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SSC GD 2026 Aptitude Test - 10
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SSC GD 2026 Aptitude Test - 10
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  • Question 1/10
    2 / -0.5

    If the numerical value of the lateral surface area and the volume of the cube is equal. Find the total surface area (in cm2) of the cube.

    Solutions

    The correct answer is option 3 i.e. 96 cm2

    Understanding

    The lateral surface area of the cube = 4(side)2

    The total surface area of the cube = 6(side)2

    The volume of the cube = (side)3
    Application

    A/Q, 

    The numerical value of the lateral surface area and the volume of the cube is equal:

    So,

    4(side)2 = (side)3

    ⇒ Side = 4 cm

    The total surface area = 6(4)2 = 96  cm2
  • Question 2/10
    2 / -0.5

    The speed of a car is 40 km/h and it takes 5 hours to complete a certain distance. If the speed of the car reduces by 15 km/h and it has to cover the same distance. Find percentage change in time (in terms of hour).

    Solutions

    The correct answer is Option 2 i.e. 60%.

    Given,

    Speed of a car = 40 km/h

    Time = 5 hour

    New speed after reduces 15 km/h = (40 – 15) = 25 km/h

    Calculate distance = time × speed = (5 × 40) = 200 km 

    Calculate new time to cover 200 km = distance/speed = 200/25 = 8 hour

    Calculate the increase in time = (New time – Initial time) = (8 – 5) = 3 hour 

    ∴ Percentage increase in time = (Increase in time/initial time) × 100 = (3/5) × 100 = 60%

  • Question 3/10
    2 / -0.5

    A number when divided by 48, leaves the remainder 5, and the quotient found out is 3 times the remainder. Find the remainder when this number is divided by 25.

    Solutions

    The correct answer is Option 4 i.e. 0.

    We know that,

    Dividend = divisor × quotient + remainder

    Given, that the quotient is 3 times remainder

    ⇒ Q = 3 × 5 = 15

    Number = 48 × 15 + 5 = 725

    Remainder = 725/25 = 0

  • Question 4/10
    2 / -0.5

    Yamini and Priya started a business. Yamini invested Rs. 25,000, and Priya invested Rs. 20,000. Priya left the business after 8 months, and Nisha joined the business with Rs. 40,000 after 9 months. In what ratio is the profit divided at the end of the year among Yamini, Priya, and Nisha?

    Solutions

    The correct answer is option 4 i.e. 15 : 8 : 6.

    Effective investment of Yamini = 25000 × 12 = 3,00,000

    Effective investment of Priya = 20000 × 8 = 1,60,000

    Effective investment of Nisha= 40000 × 3 = 1,20,000

    The ratio will be: 300 : 160 : 120 = 15 : 8 : 6

  • Question 5/10
    2 / -0.5

    If vessel A and vessel B has equal volume of alcohol and water in the ratio of 1 : 2 and 3 : 1. If both vessels are mixed together in vessel C then find the ratio of alcohol and water.

    Solutions

    The correct answer is option 3 i.e. 13 : 11

    Given:

    Vessel A and vessel B has equal volume of alcohol and water in the ratio of 1 : 2 and 3 : 1

    Calculations:

    Vessel A ⇒ Alcohol : Water = 1 : 2 ------ (1)

    Vessel B ⇒ Alcohol : Water = 3 : 1 ------ (2)

    We know both vessel have equal volume, so multiply equation (1) with 4 and equation (2) with 3

    Vessel A ⇒ Alcohol : Water = 4 : 8

    Vessel B ⇒ Alcohol : Water = 9 : 3

    Now, the new mixture in vessel C has

    Alcohol : water = (4 + 9) : (8 + 3)

    Vessel C ⇒ Alcohol : Water = 13 : 11

  • Question 6/10
    2 / -0.5

    When a person weighing 39 kg is replaced by a new person, the average weight of 24 persons increases by 0.7 kg. Find the weight of the new person.

    Solutions

    The correct answer is Option 2 i.e. 55.8 kg.

    Increase in average weight = 0.7 kg

    Total increase in the weight = 24 × 0.7 = 16.8 kg

    It means the weight of the new person is 16.8 more than the weight of the person who weighs 39 kg.

    Weight of the new person = (39 + 16.8) kg = 55.8 kg

  • Question 7/10
    2 / -0.5

    If the cost price of 16 chocolates is equal to the selling price of 24 chocolates. Find the gain or loss percentage.

    Solutions

    The correct answer is option 3 i.e 33.33%.

    Let the C.P be 'x' and S.P. be 'y'

    According to the question;

    ⇒16 × x = 24 × y

    ⇒ y/x = 16/24

    ⇒ x/y = 2/3 = 2/3

    Thus we can say that there is loss

    The loss percentage = [1 - 2/3] × 100 = 33.33%

  • Question 8/10
    2 / -0.5

    What will be the difference between a single discount of 20% on Rs. 2000 and 2 successive discounts of 10% and 10%?

    Solutions

    The correct answer is Option 1 i.e. Rs. 20.

    Single discount of two successive discounts of 10% and 10% = 10 + 10 - (10 × 10)/100 = 19%

    The difference between the two discounts% = (20% - 19%) = 1%

    ⇒ 1% of 2000 = 2000 × (1/100) = Rs. 20

  • Question 9/10
    2 / -0.5

    Find the fourth proportion of the numbers 10 : 5 :: 4 : x.

    Solutions

  • Question 10/10
    2 / -0.5

    The digits of a three-digit number are in A.P. When the number is reversed, the number increases by 396. When it is divided by 50 it gives a remainder of 7. What is the sum of digits?

    Solutions

    The correct answer is Option 2 i.e. 15.

    Let the digits (a – d), a, (a + d) respectively

    Value of the original number = (100 × (a – d) + 10a + (a + d)) = 111a – 99d

    Value of number when reversed = (100 × (a + d) + 10a + (a – d)) = 111a + 99d

    Reversed number – Original number = 396

    ⇒ 198d = 396

    ⇒ d = 2

    When divided by 50, it leaves 7 as the remainder. Last digit = 7

    ⇒ a + d = 7

    ⇒ a + 2 = 7

    ⇒ a = 5

    ∴ The number is 357

    Sum of digits = (3 + 5 + 7) = 15

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