SSC CGL Quant Quiz-32

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Q.1) If [7(5x/3 – 3/2)]/2 + 3/2 = 1/4, then what is the value of x?
1) 35/24
2) 24/35
3) -24/35
4) -35/24

Q.2) If a^3 + b^3 = 19 and ab = -6 , then what is the value of a + b?
1) 5
2) 7
3) 1
4) -5

Q.3) Sum of four times a fraction and 6 times its reciprocal is 11. What is the fraction?

1) 3/4

2) 4/3

3) 4/7

4) 7/4

Q.4) What is the sum of the first 12 terms of an arithmetic progression if the 3rd term is -13 and the 6th term is -4?
1) 67
2) 45
3) -30
4) -48

Q.5) What is the reflection of the point (5, 2) in the line x = -3?
1) (-11 ,2 )
2) (-11 ,-2)
3) (11 ,-2)
4) (11 ,2)

Q.6) What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(4, 0) and C(-2, 2)?
1) (1 , -1)
2) (-1 , 1)
3) (2 , -2)
4) (-2 , 2)

Q.7) Slope of the line AB is -4/3. Co-ordinates of points A and B are (x, -5) and (-5, 3) respectively. What is the value of x?
1) -1
2) 2
3) -2
4) 1

Q.8) D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔADE is 8 sq cm, what is the ratio of area of ΔADE: area of quadrilateral BDEC?
1) (4:45)
2) (45:4)
3) (8:45)
4) (45:8)

Q.9) What is the value of √2 Sec 45° – Tan 30°?
1) (2√3 – 1)/3
2) (√3 – 1)/√3
3) (2√3 – 1)/√3
4) (√3 – 1)/3

Q.10) ΔABC is right angled at B. If m ∠A = 60°, then what is the value of 1/(√3)* Cosec C)?
1) 2/√3
2) 2/3
3) √2/ √3
4) √2/3