Multiple Choice QuestionsTwo numbers are such that their difference, their sum and their product are in the ratio of 1 : 7 : 24. The product of the numbers is
24
36
48
48
C.
48
Let the numbers be x and y.
x + y = 7a
x - y = a
x. y = 24a
By solving, we get x = 4a & y = 3a
x . y = 12a2
12a2 = 24a, a = 2
Required product = 24 x 2 = 48
Shortcut Method:
(x - y) : (x + y) : xy
= 1 : 7 : 24
or 2 : 14 : 48
∴ Numbers are 8 and 6 as (8 - 6) : (8 + 6) : (8 x 6)
2 : 14 : 48
A, B, C are partners in a business. During a particular year. A received one-third of the profit, B received one-fourth of the profit and C received the remaining Rs. 5000. How much amount of money did A receive?
Rs. 1000
Rs. 3000
Rs. 4000
Rs. 4000
Three horses are tethered at 3 corners of a triangular plot of land having sides 20m, 30m and 40m each with a rope of length 7m. The area (in m2) of the region of this plot, which can be grazed by the horses, is 
75
77
77
A wire, when bent in the form of a square, encloses a region of area 121 cm2. If the same wire is bent into the form of a circle, then the area of the circle is 
150 cm2
152 cm2
154 cm2
154 cm2
The ratio of the area of a sector of a circle to the area of the circle is 1 : 4. If the area of the circle is 154 cm2, the perimeter of the sector is
20 cm
25 cm
36 cm
36 cm
If a sphere of radius r is divided into four identical parts, then the total surface area of the four parts is
4πr² square unit
2πr² square unit
8πr² square unit
6πr² square unit
A sum of money, deposited at some rate per cent per annum of compound interest, doubles itself in 4 years. In how many years will it become 16 times of itself at the same rate?
16
12
10
10
What is the difference between the compound interest and simple interest on Rs. 4000 at 5% per annum for 2 years?
10
11
20
20
The simple and compound interest on a sum of money for 2 year are Rs. 8400 and Rs. 8652 respectively. The rate of interest per annum is
6%
7.5%
9%
9%
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