# ssc cgl tier 1 :: quantitative aptitude :: qa test 74

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

1 .
The cost price of an article A is Rs.160 and selling price of another article B is Rs.288. If the selling price of A will be equal to the cost price of B, then the profit after selling an article A is 20%. What is the profit percentage on article B?
16.66%
50%
25%
22.5%

2 .
A book consists of 30 pages, 25 lines on each page and 40 characters on each line. If this content is written in another note book consisting of 30 lines and 50 characters per line, then the required number of pages will be how much less than the previous pages?
14
20
10
18

3 .
The three medians AD, BE and CF of $\Delta$ABC intersect at G. If the area of $\Delta$ABC is 72sq. cm, then fi nd the area of the quadrilateral BDGF.
18 sq. cm
24 sq. cm
32 sq. cm
36 sq.cm

4 .
A can do a piece of work in 10 days, B in 12 days and C in 15 days. They all start the work together but A leaves after 2 days and B leaves 3 days bef ore the work get completed, then in how many days the work got completed?
9 days
7 days
6 days
8 days

5 .
Two circles of radius 4 cm and 6 cm touch each other internally. Find the longest chord of the bigger circle which is outside the smaller circle
8$\sqrt 2$cm
4$\sqrt 2$cm
6$\sqrt 2$cm
3$\sqrt 2$cm

6 .
Find the value of 3 + $1 \over \sqrt 3$ + $1 \over \sqrt 3 + 3$ + $1 \over \sqrt 3 - 3$ ?
$3 \over 2 (3 - \sqrt 3)$
3
$3 \over 2 (3 + \sqrt 3)$
2$\sqrt 3$

7 .
If 1 < x< 2, then the value of $\sqrt {x - 1}^2$ + $\sqrt {x - 3}^2$ is
2x+ 4
3
2
2x- 4

8 .
The value of sin 720° - cot 270° - sin 150° cos 120° is equal to
$3 \over 4$
$2 \over 3$
$2 \over 5$
$1 \over 4$

9 .
The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 100 metres towards the foot of the tower to point B, the angle of elevation increases to 60°. The height of the tower is:
$\sqrt 3$ m
5$\sqrt 3$ m
50$\sqrt 3$ m
20$\sqrt 3$ m