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Question Detail
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
1. 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
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. Reena is twice as old as Sunita. Three years ago, she was three times as old as Sunita. How old is Reena now ?
- 6 years
- 12 years
- 14 years
- 16 years
Answer: Option B
Explanation:
Let Sunita's present age = x years
Then Reena present age = 2x years
Three years ago
(2x-3) = 3(x-3)
2x - 3 = 3x - 9
or x = 6
Reena age = 2x = 2*6 = 12 year.
4. First bunch of bananas has (1/4) again as many bananas as a second bunch. If the second bunch has 3 bananas less than the first bunch, then the number of bananas in the first bunch are
- 9
- 10
- 12
- 15
Answer: Option D
Explanation:
Let the number of bananas in the second bunch be x.
Then, the number of bananas in the first bunch
= x + 1/4 x
= 5/4 x
So,
5/4 x - x = 3
=> 5x - 4x = 12
x = 12
Number of bananas in first bunch
= 5/4 * 12 = 15
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
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