├── 231-power-of-two ├── NOTES.md ├── 231-power-of-two.cpp └── README.md ├── 283-move-zeroes ├── NOTES.md ├── 283-move-zeroes.cpp └── README.md ├── 217-contains-duplicate ├── NOTES.md ├── 217-contains-duplicate.cpp ├── ContainsDuplicate.java └── README.md ├── 42-trapping-rain-water ├── NOTES.md ├── 42-trapping-rain-water.py └── README.md ├── 567-pattern └── pattern.py ├── CONTRIBUTING.md ├── README.md ├── dsa.py ├── Aptitude_questions.txt └── Aptitude Question.txt /231-power-of-two/NOTES.md: -------------------------------------------------------------------------------- 1 | ​ -------------------------------------------------------------------------------- /283-move-zeroes/NOTES.md: -------------------------------------------------------------------------------- 1 | ​ -------------------------------------------------------------------------------- /217-contains-duplicate/NOTES.md: -------------------------------------------------------------------------------- 1 | ​ -------------------------------------------------------------------------------- /42-trapping-rain-water/NOTES.md: -------------------------------------------------------------------------------- 1 | ​ -------------------------------------------------------------------------------- /217-contains-duplicate/217-contains-duplicate.cpp: -------------------------------------------------------------------------------- 1 | class Solution { 2 | public: 3 | bool containsDuplicate(vector& nums) { 4 | sort(nums.begin(),nums.end()); 5 | return unique(nums.begin(),nums.end())!=nums.end(); 6 | } 7 | }; -------------------------------------------------------------------------------- /283-move-zeroes/283-move-zeroes.cpp: -------------------------------------------------------------------------------- 1 | class Solution { 2 | public: 3 | void moveZeroes(vector& nums) { 4 | int i=0; 5 | for(int j=0;j int: 3 | left=[] 4 | right=[0]*len(height) 5 | temp=0 6 | for i in height: 7 | left.append(temp) 8 | temp=max(temp,i) 9 | temp=0 10 | for i in reversed(range(len(right))): 11 | right[i]=temp 12 | temp=max(temp,height[i]) 13 | ans=0 14 | for i in range(len(left)): 15 | temp=min(left[i],right[i])-height[i] 16 | ans+=temp if temp>0 else 0 17 | return ans -------------------------------------------------------------------------------- /217-contains-duplicate/ContainsDuplicate.java: -------------------------------------------------------------------------------- 1 | package Hacktoberfest; 2 | import java.util.Arrays; 3 | import java.util.Scanner; 4 | public class ContainsDuplicate { 5 | 6 | public static boolean containsDuplicate(int arr[]) { 7 | Arrays.sort(arr); 8 | int i=0; 9 | int j=i+1; 10 | while(j217. Contains Duplicate

Easy


Given an integer array nums, return true if any value appears at least twice in the array, and return false if every element is distinct.

2 | 3 |

 

4 |

Example 1:

5 |
Input: nums = [1,2,3,1]
 6 | Output: true
 7 | 

Example 2:

8 |
Input: nums = [1,2,3,4]
 9 | Output: false
10 | 

Example 3:

11 |
Input: nums = [1,1,1,3,3,4,3,2,4,2]
12 | Output: true
13 | 
14 |

 

15 |

Constraints:

16 | 17 |
    18 |
  • 1 <= nums.length <= 105
  • 19 |
  • -109 <= nums[i] <= 109
  • 20 |
21 |
-------------------------------------------------------------------------------- /283-move-zeroes/README.md: -------------------------------------------------------------------------------- 1 |

283. Move Zeroes

Easy


Given an integer array nums, move all 0's to the end of it while maintaining the relative order of the non-zero elements.

2 | 3 |

Note that you must do this in-place without making a copy of the array.

4 | 5 |

 

6 |

Example 1:

7 |
Input: nums = [0,1,0,3,12]
 8 | Output: [1,3,12,0,0]
 9 | 

Example 2:

10 |
Input: nums = [0]
11 | Output: [0]
12 | 
13 |

 

14 |

Constraints:

15 | 16 |
    17 |
  • 1 <= nums.length <= 104
  • 18 |
  • -231 <= nums[i] <= 231 - 1
  • 19 |
20 | 21 |

 

22 | Follow up: Could you minimize the total number of operations done?
-------------------------------------------------------------------------------- /42-trapping-rain-water/README.md: -------------------------------------------------------------------------------- 1 |

42. Trapping Rain Water

Hard


Given n non-negative integers representing an elevation map where the width of each bar is 1, compute how much water it can trap after raining.

2 | 3 | 4 | 5 |

 

6 |

Example 1:

7 | Rain Water Trap 8 |
Input: height = [0,1,0,2,1,0,1,3,2,1,2,1]
 9 | Output: 6
10 | 

Example 2:

11 |
Input: height = [4,2,0,3,2,5]
12 | Output: 9
13 | 
14 |

 

15 |

Constraints:

16 | 17 |
    18 |
  • n == height.length
  • 19 |
  • 1 <= n <= 2 * 104
  • 20 |
  • 0 <= height[i] <= 2 * 105
  • 21 |
22 | 23 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # GDSC-Aptitude-2022 2 | 3 | # Method 1 : CLI 4 | 5 | ## How to contribute? 6 | 7 | Step 1 : Fork the project repository 8 | Step 2 : Clone your fork 9 | Step 3 : Navigate to your local repository 10 | Step 4 : Check that your fork is the "origin" remote 11 | Step 5 : Add the project repository as the "upstream" remote 12 | Step 6 : Pull the latest changes from upstream into your local repository 13 | Step 7 : Create a new branch 14 | Step 8 : Make changes in your local repository 15 | Step 9 : Commit your changes 16 | Step 10 : Push your changes to your fork 17 | 18 | 19 | # Method 2 : GitHub Portal 20 | 21 | 22 | ## HOW TO CONTRIBUTE? 23 | 24 | 25 | # Step 1 : Fork Repo 26 | 27 | # Step 2 : Commit Changes by adding the answers of the questions 28 | 29 | # Step 3 : Create Pull Request 30 | 31 | 32 | ### Begin the pull request!!! 33 | 20)In a clock, the time is 3.25.What is the angle between the hour hand and the minute hand of the clock: 34 | A. 95/2 degrees 35 | B. 90/3 degrees 36 | C. 94/3 degrees 37 | D. 95/3 degrees 38 | 39 | Ans:(A)95/2 degrees 40 | -------------------------------------------------------------------------------- /231-power-of-two/README.md: -------------------------------------------------------------------------------- 1 |

231. Power of Two

Easy


Given an integer n, return true if it is a power of two. Otherwise, return false.

2 | 3 |

An integer n is a power of two, if there exists an integer x such that n == 2x.

4 | 5 |

 

6 |

Example 1:

7 | 8 |
Input: n = 1
 9 | Output: true
10 | Explanation: 20 = 1
11 | 
12 | 13 |

Example 2:

14 | 15 |
Input: n = 16
16 | Output: true
17 | Explanation: 24 = 16
18 | 
19 | 20 |

Example 3:

21 | 22 |
Input: n = 3
23 | Output: false
24 | 
25 | 26 |

 

27 |

Constraints:

28 | 29 |
    30 |
  • -231 <= n <= 231 - 1
  • 31 |
32 | 33 |

 

34 | Follow up: Could you solve it without loops/recursion?
-------------------------------------------------------------------------------- /dsa.py: -------------------------------------------------------------------------------- 1 | 1.) What is data-structure? 2 | Data structure is a way of defining, storing & retriving of data in a structural & systemetic way. A data structure may contain different type of data items. 3 | 4 | 2.) What are various data-structures available? 5 | Data structure availability may vary by programming languages. Commonly available data structures are list, arrays, stack, queues, graph, tree etc. 6 | 7 | 3.) What is algorithm? 8 | Algorithm is a step by step procedure, which defines a set of instructions to be executed in certain order to get the desired output. 9 | 10 | 4.) Why we need to do algorithm analysis? 11 | A problem can be solved in more than one ways. So, many solution algorithms can be derived for a given problem. We analyze available algorithms to find and implement the best suitable algorithm. 12 | 13 | 5.) What are the criteria of algorithm analysis? 14 | An algorithm are generally analyzed on two factors − time and space. That is, how much execution time and how much extra space required by the algorithm. 15 | 16 | 6.) What is asymptotic analysis of an algorithm? 17 | Asymptotic analysis of an algorithm, refers to defining the mathematical boundation/framing of its run-time performance. Using asymptotic analysis, we can very well conclude the best case, average case and worst case scenario of an algorithm. 18 | 19 | 7.) What are asymptotic notations? 20 | Asymptotic analysis can provide three levels of mathematical binding of execution time of an algorithm − 21 | 22 | Best case is represented by Ω(n) notation. 23 | Worst case is represented by Ο(n) notation. 24 | Average case is represented by Θ(n) notation. 25 | 26 | 8.) What is linear data structure? 27 | A linear data-structure has sequentially arranged data items. The next time can be located in the next memory address. 28 | It is stored and accessed in a sequential manner. Array and list are example of linear data structure. 29 | 30 | 9.) What are common operations that can be performed on a data-structure? 31 | The following operations are commonly performed on any data-structure − 32 | 33 | Insertion − adding a data item 34 | 35 | Deletion − removing a data item 36 | 37 | Traversal − accessing and/or printing all data items 38 | 39 | Searching − finding a particular data item 40 | 41 | Sorting − arranging data items in a pre-defined sequence 42 | 43 | 10.) Briefly explain the approaches to develop algorithms. 44 | There are three commonly used approaches to develop algorithms − 45 | 46 | Greedy Approach − finding solution by choosing next best option 47 | 48 | Divide and Conquer − diving the problem to a minimum possible sub-problem and solving them independently 49 | 50 | Dynamic Programming − diving the problem to a minimum possible sub-problem and solving them combinedly. 51 | -------------------------------------------------------------------------------- /Aptitude_questions.txt: -------------------------------------------------------------------------------- 1 | 1.John started ploughing the field at 8 O'clock before noon.He went for lunch at half past one after noon.For how many hours did he work? 2 | (a) Five and a half 3 | (b) Six and a half 4 | (c) Seven 5 | (d) Nine and half 6 | Ans:(a) Five and a half 7 | 8 | 2.If 10 kg 120 gms sugar is equally distributed among 4 people,what is the share each one will get? 9 | (a) 2 kg 430 gms 10 | (b) 25 kg 30 gms 11 | (c) 20 kg 530 gms 12 | (d) 2 kg 530 gms 13 | Ans: (c) 2 kg 530 gms 14 | 15 | 3.The length of rectangular garden is 55 metres.To have a seven layered fencing around a rectangular garden,6664 metre wire is required.Find the length of breadth of garden. 16 | (a)421 17 | (b)300 18 | (c)233 19 | (d)276 20 | Ans:(a) 421 21 | 22 | 4.There are 1,272 trees in a garden.Out of them 840 are of mango,72 are of banana and remaining are of Jackfruit.What is the number of Jackfruit trees in that garden? 23 | (a)360 24 | (b)925 25 | (c)450 26 | (d)250 27 | Ans: (a) 360 28 | 29 | 5.If we buy two and a half litre milk daily,what is the quantity of milk is bought in 4 days? 30 | (a) Fifteen 31 | (b) Ten 32 | (c) twelve 33 | (d) Nine 34 | Ans:(b) Ten 35 | 36 | 6.If 4m 80 cm long string is cut from the 8 metre long string, what is the length of the remaining portion of the string? 37 | (a) 2 m 20 cm 38 | (b) 3 m 20 cm 39 | (c) 3 m 30 cm 40 | (d) 4 m 20 cm 41 | Ans: (b) 3m 20 cm 42 | 43 | 7.It was Tuesday on 10th June,2003, which day was on 19th June,2003 ? 44 | (a) Wednesday 45 | (b) Thursday 46 | (c) Friday 47 | (d) Tuesday 48 | Ans: (b) Thursday 49 | 50 | 8. 4950/6 + 112 * 1.75 = ? * 2 51 | (a) 510.5 52 | (b) 505.2 53 | (c) 515.5 54 | (d) none of the above 55 | Ans: (a) 510.5 56 | 57 | 9. If a certain sum of money can become 5 times of its principal in 10 years,then the rate of interest is 58 | (a) 20% 59 | (b) 30% 60 | (c) 40% 61 | (d) 50% 62 | Ans: (c) 40% 63 | 64 | 10. 20 trucks can hold 150 metric tonnes. How much will 12 trucks hold ? 65 | (a) 80 metric tonnes 66 | (b) 90 metric tonnes 67 | (c) 60 metric tonnes 68 | (d) 40 metric tonnes 69 | Ans: (b) 90 metric tonnes 70 | 71 | 11.18 beads make one necklace.Like this 32 necklace are made.If in each necklace,8 beads are put,how many necklace can be made out of all these beads? 72 | (a) 58 73 | (b) 82 74 | (c) 62 75 | (d) 72 76 | Ans: (d) 72 77 | 78 | 12.Three-fourth part of a bucket having capacity of 20 litre is filled with water.How much more litre of water will be required to fill the bucket completely? 79 | (a) 15 80 | (b) 10 81 | (c) 20 82 | (d) 05 83 | Ans: (d) 05 84 | 85 | 13.The capacity of a bottle is 750 ml.How many bottles will be required to fill 9 litres of medicine? 86 | (a) 07 87 | (b) 09 88 | (c) 10 89 | (d) 12 90 | Ans: (d) 12 91 | 92 | 14.If each child collects 49 seeds,then how many seeds will be collected by 346 students of a school? 93 | (a) 16954 94 | (b) 12845 95 | (c) 18994 96 | (d) 16054 97 | Ans: (a) 16954 98 | 99 | 15.In a village,there are 6718 males and 5829 females.If there are 7548 literayes,then how many illiterates are there in the vilage? 100 | (a) 4999 101 | (b) 7059 102 | (c) 20059 103 | (d) 8437 104 | Ans: (a) 4999 105 | 106 | 16.How much salt is required to fill 120 salt bags of 250 gm each? 107 | (a) 3000 kg 108 | (b) 300 kg 109 | (c) 3 kg 110 | (d) 30 kg 111 | Ans: (d) 30 kg 112 | 113 | 17.If trees are planted at a distance of 2.5 m on both the sides of a road of 25 km,then how many trees will be planted? 114 | (a) 20000 115 | (b) 20002 116 | (c) 10000 117 | (d) 10001 118 | Ans: (b) 20002 119 | 120 | 18.If 3rd of April falls on Saturday,what will be the date of the last Saturday of the same month? 121 | (a) 31 122 | (b) 17 123 | (c) 24 124 | (d) 29 125 | Ans: (c) 24 126 | 127 | 19.If 50 paise worth 36 coins are given away and in exchange coins of Rs.2 each are taken,how many coins we will get worth Rs.2? 128 | (a) 90 129 | (b) 9 130 | (c) 900 131 | (d) 19 132 | Ans: (b) 9 133 | 134 | 20.The sum of ages of Sameer and Raju is 35 years.If Raju is younger than Sameer by 7 years,then what is Sammer's age? 135 | (a) 28 years 136 | (b) 14 years 137 | (c) 21 years 138 | (d) 17 years 139 | Ans: (c) 21 years 140 | 141 | 21.Which of the following will be correct after interchanging the position with each other for ÷ & = and 2 & 3? 142 | (a) 15 = 2+3 143 | (b) 5 ÷ 15 = 3 144 | (c) 2 = 15 ÷ 3 145 | (d) 3 = 2 ÷ 15 146 | Ans: (b) 5 ÷ 15 = 3 147 | -------------------------------------------------------------------------------- /Aptitude Question.txt: -------------------------------------------------------------------------------- 1 | 2 | ## SECTION 1 3 | 4 | 1. The average weight of four boys and A, B, C, and D is 75 kg. The fifth boy E is included 5 | and the average weight decreases by 4 kg. A is replaced by F. The weight of F is 6 6 | kg more than E. Average weight decreases because of the replacement of A and 7 | now the average weight is 72 kg. Find the weight of A. 8 | 1) 57 kg 9 | 2) 54 kg 10 | 3) 56 kg 11 | 4) 60 kg 12 | 5) 58 kg 13 | Ans: 56 kg 14 | 15 | 2. If a discount of 16% is given on the marked price of a book, the publisher gains 16 | 20%. If the discount is increased to 20% the gain percent is 17 | 1) 14 2/7% 18 | 2) 14 1/7% 19 | 3) 14 3/7% 20 | 4) 14 4/7% 21 | 5) 14 5/7% 22 | ans : 3) 23 | 24 | 3. In 165 litres of mixtures of milk and water, water is only 28%. The milkman sold 40 25 | litres of this mixture and then he added 30 litres of pure milk and 13 litres of pure 26 | water in the remaining mixture. What is the percentage of water in the final mixture? 27 | 1) 29.35% 28 | 2) 28. 57% 29 | 3) 24. 57% 30 | 4) 27. 75% 31 | 5) 26. 57% 32 | ans: 2) 28.57% 33 | 34 | 4. A rectangular plot has a concrete path running inner side of the plot is used as a 35 | lawn, which has an area of 432 sq.m. If the width of the path is 4 m and the length of 36 | the plot is greater than its breadth by 2m, what is the area of the rectangular plot? 37 | 1) 980 m^2 38 | 2) 975 m^2 39 | 3) 984 m^2 40 | 4) 960 m^2 41 | 5) 965 m^2 42 | ans: 4)960 m^2 43 | 44 | 5. Difference between the compound interest and the simple interest accrued on an 45 | amount of Rs. 18000 in two year is Rs. 405. What was the rate of interest? 46 | 1) 14% 47 | 2) 16% 48 | 3) 12.5% 49 | 4) 15% 50 | 5) 15.5% 51 | ANS = 4 (15%) 52 | 53 | 6. 12 men can complete any work in 36 days. 18 women can complete the same piece of work in 60 days. 54 | 8 men and 20 women work together for 20 days. If only the 55 | women were to complete the remaining work in 4 days, then how many women 56 | would be required? 57 | Ans. 70 58 | 59 | 7.Out of 5 women and 4 men, a committee of three members is to be formed in 60 | such a way that at least one member is woman. In how many different ways can this 61 | be done? 62 | 1) 60 63 | 2) 100 64 | 3) 120 65 | 4) 90 66 | 5) 80 67 | Ans 5) 68 | 69 | 8. Excluding the stoppages, the speed of a bus is 64 km/hr and including the 70 | stoppages the speed of the bus is 48km/hr. For how many minutes does the bus 71 | stop per hour? 72 | 1) 15 min 73 | 2) 10 min 74 | 3) 12 min 75 | 4) 20 min 76 | 5) 18 min 77 | ANS:15 min 78 | 79 | 9. A box contains 2 black, 3 orange and 4 pink ribbons. If two ribbons are drawn at 80 | random. What is the probability that both are orange? 81 | 1) 5/12 82 | 2) 1/13 83 | 3) 1/14 84 | 4) 1/12 85 | 5) 1/24 86 | Ans : Required Probability = 3C2/9C2 = 1/12 87 | 88 | 10. Pradeep invested 20% more than Mohit. Mohit invested 10% less than Raghu. If 89 | the total sum of their investment is Rs. 17880, how much amount did Raghu 90 | invested? 91 | 1) Rs. 5000 92 | 2) Rs. 6500 93 | 3) Rs. 6000 94 | 4) Rs. 7500 95 | 5) Rs. 5500 96 | Ans RS.6000 97 | 98 | 11. 1+1=? 99 | 100 | 1) 50 101 | 2) 65 102 | 3) 6000 103 | 4) 2 104 | 5) 5500 105 | Ans : 2 106 | 107 | 108 | Solution: 109 | Let the investment by Raghu be x 110 | Mohit = x * 90/100 = 9x/10 111 | Pradeep = 9x/10 * 120/100 = 108x/100 112 | x + 9x/10 + 108x/100 = 17880 113 | x = Rs. 6000 114 | 115 | Answer : 3) 116 | 117 | 11. With the money I have, I can buy 50 pens or 150 pencils. I kept 10% aside for taxi fare. With the remaining, I purchased 54 pencils and P pens. What is the value of P? 118 | 1) 32 119 | 2) 30 120 | 3) 27 121 | 4) None of these 122 | 123 | Solution: 124 | Since cost of, 50 pens = 150 pencils, With the cost of 3 pencils I can buy 1 pen. 125 | After putting aside 10% for taxi I was left with 90% of the money, with which I can buy 135 pencils (90% of 150) or 45(90% of 50) pens, 126 | I bought 54 pencils and P pens, or I could have bought (54 + 3P) pencil, 127 | 54 + 3P = 135, 128 | 3P = 135 - 54 = 81, 129 | P = 27 130 | 131 | Answer : 3) 27 132 | 133 | 12. Ram sells an article at three-fourth of its list price and makes a loss of 10%. Find the profit percentage if he sells at the list price. 134 | 1) 20% 135 | 2) 25% 136 | 3) 15% 137 | 4) None of these 138 | 139 | Solution: 140 | Let the list price be x, 141 | S.P = 3/4x, S.P = (100 – loss%) / 100*C.P = 0.9 C.P 142 | 3/4x = 0.9 C.P, C.P = 3x / 3.6 143 | If S.P = x, Profit % = (x- 3x/3.6 ) / ( 3x/3.6 ) * 100 = 60/3 = 20% 144 | 145 | Answer : 1) 20% 146 | 147 | 13. Three times a number is 20% more than twice another number when increased by 105. If twice the first number increased by 36 is 20% less than three times of the second number, then what is the first number? 148 | 1) 150 149 | 2) 162 150 | 3) 180 151 | 4) None of these 152 | 153 | Solution: 154 | Let the two numbers be x and y. 155 | 3x = 1.2( 2y + 105) 156 | 3x = 2.4y + 126 ………………(1) 157 | 2x + 36 = 0.8(3y) 158 | 2x + 36 = 2.4y ……………(2) 159 | x = 162 160 | 161 | Answer : 2) 162 162 | 163 | 164 | 165 | 166 | ## SECTION 2 : Data Interpretation 167 | 168 | 169 | 170 | 1. In 2001, 6400 candidates appeared at the exam and 40% of them qualified. In 2005 the 171 | ratio between qualified males and females was 3:5. What is the total number of female 172 | candidates who qualified in these two years? 173 | A. 1120 174 | B. 1220 175 | C. 1330 176 | D. 1150 177 | E. None of the Above 178 | ans: B.1220 179 | 180 | 2. In 2004, what percent of male candidates did qualify in the exam among all qualified 181 | candidates? 182 | A. 51% 183 | B. 61% 184 | C. 55% 185 | D. 56% 186 | E. None of the Above 187 | Ans. B. 61% 188 | 189 | 3. In 2002, 54% of appeared candidates did qualify. How many female candidates did 190 | qualify in the exam? 191 | A. 280 192 | B. 170 193 | C. 180 194 | D. 250 195 | E. 240 196 | ans: c) 180 197 | 198 | 4. In 2003, a total of 68 male candidates did qualify. What is the respective ratio between 199 | males and females who had qualified in 2003? 200 | A. 11:25 201 | B. 19:25 202 | C. 17:25 203 | D. 25:13 204 | E. 13:19 205 | Ans= C.17:25 206 | 207 | 5. What is the average number of candidates who did not qualify in the exam in the years 208 | 2003 and 2005? 209 | A. 576 210 | B. 556 211 | C. 528 212 | D. 546 213 | E. None of the Above 214 | ans : 556 215 | 216 | 5. What is the average number of candidates who did not qualify in the exam in the years 217 | 2003 and 2005? 218 | A. 576 219 | B. 556 220 | C. 528 221 | D. 546 222 | E. None of the Above 223 | Ans. A. 576 224 | 225 | 6. In 2003, if the number of female qualified candidates was 70, what was the respective 226 | ratio of number of female qualified candidates and number of male qualified candidates 227 | same year? 228 | A. 5:9 229 | B. 7:11 230 | C. 10:11 231 | D. 10:13 232 | E. 5:7 233 | ans : 5:9 234 | 235 | 236 | 7. Number of appeared candidates increased by 20% from 2002 to 2006. If 25% of the 237 | appeared candidates qualified in 2006, what was the number of qualified candidates in 238 | 2006? 239 | A. 205 240 | B. 215 241 | C. 245 242 | D. 240 243 | E. 230 244 | Ans= B. 215 245 | 246 | 8. If the average number of qualified candidates in 2002 and 2005 was 433, what percent of 247 | appeared candidates qualified in the competitive exam in 2002? 248 | A. 60% 249 | B. 75% 250 | C. 45% 251 | D. 70% 252 | E. 50% 253 | Ans=A.60% 254 | 255 | 9. In 2004, if the difference between number of male qualified candidates and number of 256 | female qualified candidates was 120, what was the number of appeared candidates in 257 | 2004? 258 | A. 840 259 | B. 800 260 | C. 660 261 | D. 600 262 | E. 720 263 | Ans = B (800) 264 | 265 | 10. In 2001, the respective ratio of number of appeared candidates to qualified candidates 266 | was 5:2. Number of female candidates qualified in 2001 constitutes what percent of the 267 | number of appeared candidates in the same year? 268 | A. 15% 269 | B. 25% 270 | C. 125% 271 | D. 20% 272 | E. Can not be determined 273 | Ans = A.15 274 | 275 | 276 | Q 11. Which one of the following could be a complete list of the number of rooms and colours that Mr X used to paint some of the rooms of his house? 277 | 278 | A. one blue, one Terry cherry, one violet latte, two happy pink 279 | B. one blue, one teal, one Terry cherry, three happy pink 280 | C. two blue, one teal, three Terry Cherry 281 | D. one jacket, one Terry cherry, two violet latte and one happy pink 282 | Ans = A) one blue, one Terry cherry, one violet latte, two happy pink 283 | 284 | SECTION 3 : 285 | 286 | 287 | 1).Which institute has the highest percentage of candidates successful to enrolled? 288 | a) D 289 | b) E 290 | c) A 291 | d) F 292 | e) None of these 293 | 294 | 2).What percent of candidates from institute D have come out to be successful out of 295 | the total candidates enrolled from this institute? 296 | a) 115 297 | b) 95 298 | c) 80 299 | d) 85 300 | e) None of these 301 | 302 | 3).What is the approximate percentage of candidates successful to enrolled from 303 | institute A? 304 | a) 92 305 | b) 89 306 | c) 86 307 | d) 96 308 | e) 88 309 | 310 | 4).What is the ratio between the enrolled and successful candidates from the 311 | institutes B and C together? 312 | a) 55:12 313 | b) 5:7 314 | c) 135:271 315 | d) 5:3 316 | e) None of these 317 | 318 | 5).What is the percentage of successful candidates from institute E and F together 319 | over the candidates enrolled from these institutes together? 320 | a) 76 321 | b) 105 322 | c) 80 323 | d) 74 324 | e) None of these 325 | 326 | 327 | 6).If total income of company B in 2008 was Rs.140 crore, what was the total 328 | expenditure of that company in the same year? (approx) 329 | a) Rs.100.66 cr. 330 | b) Rs.110.33 cr. 331 | c) Rs.98.22 cr. 332 | d) Rs.94.90 cr. 333 | e) Rs.96.55 cr. 334 | 335 | 7).If total expenditure of company B in 2009 and 2010 was Rs.270 crore, what was 336 | total income of that company in both the same years? 337 | a) Rs.121.5 cr. 338 | b) Rs.135 cr. 339 | c) Rs.140 cr. 340 | d) Data inadequate 341 | e) None of these 342 | ans: e) None of these 343 | 344 | 345 | 8).In which year was the total income more than double the total expenditure in that 346 | year for company A? 347 | a) 2010 348 | b) 2009 349 | c) 2011 350 | d) 2008 351 | e) None of these 352 | ans:2011 353 | 354 | 9).If the total expenditure of company A in 2010 was Rs.200 cr. What was the total 355 | income of that company in the same year? 356 | a) Rs.260 cr. 357 | b) Rs.300 cr. 358 | c) Rs.160 cr. 359 | d) Data inadequate 360 | e) None of these 361 | Ans. a) 362 | 363 | 10).If the income of company A in 2009 was Rs.100 cr. Then what was the 364 | expenditure of company B in that year? 365 | a) Rs.150 cr. 366 | b) Rs.120 cr. 367 | c) Rs.140 cr. 368 | d) Can’t be determined 369 | e) None of these 370 | 371 | 11).A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day? 372 | 373 | A. 12 days 374 | B. 15 days 375 | C. 16 days 376 | D. 18 days 377 | Ans: B.15 days 378 | 379 | 380 | 12). In 2004, if the difference between number of male qualified candidates and number of 381 | female qualified candidates was 120, what was the number of appeared candidates in 382 | 2004? 383 | A. 840 384 | B. 800 385 | C. 660 386 | D. 600 387 | E. 720 388 | section:3 389 | 390 | 391 | 13).Out of all the 2-digit integers between 1 and 100, a 2-digit number has to be selected at random. What is the probability that the selected number is not divisible by 7? 392 | A.13/90 393 | B.12/90 394 | C.78/90 395 | D.77/90 396 | 397 | ANS: 77/90 398 | 399 | ANS:Option D 400 | Explanation :Total number of two digits numbers in range of 1 to 100 is 77. 401 | 402 | 403 | 14) How many times the hands of a clock coincide in a day? 404 | A.24 405 | B.22 406 | C.23 407 | D.21 408 | ANS:Option B 409 | Explaination: The hands overlap about every 65 minutes, not every 60 minutes. The hands coincide 22 times in a day. 410 | 411 | 412 | 14) A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? 413 | A. 120 metres 414 | B. 180 metres 415 | C. 324 metres 416 | D. 150 metres 417 | 418 | ans : D : 150 metres 419 | 420 | 15)What is the average of first five multiples of 12? 421 | A.36 422 | B.38 423 | C.40 424 | D.42 425 | 426 | ANS : A 427 | 428 | 15)Sohan started a business with a capital of Rs. 80000. After 6 months Mohan joined as a partner by investing Rs. 65000. After one year they earned total profit Rs. 20000. What is share of Sohan in the profit? 429 | 430 | 1.Rs. 5222.2 431 | 2.Rs. 5777.7 432 | 3.Rs. 6222.2 433 | 4.Rs. 6777.7 434 | 435 | Ans:2.5777.7 436 | 437 | 16)In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs? 438 | 439 | A. 6.25 440 | B. 6.5 441 | C. 6.75 442 | D. 7 443 | 444 | Ans: A - 6.25 445 | 16)In the first 10 overs of a cricket game, the run rate was only 10. What should be the run rate in the remaining 10 overs to reach the target of 300 runs? 446 | 447 | A. 19 448 | B. 20 449 | C. 33 450 | D. 9 451 | 452 | Ans: B - 20 453 | 17)The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is: 454 | 455 | A. 200 m 456 | B. 225 m 457 | C. 245 m 458 | D. 250 m 459 | Ans : C - 245 460 | 461 | 18)Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B? 462 | 463 | A. Rs. 6400 464 | B. Rs. 6500 465 | C. Rs. 7200 466 | D. Rs. 7500 467 | Ans A-Rs 6400 468 | 469 | 470 | 19)The average weight of 10 men is decreased by 2 kg when one of them whose weight is 60 kg is replaced by a new man. What is the weight of the new man? 471 | A. 35 kg 472 | B. 40 kg 473 | C. 45 kg 474 | D. 50 kg 475 | Ans B-40 kg 476 | 477 | 20)A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of: 478 | 479 | A. 0% 480 | B. 5% 481 | C. 7.5% 482 | D. 10% 483 | Ans A 0% 484 | 485 | 21) Find the next number in the sequence: 0, 6, 24, 60, 120, ___ 486 | 487 | A. 360 488 | B. 180 489 | C. 240 490 | D. 210 491 | Ans. - D. 210 492 | ======= 493 | 494 | 495 | 496 | 497 | 498 | 499 | 500 | 501 | 502 | 503 | 504 | 505 | 506 | 507 | 508 | 509 | 510 | 511 | 512 | 513 | 514 | 515 | 516 | 517 | Q) By working 5 hours/day, 4 waiters can serve 250 dishes in 8 days. 2 waiters would require how many hours/day to serve 500 dishes in 20 days? 518 | 519 | a) 8 hrs/day 520 | b) 6 hrs/day 521 | c) 7 hrs/day 522 | d) 9 hrs/day 523 | 524 | Answer: 8 hrs/day 525 | 526 | 19)Which term of the A.P. 4,9,14,19... is 109? 527 | A.12 528 | B.19 529 | C.22 530 | D.27 531 | Ans :c -22 532 | 533 | 20)In a clock, the time is 3.25.What is the angle between the hour hand and the minute hand of the clock: 534 | A. 95/2 degrees 535 | B. 90/3 degrees 536 | C. 94/3 degrees 537 | D. 95/3 degrees 538 | 539 | Ans:(A) 540 | Explanation: As, the hour hand covers 360 degrees in 12 hrs. 541 | In the clock the time is 3.25 = 3 hrs 25 min = 41/12 hrs. 542 | So, the angle traced by hour hand = (360/12 x 41/12) degrees = 205 degrees. 543 | The minute hand covers 360 degrees in 60 minutes. 544 | So, the angle is traced by minute hand in 25 min = (360/60 x 25) degrees = 150 degrees. 545 | Hence, the required angle of the clock = (150- 205/2) degrees = 95/2 degrees. 546 | 547 | 21)In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit? 548 | A. 30% 549 | B. 70% 550 | C. 100% 551 | D. 250% 552 | Ans: B -70% 553 | 554 | 21)What is correct time and day of Ram's magical watch, which gains uniformly 300 seconds slow at time 08:00 on Sunday and 348 fast at 20;00 on following Sunday. 555 | A. 21 min past 7 pm and Wednesday 556 | B. 20 min past 7 pm and Thursday 557 | C. 21 min past 7 pm and Thursday 558 | D. 20 min past 7 pm and Wednesday 559 | Answer: b -20 min past 7 pm and Thursday 560 | 561 | 23)The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's discount is: 562 | 563 | A. Rs. 960 564 | B. Rs. 1020 565 | C. Rs. 840 566 | D. Rs. 760 567 | Answer: Option B 568 | ======= 569 | 570 | SECTION 4: 571 | 572 | 1. A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour? 573 | A. 3.6 574 | B. 7.2 575 | C. 8.4 576 | D. 10 577 | Answer: B 578 | 579 | 2. An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of? 580 | A. 300 kmph 581 | B. 360 kmph 582 | C. 600 kmph 583 | D. 720 kmph 584 | Answer: D 585 | 586 | 3. A car covers its journey at the speed of 80km/hr in 10hours. If the same distance is to be covered in 4 hours, by how much the speed of car will have to increase? 587 | A. 40km/hr 588 | B. 60km/hr 589 | C. 90km/hr 590 | D. 120km/hr 591 | Answer: D 592 | 593 | 4. A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house? 594 | A. 3 1/5 Km 595 | B. 2 1/5 Km 596 | C. 4 1/5 Km 597 | D. 5 1/5 Km 598 | Answer: A 599 | 600 | 5. An express train travelled at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point? 601 | A. 6 hrs 27 min 602 | B. 6 hrs 24 min 603 | C. 6 hrs 21 min 604 | D. 6 hrs 30 min 605 | Answer: C 606 | 607 | 6. Two trains starting at the same time from 2 stations 200 km apart and going in opposite direction cross each other at a distance of 110 km from one of the stations. What is the ratio of their speeds? 608 | A.11:9 609 | B. 7:3 610 | C. 18:4 611 | D. None of these 612 | Answer: A 613 | 614 | 7. Walking at the rate of 4 kmph a man cover a certain distance in 2 hr 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in. 615 | A. 12 min 616 | B. 40 min 617 | C. 50 min 618 | D. 60 min 619 | Answer: B 620 | 621 | 8. Walking 6/7th of his usual speed, a man is 12 minutes too late. What is the usual time taken by him to cover that distance? 622 | A. 1 hr 42 min 623 | B. 1 hr 624 | C. 2 hr 625 | D. 1 hr 12 min 626 | Answer: D 627 | 628 | 9. The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours? 629 | A. 456 km 630 | B. 482 km 631 | C. 558 km 632 | D. 552 km 633 | Answer: D 634 | 635 | 10. A runner can complete a 750 m race in two and a half minutes. Will he be able to beat another runner who runs at 17.95 km/hr? 636 | A. Yes 637 | B. No 638 | C. Insufficient Data 639 | D. None 640 | Answer: A 641 | 642 | 11. Express 25 mps in kmph? 643 | A. 15 kmph 644 | B. 99 kmph 645 | C. 90 kmph 646 | D. None 647 | Answer: C 648 | 649 | 12. How long will a boy take to run round a square field of side 35 meters, If he runs at the rate of 9 km/hr? 650 | A. 50 sec 651 | B. 52 sec 652 | C. 54 sec 653 | D. 56 sec 654 | Answer: D 655 | 656 | 13. A speed of a train is 20 meters per second. It can cross a pole in 10 seconds. What is the length of a train? 657 | A. 150 m 658 | B. 250 m 659 | C. 200 m 660 | D. 300 m 661 | Answer: C 662 | 663 | Explaination : As the speed of a train i.e v = 20 m/s. 664 | it can cross a pole in 10 seconds , t = 10 sec. 665 | length of a train = Distance covered by it (d) 666 | we know that distance = velocity * time 667 | d = v * t = 20 * 10 = 200 m. 668 | Therefore distance = 200 m. 669 | so the length of the train is 200 m. 670 | 671 | 14. Nancy travelled a distance of 455 km by car in 10 hours. Find the speed of the car. 672 | A. 25.5 km/hr 673 | B. 45.5 km/hr 674 | C. 30 km/hr 675 | D. 65 km/hr 676 | Answer: B 677 | 678 | 15. A person goes from A to B at the speed of 40 kmph and comes back at the speed of 60 kmph. What is his average speed for the whole journey? 679 | A. 56 km/h 680 | B. 48 km/h 681 | C. 36 km/h 682 | D. 25 km/h 683 | Answer: B 684 | 685 | 16. Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds.The ratio of their speeds is: 686 | A. 1:3 687 | B. 3:2 688 | C. 3:4 689 | D. None of these 690 | Answer: Option B. 3:2 691 | 692 | ---------------------------------- 693 | 694 | 695 | SECTION 5 : 696 | 697 | 1. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is: 698 | A. 12 cm3 699 | B. 15 cm3 700 | C. 16 cm3 701 | D. 20 cm3 702 | ANSWER: A 703 | 704 | 2. In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is: 705 | A. 75 cu. m 706 | B. 750 cu. m 707 | C. 7500 cu. m 708 | D. 75000 cu. m 709 | ANSWER: B 710 | 711 | 3.A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is: 712 | A. 720 713 | B. 900 714 | C. 1200 715 | D. 1800 716 | ANSWER: C 717 | 718 | 4. 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be: 719 | A. 84 720 | B. 90 721 | C. 168 722 | D. 336 723 | ANSWER: A 724 | 725 | 5. A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is: 726 | A. 3.6 kg 727 | B. 3.696 kg 728 | C. 36 kg 729 | D. 36.9 kg 730 | ANSWER: B 731 | 732 | 6. The banker's discount on a sum of money for 1 years is Rs. 558 and the true discount on the same sum for 2 years is Rs. 600. The rate percent is: 733 | 734 | A. 10% 735 | B. 13% 736 | C. 12% 737 | D. 15% 738 | Answer: C 739 | 740 | A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? 741 | 742 | A. 120 metres 743 | B. 180 metres 744 | C. 324 metres 745 | D. 150 metres 746 | Answer: Option D 747 | 748 | A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is: 749 | 750 | A. 45 km/hr 751 | B. 50 km/hr 752 | C. 54 km/hr 753 | D. 55 km/hr 754 | Answer: Option B 755 | 756 | 757 | A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream. 758 | 759 | A. 2 hours 760 | B. 3 hours 761 | C. 4 hours 762 | D. 5 hours 763 | Answer: Option C 764 | 765 | Sohan started a business with a capital of Rs. 80000. After 6 months Mohan joined as a partner by investing Rs. 65000. After one year they earned total profit Rs. 20000. What is share of Sohan in the profit? 766 | 767 | A. Rs. 5222.2 768 | B. Rs. 5777.7 769 | C. Rs. 6222.2 770 | D. Rs. 6777.7 771 | Answer : Option B 772 | 773 | If the radius of a circle is diminished by 10%, then its area is diminished by: 774 | 775 | A. 10% 776 | B. 19% 777 | C. 20% 778 | D. 36% 779 | Answer: Option c 780 | 781 | A trader marks his goods 45% above the cost price and gives a discount of 20% on the marked price. The gain % on goods he makes is: 782 | 783 | A. 35% 784 | B. 12% 785 | C. 26% 786 | D. 16% 787 | Answer: Option d 788 | 789 | Which of the follow successive discount is better for to a customer? 790 | a) 20%,15%, 10% or 791 | b) 25%, 12%, 8% 792 | 793 | A. a) is better 794 | B. b) is better 795 | C. both a) or b) are same 796 | D. None of these 797 | Answer: Option b 798 | 799 | If x:y = 3:2 and y:z = 6:5 then x:y:z = ? 800 | 801 | A. 9:6:4 802 | B. 9:6:5 803 | C. 3:2:0.5 804 | D. 3:6:5 805 | Answer: Option b 806 | 807 | If 10 men complete a piece of work in 30 days, how many men are required to complete the same in 25 days? 808 | A. 35 809 | B. 18 810 | C. 12 811 | D. 20 812 | Answer: Option c 813 | 814 | Bunty can do 25% of work in 10 days. How many days will he take to complete a work equal to 5 times this work? 815 | A. 250 days 816 | B. 200 days 817 | C. 300 days 818 | D. 350 days 819 | Answer: Option b 820 | 821 | 10 men can dig a hole in 18 days. After 6 days, 5 more men joined. After how many days the remaining work would be completed? 822 | A. 16 days 823 | B. 11 days 824 | C. 8 days 825 | D. 18 days 826 | Answer: Option c 827 | 828 | 18 men working 8 hours a day can complete a work in 5 days. Working at a rate of 6 hours a day, the number of men required to finish the work in 10 days is? 829 | A. 12 days 830 | B. 10 days 831 | C. 15days 832 | D. 20 days 833 | Answer: Option A 834 | 835 | The Central Rice Research Station is situated in? 836 | (a) Chennai 837 | (b) Cuttack 838 | (c) Bangalore 839 | (d) Quilon 840 | Answer: Option b 841 | --------------------------------------------------------------------------------