# SSC CGL Tier 1 :: Quantitative Aptitude QA Test 66

## Home SSC CGL Tier 1 / Quantitative Aptitude QA Test 66 Questions and Answers

1 .
A pipe of diameter d can drain a certain water tank in 40 minutes. The time taken by a pipe of diameter 2d for doing the same job in
5 minutes
10 minutes
20 minutes
80 minutes
2 .
Two train of equal length are running on parallel lines in the same direction at 46 km/h and 36 km/h. The faster train passes, the slower train in 36 seconds. The length of each train is:
82 m
50 m
80 m
72 m
3 .
Two boats A and B start towards each other from two places, 108 km apart. Speeds of the boats A and B in still water are 12 km/hr and 15 km/hr respectively. If A proceeds down and B up the stream, they will meet after:
4.5 hours
4 hours
5.4 hours
6 hours
4 .
If $x ^{x\sqrt x}$ = $(x\sqrt x)^x$. then x equal to
$4 \over 9$
$2 \over 3$
$9\over 4$
$3\over 2$
5 .
If a$\neq$ b, then which of the following statements is true?
$a + b \over 2$ = $\sqrt {ab}$
$a + b \over 2$ < $\sqrt {ab}$
$a + b \over 2$ > $\sqrt {ab}$
All of the above
6 .
If a*b= 2a + 3b - ab, then the value of (3*5+ 5*3) is:
10
6
4
2
7 .
If x = 2 - $2^{1\over 3}$ + $2^{2\over 3}$ then the value of $x^3$ - 6$x^2$ + 18x = 18 is
22
33
40
45
8 .
If p+q = 10 and pq=5 then the numerical value of $p\over q$ + $q\over p$ will be:
16
20
22
18
9 .
If x and y are positive real numbers and xy=8, then the minimum value of 2x+y is:
9
17
10
8
10 .
If tan 2$\theta$ tan 4$\theta$ =1, then the value of tan 3$\theta$ is:
$\sqrt 3$
0
1
$1 \over \sqrt 3$