Staff Selection Commission CGL ExamTier-II Special Quantitative Aptitude

  

1.3 small pumps and a large pump are filling a tank. Each of the three small pumps works at 2/3 rd the rate of the large pump. If all 4 pumps work at the same time,they should fill the tank in what fraction of the time that it would have taken the large pump alone?
a) 4/7
b) 1/3
c) 2/3
d) 3/4

2.How many different ways are possible to arrange the letters of the word "MACHINE" so that the vowels may occupy only the odd positions?
a) 800
b) 125
c) 348
d) 576
e) None of these

3.Walking at a speed of 5 km/hr, a man reaches his office 6 minutes late. Walking at 6 km/hr, he reaches there 2 minutes early. Then the distance of his office is:
a) 2 km
b) 3 km
c) 4 km
d) 3.5 km
e) None of these

4.The volume of water measured on a rectangular field 500 m × 300 mis 3000 m 3. What is the depth(amount) of rain that has fallen?
a) 2 cms
b) 3 cms
c) 4 cms
d) 3.5 cms
e) None of these

5.When X is subtracted from the numbers 9, 15 and 27, the remainders are in continued proportion. What is the value of X?
a) 8
b) 6
c) 3
d) 5
e) None of these

6.The ratio of milk and water in 55 liters of adulterated milk is 7 : 4.How much water must be added to make the mixture's ratio 7 : 6?
a) 5 litres
b) 10 litres
c) 15 litres
d) 25 litres
e) None of these

7.A man after travelling 50 km meets a swami who counsels him to go slower. He then proceeds at 3/4 of his former speed and arrives at his destination 35 minutes late. Had the meeting occurred 24 km further the man would have reached his destination 25 minutes late. The speed of the man is: 
a) 48 km/h
b) 36 km/h
c) 54 km/h
d) 58 km/h
e) None of these

1. Mr. Shah's monthly income is Rs.54550. In an entire year, he spends 32% of his annual salaries on groceries, he spend 12% on repairs and 10% he pays to his servant. If half of the remaining amount he invests in fixed deposits, what is the amount invested by him in fixed deposits?
(1) Rs. 150558
(2) Rs.155240
(3) Rs. 152610
(4) Rs.158789
(5) Rs.154336

2. Two pipes A and B can fill a tank in 3 3/7h when opened simultaneously. If B alone can takes 2 h less than A alone takes to fill the tank completely. How much does A alone take to fill the tank? 

(1) 8th
(2) 12h
(3) 4h
(4) 6h
(5) 10h

3. A man can row 10.2 km downstream in 18 min. If the speed of the stream is 3.5 km/h, how much time (in h) he would take to cover 121.5 km upstream
(1) 4 (1/2)
(2) 3
(3) 4
(4) 5 (1/2)
(5) 3 (1/2)

4. The respective ratio two numbers is 16 :  If first number is increased by 30% and the second number is decreased by 20%, what will be the respective ratio of the first and the second number?
(1)32:21
(2) 26:21
(3)25:21
(4) 20:21
(5)22:21

5. A bag of fruits was distributed among 4 students P, Q, R and S. P took 3/8th of the fruits. Q took 1/5th of the remaining fruits and the remaining fruits were equally distributed among R and S. What fraction of fruits did R get?
(1) 1/4
(2) 3/8
(3) 1/8
(4) 5/16
(5) ther than those given as options

6. The present population of village P is 2.5 times the present population of village Q. If after a year the population of village Q is 16537 and has been increased at a rate of 15%. What is the present population of village P?
(1) 34740
(2) 38560
(3) 36820
(4) 35950
(5) 30350

7. Arunika brought some articles and sold half of them at Rs.22103 thereby making a profit of 15%. At what price should sell the rest of them so as to earn a total profit of 25%?
(1) Rs.25947
(2) Rs. 23528
(3) Rs.27130
(4) Rs.24682
(5) Rs.26240

8. The height of a triangle is equal to the perimeter of a square whose diagonal is 9 2 m and the base of the same triangle is equal to the side of the square whose area is 784 m2. What is the area (in m2) of the triangle?
(1) 504
(2) 558
(3) 478
(4) 522
(5) 496

9. Arunavo invested total sum of 16000 in two schemes (A) and (B) for two years. Scheme A offers compound interest (compounded annually) at the rate of 10% per annum and scheme B offers simple interest at the rate of 12% per annum. If the total interest earned by him from both the schemes after two years is 3504. How much money (principal) did he invest in scheme B?
(1) Rs.4800
(2) Rs.4200
(3) Rs.4600
(4) Rs.4400
(5) Rs.5200