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Question 631

UP Police Constable 2026• Numerical and Mental Ability Test

Which of the following words cannot be formed from the letters of the word ‘REDRAPTOR’ ?

  1. AOption (a)

    ROAR

  2. BOption (b)

    TANDER

  3. COption (c)

    PORTER

  4. DOption (d)

    REDTAP

View answer & explanation

Correct answer

Answer: (a)A.

ROAR

Explanation not yet available.

Question 632

UP Police Constable 2026• Numerical and Mental Ability Test

Simplify the following expression :

\( \left(\frac{5}{3} - \frac{51}{9}\right)^2 - \left(\frac{14}{3} - \frac{51}{9}\right)^2 \)

  1. AOption (a)

    15

  2. BOption (b)

    19

  3. COption (c)

    18

  4. DOption (d)

    12

View answer & explanation

Correct answer

Answer: (a)A.

15

Explanation not yet available.

Question 633

UP Police Constable 2026• Numerical and Mental Ability Test

Find the missing term in the given series :

1A, 3D, 6H, 10M, ____, 21Z.

  1. AOption (a)

    16R

  2. BOption (b)

    14T

  3. COption (c)

    12U

  4. DOption (d)

    15S

View answer & explanation

Correct answer

Answer: (a)A.

16R

Explanation not yet available.

Question 634

UP Police Constable 2026• Numerical and Mental Ability Test

99 cubic centimetres of silver is drawn into a wire 1 millimetre in diameter. Find the length of the wire in metres. (Use \( \pi = \frac{22}{7} \))

  1. AOption (a)

    146 metres

  2. BOption (b)

    136 metres

  3. COption (c)

    126 metres

  4. DOption (d)

    156 metres

View answer & explanation

Correct answer

Answer: (a)A.

146 metres

Explanation not yet available.

Question 635

UP Police Constable 2026• Numerical and Mental Ability Test

A train that is 400 m long is moving at a speed of 45 km/h. How much time will it take to cross a bridge that is 160 m long ?

  1. AOption (a)

    44·8 seconds

  2. BOption (b)

    45·8 seconds

  3. COption (c)

    46 seconds

  4. DOption (d)

    43·2 seconds

View answer & explanation

Correct answer

Answer: (a)A.

44·8 seconds

Explanation not yet available.

Question 636

UP Police Constable 2026• Numerical and Mental Ability Test

A starts a business with ₹ 4,000. After 4 months of starting the business, B joins as his partner. At the end of the first year, the profit is divided between A and B in the ratio of 3 : 5, respectively. Find B's contribution to the capital.

  1. AOption (a)

    ₹ 12,000

  2. BOption (b)

    ₹ 11,000

  3. COption (c)

    ₹ 13,000

  4. DOption (d)

    ₹ 10,000

View answer & explanation

Correct answer

Answer: (a)A.

₹ 12,000

Explanation not yet available.

Question 637

UP Police Constable 2026• Numerical and Mental Ability Test

Evaluate :

\( \frac{2}{3} + \frac{4}{6} + \frac{6}{9} + \frac{8}{12} \)

  1. AOption (a)

    \(\frac{7}{3}\)

  2. BOption (b)

    \(\frac{3}{8}\)

  3. COption (c)

    \(\frac{8}{3}\)

  4. DOption (d)

    \(\frac{5}{3}\)

View answer & explanation

Correct answer

Answer: (a)A.

\(\frac{7}{3}\)

Explanation not yet available.

Question 638

UP Police Constable 2026• Numerical and Mental Ability Test

Observe the given diagram and answer the question.

In the diagram :

i. Square shows people who eat Apples.

ii. Ellipse shows people who eat Bananas.

iii. Triangle shows people who eat Cherries.

Which letter in the diagram shows only the people who eat Apples and not Bananas or Cherries ?

  1. AOption (a)

    b

  2. BOption (b)

    g

  3. COption (c)

    a

  4. DOption (d)

    c

View answer & explanation

Correct answer

Answer: (a)A.

b

Explanation not yet available.

Question 639

UP Police Constable 2026• Numerical and Mental Ability Test

In an election between two candidates, Candidate A received 60% of the valid votes. If 15% of the total votes were declared invalid and the total number of votes cast was 8000, how many valid votes did Candidate B receive ?

  1. AOption (a)

    3200

  2. BOption (b)

    2650

  3. COption (c)

    2720

  4. DOption (d)

    3170

View answer & explanation

Correct answer

Answer: (a)A.

3200

Explanation not yet available.

Question 640

UP Police Constable 2026• Numerical and Mental Ability Test

If \( p = q^2 + 4 \) and \( q = 2 \), what is the value of \( p^3 \) ?

  1. AOption (a)

    448

  2. BOption (b)

    512

  3. COption (c)

    343

  4. DOption (d)

    504

View answer & explanation

Correct answer

Answer: (a)A.

448

Explanation not yet available.