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Question Detail
Find the least number which leaves a reminder of 3 when divided by 5, 6, 7 and 8, but leaves no reminder when divided by 9 ?
 1683
 1692
 1598
 1458
Answer: Option A
Explanation:
First of all, calculate LCM of 5, 6, 7 and 8 which is 840.
Suppose Number is K
then 840 * K + 3 is divisible by 9.
If K = 1, number = (840 × 1) + 3 = 843 which is not divisible by 9
If K = 2, number = (840 × 2) + 3 = 1683 which is divisible by 9
So 1683 is correct answer.
1. 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 ?
 20
 45
 55
 90
Answer: Option B
Explanation:
Total number of handshakes =
9+8+7+6+5+4+3+2+1 = 45
2. 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
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 = 3x5 and son's age x5
So, 3x5 = 4(x5)
=> 3x5 = 4x20
=> x = 15
4. A student got twice as many sums wrong as he got right. If he attempted 48 sums in all, how many did he solve correctly ?
 12
 16
 24
 18
Answer: Option B
Explanation:
Suppose boy got x sums right and 2x sums wrong,
then,
x+2x = 48
=> 3x = 48
=> x = 16
5. 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
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