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Practice Quiz on Algebra to Score 45+ Marks in SSC CGL Maths

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Question 1

If a² + 16b² = 1264, and ab = 4, then the value of a + 4b – 27 is:

Question 2

If a² + b² + 1 = 2a, then what is the value of a⁴ + b⁶?

Question 3

then find the value of x(x−1)(x−3)(x−4)?

Question 4

and

then find the value of

Question 5

, find the value of

Question 6

If x + y + z = 10 and xy + yz + zx = 15, then find the value of x³ + y³ + z³ – 3xyz.

Question 7

If x + y + z = 6 and xy + yz + zx = −7 then x³+ y³+ z³− 3xyz is:

Question 8

If a =

and b =

then find the value of

Question 9

If x⁴ - 8x² – 1 = 0 then find the value of x²:

Question 10

If, x + 1/x = 10 then x³ + 1/x³ is equal to :

Question 11

Solve: 150³ + 152³ + 154³ − 3×154×152×150 = ?

Question 12

If a(a - 3) = -2, then the value of a³[a³ - 9] is:

Question 13

If x/3 - [5(7x/5 - 4/3)]/2 = - x/6, then what is the value of x?

Question 14

If 2

, then what are the two values of

Question 15

Given that,

; b = x³+27 and b/a = 7. Find x.

Question 16

If a + b = 12 and

of ab = 6, then the value of a³ + b³ is:

Question 17

If x² + 4y² = 17 and xy = 2, where x > 0, y > 0, then what is the value of x³ + 8y³?

Question 18

If b/a = 0.7, find the value of

Question 19

If 16a⁴ + 36a²b² + 81b⁴ = 91 and 4a² + 9b² – 6ab = 13, then what is the value of 3ab?

Question 20

If 20x² – 30x + 1 = 0, then what is the value of 25x² + 1/16x² ?

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SSC & Railway General

Jan 18SSC & Railway