# SSC CGL Tier 1 :: Quantitative Aptitude :: QA Test 8

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

1 .The average weight of a class of 15 boys and 10 girls is 38.4 kg. If the average weight of the boys is 40 kg, then what is the average weight of the girls?
36.5 kg
35 kg
36 kg
34.6 kg

2 .A railway ticket for a child costs half the full fare but the reservation charge is the same on half tickets as much as on full ticket. One reserved first class ticket for a journey between two stations is Rs.362, one full and one half reserved first class tickets cost Rs.554. What is the reservation charge?
Rs.18
Rs.22
Rs.38
Rs.46

3 .If $3\over x+y$ + $2\over x-y$ = 2 and $9\over x+y$ + $4\over x-y$= 1 then what is the Value of $x\over y$

a. $3\over 2$ ,
b.5,
c.$2\over 3$
d.$1\over 5$
a
b
c
d

4 .If cos A = tan B, cos B = tan C and cos C = tan A then $sin^2$ A is equal to

a.$\sqrt{2}-1\over4$ ,
b.$\sqrt{2}-1\over2$ ,
c.$\sqrt{3}-1\over4$ ,
d.$3-\sqrt{5}\over2$
a
b
c
d

5 .If sin x+ cos x= c then $sin^6$ x+ $cos^6$ x is equal to

a. $1+6c^2-3c^4\over16$
b.$1+6c^2-3c^4\over4$
c.$1+6c^2+3c^4\over16$
d.$1+6c^2+3c^4\over4$
a
b
c
d

6 .The angle of elevation of a cloud from a point 200 m above a lake is 30Â° and the angle of depression of its reflection in the lake is 60Â°. The height of the cloud is
200 m
300 m
400 m
600 m

7 .
10Â°
20Â°
30Â°
15Â°

8 .If Ais the area of a right angled triangle and bis one of the sides containing the right angle, then what is the length of the altitude on the hypotenuse?

a.$2Ab\over\sqrt{b^4+4A^2}$
b.$2A^2b\over\sqrt{b^2+4A^2}$
c.$2Ab^2\over\sqrt{b^2+4A^2}$
d.$2A^2b^2\over\sqrt{b^2+A^2}$
a
b
c
d

9 .A parallelogram and a rectangle stand on the same base and on the same side of the base with the same height. If $I_1$, $I_2$ be the perimeters of the parallelogram and the rectangle respectively, then which one of the following is correct?
a.$I_1$<$I_2$,
b.$I_1$=$I_2$,
c.$I_1$>$I_2$,
d.$I_1$=$2I_2$
a
b
c
d

10 .From the top of a cliff 200 m high, the angles of depression of the top and bottom of a tower are observed to be 30Âº and 45Âº, respectively. What is the height of the tower?

a.400 m
b.400 $\sqrt{3m}$
c.400 / $\sqrt{3m}$
d.None of These
a
b
c
d