**Dear Aspirants,** **Our SSC Crackers team** is providing a new series of Quantitative Aptitude Questions for **Upcoming Exam **so the aspirants can practice it on a daily basis. These questions are framed by our skilled experts after understanding your needs thoroughly. Aspirants can practice these new series questions daily to familiarize with the exact exam pattern and make your preparation effective.

**1) **

** **

(a) √66

(b) 8

(c) √62

(d) 6

**2) If x + y = 7, then what is the value of x ^{3} + y^{3} + 21xy?**

(a) 343

(b) 49

(c) 294

(d) 288

**3) If 2a – (2/a) + 4 = 0, then what is the value of a ^{3} – (1/a^{3} )+ 14?**

(a) -14

(b) -12

(c) 0

(d) 14

**4) If α and β are the roots of the equation x ^{2} – x + 3 = 0, then what is the value of α^{4} + β^{4}?**

(a) 7

(b) 9

(c) 11

(d) 13

**5) **

(a) 6

(b) 0

(c) 1

(d) 3

**6) PQR is an isosceles triangle with such that PQ = PR = 15 cm and QR = 24 cm. PS is a perpendicular bisector of the base QR. What is the length (in cm) of PS?**

(a) 18

(b) 6

(c) 12

(d) 9

**7) ABCD is a cyclic quadrilateral and AB is the diameter of the circle. If ****∠****CAB = 48****°****, then what is the value (in degrees) of ****∠****ADC?**

(a) 52

(b) 77

(c) 138

(d) 142

**8) Two tangents are drawn from a point P to a circle at Q and R. If O is the centre of the circle and ****∠****QOP = 40****°****, then what is the value (in degrees) of ****∠****QPR?**

(a) 60

(b) 80

(c) 90

(d) 100

**9) In the given figure, OQ = QR = RT and O is the centre of the circle. What is the ****PTQ? **

(a) 30

(b) 60

(c) 45

(d) 90

**10) ABC is a triangle which is right angled at A and a perpendicular AD is drawn on the hypotenuse BC. If BC = 8 and AD = 3, then what is the value of AB × AC?**

(a) 12

(b) 24

(c) 32

(d) 36

**Answers :**

**1) Answer: B**

**2) Answers: A**

Put x = 7

y = 0 x + y = 7

7 = 7

So, put those value in given expression-

**3) Answer: C**

**4) Answer: A**

**5) Answer: C**

Put x = 1,

**6) Answer: D**

**7) Answer: C**

Given that,

**8) Answer: D**

**9) Answer: B**

Given that,

OQ = QR = RT

OQ = OP = PS = SO = OR (form equilateral triangles)

So , all angles should be 60 degree.

**10) Answer: B**

Given that,

BC = 8, AD = 3

We know that,

AB × AC = BC × AD

= 8 × 3 = 24