SSC-CGL Quant Quiz-35

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Q.1) If [4(2x/5 – 3/2)]/3 + 7/5 = 37/5, then what is the value of x?
1) -15
2) 7/5
3) 15
4) -7/5

Q.2) If a – b = 4 and ab = -3, then what is the value of a^3 – b^3?
1) 21
2) 28
3) 23
4) -20

Q.3) Sum of twice a fraction and 3 times its reciprocal is 29/3. What is the fraction?
1) 2/9
2) 5/4
3) 4/5
4) 9/2

Q.4) The 7th and 12th term of an arithmetic progression are -15 and 5 respectively. What is the 16th term?
1) 25
2) 29
3) 21
4) 33

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

Q.6) The distance between the points (2, 7) and (k, -5) is 13. What is the value of k?
1) -7
2) 7
3) 6
4) -6

Q.7) What is the equation of the line perpendicular to the line 5x + 3y = 6 and having Y-intercept -3?
1) 3x – 5y = 15
2) 3x + 5y = 15
3) 3x – 5y = -15
4) 3x + 5y = -15

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 cm sq, what is the area (in sq cm) of quadrilateral BDEC?
1) 98
2) 94
3) 90
4) 86

Q.9) What is the value of Sin 30° – √2 Cos 30°?
1) (1 – √6 )/√2
2) (1 – √6)/2
3) (3 – √6)/2
4) (3 – √6)/√ 2

Q.10) Δ XYZ is right angled at Y. If m ∠Z = 60°. What is the length (in cm) of YZ, if ZX = 9√3 cm?
1) 3√3
2) 3√3/ 2
3) 9√3/2
4) √3