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1.	1). Both I and II2). Only II3). Both II and III4). All the three
Answer» The number of books Ram already has is immaterial ∴ Statement (1) is not necessary Ram purchases 20 new books and sells none of them according to STATEMENTS (2) and (3) These statements are enough to tell us the number of new books Ram is LEFT with.

1). Both I and II2). Only II3). Both II and III4). All the three

Answer»

The number of books Ram already has is immaterial

∴ Statement (1) is not necessary

Ram purchases 20 new books and sells none of them according to STATEMENTS (2) and (3)

These statements are enough to tell us the number of new books Ram is LEFT with.

Discussion

2.	A total number of bananas with three friends Moti, Sumit and Manky together is 10. If the sum of reciprocals of the number of bananas with the three friends is 1, what is absolute difference between the number of bananas with Moti and Sumit?1). 22). 33). 04). Either (1) or (3)
Answer» Let the number of bananas with Moti, Sumit and Manky is a, b and c respectively ⇒ a + b + c = 10----(1) ⇒ (1/a) + (1/b) + (1/c) = 1----(2) The only possible set of values of a, b and c that satisfy both the equations is 4, 2 and 4 not necessarily in that PARTICULAR order ⇒ The absolute difference between a and b could be either 0 or 2 ∴ Exact value cannot be determined

A total number of bananas with three friends Moti, Sumit and Manky together is 10. If the sum of reciprocals of the number of bananas with the three friends is 1, what is absolute difference between the number of bananas with Moti and Sumit?1). 22). 33). 04). Either (1) or (3)

Answer»

Let the number of bananas with Moti, Sumit and Manky is a, b and c respectively

⇒ a + b + c = 10----(1)

⇒ (1/a) + (1/b) + (1/c) = 1----(2)

The only possible set of values of a, b and c that satisfy both the equations is 4, 2 and 4 not necessarily in that PARTICULAR order

⇒ The absolute difference between a and b could be either 0 or 2

∴ Exact value cannot be determined

Discussion

3.	If the sum of the 1st and 4th number of four consecutive odd integers is 288 then sum of the 2nd and 3rd of them is:1). 2882). 2843). 3004). 280
Answer» LET four consecutive odd integers are: ⇒ 2K + 1, 2k + 3, 2k + 5, 2k + 7 Sum of 1^st and 4^th is 288, So 2k + 1 + 2k + 7 = 288 ⇒ 4k + 8 = 288 ⇒ 4k = 280 ⇒ k = 70 Second and third integer will be 143, 145 ∴ Sum = 288

If the sum of the 1st and 4th number of four consecutive odd integers is 288 then sum of the 2nd and 3rd of them is:1). 2882). 2843). 3004). 280

Answer»

LET four consecutive odd integers are:

⇒ 2K + 1, 2k + 3, 2k + 5, 2k + 7

Sum of 1^st and 4^th is 288,

So 2k + 1 + 2k + 7 = 288

⇒ 4k + 8 = 288

⇒ 4k = 280

⇒ k = 70

Second and third integer will be 143, 145

∴ Sum = 288

Discussion