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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 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
2. 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
3. In a class, there are 18 boys who are over 160 cm tall. If these constitute threefourths of the boys and the total number of boys is twothirds of the total number of students in the class, what is the number of girls in the class ?
 10
 12
 14
 18
Answer: Option B
Explanation:
Let the number of boys be x.
Then, 3/4 x = 18
=> x = 24
If total number of students is y, then
2/3 y = 24
=> y = 36
Number of girls in class = y  x
= 36  24 = 12
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 twiceas 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 = 314 = 27
Putting A = 27 in (i) we get
B = 9
Putting A = 27 in (ii) we get
C = 50
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