SSC-CGL Quant Quiz-29

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Q.1) What is the simplified value of (cosec^4 A – cot^2 A) – (cot^4 A + cosec^2 A)?

 1) 0
2) 5
3) 6
4) 9

 

Q.2) A solid cone of height 24 cm and radius of its base 8 cm is melted to form a solid cylinder of radius 6 cm and height 6 cm. In the whole process what percent of material is wasted?

 1) 48.5
2) 37.5
3) 57.8
4) 64

 

Q.3) If two successive discounts of 20% and 30% are given, then what is the net discount (in %)?

 1) 40
2) 44
3) 56
4) 60

 

Q.4)  In what ratio sugar at Rs 30/kg should be mixed with sugar at Rs 45/kg so that on selling the mixture at Rs 42/kg there is a profit of 20%?
1) 2 : 1
2) 2 : 3
3) 5 : 2
4) 3 : 7

Q.5)  Average of 11 numbers is 7. If every number is doubled, then what will be the new average of the numbers?
1) 3.5
2) 7
3) 10.5
4) 14

 

Q.6) A trader sold an article at profit of 20%. Had he bought that article at 60% less price and sold it at Rs 90 less, then he would have gained 50%. What is the value (in Rs) of cost price?
1) 150
2) 200
3) 250
4) 300

 

Q.7) Amit donated 20% of his income to a school and deposited 20% of the remainder in his bank. If he is having Rs 12800 now, then what is the income (in Rs) of Amit ?
1) 18000
2) 20000
3) 24000
4) 32000

 

Q.8)  Two trains are moving in the opposite directions at speed of 43 km/h and 51 km/h respectively. The time taken by the slower train to cross a man sitting in the faster train is 9 seconds. What is the length (in metres) of the slower train?
1) 235
2) 338. 4
3) 470
4) 940

 

Q.9)  A certain sum of money amounts to Rs 918 in 2 years and Rs 969 in 3.5 years at simple interest. What is the rate of interest (in %)?
1) 4
2) 5
3) 6
4) 8

 

Q.10)  If 4^(x+y) = 256 and (256)^(x-y) = 4, then what is the value of x and y?
1) 17/8, 15/8
2) 17/4, 15/4
3) 9/17, 15/17
4) 8/17, 8/15