SSC-CGL Quant Quiz-30

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1472

Q.1) If the expression px^3 – qx^2 – 7x – 6 is completely divisible by x^2 – x – 6, then what is the value of p and q respectively?

1) 0, 1

2) 1, 0

3) 2, 1

4) 1, 2

Q.2)  If the expression px^3 – 2x^2 – qx + 18 is completely divisible by (x^2 – 9), then what is the ratio between p and q respectively?

1) 1:9

2) 1:3

3) 3:1

4) 9:1

Q.3)  If (X + 1/X) = 5 then what is the value of X^5 + 1/X^5
1) 1875
2) 2525
3) 2530
4) 3120

Q.4) In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 50°, then what is the value (in degrees) of ∠PBC?
1) 30
2) 45
3) 50
4) 60

Q.5) In triangle PQR, the sides PQ and PR are produced to A and B respectively. The bisectors of ∠AQR and ∠BRQ intersect at point O. If ∠QOR = 50°, then what is the value (in degrees) of ∠QPR?
1) 50
2) 60
3) 80
4) 100

Q.6) In the given figure, ABCD is a rhombus and ∠BCE is  an isosceles triangle, with BC = CE,∠ CBE = 84° and  ∠ADC = 78°, then what is the value (in degrees) of  ∠DEC?


1) 20
2) 28

3) 33
4) 36

Q.7) In the given figure, triangle ABC is drawn such that  AB is tangent to a circle at A whose radius is 10 cm  and BC passes through centre of the circle. Point C  lies on the circle. If BC = 36 cm and AB = 24cm ,then  what is the area (in cm2) of triangle ABC?

1) 134.5

2) 148

3) 166.15

4) 180

 

Q.8) Find the value of (2/(tan(A/2) + cot (A/2)))
1) sin A
2) cos A/2
3) cos2 A
4) 2 sin A/2

Q.9) What is the value of  1/(sec A + tan A)^2
1) sec A + tan A
2) sin A cos A
3) (1 – sin A)/(1 + sin A)
4) (1 – cos A)/(1 + cos A)

Q.10) What is the simplified value of (cosec^4 A – cot^2 A) – (cot^4 A + cosec^2 A)?
1) 0
2) 5
3) 6
4) 9