Q.1 If the ratio of two numbers is 3:4 and their sum is 84, what is the smaller number?
36
42
48
32
Explanation - Let the numbers be 3x and 4x. Then, 3x + 4x = 84 => 7x = 84 => x = 12. Smaller number = 3x = 36.
Correct answer is: 36
Q.2 A train covers 360 km in 4 hours. What is its average speed?
80 km/h
90 km/h
100 km/h
110 km/h
Explanation - Speed = Distance / Time = 360 / 4 = 90 km/h.
Correct answer is: 90 km/h
Q.3 If 15% of a number is 45, what is the number?
250
300
350
400
Explanation - Let the number be x. 15% of x = 45 => 0.15x = 45 => x = 45 / 0.15 = 300.
Correct answer is: 300
Q.4 The sum of first 20 natural numbers is:
200
210
220
230
Explanation - Sum of first n natural numbers = n(n+1)/2 => 20*21/2 = 210.
Correct answer is: 210
Q.5 A man borrows Rs. 5000 at 10% per annum simple interest. What is the interest after 3 years?
1500
1600
1700
1800
Explanation - Simple Interest = P*R*T/100 = 5000*10*3/100 = 1500.
Correct answer is: 1500
Q.6 If a number is increased by 25%, the new number is 250. Find the original number.
180
190
200
210
Explanation - Let the original number be x. x + 25% of x = 250 => 1.25x = 250 => x = 200.
Correct answer is: 200
Q.7 The LCM of 12 and 18 is:
36
54
72
48
Explanation - Prime factorization: 12 = 2^2*3, 18 = 2*3^2. LCM = 2^2*3^2 = 36.
Correct answer is: 36
Q.8 A bag contains 5 red, 4 green, and 3 blue balls. One ball is drawn at random. Probability it is green?
1/4
1/3
1/2
2/3
Explanation - Total balls = 5+4+3=12. Probability of green = 4/12 = 1/3.
Correct answer is: 1/3
Q.9 If 4 workers can complete a task in 6 days, how many days will 6 workers take (working at the same rate)?
3
4
5
6
Explanation - Work ∝ Number of workers * Days. Total work = 4*6=24. Days with 6 workers = 24/6=4.
Correct answer is: 4
Q.10 A shopkeeper sells an article at Rs. 1200 with 20% profit. Cost price is:
1000
1100
1150
1200
Explanation - Selling Price = Cost Price*(1 + Profit%) => 1200 = CP*1.2 => CP = 1000.
Correct answer is: 1000
Q.11 The compound interest on Rs. 1000 at 10% per annum for 2 years is:
100
110
120
121
Explanation - CI = P[(1 + R/100)^T - 1] = 1000[(1.1)^2 - 1] = 1000*(1.21 - 1)=110.
Correct answer is: 110
Q.12 If the ratio of ages of A and B is 3:5 and the sum of their ages is 40, what is B's age?
15
20
25
30
Explanation - Let ages be 3x and 5x. 3x+5x=40 => 8x=40 => x=5. B=5x=25.
Correct answer is: 25
Q.13 A number is decreased by 20% to get 160. Find the original number.
180
190
200
210
Explanation - Let number = x. x - 20% of x = 160 => 0.8x=160 => x=200.
Correct answer is: 200
Q.14 If 3/4 of a number is 45, the number is:
50
55
60
65
Explanation - Let number = x. 3/4*x=45 => x=45*4/3=60.
Correct answer is: 60
Q.15 What is 15% of 360?
50
54
56
60
Explanation - 15% of 360 = 0.15*360 = 54.
Correct answer is: 54
Q.16 If a car travels 120 km in 3 hours, then time to travel 200 km at same speed is:
4.5 hours
5 hours
5.5 hours
6 hours
Explanation - Speed = 120/3=40 km/h. Time = 200/40=5 hours.
Correct answer is: 5 hours
Q.17 If 2x + 3 = 11, then x = ?
2
3
4
5
Explanation - 2x + 3 = 11 => 2x = 8 => x = 4.
Correct answer is: 4
Q.18 The simple interest on Rs. 1200 for 2 years at 5% per annum is:
120
100
110
115
Explanation - SI = P*R*T/100 = 1200*5*2/100 = 120.
Correct answer is: 120
Q.19 The average of 5, 10, 15, 20, 25 is:
15
16
17
18
Explanation - Average = (5+10+15+20+25)/5 = 75/5 = 15.
Correct answer is: 15
Q.20 The difference between the largest and smallest of the first 50 natural numbers is:
48
49
50
51
Explanation - Largest = 50, Smallest = 1, Difference = 50-1=49.
Correct answer is: 49
Q.21 If 5 pens cost Rs. 75, the cost of 8 pens is:
100
110
120
125
Explanation - Cost of 1 pen = 75/5 = 15. Cost of 8 pens = 15*8=120.
Correct answer is: 120
Q.22 A man buys an article for Rs. 400 and sells for Rs. 480. Profit % is:
15%
18%
20%
25%
Explanation - Profit % = (Profit/CP)*100 = (480-400)/400*100 = 20%.
Correct answer is: 20%
Q.23 If a number is multiplied by 6 and then decreased by 12, the result is 30. The number is:
6
7
8
9
Explanation - 6x - 12 = 30 => 6x = 42 => x = 7.
Correct answer is: 7
Q.24 A can do a work in 12 days, B in 16 days. They work together for 4 days. What fraction of work is done?
1/2
5/8
2/3
3/4
Explanation - Work done per day: A=1/12, B=1/16. Together/day = 1/12+1/16=7/48. Work in 4 days = 4*7/48=28/48=7/12.
Correct answer is: 5/8