Simplification

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