# SSC CGL/CPO Quiz Quantitative Aptitude

Q1.The side of a square is 8 cm. If a square is made by joining the mid points of each sides of this square and this process goes up to infinity. Calculate the sum of areas of all the squares made.

A. 64 cm2
B. 32 cm2
C. 128 cm2
D. 256 cm2
Q.2  The least value of n, such that (1 + 3 + 32 + ... + 3n) exceeds 2000, is-
A. 3
B.    5
C.  7
D. 8
Q3. A man borrows some money at 3% simple interest per annum and lends it to somebody at 5% interest to be compounded annually. By this he makes a profit of Rs.541 at the end of 3 years. The money he borrowed was-
A. Rs. 8000
B. Rs. 12000
C.  Rs. 15800
D. Rs. 18400
Q4. A copper wire is bent in the form of an equilateral triangle and has area  . If the same wire is bent into the form of a circle, the area (in cm2) enclosed by the wire is (Take pi= 22 /7)
A. 388.5 cm2
B.   346.5cm2
C.  322.5 cm2
D.286.5 cm2

Q5. Base of the right prism is an equilateral triangle. If its height reduced to one -fourth and each side of the base is tripled , then the ratio of the volumes of the old prism to the new prism is-
A. 7 : 9
B. 5 : 7
C.  4 : 9
D. 9 : 4

Q6. Two successive discounts of 10% and 20% are equivalent to a single discount of:
(a) 30%

(b) 15%

(c) 25%

(d) 28%

Q7. Two trains are running with 30 and 58 kilometers per hour respectively in the same direction. A man in the slower train passes the faster train in 18 seconds. The length of the faster train is:
(a) 150 m

(b) 70 m

(c) 100 m

(d) 140 m

Q8. If the perimeter of a semi-circle is 36 cm, then its area is: (use π = 22/7)

(a) 154 sq. cm

(b) 206 sq. cm

(c) 77 sq. cm

(d) None of these

Q9. When a number is divided by 121, the remainder is 25. If the same number is divided by 11, the remainder would be:

(a) 25

(b) 6

(c) 4

(d) 3

Q10. The line passing through (–3, 4) and (0, 3) is perpendicular to the line passing through (5, 7) and (4, x). What is the value of x?
(a) 4

(b) –2

(c) 2

(d) –4

Solution :

Q.1- (C)

Q2. (D)
a = 1, r = 3
4000 = 3 - 1
3= 4001
According to question
n = 8

Q3. (A)Let the money borrowed by x Rs.

Q4. (B)

Q5. (C)

Q6. (a)

Q7. (d)

Q8. (c)

Q9. (d)

Q10. (a)