# ssc cgl tier 1 :: quantitative aptitude :: qa test 4

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

1 .An obtuse angle made by a side of a parallelogram PQRS with other pair of parallel sides is 150Â°. If the perpendicular distance between these parallel sides (PQand SR) is 20 cm, what is the length of the side RQ?
40 cm
50 cm
60 cm
70 cm

2 .ABCDis a square. The diagonals ACand BDmeet at O. Let K, Lbe the points on ABsuch that AO = AKand BO = BL. If q= ÃLOK, then what is the value of tanq?
a.$1/\sqrt{3}$ , b.$\sqrt{3}$ , c.1 , d.$1\over2$
a
b
c
d

3 .42 men take 25 days to dig a pond. If the pond would have to be dug in 14 days, then what is the number of men to be employed?
67
75
81
84

4 .There are two taps Aand Bto fill up a water tank. The tank can be filled in 40 min, if both taps are on. The same tank can be filled in 60 min, if tap Aalone is on. How much time will tap Balone take, to fill up the same tank?
64 min
80 min
96 min
120 min

5 .A train started from a station with a certain number of passengers. At the first halt, $1\over3$ of its passengers got down and 120 passengers got in. At the second halt, half of the passengers got down and 100 persons got in. Then, the train left for its destination with 240 passengers. How many passengers were there in the train when it started ?
540
480
360
240

6 . If the HCF of $x^3$ +$mx^2$- x+2m and $x^2$ + mx-2 is a linearpolynomial, then what is the value of m?
1
2
3
4

7 .A person has four iron bars whose lengths are 24 m, 36 m, 48 m and 72 m respectively. This person wants to cut pieces of same length from each of four bars. What is the least number of total pieces if he is to cut without any wastage?
10
15
20
25

8 .
33Â°, 44Â° and 55Â°
36Â°, 48Â° and 60Â°
39Â°, 52Â° and 65Â°
42Â°, 56Â° and 70Â°

9 .
85Â°
50Â°
45Â°
90Â°

10 .What is the value of 1.$\overline34$ + 4.$\overline12$ + ?

a.$133\over90$, b. $137\over90$ , c. 5$219\over990$ , d.5$461\over990$
a
b
c
d