Quant Quiz

Q1. A 200m long train crosses a platform of double its length in 36s. What is the speed of the train in km/h?
a. 60
b. 48
c. 64
d. 66
e. None of these

Q2. Work done by A in one day is half of the work done by B in one day. Work done by B is half of the work done by C in one day. If C alone can complete the work in 7 days, in how many days can A, B and C together complete the work?
a. 28
b. 14
c. 4
d. 21
e. None of these

Q3. In how many different ways can the letters of the word DAILY be arranged?
a. 60
b. 48
c. 160
d. 120
e. None of these

Q4. The number obtained by interchanging the digits of a two digit number is less than the original number by 63. If the sum of the digits of the number is 11, what is the original number?
a. 29
b. 92
c. 74
d. Cannot be determined
e. None of these

Q5. If the numerator of a fraction is increased by 200% and the denominator is increased by 300%, the resultant fraction is 15/26. What is the original fraction?
a. 8/11
b. 10/11
c. 9/13
d. 10/13
e. None of these

Q6. The profit earned after selling an article for Rs. 996 is the same as loss incurred after selling the article for Rs. 894. What is the cost price of the article?
a. 935
b. 905
c. 945
d. 975
e. None of the above

Q7. The ages of Nishi and Vinnee are in the ratio of 6 : 5 respectively. After 9 years the ratio of their ages will be 9 : 8 . What is the difference in their ages?
a. 9 yr
b. 7 yr
c. 5 yr
d. 3 yr
e. None of these

Q8. The simple interest accrued on an amount of Rs. 84000 at the end of 3 yr is Rs. 30240. What would be the compound interest accrued on the same amount at the same rate for the same period? 
a. Rs. 30013.95
b. Rs. 31013.95
c. Rs. 32013.95
d. Rs. 33013.95
e. Rs. 34013.95

Q9. The total of the ages of a class of 75 girls is 1050. The average age of 25 of them is 12 yr and that of another 25 is 16 yr. Find the average age of remaining girls.
a. 12 yr
b. 13 yr
c. 14 yr
d. 15 yr
e. None of these

Q10. One-fifth of a number is 81. What will 68% of that number be?
a. 195.2
b. 275.4
c. 225.6
d. 165.8
e. None of these

Q11. In a class of 40 students and 8 teachers, each students got sweets that are 20% of the total number of students and each teacher got sweets that are 25% of the total number of students. How many sweets were there?
a. 420
b. 400
c. 320
d. 360
e. None of these

Q12. What is 35% of 45% of 7/9th of 3600?
a. 441
b. 414
c. 444
d. 411
e. None of these

Q13. A committee of 3 members is to be selected out of 3 men and 2 women. What is the probability that the committee has at least one women?
a. 1/10
b. 9/20
c. 9/10
d. 1/20
e. None of these

Q14. By how much is 5/12th of 516 lesser that 4/9th of 495?
a. 22
b. 15
c. 12
d. 27
e. None of these

Q15. Ms. Winkey invests 11% of her monthly salary, i.e. Rs. 5236 in Fixed Deposits. Later, she invests 19% of her monthly salary on Life Insurance Policy; also she invests another 7% of her monthly salary in Mutual Funds. What is the total annual amount invested by Ms. Winkey?
a. Rs. 211344
b. Rs. 17612
c. 105672
d. 35224
e. None of these

Answers with Solutions:

Q1. (a) 60 km/h
Speed of the train = 200+400/36 = 600/36 = 50/3 m/s
Thus, 50/3 x 18/5 = 60 km/hr

Q2. (c) 4 days
Suppose A does work a work in x days 
B does similar work in x/2 days and C does in x/4 days 
x/4 = 7/1
x = 28
So, 1/28 + 1/14 + 1/7 = 1/4

Q3. (d) 120
There are five letters in the word DAILY 
Req number of ways = 5P5 = 5! = 120

Q4. (b) 92
Suppose the number is 10x + y
So, (10x + y) – (10y + x) = 63
x – y = 7
and x + y = 11
Solving both we get, x = 9 and y = 2
So, the req number = 92

Q5. (d) 10/13
Suppose the fraction is x/y
So, x + 2x / y + 3y = 15/26
x / y = 10 / 13

Q6. (c) Rs. 945
The cost price of the aricle = 996 + 894 / 2 = Rs. 945

Q7. (d) 3 years
Suppose the ages of Nishi and Vinnee are 6x and 5x yr.
So, 6x + 9 / 5x + 9 = 9 / 8
x = 3
Req diff = 6x – 5x = 3 years 

Q8. (e) Rs. 34013.95
Rate per annum = 30240*100/84000*3 = 12%
CI = 84000[(1 + 12/100)³ – 1] 
= Rs. 34013.95

Q9. (c) 14 years
Avg age of the remaining girls = [1050 – (25 x 12 + 25 x 16)]/25 = 14 years
Q10. (2) 275.4
Suppose the number is x
x * 1/5 = 81
x = 405
then, x * 68/100 = 405 * 68/100 = 275.4

Q11. (b) 400
Total number = 40 x 40*20/100 + 8 x 40*25/100 = 400

Q12. (a) 441
35/100 x 45/100 x 7/9 x 3600  = 441

Q13. (c) 9/10
Req Probability = 2C1 x 3C2 + 2C2 x 3C1 / 5C3 = 9/10

Q14. (e) 5
495 x 4/9 – 516 x 5/12 = 220 – 215 = 5

Q15. (a) 211344
Suppose, the monthly salary of Ms. Winkey is x rupees. 
x * 11/100 = 5236
x = 47600
Total annual amount invested by Ms. Winkey = 47600(11/100 + 19/100 + 7/100) x 12 = 211344