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SSC CGL 2026 Aptitude Test - 7
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SSC CGL 2026 Aptitude Test - 7
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  • Question 1/10
    2 / -0.5

    What is the LCM of 9, 8.1, 0.27, 0.09?

    Solutions

    The correct answer is option 2 i.e. 81.

    9 = 9/1

    8.1 = 81/10

    0.27 = 27/100

    0.09 = 9/100

    LCM of a fraction = (LCM of numerators)/(HCF of denominators)

    LCM of 9, 81, 27, 9 = 81

    HCF of 1, 10, 100, 100 = 1

    LCM of 9, 8.1, 0.27, 0.09 = 81/1 = 81

    Therefore, the LCM is 81.

  • Question 2/10
    2 / -0.5

    Two hemispheres of radii 6 cm and 8 cm are melted and recast into a single hemisphere. What is the approximate radius of the new hemisphere formed?

    Solutions

    The correct answer is option 1 i.e. 9 cm.

    Volume of a hemisphere = (2/3)πr3

    Total volume = (2/3)π(63 + 83) = (2/3)π(216 + 512) = (2/3)π × 728

    Let the radius of the new hemisphere = R cm

    (2/3)πR3 = (2/3)π × 728

    ⇒ R3 = 728

    ⇒ R ≈ 9 cm

  • Question 3/10
    2 / -0.5

    In ΔABC, a line segment DE is drawn through the centroid G, parallel to side BC. D lies on AB, and E lies on AC. What is the ratio of the area of the smaller ΔADE to the area of the trapezoid DECB?

    Solutions

    The correct answer is option 3 i.e. 4:5.

    DE ∥ BC through centroid G.

    AD/AB = 2/3

    ⇒ Area(ΔADE) : Area(ΔABC) = (2/3)2 = 4/9

    Area of trapezoid DECB = 1 − 4/9 = 5/9

    Area(ΔADE) : Trapezoid DECB = (4/9) : (5/9) = 4 : 5

  • Question 4/10
    2 / -0.5

    Find the value of 66−5 ÷ 6611 × 66−12

    Solutions

    The correct answer is option 4 i.e. 66−28.

    am ÷ an = am - n

    am × an = am + n

    66−5 ÷ 6611 × 66−12

    = 66−16 × 66−12

    = 66-28

  • Question 5/10
    2 / -0.5

    A delivery van travels at a constant speed of 60 km/h to cover a certain route in 1 hour 45 minutes. If traffic increases the time taken by 15 minutes, by what percentage must the van's average speed decrease to complete the route?

    Solutions

  • Question 6/10
    2 / -0.5

    A tent designed as a triangular prism features a triangular base with an area of 20 m2 and a height of 6 m. What is the volume of this tent?

    Solutions

    The correct answer is option 2 i.e. 120 m3.

    Volume = Base area × Height = 20 × 6 = 120 m3

  • Question 7/10
    2 / -0.5

    If (x + y) = 7, xy = 4, then what is the value of x3 + y3?

    Solutions

    The correct answer is option 2 i.e. 259.

    (x + y) = 7

    Squaring both the sides

    ⇒ (x + y)2 = 72

    ⇒ x2 + y2 + 2xy = 49

    ⇒ x2 + y2 + 2 × 4 = 49

    ⇒ x2 + y2 = 41

    We know that,

    ⇒ x3 + y3 = (x + y)(x2 + y2 - xy)

    ⇒ x3 + y3 = 7 × (41 - 4)

    ⇒ x3 + y3 = 7 × 37

    ⇒ x3 + y3 = 259

  • Question 8/10
    2 / -0.5

    A music player is sold for ₹4,510 cash, or ₹1,200 cash down payment and the balance in three equal easy installments. If 10% is the rate of interest compounded annually, find the amount of instalment.

    Solutions

  • Question 9/10
    2 / -0.5

    Solutions

  • Question 10/10
    2 / -0.5

    If 2 times the age of Ram is 24 years more than 2 times the age of Ramya, and 4 times the age of Ramya is 3 years less than the age of Ram, then what is the difference (in years) between the ages of Ram and Ramya?

    Solutions

    The correct answer is option 1 i.e. 12.

    Let Ram's age = R and Ramya's age = Y

    2R = 24 + 2Y

    ⇒ R – Y = 12

    4Y = R – 3

    ⇒ R = 4Y + 3

    ⇒ 4Y + 3 – Y = 12

    ⇒ 3Y = 9

    ⇒ Y = 3 years

    ⇒ R = 12 + 3 = 15 years

    Difference = 15 - 3 = 12 years

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