# ssc cgl tier 1 :: quantitative aptitude :: qa test 28

## Home ssc cgl tier 1 / quantitative aptitude Questions and Answers

1 .If $a^4$ + $b^4$ = $a^2$ $b^2$ , then ($a^6$ +$b^6$ ) will be equals to â€“
(A) 0
(B) 1
(C) $a^2$+ $b^2$
D) $a^2$ $b^4$ + $a^4$ $b^2$
a
b
c
d

2 .A, B and C can complete a work separately in 24, 36 and 48 days respectively. They started together but C left after 2 days of start and A left 3 days before the completion of work. In how many days will the work be completed ?
20 days
18 days
16 days
12 days

3 .A number, when divided by 221, leaves a remainder 64. What is the remainder if the same number is divided by 13 ?
0
1
11
12

4 .Two trains 105 metres and 90 metres long, run at the speeds of 45 km/hr and 72 km/hr respectively, in opposite directions. The time which they take to cross each other, is â€“
8 seconds
6 seconds
7 seconds
5 seconds

5 .Two trains, each of length 125 metre, are running in parallel tracks in opposite directions. One train is running at a speed 65 km/hour and they cross each other in 6 seconds. The speed of the other train is â€“
75 km/hour
85 km/hour
95 km/hour
105 km/hour

6 .Two candle of the same height are lighted at the same time. The first is consumed in 3 hours and the second in 1 hour. Assuming that each candidate burnished a constant rate. In how many hours after being lighted, the ratio between the first and second candle becomes 2 : 1?
48 minutes
1 hour 36 minutes
36 minutes
60 minutes

7 .If the selling price of 4 articles is equal to the cost price of 5 articles, then the profit percent will be â€“
20%
22$1\over2$%
25%
30%

8 .A motor-boat goes 2 km up-stream in a stream flowing at 3 km per hr and returns downst ream to the st art i ng point i n 30 minutes. Find the speed of the motorboat in still water.
9.5 kmph
8.5 kmph
9 kmph
8 kmph

9 .If the circumcentre of a triangle lies outside it, then the triangle is â€“
Equilateral
Acute angled
Right angled
Obtuse angled

10 .Each edge of a regular tetrahedron is 3 cm, then its volume is â€“
A.9$\sqrt2\over4$ $cm^3$
B.27$\sqrt3$ $cm^3$
C.4$\sqrt2\over9$ $cm^3$
D.9$\sqrt3$ $cm^3$
a
b
c
d