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Question Detail
A group of 1200 persons consisting of captains and soldiers is travelling in a train. For every 15 soldiers there is one captain. The number of captains in the group is ?
- 70
- 75
- 80
- 85
Answer: Option B
Explanation:
Generally we may commit mistake of dividing 1200/15.
But out of 16 persons there is one captain.
so, it will be 1200/16 = 75
1. 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
2. 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.
3. 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
4. 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
5. 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
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