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UP Police SI 2025 Numerical & Mental Ability Test - 2
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UP Police SI 2025 Numerical & Mental Ability Test - 2
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  • Question 1/10
    2 / -0.5

    Find out the wrong term in the given series:

    HW19, JU21, LS23, NQ25, PM27

    Solutions

    The correct answer is option 3 i.e. PM27.

    Given series: HW19, JU21, LS23, NQ25, PM27

    H + 2 = J, J + 2 = L, L + 2 = N, N + 2 = P

    W - 2 = U, U - 2 = S, S - 2 = Q, Q - 2 = O ≠ M 

    19 + 2 = 21, 21 + 2 = 23, 23 + 2 = 25, 25 + 2 = 27 

    Hence, the correct answer is PM27.

  • Question 2/10
    2 / -0.5

    Which of the following set of signs will make the given equation correct?

    55 _ 5 _ 4 _ 14 _ 20 = 38

    Solutions

    The correct answer is option 2 i.e. ÷, ×, +, -.

    Option 2) ÷, ×, +, -

    = (55 ÷ 5) × 4 + 14 - 20

    = (11 × 4) + 14 - 20

    = (44 + 14) - 20

    = 58 - 20

    = 38 = RHS

    Hence, the correct answer is ÷, ×, +, -.

  • Question 3/10
    2 / -0.5

    Choose the correct set of signs from the alternatives that will make the given equation correct.

    16 _ 4 _ 17 _ 2 _ 10 = 28

    Solutions

    The correct answer is Option 2 i.e. ÷, +, ×, -.

    Option 2: ÷, +, ×, -

    = 16 ÷ 4 + 17 × 2 - 10

    = 4  + 17 × 2 - 10

    = 4 + 34 - 10

    = 38 - 10

     = 28

    Hence, the correct answer is ÷, +, ×, -.

  • Question 4/10
    2 / -0.5

    It was Sunday on 12th March 2024. What is the day of the week 11th July 2024?

    Solutions

    The correct answer is option 1 i.e.Tuesday.

    12th March 2024 is Sunday.

    After 12th March to 11th July ⇒ 19 + 30 + 31 + 30 + 11 = 121 days

    Therefore, 121 ÷ 7 = 2 is the remainder

    So, Sunday + 2 days = Tuesday

    Hence, the correct answer is Tuesday.

  • Question 5/10
    2 / -0.5

    A principal of Rs. 50000 is invested at simple interest for 8 years. If the per annum rate of interest is 12 percent, then what will be the amount after 8 years?

    Solutions

    The correct answer is Option 4 i.e. Rs. 98000.

    S.I. = (P × R × T)/100

    here, S.I. = Simple Interest, P = Principal, R = Rate, and T = Time

    ⇒ S.I. = (50000 × 12 × 8)/100

    ⇒ S.I. = 500 × 12 × 8

    ⇒ S.I. = Rs. 48000

    Amount = Interest + Principal

    Amount = 48000 + 50000

    Amount = Rs.98000

  • Question 6/10
    2 / -0.5

    The ratio of the outer and the inner circumference of a circular path is 17 : 15, If the path is 40 metres wide, then what is the radius of the inner circle?

    Solutions

    The correct answer is option 4 i.e. 300 metres.

    Let the radius of outer circle and inner circle be R and r respectively.

    According to the question

    Outer circumference/Inner circumference =  2πR/ 2πr = R/r = 17/15

    The width of path = R - r = 17 - 15 = 2 units

    ⇒ 2 units =  40 m

    ⇒ 1 unit = 20 m

    ⇒ 15 units = 15 × 20 = 300 m

    Hence, the inner radius r is 300 meters

  • Question 7/10
    2 / -0.5

    15% of an alloy was silver. If in a quantity of alloy there was 51 g of silver, what was the quantity of the other elements in the alloy?

    Solutions

    The correct answer is option 4 i.e. 289 g.

    According to the question

    ⇒ 0.15 = 51 g 

    ⇒ 1 = 51/0.15 = 340 g

    Now, 0.85 = 0.85 × 340 = 289 g

    Hence, the other element of the alloy = 289 g

  • Question 8/10
    2 / -0.5

    Ramesh gives 15%  additional discount along with a discount of 25% on the marked price of a sofa set. If the selling price of the sofa set is ₹12,750, then find the marked price of the sofa set.

    Solutions

    The correct answer is option 1 i.e. ₹20,000

    Marked Price × (100 − 15)/100 × (100 − 25)/100 = 12750

    Marked Price × 17/20 × 3/4 = 12750

    Marked price = 20000

  • Question 9/10
    2 / -0.5

    6 men and 2 boys can do five times as much work as one man and one boy. Find the ratio of the working capacity of a man to that of a boy.

    Solutions

    The correct answer is Option 2 i.e. 3 : 1.

    Let the work capacity of one man be x and the work capacity of one boy be y

    ⇒ 6x + 2y = 5(x + y)

    ⇒ 6x + 2y = 5x + 5y

    ⇒ x = 3y

    ⇒ x/y = 3/1

    ⇒ x : y = 3 : 1

    The ratio of the working capacity of a man to that of a boy is 3 : 1

  • Question 10/10
    2 / -0.5

    A manufacturer sells an article to a wholesale dealer at a profit of 10%. the wholesaler dealer sells it to a shopkeeper at 20% profit. The shopkeeper sells it to a customer for Rs 56100 at a loss of 15%, then the cost price of the article to the manufacturer is?

    Solutions

    The correct answer is option 3 i.e. Rs 50000.

    Let the cost price for the manufacturer be Rs 100x.

    Selling price for the manufacturer will be 110x

    The selling price for a wholesale dealer will be: 110x × 1.2

    ⇒ 132x

    After giving a 15% discount: 

    ⇒ 132x × 0.85 = 112.2x

    ⇒ 112.2x = 56100

    ⇒ x = 500

    ⇒ Cost price for manufacturer = 100x

    ⇒ 100(500) = Rs 50,000

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