Arithmetic Reasoning Questions Answers

  • 8. A father is now three times as old as his son. Five years back, he was four times as old as his son. The age of the son is :

    1. 12
    2. 15
    3. 18
    4. 20
    Answer :

    Option B

    Explanation:

    Let son's age be x then father's age is 3x
    Five years ago, father's age = 3x-5 and son's age x-5
    So, 3x-5 = 4(x-5)
    => 3x-5 = 4x-20
    => x = 15

  • 9. The number of boys in a class is three times the number of girls. Which one of the following numbers cannot represent the total number of children in the class ?

    1. 48
    2. 44
    3. 42
    4. 40
    Answer :

    Option C

    Explanation:

    Let number of girls = x and number of boys = 3x.

    Then, 3x + x = 4x = total number of students.

    Thus, to find exact value of x, the total number of students must be divisible by 4.

  • 10. If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice in how many days ?

    1. 4 day
    2. 10 day
    3. 40 day
    4. 100 day
    Answer :

    Option D

  • 11. I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I have to pack and distribute ?

    1. 25
    2. 37
    3. 54
    4. 65
    Answer :

    Option A

    Explanation:

    The required number will be such that it leaves a reminder of 1 when divided by 2, 3 or 4 and no reminder when divided by 5. Such a number is 25 among options

  • 12. A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C ?

    1. 9, 46
    2. 9, 50
    3. 10, 46
    4. 10, 50
    Answer :

    Option B

    Explanation:

    As from the question we have,
    A = 3B --- (i)
    c - 4 = 2(A+4) ---(ii)

    Also, A + 4 = 31
    or A = 31-4 = 27

    Putting A = 27 in (i) we get
    B = 9
    Putting A = 27 in (ii) we get
    C = 50

  • 13. At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether ?

    1. 20
    2. 45
    3. 55
    4. 90
    Answer :

    Option B

    Explanation:

    Total number of handshakes =
    9+8+7+6+5+4+3+2+1 = 45

  • 14. A, B, C and D play a game of cards. A says to B. "If I give you 8 cards, you will have as many as C has and I shall have 3 less than what C has. Also if I take 8 cards from C, I shall have twice as many as D has." If B and D together have 50 cards, how many cards have A got?

    1. 35
    2. 37
    3. 38
    4. 40
    Answer :

    Option D

    Explanation:

    If we read given question carefully, we get,
    B+8 = C ---(i)
    A-8 = C-3 ---(ii)
    A+6 = 2D ---(iii)
    B+D = 50 ---(iv)

    Putting C = A -5 from (ii) into (i), we have :
    B+8 = A-5 or A-B = 13 ---(v)

    Putting D = 50-B from (iv) and (iii), we have :

    A+6 = 100-2B or A+2B = 94 ---(vi)

    Solving (v) and (vi), we get
    B = 27 and A = 40



Please Like Us

disawar satta king