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Question 81

UP Police Head Operator 2024• Numerical & Mental Ability Test

If 20% of P = 30% of Q = 1/6 of R, then P ∶ Q: R is 

  1. AOption (a)

    2 ∶ 3 ∶ 16

  2. BOption (b)

    3 ∶ 2 ∶ 16

  3. COption (c)

    10 ∶ 15 ∶ 18

  4. DOption (d)

    15 ∶ 10 ∶ 18

View answer & explanation

Correct answer

Answer: (a)A.

2 ∶ 3 ∶ 16

Explanation not yet available.

Question 82

UP Police Head Operator 2024• Numerical & Mental Ability Test

Average marks of 5 students in a subject are 68. By how much will the average be increased, if marks of one student wrongly taken as 65 instead of 80?

  1. AOption (a)

    4

  2. BOption (b)

    1

  3. COption (c)

    3

  4. DOption (d)

    2

View answer & explanation

Correct answer

Answer: (a)A.

4

Explanation not yet available.

Question 83

UP Police Head Operator 2024• Numerical & Mental Ability Test

The area of a trapezium shaped field is 480 m2, the height is 15 m and one of the parallel side is 20 m. Find the other parallel side.

  1. AOption (a)

    44 m

  2. BOption (b)

    20 m

  3. COption (c)

    84 m

  4. DOption (d)

    150 m

View answer & explanation

Correct answer

Answer: (a)A.

44 m

Explanation not yet available.

Question 84

UP Police Head Operator 2024• Numerical & Mental Ability Test

The sum of the radius of base and height of a solid right circular cylinder is 37 cm. If the total surface area of the solid cylinder is 1628 cm2, the volume of cylinder (in cm3) is:

  1. AOption (a)

    3680

  2. BOption (b)

    4620

  3. COption (c)

    6420

  4. DOption (d)

    5640

View answer & explanation

Correct answer

Answer: (a)A.

3680

Explanation not yet available.

Question 85

UP Police Head Operator 2024• Numerical & Mental Ability Test

If \(\rm\left(\frac{3}{5}\right)^{3p-2}=\left(\frac{9}{25}\right)^8\times\left(\frac{3}{5}\right)^{-3} \), then the value of 2p + 1 is:

  1. AOption (a)

    10

  2. BOption (b)

    11

  3. COption (c)

    14

  4. DOption (d)

    15

View answer & explanation

Correct answer

Answer: (a)A.

10

Explanation not yet available.

Question 86

UP Police Head Operator 2024• Numerical & Mental Ability Test

If a positive integer leaves remainder 28 when divided by 143, then what is the remainder obtained on dividing the same number by 13?

  1. AOption (a)

    0

  2. BOption (b)

    2

  3. COption (c)

    9

  4. DOption (d)

    10

View answer & explanation

Correct answer

Answer: (a)A.

0

Explanation not yet available.

Question 87

UP Police Head Operator 2024• Numerical & Mental Ability Test

The slant height of a frustum of cone is 10 cm. If the height of the frustum is 8 cm, then find the difference of the radii of its two circular ends?

  1. AOption (a)

    7 cm

  2. BOption (b)

    9 cm

  3. COption (c)

    6 cm

  4. DOption (d)

    4 cm

View answer & explanation

Correct answer

Answer: (a)A.

7 cm

Explanation not yet available.

Question 88

UP Police Head Operator 2024• Numerical & Mental Ability Test

A is 25% more efficient than B and C is 40% less efficient than A. B alone can complete a certain work in 25 days. B and C work together for 5 days. A alone can complete the remaining work in:

  1. AOption (a)

    10 days

  2. BOption (b)

    13 days

  3. COption (c)

    7 days

  4. DOption (d)

    9 days

View answer & explanation

Correct answer

Answer: (a)A.

10 days

Explanation not yet available.

Question 89

UP Police Head Operator 2024• Numerical & Mental Ability Test

What should come in place of the question mark (?) in the following question?

2 - [6 - {3 + (-4 + 5 + 1) × 8} + 12 ] = ?

  1. AOption (a)

    4

  2. BOption (b)

    3

  3. COption (c)

    2

  4. DOption (d)

    1

View answer & explanation

Correct answer

Answer: (a)A.

4

Explanation not yet available.

Question 90

UP Police Head Operator 2024• Numerical & Mental Ability Test

A and B working separately can complete a piece of work in 10 and 16 days, respectively. If they work for a day alternately, with A beginning the work, in how many day(s) will the work be completed?

  1. AOption (a)

    \(10{{1} \over 4}\)

  2. BOption (b)

    \(12{{1} \over 4}\)

  3. COption (c)

    \(1{{1} \over 4}\)

  4. DOption (d)

    \({{1} \over 4}\)

View answer & explanation

Correct answer

Answer: (a)A.

\(10{{1} \over 4}\)

Explanation not yet available.