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SSC Selection Post-XIV 2026 (HS) Aptitude Test - 3
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SSC Selection Post-XIV 2026 (HS) Aptitude Test - 3
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  • Question 1/10
    2 / -0.5

    Two identical solid hemispheres, each with a radius of 15 cm, are melted and recast into a single sphere. What is the radius of the new sphere formed?

    Solutions

    Correct Answer is: 15 cm

  • Question 2/10
    2 / -0.5

    A, B and C started a business investing ₹1,340, ₹1,100 and ₹2,440, respectively. If B's share in the profit earned by them is ₹814, what is the difference in the profit (in ₹) earned by A and C?

    Solutions

    Correct Answer is: ₹814

    Given:

    Investments of A = ₹1,340, B = ₹1,100, and C = ₹2,440.

    B's profit share = ₹814.

    Solution:

    Ratio of their investments = 1340 : 1100 : 2440.

    Divide by 20 to simplify the ratio:

    A : B : C = 67 : 55 : 122.

    The ratio of their profit shares will be the same as their investment ratio.

    Let the profit shares be 67x, 55x, and 122x.

    B's profit = 55x = 814.

    Difference in profit between A and C = 122x - 67x = 55x.

    Since we need the value of 55x and we already know 55x = 814, the difference is ₹814.

    Final Answer: So the correct answer is (d)

  • Question 3/10
    2 / -0.5

    A man goes to Indore from Bhopal at a speed of 9 km/hr and returns to Bhopal at speed of 18 km/hr, through the same route. What is his average speed (in km/hr) of the entire journey?

    Solutions

    Correct Answer is: 12

  • Question 4/10
    2 / -0.5

    Solutions

    Correct Answer is: 1/7

  • Question 5/10
    2 / -0.5

    A can do a work in 12 days and B can do the same work in 25 days. If they work on it together for 6 days, then what fraction of the work is left?

    Solutions

    Correct Answer is: 13/50

  • Question 6/10
    2 / -0.5

    A ladder of length 50 m is leaning against a vertical wall and makes an angle θ with the ground such that sin θ = 48/50. Find the horizontal distance of the foot of the ladder from the wall.

    Solutions

    Correct Answer is: 14 m

  • Question 7/10
    2 / -0.5

    Find the simple interest (in ₹) on ₹4,000 at 7.5% per annum rate of interest deposited on 4 February 2024 and withdrawn on 5 April 2024.

    Solutions

    Correct Answer is: 50

    Given

    Principal (P) = ₹4,000

    Rate (R) = 7.5% per annum

    Deposited on = 4 February 2024

    Withdrawn on = 5 April 2024

    Solution

    The year 2024 is a leap year, so February has 29 days.

    Number of days in February = 29 - 4 = 25 days

    Number of days in March = 31 days

    Number of days in April = 5 days

    Total time (T) = 25 + 31 + 5 = 61 days

    Final Answer: So the correct answer is (a)

  • Question 8/10
    2 / -0.5

    Solutions

    Correct Answer is: 7

  • Question 9/10
    2 / -0.5

    Pipe A can fill a tank in 16 hours, pipe B can fill the same tank in 21 hours and pipe C can fill the same tank in 15 hours. The time taken by them to fill the same tank if they operate together is:​

    Solutions

  • Question 10/10
    2 / -0.5

    A number, when increased by 70%, gives 3400. The number is:

    Solutions

    Correct Answer is: 2000

    Given

    A number increased by 70% gives 3400.

    Solution

    Let the number be x.

    x + 70% of x = 3400

    x + 0.70x = 3400

    1.70x = 3400

    Final Answer: So the correct answer is (c)

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