Quantitative aptitude practice paper-30

If a(x + y) = b(x - y) = 2ab, then the value of 2(x² + y²) is

यदि a(x + y) = b(x - y) = 2ab हो, तो 2(x² + y²) का मान क्या होगा ?

Options:

1) 2(a² - b²)

2) 2(a² + b²)

3) 4(a² - b²)

4) 4(a² + b²)

Correct Answer: 4(a² + b²)

The cube of 105 is

105 का घन क्या है ?

Options:

1) 1157625

2) 1175625

3) 1185625

4) 1158625

Correct Answer: 1157625

If , then the value of is

Options:

1) 2

2) 1

3) 0

4) ½

Correct Answer: ½

If , then the value of is

Options:

1) 0

2) 1

3) 2

4) 3

Correct Answer: 1

If , then the value of x⁴ + y⁴ – 2x²y² is

Options:

1) 16

2) 20

3) 10

4) 5

Correct Answer: 16

If and x, y are positive integers, then the value of is

Options:

1) 1

2) 2

3) √5

4) 5

Correct Answer: 1

If x = 999, y = 1000, z = 1001, then the value of is

Options:

1) 1000

2) 9000

3) 1

4) 9

Correct Answer: 9

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

यदि a + b = 10 और ab = 21 हो, तब (a - b)² का मान ज्ञात करें ?

Options:

1) 15

2) 16

3) 17

4) 18

Correct Answer: 16

If x = 222, y = 223, z = 225 then the value of x³ + y³ + z³ - 3xyz is

यदि x = 222, y = 223, z = 225 हो, तो x³ + y³ + z³ - 3xyz का मान क्‍या है ?

Options:

1) 4590

2) 4690

3) 4950

4) 4960

Correct Answer: 4690

If , then a³ – 3ay – x is equal to

Options:

Correct Answer:

Given a - b = 2, a³- b³=26 then (a + b)² is

यदि a - b = 2, a³ - b³ = 26 हो तो (a + b)²का मान क्या होगा ?

Options:

1) 9

2) 4

3) 16

4) 12

Correct Answer: 16

If x² - xy + y² = 2 and x⁴ + x²y² + y⁴ =6, then the value of x² + xy + y² is:

यदि x² - xy + y² =2 और x⁴ + x²y² + y⁴ = 6 हो तो x² + xy + y² का मान क्‍या है ?

Options:

1) 1

2) 12

3) 3

4) 36

Correct Answer: 3

If sin θ x cos θ = ½. The value of sin θ - cos θ is where 0°< θ< 90°

यदि sin θ x cos θ = ½ हो तो sin θ - cos θ का मान क्‍या होगा जहॉ 0°< θ < 90°

Options:

1) 0

2) √2

3) 2

4) 1

Correct Answer: 0

If ¸then the value of is

Options:

1) 180

2) 198

3) 234

4) 252

Correct Answer: 198

If x = √2+1, then the value of x⁴-1/x⁴is

यदि x = √2+1 हो, तो x⁴-1/x⁴का मान कितना होगा ?

Options:

1) 8√2

2) 18√2

3) 6√2

4) 24√2

Correct Answer: 24√2

If a² = by + cz, b² = cz + ax, c² = ax + by, then the value of is

Options:

1) 1

2) a + b + c

4) 0

Correct Answer: 1

If , then the value of is

Options:

1) 12

2) 16

3) 18

4) 15

Correct Answer: 15

The simple interest on a sum for 5 years is two-fifth of the sum. The rate of interest per annum is

किसी धनराशि का 5 वर्ष का साधारण ब्याज उस राशि का 2/5 भाग है। ब्याज की वार्षिक दर ज्ञात कीजिए ?

Options:

1) 0.1

2) 0.08

3) 0.06

4) 0.04

Correct Answer: 0.08

If r sin q = 1, r cos q = then the value of r² tan q is

Options:

1) 4

4) 4√3

Correct Answer:

If a + b = 17 and a - b = 9 then the value of (4a² + 4b²) is,

यदि a + b = 17 और a - b = 9 हो, तो (4a² + 4b²) का मान बताइए ?

Options:

1) 710

2) 720

3) 730

4) 740

Correct Answer: 740