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Question 91

UP Police Head Operator 2024• Numerical & Mental Ability Test

If the numerator of a fraction is increased by 25% and the denominator is doubled, the fraction thus obtained is equal to 5/17. What is the original fraction?

  1. AOption (a)

    5/23

  2. BOption (b)

    13/17

  3. COption (c)

    8/17

  4. DOption (d)

    8/21

View answer & explanation

Correct answer

Answer: (a)A.

5/23

Explanation not yet available.

Question 92

UP Police Head Operator 2024• Numerical & Mental Ability Test

The area of an equilateral triangle is 25\(\sqrt{3}\) cm2,then the ratio of inradius and circumradius is -

  1. AOption (a)

    √3 : 1

  2. BOption (b)

    2 : 1

  3. COption (c)

    1 : 2

  4. DOption (d)

    1 : √3

View answer & explanation

Correct answer

Answer: (a)A.

√3 : 1

Explanation not yet available.

Question 93

UP Police Head Operator 2024• Numerical & Mental Ability Test

What is the length of longest rod that can be kept in a rectangular box of dimensions 12 cm × 6 cm × 4 cm? is

  1. AOption (a)

    8\(\sqrt{14}\) cm

  2. BOption (b)

    14 cm

  3. COption (c)

    7\(\sqrt{26}\) cm

  4. DOption (d)

    16 cm

View answer & explanation

Correct answer

Answer: (a)A.

8\(\sqrt{14}\) cm

Explanation not yet available.

Question 94

UP Police Head Operator 2024• Numerical & Mental Ability Test

If an article is sold at 9/10th of its usual selling price, 20% profit would be made on it. Find the profit percentage which would have been made on it on selling it at its usual selling price.

  1. AOption (a)

    33.33%

  2. BOption (b)

    25%

  3. COption (c)

    30%

  4. DOption (d)

    20%

View answer & explanation

Correct answer

Answer: (a)A.

33.33%

Explanation not yet available.

Question 95

UP Police Head Operator 2024• Numerical & Mental Ability Test

The side of a square is 48 cm. The length and breadth of a rectangle are \(1 \frac{1}{2} \) and \( \frac{2}{3}\) times of the side of the square respectively. The difference in their perimeters (in cm) is

  1. AOption (a)

    10

  2. BOption (b)

    12

  3. COption (c)

    14

  4. DOption (d)

    16

View answer & explanation

Correct answer

Answer: (a)A.

10

Explanation not yet available.

Question 96

UP Police Head Operator 2024• Numerical & Mental Ability Test

Rajesh on tour travels first 160km at 64 km/hr and the next 160km at 80km/hr. The average speed for the first 320 km of the tour is:

  1. AOption (a)

    71.11

  2. BOption (b)

    73

  3. COption (c)

    93.33

  4. DOption (d)

    75

View answer & explanation

Correct answer

Answer: (a)A.

71.11

Explanation not yet available.

Question 97

UP Police Head Operator 2024• Numerical & Mental Ability Test

From the pie chart, If the budget of the family is Rs 10800, what is the saving ? 

  1. AOption (a)

    Rs. 1200

  2. BOption (b)

    Rs. 950

  3. COption (c)

    Rs. 1000

  4. DOption (d)

    Rs. 1050

View answer & explanation

Correct answer

Answer: (a)A.

Rs. 1200

Explanation not yet available.

Question 98

UP Police Head Operator 2024• Numerical & Mental Ability Test

Two numbers are in the ratio 4 : 7. If their HCF is 26, then the sum of these two numbers will be:

  1. AOption (a)

    333

  2. BOption (b)

    364

  3. COption (c)

    286

  4. DOption (d)

    312

View answer & explanation

Correct answer

Answer: (a)A.

333

Explanation not yet available.

Question 99

UP Police Head Operator 2024• Numerical & Mental Ability Test

Eight cubes of side 2 cm each are joined to form a new cube, then the length of the so formed new cube is-

  1. AOption (a)

    8 cm

  2. BOption (b)

    2 cm

  3. COption (c)

    4 cm

  4. DOption (d)

    6 cm

View answer & explanation

Correct answer

Answer: (a)A.

8 cm

Explanation not yet available.

Question 100

UP Police Head Operator 2024• Numerical & Mental Ability Test

The ratio of monthly incomes of A and B is 6 ∶ 7, and the ratio of their expenditure is 4 ∶ 5. If A and B save Rs. 8000 and Rs. 8500 per month respectively, then what is the ratio of B's income to A's expenditure?

  1. AOption (a)

    7 ∶ 4

  2. BOption (b)

    14 ∶ 9

  3. COption (c)

    7 ∶ 5

  4. DOption (d)

    21 ∶ 10

View answer & explanation

Correct answer

Answer: (a)A.

7 ∶ 4

Explanation not yet available.