Quant Quiz - II

1. The sum of four consecutive even numbers is 260. What would be the smallest number?
(1) 60 
(2) 64
(3) 62 
(4) 66
(5) 70


2. The marked price of an article is Rs. 680. After two successive discounts it is sold for Rs. 408 if the first discount is 25 % then the rate of second discount is
(1) 15%
(2) 20 %
(3) 30 %
(4) 25 %
(5) None of thes

3. If 5 litres of water are evaporated on boiling from 20 litres of salt solution containing 20 percent salt. The percentage of salt in the remaining solution is
(1) 26.67
(2) 22.5 
(3) 24.33
(4) 13
(5) None of these

4. A cistern is half full of water. Pipe A can fill the remaining part in 3 minutes and pipe B in 5 minutes. Once the cistern is emptied, how much time will they take to fill it together completely?
(1) 3 minutes
(2) 3 min, 30 sec
(3) 3 min, 45 sec
(4) 4 min
(5) None of these

5. Volume of two cones are in the ratio 1 : 4 and their diameters are in the ratio 4 : 5. The ratio of their height is
(1) 1: 5
(2) 5: 4
(3) 5: 16
(4) 25 :64
(5) None of these

Directions (6-10) Study the following information carefully to answer the questions that follow :

In a school there are 4000 students who have visited five different cities viz. Agra, Jaipur, Chandigarh, Pune and Nagpur. Fifty-four per cent of the total students are boys. Twenty five percent of the total number of girls visited Pune. One fourth  of the total number of girls visited Agra. Number of girls who visited Nagpur is half the number of girls who visited Agra. Five-sixth of the remaining girls visited Jaipur. Total number of students who visited Pune is 960. One-fourth of the total number of boys visited Chandigarh. 505 boys have visited Jaipur. Two-third of the remaining number of boys have visited Agra.

6. What is the respective ratio between the number of girls who visited Agra and number of boys who visited Pune?
(1) 23 : 24 
(2) 23 : 50
(3) 23 : 25 
(4) 50 : 23
(5) None of these

7. What is the average number of boys who visited Agra, Chandigarh and Nagpur together ?
(1) 410 
(2) 385
(3) 430 
(4) 380
(5) None of these

8. What is two-third of the total number of girls who visited Nagpur and Chandigarh together ?
(1) 230 
(2) 240
(3) 270 
(4) 290
(5) None of these

9. Total number of students who visited Nagpur is approximately what per cent of number of girls who visited Jaipur?
(1) 90 
(2) 81
(3) 66 
(4) 70
(5) 76

10. What is the total number of students who visited Chandigarh ?
(1) 605 
(2) 715
(3) 555 
(4) 765
(5) None of these


ANSWERS
1. (3)
Let the numbers be x, x+2, x+4 and x+6. Now
x + (x+2) + (x+4) + (x+6) = 260
x = 62

2. (2)
Original Price = 680
Price after first discount = 0.75 * 680 = 510
Second discount = (510 - 408)/510 * 100 = 20%

3. (1)
Amount of salt in original solution = 20% of 20 = 4
Percentage of salt in new solution = 4/15 * 100 = 26.67%

4. (3)
Pipe A and B can fill half the tank in 3 minutes and 5 minutes, So they can fill the empty tank in 6 min and 10 min respectively.
Time taken by them to fill the empty tank together = (6*10)/(6+10) = 3 min 45 sec


5. (4) Ratio of heights = (V1/V2) * (r1/r2)^2 = 1/4 * 25/16 = 25 : 64

Solutions  (6-10)

6. (3)
Required ratio = 460 : 500 = 23 : 25

7. (2)
Required average = (410 + 540 + 205) / 3 = 385

8. (1)
Required number = 2/3 of (115 + 230) = 230

9. (5) Required percentage = 435/575 * 100 = 76(approx)

10. (5) From the table