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AFCAT - Properties of Number Test 1127
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AFCAT - Properties of Number Test 1127

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  • Question 1/5
    1 / -0.33
    The sum of twice a number and thrice its reciprocal is 25/2. What is the number?
    Solutions

    Correct answer is option B

    Let the number is x

    Twice of a number = 2x

    Reciprocal of a number x is

    Thrice of its reciprocal

    We have to find the number x, Sum of

    Number should be x = 6

  • Question 2/5
    1 / -0.33
    The sum of three consecutive integers is 81. The middle one is?
    Solutions

    Correct Answer is option D

    Let three consecutive integer is a – 1, a, a + 1

    Sum = a – 1 + a + a + 1 =81

    3a = 81

    a = 27

    so, middle number is a, a = 27

  • Question 3/5
    1 / -0.33
    If x = 43 × 19 – 21 ÷ 5 × 31 + 23.7; then which of the following is true?
    Solutions

    x = 43 × 19 – 21 ÷ 5 × 31 + 23.7

    x = 817 – 4.2 × 31 + 23.7

    x = 840.7 – 130.2 = 710.5

    hence, 370 < x < 720

  • Question 4/5
    1 / -0.33
    If x = 28 × 50 ÷ 35 – 12 × 143 ÷ 44 + 1077 and y = √x; Then, which of the following is true?
    Solutions

    x = 28 × 50 ÷ 35 – 12 × 143 ÷ 44 + 1077

    x = 40 – 39 + 1077

    x = 1078

    Now, y = √x = √1078

    We know, √1024 = 32 and √1089 = 33

    Hence, y lies between 32 and 33.

    Only option D satisfies this condition.

  • Question 5/5
    1 / -0.33
    Find two natural numbers whose sum is 171 and whose least common multiple is 266 .
    Solutions

    Given there are two natural numbers whose sum is 171 and whose least common multiple is 266

    Prime factorisation of 266 = 

    As sum of two numbers is 171.

    So we will now try to form possible pairs of required numbers using LCM.

    Possible pairs are: (14,19), (14,38), (14,133), (38,133)

    But their sum if 171.

    So required numbers are 38 and 133

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