download Mastguru Android App

Question Detail

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 shepherd had 27 sheep. All but 10 died. How many he left with ?

  • 10
  • 15
  • 17
  • 27

Answer: Option A

Explanation:

"All but 10 died" means all except 10 died, so he is remained with 10 sheep.

2. 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



3. 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

4. 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 ?

  • 25
  • 37
  • 54
  • 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

5. 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 ?

  • 9, 46
  • 9, 50
  • 10, 46
  • 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

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 8 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.

Mastguru Youtube Channel

Videos @mastguru

Free useful videos - Subscribe Mastguru
 

Get Free Current Affairs and Govt Jobs Alerts in your mailbox

To Appreciate Our Effort, Please Like Us

Quantitative Aptitude
English Aptitude
Reasoning Aptitude
Computer Awareness
General Knowledge
Current Affairs
IT Officer Aptitude
Programming Aptitude
Latest Govt Jobs