solution for question 8

7 x 7 + 2 x 2 = 53, 5 x 5 + 3 x 3 = 34, 3 x 3 + 4 x 4 = 25.

The next tow numbers are 2 x 2 + 5 x 5 = 29, 2 x 2 + 9 x 9 = 85

Question 8

Number 53 is derived from 72. 34 is derived from 53. 25 is derived from 34. What are the next 2 numbers in the sequence?

solution for question 7

Perimeter = Distance covered in 8 min. =		12000	x 8	m = 1600 m.
		60

Let length = 3x metres and breadth = 2x metres.

Then, 2(3x + 2x) = 1600 or x = 160.

 Length = 480 m and Breadth = 320 m.

 Area = (480 x 320) m² = 153600 m².

Question 7

The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:


answer the questions through comment

solution for question 6

Let C = x.

Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.

So, x + x + 5000 + x + 9000 = 50000

 3x = 36000

 x = 12000

A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.

A's share = Rs.		35000 x	21		= Rs. 14,700.
			50

Question 6

A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:

solution for question 5

Let C.P. be Rs. x.

Then,	1920 - x	x 100 =	x - 1280	x 100
	x		x

 1920 - x = x - 1280

 2x = 3200

 x = 1600

Required S.P. = 125% of Rs. 1600 = Rs.		125	x 1600		= Rs 2000.
		100

Question 5

The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

solution for question 4

Let the man's rate upstream be x kmph and that downstream be y kmph.

Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.

		x x 8	4		= (y x 4)
			5

	44	x =4y
	5

y =	11	x.
	5

Required ratio =		y + x		:		y - x
		2				2

=		16x	x	1		:		6x	x	1
		5		2				5		2

=	8	:	3
	5		5

   = 8 : 3

Question 4

A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?