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

    Each item contains a Question followed by two Statements. Answer each item using the following instructions:

    Let mn = k, where m and n are prime numbers and k is an even number.

    Question : What is the value of mn - n + 1?

    Statement - I : m > n

    Statement - II : One of the numbers is 2.

    Solutions

    Correct Answer is: If the Question cannot be answered even by using both Statements together.

    Given:

    mn = k, k = even number

    m and n are prime numbers

    If the product of 2 numbers are even it means one number must be an even number.

    Solution:

    Statement 1: m > n

    It does not give any information about values of m and n.

    Statement - II: One of the numbers is 2.

    This statement also does not provide sufficient information to calculate the value of m and n.

    Using both the statements together,

    n = 2 but still we are not sure about the value of m.

  • Question 2/10
    2 / -0.5

    If 3 persons weave 168 shawls in 14 days, how many shawls will 8 persons weave in 5 days?

    Solutions

    Correct Answer is: 160

  • Question 3/10
    2 / -0.5

    A cylindrical rod has an outer curved surface area of 1800 cm2. If the length of the rod is 52 cm, then the outer radius (in cm) of the rod, correct to two places of decimal, is:

    Take π = 22/7.

    Solutions

    Correct Answer is: 5.51

  • Question 4/10
    2 / -0.5

    What is the length (in cm) of chord PQ in a circle with a radius of 7 cm, where a diameter AB and non-diameter chord PQ intersect perpendicularly at point C, and the ratio of AC to BC is 4 : 3?

    Solutions

    Given:

    A chord PQ is shown.

    Radius is 7cm

    C point cuts AB in ratio AC : BC as 4 : 3

    Formula Used:

    Perpendicular from mid point of chord passes through centre. Hence OB⊥ PQ

    Pythagoras’ theorem:

    Solution:

    Diameter AB = 2 × 7 = 14cm

    AC : BC = 4 : 3

    Sum of ratio = 4 + 3 = 7

    But AC + BC = AB = 14cm

    7 ≡ 14

  • Question 5/10
    2 / -0.5

    The ratio of the two parallel sides of a trapezium is 3 : 2. The shortest distance between these sides is 30 cm and the area of the trapezium is 900 cm². What is the sum of the lengths of the parallel sides?

    Solutions

  • Question 6/10
    2 / -0.5

    For 12 innings, Pankaj has an average of 104 runs. In the thirteenth inning, he scores 143 runs, thus increasing his average. By how much has his average increased?

    Solutions

  • Question 7/10
    2 / -0.5

    A certain sum, when invested for 3 years at 10% per annum compound interest, compounded annually, amounts to Rs. 53,240. Find the sum invested (in Rs.).

    Solutions

    Correct Answer is: Rs. 40,000

  • Question 8/10
    2 / -0.5

    When the numbers 8651, 8018 and 7807 were divided by the greatest number x, then the remainder in each case was the same. The value of x is:

    Solutions

    Correct Answer is: 211

    Given:

    The numbers are 8651, 8018, and 7807

    We need to find the greatest number x that divides these numbers, leaving the same remainder in each case

    Concept Used:

    The value of x is the Highest Common Factor (HCF) of the differences between these numbers.

    According to the property:

    K = HCF [a - b, b - c, c - a]

    Solution:

    x = HCF [8651 - 8018, 8018 - 7807, 8651 - 7807]

    Absolute differences between the numbers:

    8651 - 8018 = 633

    8018 - 7807 = 211

    8651 - 7807 = 844

    Now, HCF of the differences: 633, 211, and 844.

    Since 211 is a prime number, check if it divides the other two differences:

    633 ÷ 211 = 3

    844 ÷ 211 = 4

    As 211 is a common factor of all three differences, the HCF of 633, 211, and 844 is 211

    Thus, the value of x is 21

  • Question 9/10
    2 / -0.5

    The average of 13 numbers is 75. If the average of the first six numbers is 69 and the average of the last six numbers is 80, what is the 7th number?

    Solutions

    Correct Answer is: 81

  • Question 10/10
    2 / -0.5

    The value of √196 + √0.0225 – √5.76 is ______.

    Solutions

    Correct Answer is: 11.75

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