Aptitude

Question:
Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ?

[A].

256

[B].

432

[C].

512

[D].

640

Answer: Option C

Explanation:

Let total number of children be x.

Then, x x	1	x =	x	x 16     x = 64.
	8		2

Number of notebooks =	1	x2 =		1	x 64 x 64		= 512.
	8			8

Question:
David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross ?

[A].

19

[B].

28

[C].

30

[D].

37

Answer: Option C

Explanation:

Suppose their paths cross after x minutes.

Then, 11 + 57x = 51 – 63x       120x = 40

x =	1
	3

Number of floors covered by David in (1/3) min. =		1	x 57		= 19.
		3

So, their paths cross at (11 +19) i.e., 30th floor.

Question:
If a – b = 3 and a2 + b2 = 29, find the value of ab.

[A].

10

[B].

12

[C].

15

[D].

18

Answer: Option A

Explanation:

2ab = (a2 + b2) – (a – b)2

   = 29 – 9 = 20

   ab = 10.

Question:
A fires 5 shots to B’s 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:

[A].

30 birds

[B].

60 birds

[C].

72 birds

[D].

90 birds

Answer: Option A

Explanation:

Let the total number of shots be x. Then,

Shots fired by A =	5	x
	8

Shots fired by B =	3	x
	8

Killing shots by A =	1	of	5	x	=	5	x
	3		8			24

Shots missed by B =	1	of	3	x	=	3	x
	2		8			16

	3x	= 27 or x =		27 x 16		= 144.
	16			3

Birds killed by A =	5x	=		5	x 144		= 30.
	24			24

Question:
To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?

[A].

10

[B].

35

[C].

62.5

[D].

Cannot be determined

Answer: Option C

Explanation:

Let the capacity of 1 bucket = x.

Then, the capacity of tank = 25x.

New capacity of bucket =	2	x
	5

Required number of buckets =	25x
	(2x/5)

=	25x	x	5
			2x

=	125
	2

= 62.5

Question:
A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B’s share is:

[A].

Rs. 120

[B].

Rs. 160

[C].

Rs. 240

[D].

Rs. 300

Answer: Option C

Explanation:

Let C’s share = Rs. x

Then, B’s share = Rs.	x	,   A’s share = Rs.		2	x	x		= Rs.	x
	4			3		4			6

	x	+	x	+ x = 1360
	6		4

	17x	= 1360
	12

x =	1360 x 12	= Rs. 960
	17

Hence, B’s share = Rs.		960		= Rs. 240.
		4

Question:
One-third of Rahul’s savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?

[A].

Rs. 30,000

[B].

Rs. 50,000

[C].

Rs. 60,000

[D].

Rs. 90,000

Answer: Option C

Explanation:

Let savings in N.S.C and P.P.F. be Rs. x and Rs. (150000 – x) respectively. Then,

1	x =	1	(150000 – x)
3		2

	x	+	x	= 75000
	3		2

	5x	= 75000
	6

x =	75000 x 6	= 90000
	5

Savings in Public Provident Fund = Rs. (150000 – 90000) = Rs. 60000