UPSC CSE Prelims CSAT (Paper II) previous year questions on Linear Equations (Quantitative Ability), asked from 2011–2026, with answers. There are 88 questions in this post. Attempt each question, then click Show Answer to check.
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1] The weight of X, in kg, is denoted by X. The weights of A, B, C, D, P, Q, R and S are measured. Given:
A + B + C + D = 17
A + C = 6
P + Q + S + D = 15
P + Q + R + B = 17
P = R and Q = S
Which one of the following statements is correct? [2026/8]
(a) B and D together weigh less than the total weight of P and Q.
(b) P and Q together weigh more than the total weight of A and C.
(c) P weighs more than Q.
(d) Q weighs more than P.
Show Answer
Ans: (b) P and Q together weigh more than the total weight of A and C.
2] A toy T jumps forward or backward. In each forward jump, it moves 5′ forward whereas in each backward jump, it moves 2′ backward. If in 31 jumps, T moves exactly 15′ forward, then what is the difference of the number of forward and backward jumps? [2026/13]
(a) 6
(b) 7
(c) 8
(d) 9
Show Answer
Ans: (d) 9
3] In an objective type question paper, 5 marks are awarded for a correct answer and 2 marks are deducted for a wrong answer. A student attempted all the questions and got a score of 69. Had he been awarded 4 marks for a correct answer and 1 mark deducted for a wrong answer, he would have scored 84. How many questions were there in the question paper? [2026/38]
(a) 99
(b) 81
(c) 84
(d) 79
Show Answer
Ans: (b) 81
4] A shopkeeper employs a delivery boy and gives him a motorcycle for home delivery. For every delivery, the boy is given ₹5. At the end of the day, he also gets ₹2 for every kilometre of the distance covered in the day. The boy wants to earn more than ₹500 a day, but does not want to travel more than 100 km. Which of the following numbers of deliveries would definitely meet his target? [2026/80]
(a) 80
(b) 85
(c) 90
(d) The question cannot be answered due to insufficient data
Show Answer
Ans: (d) The question cannot be answered due to insufficient data
5] If 4 ≤ x ≤ 8 and 2 ≤ y ≤ 7, then what is the ratio of maximum value of (x + y) to minimum value of (x − y)? [2025/26]
(a) 6
(b) 15/2
(c) −15/2
(d) None of the above
Show Answer
Ans: (d) None of the above
6] Let PQR be a 3-digit number, PPT be a 3-digit number and PS be a 2-digit number, where P, Q, R, S, T are distinct non-zero digits. Further, PQR − PS = PPT. If Q = 3 and T < 6, then what is the number of possible values of (R, S)? [2025/29]
(a) 2
(b) 3
(c) 4
(d) More than 4
Show Answer
Ans: (b) 3
7] The 5-digit number PQRST (all distinct digits) is such that T ≠ 0, P is thrice T. S is greater than Q by 4, while Q is greater than R by 3. How many such 5-digit numbers are possible? [2025/58]
(a) 3
(b) 4
(c) 5
(d) 6
Show Answer
Ans: (b) 4
8] A father said to his son, “n years back I was as old as you are now. My present age is four times your age n years back”. If the sum of the present ages of the father and the son is 130 years, what is the difference of their ages? [2024/29]
(a) 30 years
(b) years
(c) 34 years
(d) 36 years
Show Answer
Ans: (a) 30 years
9] Let X be a two-digit number and Y be another two-digit number formed by interchanging the digits of X. If (X + Y) is the greatest two-digit number, then what is the number of possible values of X? [2024/35]
(a) 2
(b) 4
(c) 6
(d) 8
Show Answer
Ans: (d) 8
10] If the sum of the two-digit numbers AB and CD is the three-digit number 1CE, where the letters A, B, C, D, E denote distinct digits, then what is the value of A? [2024/48]
(a) 9
(b) 8
(c) 7
(d) Cannot be determined due to insufficient data
Show Answer
Ans: (a) 9
11] Three numbers x, y, z are selected from the set of the first seven natural numbers such that x > 3z. How many such distinct triplets (x, y, z) are possible? [2024/49]
(a) One triplet
(b) Two triplets
(c) Three triplets
(d) Four triplets
Show Answer
Ans: (d) Four triplets
12] The total cost of 4 oranges, 6 mangoes and 8 apples is equal to twice the total cost of 1 orange, 2 mangoes and 5 apples.
Consider the following statements:
1. 1. The total cost of 3 oranges, 5 mangoes and 9 apples is equal to the total cost of 4 oranges, 6 mangoes and 8 apples.
2. 2. The total cost of one orange and one mango is equal to the cost of one apple.
Which of the statements given above is/ are correct? [2024/50]
(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2
Show Answer
Ans: (c) Both 1 and 2
13] If ABC and DEF are both 3-digit numbers such that A, B, C, D, E and F are distinct non-zero digits such that ABC + DEF= 1111, then what is the value of A+B+C+D+E+F? [2023/9]
(a) 28
(b) 29
(c) 30
(d) 31
Show Answer
Ans: (d) 31
14] D is a 3-digit number such that the ratio of the number to the sum of its digits is least. What is the difference between the digit at the hundred’s place and the digit at the unit’s place of D? [2023/10]
(a) 0
(b) 7
(c) 8
(d) 9
Show Answer
Ans: (c) 8
15] A 3-digit number ABC, on multiplication with D gives 37DD where A, B, C and D are different non-zero digits. What is the value of A+B+C? [2023/16]
(a) 18
(b) 16
(c) 15
(d) Cannot be determined due to insufficient data
Show Answer
Ans: (a) 18
16] Let x be a positive integer such that 7x+ 96 is divisible by x. How many values of x are possible? [2023/25]
(a) 10
(b) 11
(c) 12
(d) Infinitely many
Show Answer
Ans: (c) 12
17] If p, q, r and s are distinct single digit positive numbers, then what is the greatest value of (p+q) (r+s)? [2023/26]
(a) 230
(b) 225
(c) 224
(d) 221
Show Answer
Ans: (b) 225
18] What is the sum of all digits which appear in all the integers from 10 to 100? [2023/29]
(a) 855
(b) 856
(c) 910
(d) 911
Show Answer
Ans: (b) 856
19] AB and CD are 2-digit numbers. Multiplying AB with CD results in a 3-digit number DEF. Adding DEF to another 3-digit number GHI to results in 975. Further A. B, C, D, E, F, G, H, I are distinct digits, If E= 0, F=8, then what is A + B + C equal to? [2023/76]
(a) 6
(b) 7
(c) 8
(d) 9
Show Answer
Ans: (a) 6
20] A bill of Rs. 1840 is paid in the denominations of Rs. 50. Rs. 20 and Rs. 10 notes. 50 notes in all are used. Consider the following statements.
1. 25 notes of Rs. 50 are used and the remaining are the denominations of Rs. 20 and
Rs. 10
2. 35 notes of 20 are used and the remaining are in the denominations of Rs. 50 and Rs.10
3. 20 notes of Rs. 10 are used and the remaining are in the denominations of Rs. 50 and Rs. 20
Which of the above statements are not correct? [2022/8]
(a) 1 and 2 only
(b) 2 and 3 only
(c) 1 and 3 only
(d) 1, 2 and 3
Show Answer
Ans: (d) 1, 2 and 3
21] Five friends P, Q, X, Y and Z purchased notebooks. The relevant information is given below:
1. Z purchased 8 notebooks more than X did.
2. P and Q together purchased 21 notebooks.
3.Q purchased 5 notebooks less than P did.
4. X and Y together purchased 28 notebooks.
5. P purchased 5 notebooks more than X did.
If each notebook is priced Rs. 40, then what is the total cost of all the notebooks? [2022/45]
(a) Rs. 2,600
(b) Rs. 2,400
(c) Rs. 2,360
(d) Rs. 2,320
Show Answer
Ans: (a) Rs. 2,600
22] A person X wants to distribute some pens among six children A, B, C, D, E and F. Suppose A gets twice the number of pens received by B, three times that of C, four times that of D, five times that of E and six times that of F. What is the minimum number of pens X should buy so that the number of pens each one gets is an even number? [2022/47]
(a) 147
(b) 150
(c) 294
(d) 300
Show Answer
Ans: (c) 294
23] Let A, B and C represent distinct nonzero digits. Suppose x is the sum of all possible 3-digit numbers formed by A, B and C without repetition.
Consider the following statements:
1. The 4-digit least value of x is 1332.
2. The 3-digit greatest value of x is 888.
Which of the above statements is/are correct? [2022/54]
(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2
Show Answer
Ans: (a) 1 only
24] Let p be a two-digit number and q be the number consisting of same digits written in reverse order. If p x q = 2430, then what is the difference between p and q? [2022/66]
(a) 45
(b) 27
(c) 18
(d) 9
Show Answer
Ans: (d) 9
25] Jay and Vijay spent an equal amount of money to buy some pens and special pencils of the same quality from the same store. If Jay bought 3 pens and 5 pencils, and Vijay bought 2 pens and 7 pencils, then which one of the following is correct? [2021/53]
(a) A pencil costs more than a pen
(b) The price of a pencil is equal to that of a pen
(c) The price of a pen is two times the price of a pencil
(d) The price of a pen is three times the price of a pencil
Show Answer
Ans: (c) The price of a pen is two times the price of a pencil
26] P scored 40 marks more than Q in an examination. If Q scored 10% less marks than P, then how much did Q score? [2021/54]
(a) 360
(b) 380
(c) 400
(d) 420
Show Answer
Ans: (a) 360
27] A person P asks one of his three friends X as to how much money he had. X replied, “If Y gives Rs. 40, then Y will have half of as much as Z, hut if Z gives Rs. 40, then three of us will have equal amount.” What is the total amount of money that X, Y and Z have? [2021/55]
(a) Rs. 420
(b) Rs. 360
(c) Rs. 300
(d) Rs. 270
Show Answer
Ans: (b) Rs. 360
28] In an objective type test of 90 questions, 5 marks are allotted for every correct answer and 2 marks are deducted for every wrong answer. After attempting all the 90 questions, a student got a total of 387 marks. What is the number of incorrect responses? [2021/58]
(a) 9
(b) 13
(c) 27
(d) 43
Show Answer
Ans: (a) 9
29] Consider the following multiplication problem:
(PQ) x 3 = RQQ, where P, Q and R are different digits and R=/= 0.
What is the value of (P + R) / Q? [2021/60]
(a) 1
(b) 2
(c) 5
(d) Cannot be determined due to insufficient data
Show Answer
Ans: (b) 2
30] There are three points P, Q and R on a straight line such that PQ: QR= 3: 5. If n is the number of possible values of PQ: PR, then what is n equal to? [2021/63]
(a) 1
(b) 2
(c) 3
(d) 4
Show Answer
Ans: (b) 2
31] Consider the following statements:
1. The sum of 5 consecutive integers can be 100.
2. The product of three consecutive natural numbers can be equal to their sum.
Which of the above statements is/are correct? [2021/67]
(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2
Show Answer
Ans: (c) Both 1 and 2
32] The difference between a 2-digit number and the number obtained by interchanging the positions of the digits is 54. Consider the following statements:
1. The sum of the two digits of the number can be determined only if the product of the two digits is known.
2. The difference between the two digits of the number can be determined.
Which of the above statements is/are correct? [2021/76]
(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2
Show Answer
Ans: (b) 2 only
33] X said to Y, “At the time of your birth I was twice as old as you are at present.” If the present age of X is 42 years, then consider the following statements:
1. 8 years ago, the age of X was five times the age of Y.
2. After 14 years, the age of X would be two times the age of Y.
Which of the above statements is/are correct? [2021/77]
(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2
Show Answer
Ans: (b) 2 only
34] Let XYZ be a three-digit number, where (x + y + Z) is not a multiple of 3. Then (XYZ + YZX + ZXY) is not divisible by. [2020/8]
(a) 3
(b) 9
(c) 37
(d) (X+Y+Z)
Show Answer
Ans: (b) 9
35] In the sum ⊗+1⊗+5⊗+⊗⊗+⊗1=1⊗⊗ for which digit does the symbol ⊗ stand? [2020/11]
(a) 2
(b) 3
(c) 4
(d) 5
Show Answer
Ans: (b) 3
36] One page is torn from a booklet whose pages are numbered in the usual manner starting from the first page as 1. The sum of the numbers on the remaining pages is 195. The torn page contains which of the following numbers? [2020/14]
(a) 5, 6
(b) 7, 8
(c) 9, 10
(d) 11, 12
Show Answer
Ans: (b) 7, 8
37] Let A3BC and DE2F be four-digit numbers where each letter represents a different digit greater than 3. If the sum of the numbers is 15902, then what is the difference between the values of A and D? [2020/16]
(a) 1
(b) 2
(c) 3
(d) 4
Show Answer
Ans: (c) 3
38] How many different sums can be formed with the denominations Rs. 50, Rs. 100, Rs. 200, Rs. 500 and Rs. 2,000 taking at least three denominations at a time? [2020/60]
(a) 16
(b) 15
(c) 14
(d) 10
Show Answer
Ans: (a) 16
39] A vessel full of water weighs 40 kg. If it is one-third filled, its weight becomes 20 kg. What is the weight of the empty vessel? [2020/79]
(a) 10 kg
(b) 15 kg
(c) 20 kg
(d) 25 kg
Show Answer
Ans: (a) 10 kg
40] A frog tries to come out of a dried well 4.5 m deep with slippery walls. Every time the frog jumps 30 cm, slides down 15 cm. what is the number of jumps required for the frog to come out of the well? [2020/80]
(a) 28
(b) 29
(c) 30
(d) 31
Show Answer
Ans: (b) 29
41] In 2002, Meenu’s age was one-third of the age of Meera, whereas in 2010, Meenu’s age was half the age of Meera. What is Meenu’s year of birth? [2019/18]
(a) 1992
(b) 1994
(c) 1996
(d) 1998
Show Answer
Ans: (b) 1994
42] Rakesh and Rajesh together bought 10 balls and 10 rackets. Rakesh spent 1300 and Rajesh spent 1500. If each racket costs three times a ball does, then what is the price of a racket? [2019/19]
(a) Rs. 70
(b) Rs. 90
(c) Rs. 210
(d) Rs. 240
Show Answer
Ans: (c) Rs. 210
43] In a conference, out of a total 100 participants, 70 are Indians. If 60 of the total participants are vegetarian, then which of the following statements is/are correct?
1. At least 30 Indian participants are vegetarian.
2. At least 10 Indian participants are non-vegetarian.
Select the correct answer using the codes given below: [2019/20]
(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2
Show Answer
Ans: (c) Both 1 and 2
44] In an examination, A has scored 20 marks more than B. If B has scored 5% less marks than A, how much has B scored? [2019/34]
(a) 360
(b) 380
(c) 400
(d) 420
Show Answer
Ans: (b) 380
45] Seeta and Geeta go for a swim after a gap of every 2 days and every 3 days respectively. If on 1st January both of them went for a swim together, when will they go together next? [2019/35]
(a) 7th January
(b) 8th January
(c) 12th January
(d) 13th January
Show Answer
Ans: (d) 13th January
46] If x is greater than or equal to 25 and y is less than or equal to 40, then which one of the following is always correct? [2019/37]
(a) x is greater than y
(b) (y – x) is greater than 15
(c) (y -x) is less than or equal to 15
(d) (x + y) is greater than or equal to 65
Show Answer
Ans: (c) (y -x) is less than or equal to 15
47] Ena was born 4 years after her parents’ marriage. Her mother is three years younger than her father and 24 years older than Ena, who is 13 years old. At what age did Ena’s father get married? [2019/38]
(a) 22 years
(b) 23 years
(c) 24 years
(d) 25 years
Show Answer
Ans: (b) 23 years
48] Suppose you have sufficient amount of rupee currency in three denominations: Rs. 1, Rs. 10 and Rs. 50. In how many different ways can you pay a bill of Rs. 107? [2019/56]
(a) 16
(b) 17
(c) 18
(d) 19
Show Answer
Ans: (c) 18
49] How many triplets (x, y, z) satisfy the equation x + y + z = 6, where x, y and z are natural numbers? [2019/73]
(a) 4
(b) 5
(c) 9
(d) 10
Show Answer
Ans: (d) 10
50] If $ means ‘divided by’; @ means ‘multiplied by’; # means ‘minus’, then the value of 10#5@1$5 is [2019/74]
(a) 0
(b) 1
(c) 2
(d) 9
Show Answer
Ans: (d) 9
51] A number consists of three digits of which the middle one is zero and their sum is 4. If the number formed by interchanging the first and last digits is greater than the number itself by 198, then the difference between the first and last digits is [2018/34]
(a) 1
(b) 2
(c) 3
(d) 4
Show Answer
Ans: (b) 2
52] A bookseller sold ‘a’ number of Geography textbooks at the rate of Rs. x per book, ‘a + 2’ number of History textbooks at the rate of Rs. (x + 2) per book and ‘a – 2’ number of Mathematics textbooks at the rate of Rs. (x – 2) per book. What is his total sale in Rs. ? [2018/38]
(a) 3x+3a
(b) 3ax + 8
(c) 9ax
(d) .
Show Answer
Ans: (b) 3ax + 8
53] A lift has the capacity of 18 adults or 30 children. How many children can board the lift with 12 adults? [2018/68]
(a) 6
(b) 10
(c) 12
(d) 15
Show Answer
Ans: (b) 10
54] 1f x – y = 8, then which of the following must be true?
1. Both x and y must be positive for any value of x and y.
2. If x is positive, y must be negative for any value of x and y.
3. If x is negative, y must be positive for any value of x and y.
Select the correct answer using the code given below. [2018/77]
(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2 nor 3
Show Answer
Ans: (d) Neither 1 nor 2 nor 3
55] If second and fourth Saturdays and, all the Sundays are taken as only holidays for an office, what would be the minimum number of possible working days of any month of any year? [2017/11]
(a) 23
(b) 22
(c) 21
(d) 20
Show Answer
Ans: (b) 22
56] The sum of income of A and B is more than that of C and D taken together. The sum of income of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the income of B and D. Whose income is the highest? [2017/14]
(a) A
(b) B
(c) C
(d) D
Show Answer
Ans: (b) B
57] There are three pillars X, Y and Z of different heights. Three spiders A, B and C start to climb on these pillars simultaneously. In one chance, A climbs on X by 6 cm but slips down 1 cm. B climbs on Y by 7 cm but slips down 3 cm. C climbs on Z by 6.5 cm but slips down 2 cm. If each of them requires 40 chances to reach the top of the pillars, what is the height of the shortest pillar? [2017/16]
(a) 161 cm
(b) 163 cm
(c) 182 cm
(d) 210 cm
Show Answer
Ans: (b) 163 cm
58] Six boys A, B, C, D, E and F play a game of cards. Each has a pack of 10 cards. F borrows 2 cards from A and gives away 5 to C who in turn gives 3 to B while B gives 6 to D who passes on 1 to E. Then the number of cards possessed by D and E is equal to the number of cards possessed by [2017/36]
(a) A, B and C
(b) B, C and F
(c) A, B and F
(d) A, C and F
Show Answer
Ans: (b) B, C and F
59] The age of Mr. X last year was the square of a number and it would be the cube of a number next year. What is the least number of years he must wait for his age to become the cube of a number again? [2017/53]
(a) 42
(b) 38
(c) 25
(d) 16
Show Answer
Ans: (b) 38
60] A 2-digit number is reversed. The larger of the two numbers is divided by the smaller one. What is the largest possible remainder? [2017/73]
(a) 9
(b) 27
(c) 36
(d) 45
Show Answer
Ans: (d) 45
61] There are certain 2-digit numbers. The difference between the number and the one obtained on reversing it is always 27. How many such maximum 2-digit numbers are there? [2017/79]
(a) 3
(b) 4
(c) 5
(d) None of the above
Show Answer
Ans: (d) None of the above
62] Four friends A, B, C and D need to cross a bridge. A maximum of two persons can cross it at a time. It is night and they just have one lamp. Persons that cross the bridge must carry the lamp to find the way. A pair must walk together at the speed of slower person. After crossing the bridge, the person having faster speed in the pair will return with the lamp each time to accompany another person in the group. Finally, the lamp has to be returned at the original place and the person who returns the lamp has to cross the bridge again without lamp. To cross the bridge, the time taken by them is as follows: A: 1 minute, B: 2 minutes, C: 7 minutes and D: 10 minutes. What is the total minimum time required by all the friends to cross the bridge? [2016/27]
(a) 23 minutes
(b) 22 minutes
(c) 21 minutes
(d) 20 minutes
Show Answer
Ans: (a) 23 minutes
63] In aid of charity, every student in a class contributes as many rupees as the number of students in that class. With the additional contribution of Rs. 2 by one student only, the total collection is Rs. 443. Then how many students are there in the class? [2016/29]
(a) 12
(b) 21
(c) 43
(d) 45
Show Answer
Ans: (b) 21
64] An agricultural field is in the form of a rectangle having length X1 meters and breadth X2 meters (X1 and X2 are variable). If X1 + X2 = 40 meters, then the area of the agricultural field will not exceed which one of the following values? [2016/50]
(a) 400 sq m
(b) 300 sq m
(c) 200 sq m
(d) 80 sq m
Show Answer
Ans: (a) 400 sq m
65] The sum of the ages of 5 members comprising a family, 3 years ago was 80 years. The average age of the family today is the same as it was 3 years ago, because of an addition of a baby during the intervening period. How old is the baby? [2016/51]
(a) 6 months
(b) 1 year
(c) 2 years
(d) 2 years and 6 months
Show Answer
Ans: (b) 1 year
66] In a race, a competitor has to collect 6 apples which are kept in a straight line on a track and a bucket is placed at the beginning of the track which is a starting point. The condition is that the competitor can pick only one apple at a time, run back with it and drop it in the bucket. If he has to drop all the apples in the bucket, how much total distance he has to run if the bucket is 5 meters from the first apple and all other apples are placed 3 meters apart? [2016/78]
(a) 40 m
(b) 50 m
(c) 75 m
(d) 150 m
Show Answer
Ans: (d) 150 m
67] A father is nine times as old as his son and the mother is eight times as old as the son. The sum of the father’s and the mother’s age is 51 years. What is the age of the son? [2015/16]
(a) 7 years
(b) 5 years
(c) 4 years
(d) 3 years
Show Answer
Ans: (d) 3 years
68] Each of A, B, C and D has Rs.100. A pays 20 to B, who pays 10 to C, who gets 30 from D. In this context, which one of the following statements is not correct? [2015/30]
(a) C is the richest.
(b) D is the poorest.
(c) C has more than what A and D have together.
(d) B is richer than D.
Show Answer
Ans: (c) C has more than what A and D have together.
69] In a parking area, the total number of wheels of all the cars (four-wheelers) and scooters/ motorbikes (two-wheelers) is 100 more than twice the number of parked vehicles. The number of cars parked is [2015/38]
(a) 35
(b) 45
(c) 50
(d) 55
Show Answer
Ans: (c) 50
70] A person ordered 5 pairs of black socks and some pairs of brown socks. The price of a black pair was thrice that of a brown pair. While preparing the bill, the bill clerk interchanged the number of black and brown pairs by mistake which increased the bill by 100%. what was the number of pairs of brown socks in the original order? [2015/50]
(a) 10
(b) 15
(c) 20
(d) 25
Show Answer
Ans: (d) 25
71] The number of persons who read magazine X only is thrice the number of persons who read magazine Y. The number of persons who read magazine Y only is thrice the number of persons who read magazine X. Then, which of the following conclusions can be drawn? [2015/51]
1. The number of persons who read both the magazines is twice the number of persons who read only magazine X.
2. The total number of persons who read either one magazine or both the magazines is twice the number of persons who read both the magazines.
Select the correct answer using the code given below:
(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2
Show Answer
Ans: (x)
72] If ABC x DEED = ABCABC; where A, B, C, D and E are different digits, what are the values Of D and E? [2015/57]
(a) D=2, E=0
(b) D=0, E=1
(c) D=1, E=0
(d) D=1, E=2
Show Answer
Ans: (c) D=1, E=0
73] A cow costs more than 4 goats but less than 5 goats. If a goat costs between 600 and 800, which of the following is a more valid conclusion? [2015/77]
(a) A cow costs more than 2,500.
(b) A cow costs less than 3,600.
(c) A cow costs between 2,600 and 3,800.
(d) A cow costs between 2,400 and 4,000.
Show Answer
Ans: (d) A cow costs between 2,400 and 4,000.
74] In a box of marbles, there are three less white marbles than the red ones and five more white marbles than the green ones. If there are a total of 10 white marbles, how many marbles are there in the box? [2015/79]
(a) 26
(b) 28
(c) 32
(d) 36
Show Answer
Ans: (b) 28
75] A group of 630 children is seated in rows for a group photo session. Each row contains three less children than the row in front of it. Which one of the following number of rows is not possible? [2014/7]
(a) 3
(b) 4
(c) 5
(d) 6
Show Answer
Ans: (d) 6
76] A straight-line segment is 36 cm long. Points are to be marked on the line from both the end points. From each end, the first point is at a distance of 1 cm from the end, the second point is at a distance of 2 cm from the first point and the third point is at a distance of 3 cm from the second point and so on. If the points on the ends are not counted and the common points are counted as one, what is the number of points? [2014/22]
(a) 10
(b) 12
(c) 14
(d) 16
Show Answer
Ans: (b) 12
77] A and B decide to travel from place X to place Y by bus. A has Rs. 10 with him and he finds that it is 80% of the bus fare for two persons. B finds that he has Rs. 3 with him and hands it over to A. In this context, which one of the following statements is correct? [2014/48]
(a) Now the money A has is just enough to buy two tickets.
(b) A still needs Rs. 2 for buying the tickets.
(c) After buying the two tickets A will be left with 50 paise.
(d) The money A now has is still not sufficient to buy two tickets
Show Answer
Ans: (c) After buying the two tickets A will be left with 50 paise.
78] Four persons, Alok, Bhupesh, Chander and Dinesh have a total of 100 among themselves. Alok and Bhupesh between them have as much money as Chander and Dinesh between them, but Alok has more money than Bhupesh; and Chander has only half the money that Dinesh has. Alok has in fact Rs.5 more than Dinesh has. Who has the maximum amount of money? [2014/65]
(a) Alok
(b) Bhupesh
(c) Chander
(d) Dinesh
Show Answer
Ans: (a) Alok
79] For a charity show, the total tickets sold were 420. Half of these tickets were sold at the rate of Rs.5 each, one-third at the rate of Rs.3 each and the rest for Rs.2 each. What was the total amount received? [2014/77]
(a) Rs. 900
(b) Rs. 1,540
(c) Rs. 1,610
(d) Rs. 2,000
Show Answer
Ans: (c) Rs. 1,610
80] Four friends, A, B, C and D distribute some money among themselves in such a manner that A gets one less than B, C gets 5 more than D, D gets 3 more than B. Who gets the smallest amount? [2013/10]
(a) A
(b) B
(c) C
(d) D
Show Answer
Ans: (a) A
81] There are some balls of red, green and yellow colour lying on a table. There are as many red balls as there are yellow balls. There are twice as many yellow balls as there are green ones. The number of red balls [2013/31]
(a) is equal to the sum of yellow and green balls.
(b) is double the number of green balls.
(c) is equal to yellow balls minus green balls.
(d) cannot be ascertained.
Show Answer
Ans: (b) is double the number of green balls.
82] In a rare coin collection. there is one gold coin for every three non-gold coins. 10 more gold coins are added to the collection and the ratio of gold coins to non-gold coins would be 1: 2. Based on the information, the total number of coins in the collection now becomes [2013/60]
(a) 90
(b) 80
(c) 60
(d) 50
Show Answer
Ans: (a) 90
83] A gardener has 1000 plants. He wants to plant them in such a way that the number of rows and the number of columns remains the same. What is the minimum number of plants that he needs more for this purpose? [2013/61]
(a) 14
(b) 24
(c) 32
(d) 34
Show Answer
Ans: (b) 24
84] A sum of 700 has to be used to give seven cash prizes to the students of a school for their overall academic performance. If each prize is 20 less than its preceding prize, what is the least value of the prize? [2013/62]
(a) Rs 30
(b) Rs 40
(c) Rs 60
(d) Rs 80
Show Answer
Ans: (b) Rs 40
85] In a garrison, there was food for 1000 soldiers for one month. After 10 days, 1000 more soldiers joined the garrison. How long would the soldiers be able to carry on with the remaining food? [2013/64]
(a) 25 days
(b) 20 days
(c) 15 days
(d) 10 days
Show Answer
Ans: (d) 10 days
86] The tank-full petrol in Arun’s motor-cycle lasts for 10 days. If he starts using 25% more every day, how many days will the tank-full petrol last? [2013/65]
(a) 5
(b) 6
(c) 7
(d) 8
Show Answer
Ans: (d) 8
87] A contract on construction job specifies a penalty for delay in completion of the work beyond a certain date is as follows: Rs. 200 for the first day, Rs. 250 for the second day, Rs. 300 for the third day etc., the penalty for each succeeding day being 50 more than that of the preceding day. How much penalty should the contractor pay if he delays the work by 10 days? [2011/35]
(a) Rs. 4950
(b) Rs. 4250
(c) Rs. 3600
(d) Rs. 650
Show Answer
Ans: (b) Rs. 4250
88] A person has only Rs. 1 and Rs. 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs. 75, then the number of Rs. 1 and Rs. 2 coins are, respectively [2011/39]
(a) 15 and 35
(b) 35 and 15
(c) 30 and 20
(d) 25 and 25
Show Answer
Ans: (d) 25 and 25
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