Quant Quiz

1.  696 ÷ 58 * 15 + 468 = (?)³  - 164

(1) 512
(2) 6
(3) 64
(4) 9
(5) None of these


2. (9 * 9)­³ ÷ (243 ÷ 27)⁴ * (243 * 9)³  = (9 * 27)^{? + 1} 
(1) 3
(2) 2
(3) 6
(4) 4
(5) None of these

3. (√180 + 11) + (√5 - 3)² = (?)²
(1) 5
(2) 8 
(3) 25
(4) 10
(5) 4

4. 7(1/2) + 4(1/3) – 6(1/4) = ? + 5(1/6)
(1) 5/6
(2) 7/6
(3) 5/12
(4) 7/12
(5) None of these

5.  19% of 2570 = 35% of 628 + ?
(1) 271.5
(2) 268.5
(3) 273.5
(4) 266.5
(5) None of these

6. Mr. Sanjay invested a certain amount in Debt and Equity funds in the ratio 6 : 7. At the end of one year, he earned a total dividend of 40% on his investment. After one year he reinvested the amount including the dividend in the ratio of 3 : 2 in Debt and Equity fund. If the amount invested in Equity Funds in second year was Rs. 36400, what was the original amount invested in Equity Funds?
(1) Rs. 35000
(2) Rs. 30000
(3) Rs. 91000 
(4) Rs. 65000
(5) None of these

7. The product of twice a number and 25% of another number is what per cent of the product of the original numbers?
(1) 80%       
(2) 50%         
(3) 75%         
(4) 30%         
(5) None of these

8. Raman and Chaman together can complete an assignment of data entry in fifteen days. Chaman’s speed is 85% of Raman’s speed and the total key depressions in the assignment are 6,66,000.  What is Raman’s speed in key depressions per hour if they work for 5 hours a day?
(1) 4800        
(2) 2400
(3) 3600
(4) 4080
(5) None of these

9. A shopkeeper labelled the price of his articles so as to earn a profit of 50% on the cost price. He then sold the articles by offering a discount of 30% on the labelled price. What is the actual per cent profit earned in the deal?
(1) 80%          
(2) 10%          
(3) 20%          
(4) 15%          
(5) None of these

10. Arpan’s salary increases every year  by 20% in June. If there is no other increase or reduction in the salary and his salary in June 2012 was Rs 25,920, what was his salary in June 2010?
(1) Rs 22,250 
(2) Rs 18,000 
(3) Rs 20000  
(4) Rs 16,500  
(5) None of these

Directions (11-13) : Study the given information carefully and answer the questions that follow
A basket contains 6 black, 4 yellow and 3 white marbles.
11. If three marbles are picked at random, what is the probability that either all are white or all are black?
(1) 21/143         
(2) 10/243       
(3) 21/286         
(4) 31/286         
(5) None of these

12.  If two marbles are drawn at random, what is the probability that both are black?
(1) 5/26         
(2) 15/26       
(3) 5/13         
(4) 21/26          
(5) None of these

13. If three marbles are picked at random, what is the probability that at least one is yellow?
(1) 42/143 
(2) 84/143
(3) 21/143  
(4) 35/143 
(5) None of these



ANSWERS

1. (5)

2. (4)

3. (1)

4. (3)

5. (2)

6. (1)
Amount invested in equity fund in second year = 36400
Total amount invested in second year = 5/2 of 36400 = 91000
Let the Initial amount was x. Then
1.4x = 91000
x = 65000
Original amount invested in equity fund = 7/13 of 65000 = 35000

7. (2)
Let the numbers be x and y.
Original product = xy
New Product = 2x (25% of y) = xy/2
Since it is half of the original product the answer is 50%.

8. (1)
Total number of key depressions by them in 1 hour = 666000/ (15 * 5) = 8880
Let the number of key depressions of Raman in 1 hour be x. Then
x + 85% of x = 8880
x = 4800

9. (5)
Profit % = 50 - 30 + {50 * (-30)}/ 100 = 5%

10. (2)
Arpan’s salary in 2010 = 25920 * 100/120 * 100/120 = 18000

Solutions (61-63)

11. (3)
Required probability = (3C3 + 6C3)/ 13C3 = 21/286

12. (1)
Required probability = 6C2/13C2 =  5/26

13. (5)
Required probability = 1 – Probability that none is yellow
= 1 - 9C3/13C3 = 101/143