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Question 41

HP Police Constable 2025• Mathematics

The area of the trapezium is \(105 \mathrm{~cm}^{2}\) and its height is 7 cm. If one of the parallel sides is longer than the other by 6 cm ,then the sum of the parallel sides is :

  1. AOption (a)

    25

  2. BOption (b)

    30

  3. COption (c)

    35

  4. DOption (d)

    40

  5. EOption (e)

    Question Not Attempted

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Correct answer

Answer: (a)A.

25

Explanation not yet available.

Question 42

HP Police Constable 2025• Mathematics

If one cubic metre of ice weighs 720 kg, then the weight of a cuboidal block of ice 50 cm in length is :

  1. AOption (a)

    75

  2. BOption (b)

    80

  3. COption (c)

    85

  4. DOption (d)

    90

  5. EOption (e)

    Question Not Attempted

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Correct answer

Answer: (a)A.

75

Explanation not yet available.

Question 43

HP Police Constable 2025• Mathematics

A shopkeeper allows a discount of 10% to its customers and still gains 20% on a product. If the cost price of the product is Rs. 450, then the marked price is 

  1. AOption (a)

    500

  2. BOption (b)

    540

  3. COption (c)

    600

  4. DOption (d)

    640

  5. EOption (e)

    Question Not Attempted

View answer & explanation

Correct answer

Answer: (a)A.

500

Explanation not yet available.

Question 44

HP Police Constable 2025• Mathematics

The mean of \(a, b, c, d\) and \(e\) is 28 . If the mean of \(a, c\) and \(e\) is 24 , then mean of \(b\) and \(d\) is:

  1. AOption (a)

    31

  2. BOption (b)

    32

  3. COption (c)

    33

  4. DOption (d)

    34

  5. EOption (e)

    Question Not Attempted

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Correct answer

Answer: (a)A.

31

Explanation not yet available.

Question 45

HP Police Constable 2025• Mathematics

In a cricket match, a batsman hits a boundary 8 times out of 42 balls he played. The probability that he did not hit a boundary is :

  1. AOption (a)

    \(\frac{4}{21}\)

  2. BOption (b)

    \(\frac{7}{21}\)

  3. COption (c)

    \(\frac{12}{21}\)

  4. DOption (d)

    \(\frac{17}{21}\)

  5. EOption (e)

    Question Not Attempted

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Correct answer

Answer: (a)A.

\(\frac{4}{21}\)

Explanation not yet available.

Question 46

HP Police Constable 2025• Mathematics

The arithmetic mean and mode of a data are 24 and 12 respectively, then its median is :

  1. AOption (a)

    18

  2. BOption (b)

    20

  3. COption (c)

    22

  4. DOption (d)

    25

  5. EOption (e)

    Question Not Attempted

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Correct answer

Answer: (a)A.

18

Explanation not yet available.

Question 47

HP Police Constable 2025• Mathematics

Mina buys a fish from a shop for her aquarium. The shopkeeper takes out one fish at random from a tank containing 5 male fish and 7 female fish. The probability that the fish taken out is a female fish is :

  1. AOption (a)

    \(\frac{2}{12}\)

  2. BOption (b)

    \(\frac{5}{12}\)

  3. COption (c)

    \(\frac{6}{12}\)

  4. DOption (d)

    \(\frac{7}{12}\)

  5. EOption (e)

    Question Not Attempted

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Correct answer

Answer: (a)A.

\(\frac{2}{12}\)

Explanation not yet available.

Question 48

HP Police Constable 2025• Mathematics

If two acute angles of a right-angled triangle are equal, then each acute angle is :

  1. AOption (a)

    \(30^{\circ}\)

  2. BOption (b)

    \(45^{\circ}\)

  3. COption (c)

    \(60^{\circ}\)

  4. DOption (d)

    \(90^{\circ}\)

  5. EOption (e)

    Question Not Attempted

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Correct answer

Answer: (a)A.

\(30^{\circ}\)

Explanation not yet available.

Question 49

HP Police Constable 2025• Mathematics

A bus travels first 100 km at a speed of \(100 \mathrm{~km} / \mathrm{h}\). It covers next 150 km at a speed of \(90 \mathrm{~km} / \mathrm{h}\). The average speed of the bus is :

  1. AOption (a)

    93.75

  2. BOption (b)

    113.25

  3. COption (c)

    115.50

  4. DOption (d)

    117.75

  5. EOption (e)

    Question Not Attempted

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Correct answer

Answer: (a)A.

93.75

Explanation not yet available.

Question 50

HP Police Constable 2025• Mathematics

The number \(0.002 \overline{73}\) in the form \(\frac{p}{q}\), where \(p\) and \(q\) are integers, and \(q \neq 0\), is :

  1. AOption (a)

    \(\frac{261}{99000}\)

  2. BOption (b)

    \(\frac{271}{99000}\)

  3. COption (c)

    \(\frac{281}{99000}\)

  4. DOption (d)

    \(\frac{291}{99000}\)

  5. EOption (e)

    Question Not Attempted

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Correct answer

Answer: (a)A.

\(\frac{261}{99000}\)

Explanation not yet available.