Simple Equation - SSC

Simplify the following expression.

(2.19)² + 2(2.19) (3.81) + (3.81)²

• A.

  216

• B.

  12

• C.

  36

• D.

  6

• View Answer

If x - 2y = 3 and 2xy = 5, then find the value of (x + 2y)².

• A.

  29

• B.

  27

• C.

  30

• D.

  28

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If 8x² + 9x + 8 = 0, then the value of x³ + $\frac{1}{x^3}$ is:

• A.

  $\frac{999}{212}$

• B.

  $\frac{199}{212}$

• C.

  $\frac{999}{512}$

• D.

  $\frac{199}{512}$

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If X - $\frac{1}{x}$ = 11, what is the value of $\left(X^4+\frac{1}{x^4}\right)$

• A.

  14159

• B.

  14163

• C.

  15127

• D.

  15131

• View Answer

Simplify:

9 - [10 - {20 - (15 - $\overline{9-3}$)}].

• A.

  10

• B.

  8

• C.

  7

• D.

  12

• View Answer

Simplify the expression:

(36p²  + 49q²) (6p + 7q) (6p - 7q)

• A.

  1296p⁴ + 2401q⁴

• B.

  36p⁴ - 49q⁴

• C.

  1296p⁴ - 2401q⁴

• D.

  36p⁴ + 49q⁴

• View Answer

If x + y = 14, then the value of x³ + y³ + 42xy is:

• A.

  2744

• B.

  2644

• C.

  2742

• D.

  2714

• View Answer

If 8 × 3 + 27y³ + 64z³ = 72xyz, then the relation between x, y and z can be:

• A.

  2x + 3y = −4z

• B.

  2x + y + z = 0

• C.

  2x - 3y + 4z = 0

• D.

  2x + 3y = 4z

• View Answer

If x² + 4y² = 40, xy = 6$$, and x > 2y, then the value of x - 2y is:

• A.

  1

• B.

  3

• C.

  2

• D.

  4

• View Answer

The value of x² + y², when x = 1, y = 2 is ________.

• A.

  4

• B.

  5

• C.

  2

• D.

  1

• View Answer

9 ÷ [5 + 7 ÷ {9 + 9 ÷ (9 + 9 ÷ 4)}] = ?

• A.

  $\frac{48}{40}$

• B.

  $\frac{63}{40}$

• C.

  $\frac{59}{40}$

• D.

  $\frac{37}{40}$

• View Answer

If $\frac{8r}{r^2-8r+1}$ = $\frac{1}{14}$, then the value of $\left(r+\frac{1}{r}\right)$

• A.

  88

• B.

  100

• C.

  120

• D.

  60

• View Answer

If 2a + 5b = 12 and ab = 3, find the value of 4a² + 25b².

• A.

  64

• B.

  44

• C.

  84

• D.

  24

• View Answer

If a, b + c = 10 and ab + bc + ca = 30, then the value of a² + b² + c² is:

• A.

  40

• B.

  38

• C.

  30

• D.

  25

• View Answer

If x² = b - ax and x³ (x³ + c) = d, then which of the following can be the values of c and d?

• A.

  c = a³ - 3ab and d = b³

• B.

  c = -a³ - 3ab and d = b³ 

• C.

  c = a³ + 3ab and d = b³

• D.

  c = a³ + 3ab and d = -b³

• View Answer

If a + b - c = 5 and ab - be - ac = 10, then find the value of a² + b² + c² .

• A.

  40

• B.

  5

• C.

  45

• D.

  15

• View Answer

If x + y + 3 = 0 , then find the value of x³ + y³ - 9xy + 9.

• A.

  18

• B.

  36

• C.

  -36

• D.

  -18

• View Answer

If (x + 6y) = 8, and xy = 2, where x > O, what is the value of (x³ + 216y³)?

• A.

  476

• B.

  288

• C.

  224

• D.

  368

• View Answer

If a + b = 8 and a − b = 6, then find the value of ‘ab’.

• A.

  6

• B.

  8

• C.

  5

• D.

  7

• View Answer

The area of a square is 4x² - 12x + 9. Which of the following will be the side of the square?

• A.

  (3x + 2)

• B.

  (2x - 3)

• C.

  (2x + 3)

• D.

  (3x - 2)

• View Answer

Expand x² + 2x + 3 about x = -2.

• A.

  (x − 2)² − 2 (x + 2) + 3

• B.

  (x + 2)² − 2 (x + 2) + 3

• C.

  (x + 2)² + 2 (x + 2) + 3

• D.

  (x − 2)² − 2 (x − 2) − 3

• View Answer

 If a + b = 12 and ab = 35, find the value of a⁴ + b⁴ - 10³?

• A.

  1226

• B.

  2026

• C.

  2226

• D.

  2126

• View Answer

If 2a + b = 10, 2ab = 9, and 2a > b, then find the value of 2a - b.

• A.

  12

• B.

  6

• C.

  8

• D.

  10

• View Answer

The identity 4(z + 7) (2z - 1) = Az² +Bz + C holds for all real values of z. Find the value of A² - B - C.

• A.

  -16

• B.

  40

• C.

  36

• D.

  16

• View Answer

If x = 9, then the value of x⁵  − 10x⁴ + 10x³ − 10x² + 10x − 1 is:

• A.

  10

• B.

  8

• C.

  9

• D.

  1

• View Answer