Quantitative aptitude practice paper-30

  1. 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)

 

  1. The cube of 105 is

105 का घन क्या है ?

Options:

1) 1157625

2) 1175625

3) 1185625

4) 1158625

Correct Answer: 1157625

 

  1. If , then the value of is

Options:

1) 2

2) 1

3) 0

4) ½

Correct Answer: ½

 

  1. If , then the value of is

Options:

1) 0

2) 1

3) 2

4) 3

Correct Answer: 1

 

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

Options:

1) 16

2) 20

3) 10

4) 5

Correct Answer: 16

 

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

Options:

1) 1

2) 2

3) √5

4) 5

Correct Answer: 1

 

  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

 

  1. 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

 

  1. 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

 

  1. If , then a3 – 3ay – x is equal to

Options:

1)

2)

3)

4)

Correct Answer:

 

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

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

Options:

1) 9

2) 4

3) 16

4) 12

Correct Answer: 16

 

  1. 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

 

  1. 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

 

  1. If ¸then the value of is

Options:

1) 180

2) 198

3) 234

4) 252

Correct Answer: 198

 

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

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

Options:

1) 8√2

2) 18√2

3) 6√2

4) 24√2

Correct Answer: 24√2

 

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

Options:

1) 1

2) a + b + c

3)

4) 0

Correct Answer: 1

 

  1. If , then the value of is

Options:

1) 12

2) 16

3) 18

4) 15

Correct Answer: 15

 

  1. 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

 

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

Options:

1) 4

2)

3)

4) 4√3

Correct Answer:

 

  1. 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