# SSC CGL Tier 1 :: Quantitative Aptitude QA Test 27

## Home SSC CGL Tier 1 / Quantitative Aptitude QA Test 27 Questions and Answers

1 . If (a – b) = 3, (b– c) = 5 and (c– a) = 1,
then what will be the value of $a^3+b^3+c^3-3abc\over a+b+c$ ?
10.5
15.5
17.5
20.5
2 . 'A' sells an article to 'B' at a profit of 20% and 'B' sells it to 'C' at a profit of 25%. If 'C' pays  1200, the cost price of the article originally (in  ) was –'A' sells an article to 'B' at a profit of 20% and 'B' sells it to 'C' at a profit of 25%. If 'C' pays  1200, the cost price of the article originally (in  ) was –
1000
800
700
600
3 . If the average of 39, 48, 51, 63, 75, 83, x and 69 is 60, then the value of xis –
50
51
52
53
4 . By what least number should 675 be multiplied to obtain a number which is a perfect cube ?
5
6
7
8
5 . Ram Kumar sold his motor cycle to Mohan at a loss of 28%. Mohan spent  1680 on its repairs and sold the motor cycle to Sohan for  35910, thereby, making a profit of 12.5%. Find the cost of the motor cycle for Ram Kumar.
 38000
35000
 40000
42000
6 . A man buys some quantity of wheat for ` 2400. He sells one-third of it at a profit of 5%. At what per cent gain should he should sell the remaining two-third so as to make an overall prof it of 10% on the whole transaction ?
11.5%
12.5%
13%
13.5%
7 . A tree is broken by the wind. If the top of the tree stuck the ground at an angle of 30° and at a distance of 30 m from the root, then the height of the tree was –

(A) 15$\sqrt3$
m (B) 20$\sqrt3$ m
(C) 25$\sqrt3$
m (D) 30$\sqrt3$ m
a
b
c
d
8 . If cos A + cos$^ 2$ A = 1, then sin$^ 2$ A + sin$^ 4$ A is equal to
0
-1
1
1/2
9 . If $\sqrt2^x$ x = 256, then the value of xis –
14
16
18
20
10 . One man, 3 women and 4 boys can do a piece of work in 96 hours, 2 men and 8 boys can do it in 80 hours, 2 men and 3 women can do it in 120 hours. Then 5 men and 12 boys can do complete work in –

(A) 39$1\over11$ hours
(B) 42$7\over11$ hours
(C) 43$7\over11$ hours
(D) 44 hours
a
b
c
d