SSC(CGL) Quant Mock Test-6(10-17 min) 20 Qn

Solution

1. A 12m deep well with diameter 3.5 m is dug up and the earth from it is spread evenly to form a platform 10.5 x 8 m . Find the height of platform.

a.1.375m  b.1.735m  c.1.357m  d.1.573m

2.A right pyramid stand on a rectangular base whose sides are 24cm and 18cm and on the shorter side slant height is 17cm . find the volume of pyramid.

a.1735.5 cm³    b. 17.533  c.1733.5   d.17.335 cm³

3.The angle of elevation of a jet plane from a point on the ground is 60^o . After a flight of 18 sec. Angle of elevation changes to 30⁰ . If the jet plane is flying at a constant height of 2 find the speed of plane in km/hr.

a.800  b. 828  c. 750  d.700

4.The unit digit in the product of 7¹⁵ x 3 ⁷¹  x  11⁵⁵ is 

a.1  b.3  c.7  d.9

5.The HCF and LCM of 2 numbers is 21 and 4641 respectively. If one of the no. Lies between 200 and 300. Then 2 no’s are

a.273,357  b.273,361  c.273,359  d.273,363

6.what is the third number in the sequence of numbers that leave remainder of 1,2,3 when divided by 2,3,4 respectively.

a.11  b.17  c.19  d.35

7.If a,b,c are in GP and a^1/x = b ^1/y = c ^1/z then the value of 2y is 

a.x-z  b.2x-z  c.x+z  d.2z-x

8.If the roots of the equation (C²-ab)x² -2(a²-bc)x+(b²-ac)=0 for a≠0 are real and equal. Then the value of a³+b³+c³ is

a.abc  b.3abc  c.0  d.NOT

9.Simplify the expression (a^1/2 + a ½) /1-a   +  (1-a^1/2 ) /1+a^1/2

a.2/(1+a)   b. 2/(1-a)   c.1/(1+a)   d. NOT

10.If the expression px⁴-3x³ + 20 and 4x² + 7x –p when divided by (x-2) leave the same remainders, then find the value of p.

a.2  b.3  c.0  d.-2

11.If 1-sin²A = 0.8/ sec A , then find the value of tan A + 1/(Cos A)

a.0  b. 0.5  c.2  d.1.5

12.In Triangle ABC  A  is an acute angle and tan A is equal to 3 times of cot A . Find the value of sin²A+ cosec²A – (1/2)cot²A

a.23/12  b. 23/9  c.23/11  d. 23/8

13.Solve for y if c+ (d-y)/y =e-1 + f/y

a.(d-f)/(e+c)   b.(d-f)/(e-c)  c.(d+f)/(e-c)   d.(d+f)/(e+c)

14.If x₁ and x₂ are the roots of the equation bx² – ax + log₂m^y = 0 such that x₁² = a²+x₂²  then find roots in terms of a and b.

a.a(a²+1)/2ab,a(1-b²)/2ab b. a(b²+1)/2b,a(1-a²)/2b c. a(b²-1)/2ab,a(1-b²)/2ab d. a(b²+1)/2ab,a(1-b²)/2ab

15.If P= (x²-36)/(x²-49) and Q = (x+6)/(x+7) value of P/Q is .

a.     X-6/x-7  b.X-6/X+7  c.X-7/X+5  d.X+6/X-7

16.If a/3 = b/5 = c/7 then value of (a + b +c)/b

a.1/5  b.1/3  c.3  d.5

17.If aX = bY = cZ and b2 = ac then Y equals

a.xz/(x+z)  b. xz/2(x-z) c. xz/2(z-x)  d. 2xz/(x+z)

18.The sum of the roots of the equation 5x² + (p + q + r)x + pqr = 0 is equal to zero. What is the value of (p³ + q³ + r³)

a.3pqr  b.0  c.2pqr  d.1

19.If 2^a + 3^b  =  17  and 2 ^a+2 – 3 ^b+1 = 5, then

a.a=2,b=3  b.a=-2,b=3  c.a=2,b=-3  d.a=3,b=2

20.If A =sin ⁴X + cos ⁴X then

a.o<A<1/2  b.1/2 <= A <=1  c.1 < A <=3/2  d. 3/2 <= A <=2