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Question 291

UP Police Constable 2026• Numerical and Mental Ability Test

If a:b=6:8 a : b = 6 : 8 , what is the ratio of (a3):(b3) (a^3) : (b^3) ?

  1. AOption (a)

    64 : 27

  2. BOption (b)

    27 : 64

  3. COption (c)

    36 : 64

  4. DOption (d)

    64 : 36

View answer & explanation

Correct answer

Answer: (a)A.

64 : 27

Explanation not yet available.

Question 292

UP Police Constable 2026• Numerical and Mental Ability Test

What is the sum of (0.81)2+(0.49)2−(0.1)2 (0.81)^2 + (0.49)^2 - (0.1)^2 ?

  1. AOption (a)

    0.8862

  2. BOption (b)

    0.8322

  3. COption (c)

    0.8721

  4. DOption (d)

    0.8245

View answer & explanation

Correct answer

Answer: (a)A.

0.8862

Explanation not yet available.

Question 293

UP Police Constable 2026• Numerical and Mental Ability Test

P invests ₹ 60,000 for 10 months; Q invests ₹ 45,000 for 8 months; and R invests ₹ 75,000 for 6 months in a business. Find the ratio in which the profit should be shared among P, Q, and R, respectively.

  1. AOption (a)

    20 : 12 : 15

  2. BOption (b)

    20 : 9 : 6

  3. COption (c)

    9 : 15 : 20

  4. DOption (d)

    15 : 12 : 6

View answer & explanation

Correct answer

Answer: (a)A.

20 : 12 : 15

Explanation not yet available.

Question 294

UP Police Constable 2026• Numerical and Mental Ability Test

In a certain code, the following letters represent arithmetic operations :

i.V means division (÷)
ii.D means multiplication (×)
iii.C means addition (+)
iv.K means subtraction (-)

Using this information, evaluate the expression :

100 V 5 C 28 K 29 D 3

  1. AOption (a)

    -29

  2. BOption (b)

    -33

  3. COption (c)

    -39

  4. DOption (d)

    -23

View answer & explanation

Correct answer

Answer: (a)A.

-29

Explanation not yet available.

Question 295

UP Police Constable 2026• Numerical and Mental Ability Test

In the following analogy, the second letter-cluster is formed by applying a specific letter-pattern or transformation to the first letter-cluster. Apply the same pattern to the third letter-cluster to find the missing letter-cluster.

CANDID : XZMWRW :: CAREFUL : ?

  1. AOption (a)

    XZJWUFN

  2. BOption (b)

    XZIVUFO

  3. COption (c)

    XZHVUEP

  4. DOption (d)

    XZHWVEP

View answer & explanation

Correct answer

Answer: (a)A.

XZJWUFN

Explanation not yet available.

Question 296

UP Police Constable 2026• Numerical and Mental Ability Test

A shopkeeper sells one blender for ₹ 1,000 at a gain of 25% and another for ₹ 1,200 at a loss of 20%. Find his overall profit or loss percentage.

  1. AOption (a)

    1.50% profit

  2. BOption (b)

    3.29% profit

  3. COption (c)

    2.22% loss

  4. DOption (d)

    4.35% loss

View answer & explanation

Correct answer

Answer: (a)A.

1.50% profit

Explanation not yet available.

Question 297

UP Police Constable 2026• Numerical and Mental Ability Test

What will be the remainder when 22807 is divided by 12 ?

  1. AOption (a)

    9

  2. BOption (b)

    7

  3. COption (c)

    6

  4. DOption (d)

    12

View answer & explanation

Correct answer

Answer: (a)A.

9

Explanation not yet available.

Question 298

UP Police Constable 2026• Numerical and Mental Ability Test

Bhavana is known for being twice as efficient as Bhuvan. When Bhavana takes on a task alone, she can complete it in 25 days. How many days will it take if both Bhavana and Bhuvan work together, combining their efforts to finish the task?

  1. AOption (a)

    1756 17 \frac{5}{6} days

  2. BOption (b)

    21735 2 \frac{17}{35} days

  3. COption (c)

    1532 15 \frac{3}{2} days

  4. DOption (d)

    1623 16 \frac{2}{3} days

View answer & explanation

Correct answer

Answer: (a)A.

1756 17 \frac{5}{6} days

Explanation not yet available.

Question 299

UP Police Constable 2026• Numerical and Mental Ability Test

Select the diagram that best represents the relationship among Electronics, Mobile Phones and Laptops.

  1. AOption (a)

  2. BOption (b)

  3. COption (c)

  4. DOption (d)

View answer & explanation

Correct answer

Answer: (a)A.
Explanation not yet available.

Question 300

UP Police Constable 2026• Numerical and Mental Ability Test

In the diagram, the Rhombus represents people who like Chemistry, the Rectangle represents those who like Physics, the Triangle represents those who like Social Studies, and the Square represents those who like Mathematics.

Which letter represents those who like only Physics, and not any other subject?

  1. AOption (a)

    D

  2. BOption (b)

    A

  3. COption (c)

    B

  4. DOption (d)

    C

View answer & explanation

Correct answer

Answer: (a)A.

D

Explanation not yet available.