Simplification

Quantitative Aptitude

Page 1 of 4 • 32 total questions

Quantitative Aptitude • Simplification

1 markView Details

If x = (√5 + 1)/(√5 - 1) and y = (√5 - 1)/(√5 + 1), find x² + y²

A

6

B

7

C

8

D

9

Quantitative Aptitude • Simplification

1 markView Details

Find the value of: (1 - 1/2)(1 - 1/3)(1 - 1/4)...(1 - 1/n) where n > 1

A

1/n

B

(n-1)/n

C

1/(n-1)

D

2/n

Quantitative Aptitude • Simplification

1 markView Details

If a + 1/a = √3, find a⁶ + 1/a⁶

A

-2

B

0

C

2

D

4

Quantitative Aptitude • Simplification

1 markView Details

If a + b + c = 0, find the value of (a² + b² + c²)/(a² - bc)

A

1

B

2

C

3

D

4

Quantitative Aptitude • Simplification

1 markView Details

If a² + b² + c² = 2(a - b - c) - 3, find the value of 2a - 3b + 4c

A

1

B

2

C

3

D

4

Quantitative Aptitude • Simplification

1 markView Details

Simplify: √(5 + 2√6) + √(8 - 2√15)

A

√2 + √5

B

√3 + √5

C

√2 + √3 + √5

D

√2 + √3

Quantitative Aptitude • Simplification

1 markView Details

Simplify: √(10 + √24 + √40 + √60)

A

√2 + √3 + √5

B

√2 + √3

C

√3 + √5

D

√2 + √5

Quantitative Aptitude • Simplification

1 markView Details

Simplify: (a-b)³ + (b-c)³ + (c-a)³ divided by (a-b)(b-c)(c-a)

A

1

B

2

C

3

D

6

Quantitative Aptitude • Simplification

1 markView Details

Simplify: log₄ 9 × log₉ 25 × log₅ 8

A

2

B

3

C

4

D

6

Quantitative Aptitude • Simplification

1 markView Details

If x = 3^(1/3) + 3^(-1/3), find the value of 3x³ - 9x

A

6

B

8

C

10

D

12

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