Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Algebra

Multiple Choice Questions

141.

If a + b + c = 0, then the value of a³ + b³ + c³ is

abc
2abc
3abc
3abc

53 Views

142.

If $1 over straight p space plus space 1 over straight q space equals space fraction numerator 1 over denominator straight p plus straight q end fraction comma$ then the value of p³ - q³

p - q
pq
1
1

52 Views

143.
If x = 93, y = 93, z = 94, then the value of x² - y² + 10xz + 10yz is

104784

147840

174840

174840

174840

x = 93, y = 93, z = 94
x² - y² + 10xz + 10yz = (x - y) (x + y) + 10xz + 10yz
= (x - y) (x + y) + 10z (x + y)
= (x + y) (x - y + 10z]
=(93 + 93) [93 - 93 + 10 x 94]
= 186 x [0 + 940]
= 174840

71 Views

144.

The value of $left parenthesis straight x to the power of 1 third end exponent space plus space straight x to the power of negative 1 third end exponent right parenthesis space left parenthesis straight x to the power of 2 over 3 end exponent minus 1 space plus space straight x to the power of negative 2 over 3 end exponent right parenthesis$ is

$straight x to the power of negative 1 end exponent plus space straight x to the power of 2 over 3 end exponent$
$straight x space plus space straight x to the power of negative 1 third end exponent$
$straight x to the power of 1 third end exponent space plus space straight x to the power of negative 1 end exponent$
$straight x to the power of 1 third end exponent space plus space straight x to the power of negative 1 end exponent$

67 Views

145.

If x, y and z are real numbers such that (x - 3)² + (y - 4)² + (z - 5)² = 0, then (x + y + z) is equal to

52 Views

146.

If $2 straight x space plus space fraction numerator 1 over denominator 3 straight x end fraction space equals space 5 comma$ then the value of $fraction numerator 5 straight x over denominator 6 straight x squared plus 20 straight x plus 1 end fraction$ is

56 Views

147.

If a + b = 10 and ab = 21, then the value of (a - b)² is

62 Views

148.

If (x - 4) (x² + 4x + 16) = x³ - p, then p is equal to

47 Views

149.

If (x - 5)² + (y - 2)² + (z - 9)² = 0, then value of (x + y - z) is

16
-1
-2
-2

59 Views

150.

If $straight x plus space 1 over straight x space equals space 3 comma$ then $straight x to the power of 8 space plus space 1 over straight x to the power of 8$ is equal to