# ssc cgl tier 1 :: quantitative aptitude :: qa test 90

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

1 .
$\sqrt {21 - 8{\sqrt 5}}$ = $\sqrt 5$a - b, then find the value of a + b.
- 5
- 3
- 2
5

2 .
If $a^ 3$ - $b^ 3$ = 45 and a- b= 3, then find the value of $a^ 2$ + $b^ 2$
14
13
11
17

3 .
A can do a piece of work in 16 days while B can do it in 20 days. With the help of C, they together can finish the work in 4 days. If they are paid Rs. 800 for the whole work, how much money is received by B?
Rs. 160
Rs. 200
Rs. 352
Rs. 340

4 .
The ratio of monthly incomes of A and B is 5 : 6 and their monthly expenditures in ratio of 2 : 3. If each of them saves Rs. 330 per month. Find the sum of their monthly income.
Rs. 1200
Rs. 1235
Rs. 1210
Rs. 1100

5 .
Chiku and Deepti are working on an assignment. Chiku takes 7 hrs to types 35 pages on a computer, while Deepti takes 9 hrs to type 54 pages. How much time will they take working together on two different computers to type an assignment of 88 pages.
8 hrs
8 hrs 15 min
8 hrs 16 min
7 hrs

6 .
A quadril ateral , whose vertices have co-ordinates (1, 0), (3, 4), (5, 4) and (3, 0) respectively, is
a square
a rectangle
a parallelogram
a rhombus

7 .
If the area of a trapezium is 209 sq. m and the length of its parallel sides are 13 m and 9 m respectively, then the distance between parallel sides is
17 m
21 m
19 m
23 m

8 .
The number of sides in a regular polygon is 12. The value of its each interior angle is
144°
150°
154°
160°

9 .
PAB is a secant line of a circle and PT is a tangent drawn from an exterior point to the circle. If PA = 4 cm and PT = 8 cm, then AB is
8 cm
18 cm
16 cm
12 cm