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Question 131

UP Police Constable 2026• Numerical and Mental Ability Test

Which of the following words cannot be formed from the letters of the word "ACCOMMODATION" without reusing any letter more than it appears ?

  1. AOption (a)

    DOMINANT

  2. BOption (b)

    MOTION

  3. COption (c)

    COMMAND

  4. DOption (d)

    ACTION

View answer & explanation

Correct answer

Answer: (a)A.

DOMINANT

Explanation not yet available.

Question 132

UP Police Constable 2026• Numerical and Mental Ability Test

A shopkeeper buys 20 kg of basmati rice at Rs. 50 per kg and 30 kg of sona masoori rice at Rs. 35 per kg. He mixes both types and sells the mixture at Rs. 42 per kg. Find his overall profit or loss.

  1. AOption (a)

    Rs. 50 loss

  2. BOption (b)

    Rs. 50 profit

  3. COption (c)

    Rs. 45 loss

  4. DOption (d)

    Rs. 45 profit

View answer & explanation

Correct answer

Answer: (a)A.

Rs. 50 loss

Explanation not yet available.

Question 133

UP Police Constable 2026• Numerical and Mental Ability Test

Two ropes are of different lengths. The HCF of their lengths is 2 cm and the product of their lengths is 1848 cm². Find the ratio of their LCM to HCF.

  1. AOption (a)

    462 : 1

  2. BOption (b)

    848 : 3

  3. COption (c)

    1 : 432

  4. DOption (d)

    1 : 924

View answer & explanation

Correct answer

Answer: (a)A.

462 : 1

Explanation not yet available.

Question 134

UP Police Constable 2026• Numerical and Mental Ability Test

Seven bells start tolling together. They toll at intervals of 3, 5, 7, 9, 12, 15 and 18 seconds respectively. How many times will all the bells toll together in 42 minutes ?

  1. AOption (a)

    2 times

  2. BOption (b)

    1 time

  3. COption (c)

    4 times

  4. DOption (d)

    3 times

View answer & explanation

Correct answer

Answer: (a)A.

2 times

Explanation not yet available.

Question 135

UP Police Constable 2026• Numerical and Mental Ability Test

A batsman scored 156 runs, which included 5 fours and 10 sixes. What percentage of his total score did he make by running between the wickets?

  1. AOption (a)

    50%

  2. BOption (b)

    48.72%

  3. COption (c)

    46.35%

  4. DOption (d)

    52.22%

View answer & explanation

Correct answer

Answer: (a)A.

50%

Explanation not yet available.

Question 136

UP Police Constable 2026• Numerical and Mental Ability Test

A refrigerator is marked at Rs. 9,600. A shopkeeper offers successive discounts of 12% and 25%. If he still earns a profit of 20%, find the cost price of the refrigerator.

  1. AOption (a)

    Rs. 5,295

  2. BOption (b)

    Rs. 5,280

  3. COption (c)

    Rs. 5,239

  4. DOption (d)

    Rs. 5,216

View answer & explanation

Correct answer

Answer: (a)A.

Rs. 5,295

Explanation not yet available.

Question 137

UP Police Constable 2026• Numerical and Mental Ability Test

A and B start a business investing Rs. 24,000 and Rs. 16,000 respectively. After 6 months of starting the business, C joins them with an investment of Rs. 20,000. If the total profit at the end of 2 years from the start of the business is Rs. 55,000, find B's share of the profit.

  1. AOption (a)

    Rs. 13,000

  2. BOption (b)

    Rs. 16,000

  3. COption (c)

    Rs. 12,000

  4. DOption (d)

    Rs. 15,000

View answer & explanation

Correct answer

Answer: (a)A.

Rs. 13,000

Explanation not yet available.

Question 138

UP Police Constable 2026• Numerical and Mental Ability Test

If a # b = a^2 + 9ab + 7b^2 , then find the value of 3 # 4 .

  1. AOption (a)

    230

  2. BOption (b)

    239

  3. COption (c)

    240

  4. DOption (d)

    229

View answer & explanation

Correct answer

Answer: (a)A.

230

Explanation not yet available.

Question 139

UP Police Constable 2026• Numerical and Mental Ability Test

A beats B by 500 meters in a 1000 meters race. If B beats C by 250 meters in the same race, then A beats C by how many meters in that race?

  1. AOption (a)

    625 meters

  2. BOption (b)

    750 meters

  3. COption (c)

    500 meters

  4. DOption (d)

    375 meters

View answer & explanation

Correct answer

Answer: (a)A.

625 meters

Explanation not yet available.

Question 140

UP Police Constable 2026• Numerical and Mental Ability Test

In a School, some students are Singers and some are Musicians.

a. The Square represents Musicians, and the Rectangle represents Singers.

b. The numbers in the overlapping regions indicate students who are both Singers and Musicians.

From the given diagram, How many students are only Musicians and not Singers?

  1. AOption (a)

    56

  2. BOption (b)

    61

  3. COption (c)

    74

  4. DOption (d)

    33

View answer & explanation

Correct answer

Answer: (a)A.

56

Explanation not yet available.