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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. A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 70, how many horses are there ?
 8
 10
 12
 14
Answer: Option D
Explanation:
Let number of horses = number of men = x.
Then, number of legs = 4x + 2 x (x/2) = 5x.
So, 5X = 70 or x = 14.
2. In a group of 15 people, 7 read French, 8 read English while 3 of them read none of these two. How many of them read French and English both ?
 2
 3
 4
 5
Answer: Option B
3. 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
4. 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.
5. 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)
A8 = C3 (ii)
A+6 = 2D (iii)
B+D = 50 (iv)
Putting C = A 5 from (ii) into (i), we have :
B+8 = A5 or AB = 13 (v)
Putting D = 50B from (iv) and (iii), we have :
A+6 = 1002B or A+2B = 94 (vi)
Solving (v) and (vi), we get
B = 27 and A = 40
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