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SSC CGL 2026 Aptitude Test - 5
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SSC CGL 2026 Aptitude Test - 5
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  • Question 1/10
    2 / -0.5

    A bus travelling at 28 km/hr completes a journey in 20 hours. What should its speed be to cover the same distance in 14 hours?

    Solutions

    The correct answer is option 1 i.e. 40 km/hr.

    Distance = 28 × 20 = 560 km

    New time = 14 hr

    Speed = 560/14 = 40 km/hr

  • Question 2/10
    2 / -0.5

    The product of two positive numbers is 11045. If the first number is five times the second number, then the sum of the two numbers is:

    Solutions

    The correct answer is Option 4 i.e. 282.

    Let the second number = x

    First number = 5x

    So,

    ⇒ 5x2 = 11045

    ⇒ x2 = 2209

    ⇒ x = 47

    First number = 5 × 47 = 235

    Sum = 235 + 47 = 282

  • Question 3/10
    2 / -0.5

    The average age of 19 students is 17 years. A teacher joins the group, and the average becomes 18 years. What is the teacher's age?

    Solutions

    The correct answer is option 2 i.e. 37.

    Total age 19 students = 19 × 17 = 323

    New total age (20 persons) = 20 × 18 = 360

    Teacher's age = 360 – 323 = 37 years

  • Question 4/10
    2 / -0.5

    A hemisphere is melted and recast into a cone of the same radius R. Find the height of the cone formed.

    Solutions

    The correct answer is option 1 i.e. 2R.

    A hemisphere is melted and recast into a cone of the same radius = R cm

    Volume of hemisphere = (2/3)πR3

    Volume of cone = (1/3)πR2H

    (2/3)πR3 = (1/3)πR2H

    ⇒ (2/3)R = (1/3)H

    ⇒ H = 2R

  • Question 5/10
    2 / -0.5

    A regular right pyramid has a square base with a side length of 12 cm. Its slant height is 10 cm. What is its volume?

    Solutions

    The correct answer is option 1 i.e. 384 cm3.

    Side length of square base = 12 cm

    Height = √[102 − (12/2)2] = √[100 − 36] = √64 = 8 cm

    Volume = (1/3) × Base Area × Height

    = (1/3) × 122 × 8

    = (1/3) × 144 × 8

    = 384 cm3

  • Question 6/10
    2 / -0.5

    A 90-litre mixture contains milk and water in the ratio 7:2. If 'x' litres of milk and 'x' litres of water are added to the mixture, the new ratio of milk to water becomes 5:2. What is the value of 'x'?

    Solutions

    The correct answer is option 1 i.e. 13.33 liters.

    Milk = (7/9) × 90 = 70 litres

    Water = (2/9) × 90 = 20 litres

    After adding 'x' litres of milk and 'x' litres of water, the new ratio of milk to water = 5 : 2

    (70 + x)/(20 + x) = 5/2

    ⇒ 140 + 2x = 100 + 5x

    ⇒ 3x = 40 = 40/3 ≈ 13.33 litres

  • Question 7/10
    2 / -0.5

    A, B, and C can complete a certain task in 20, 30, and 60 days, respectively. How many days will it take for A to finish the work if he receives help from B and C every third day?

    Solutions

    The correct answer is option 1 i.e. 15 days.

    A’s rate = 1/20

    B’s rate = 1/30

    C’s rate = 1/60

    Every 3rd day B and C help A:

    Day 1: A → 1/20

    Day 2: A → 1/20

    Day 3: A + B + C → 1/20 + 1/30 + 1/60 = 1/20 + 1/20 = 1/10

    Work in 3 days = 1/20 + 1/20 + 1/10 = 1/5

    Whole work in 3 × 5 = 15 days

  • Question 8/10
    2 / -0.5

    Solutions

  • Question 9/10
    2 / -0.5

    A circle is circumscribed about a triangle. If one of the angles of the triangle is 120°, and the radius of the circumscribed circle is r, what is the length of the side opposite the 120° angle?

    Solutions

  • Question 10/10
    2 / -0.5

    Solutions

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