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

  • 4 day
  • 10 day
  • 40 day
  • 100 day

Answer: Option D

Similar Questions :

1. 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?

  • 35
  • 37
  • 38
  • 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



2. 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 :

  • 12
  • 15
  • 18
  • 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

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

  • 4 day
  • 10 day
  • 40 day
  • 100 day

Answer: Option D

4. In a caravan, in addition to 50 hens, there are 45 goats and 8 camels with some keepers. If the total number of feet be 224 more than the number of heads in the caravan, the number of keepers is

  • 5
  • 8
  • 10
  • 15

Answer: Option D

Explanation:

Let the number of keepers be x.
Then, total number of feet = 2*50+4*45+4*8+2x
= 2x + 312

Total number of heads = 50+45+8+x = 103 + x
Now, (2x+312) = (103+x)+224
=> x = 15

5. 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 ?

  • 48
  • 44
  • 42
  • 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.

Read more from - Arithmetic Reasoning Questions Answers
Post a comment

  • Shailendra Kishore 8 years ago

    According to Question ,
    CAT 100 : 4 : : 100 : X
    MICE 100 : 4

    CAT = 100:4(Less cat more days) Indirect
    Mice = 100:4 (Less mice less days) Direct

    In Direct proportion, ratio will same.
    but in Indirect proportion, ratio will exchange.

    So, CAT is Indirect then , ratio of CAT will be = 4:100

    CAT 4 : 100 : : 100 : X
    MICE 100 : 4

    Then solution is,
    X*4*100 = (100*100*4)

    then X = (100*100*4)/(100*4)

    Answer is 100 Days.

  • Om Prakash 9 years ago

    If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice in how many days ?
    Ans- This ques. can be solved by man day work. i.e- m1*d1*w2=m2*d2*w1
    here, 100*100*4=4*d2*100
    or d2=100 days.
    Therefore, 4 Cats would kills 4 mice in 100 days.

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