SSC-CGL Quant-Quiz-22

Q.1) If x + (1/x) = 2, then what is the value of x^64 + x^121?

1. 0
2. 1
3.  2
4. – 2

Q.2) If X = 6 + 2√6, then find the value of:

√(X-1) + 1/√(X-1)

1.  2√3
2. 3√2
3.  2√2
4. 3√3

Q.3) If a + b + c = 27, then what is the value of (a – 7)^3 + (b – 9)^3 + (c – 11)^3 – 3(a – 7)(b – 9)(c – 11)?

1. 0
2. 9
3. 27
4. 81

Q.4) If X = 2√15/( √3+√5), then find the value of (X+√5)/(X-√5) + (X+√3)/(X-√3)

1. √5
2. √3
3.  √15
4. 2

Q.5) The perimeter of an isosceles triangle is 32 cm and each of the equal sides is 5/6 times of the base. What is the area (in cm2) of the triangle ?

1. 39
2.  48
3.  57
4. 64

Q.6) If length of each side of a rhombus PQRS is 8 cm and ∠PQR = 120°, then what is the length (in cm) of QS?

1. 4√5
2. 6
3. 8
4.  12

Q.7)  In ▲ABC, bisector of ∠ B and external bisector of ∠C meet at D. If ∠BDC = 48° then what is the value of ∠A:

1. 48°
2. 96°
3. 100°
4. 114°

Q.8) What is the simplified value of Sin2A/(1+Cos2A):

1. Tan A
2. Cot A
3. Sin A
4. Cos A

Q.9) What is the simplified value of{ (secA)/(Cot A + tan A)}^2?

1. 1-cos^2A
2. 2sin^2A
3. Sec^2A
4. Cosec^2A

Q.10)  What is the simplified value of 1 + tan A tan (A/2)?

1. sin A/2
2.  cos A
3.  sec A
4.  sin A