A. 1/3
B. 7/9
C. 5/12
D. None of these

M/P = M/N * N/O * O/P = ¾ * 5/7 * 7/9 = 5/ 12

The Mcq M:N = 3:4, N:O = 5:7 and O:P = 7:9. Then M:P =________?

 

A. 16 : 2 : 3
B. 8 : 3 : 6
C. 16 : 2 : 9
D. 6 : 9 : 1

Let the profit of X be P1, that of Y be P2 and of Z be P3.
P1:P2:P3 = 20000*12 : 7500*4 : 15000*9 = 240 : 30 : 135 = 80 : 10 : 45
= 16 : 2 : 9

The Mcq In what ratio should the profit of Rs.8000 be divided if X starts a business with an investment of Rs. 20000, Y invests Rs.7500 for 4 months and Z invests Rs.15000 after 3 months from the start of the business

A. 54 cm
B. 27 cm
C. 12 cm
D. 15 cm

Let the length and breadth be 5x cm and 4x cm.
5x*4x=180
20x²=180
x²=9,x=3 Length = 15cm Breadth = 12cm Perimeter
= 2(l+b)
= 2*27
= 54 cm

The Mcq The length and breadth of a rectangle are in the ratio 5:4. Find its perimeter if its area is 180 cm²

A. 1200 m²
B. 1500 m²
C. 12000 m²
D. 15000 m²

Actual length
= 30*500 cm Actual breadth
= 20*500 cm Actual area
= 30*20*500*500 = 15000 m²

The Mcq The plan for a rectangular area is drawn to a scale of 1:500. If the length and breadth in the plan is 30 cm and 20 cm, find the actual area.

 

A. 15
B. 10
C. 8
D. 5

a:b = 3:5 5a = 3b (a+2):(b+2) = 2:3 3(a+2) = 2(b+2) 3a+6 = 2b+4 3*(3b/5) = 2b-2 9b = 10b-10 b =10

The Mcq The ratio of two numbers a and b is 3:5. If 2 is added to both the numbers, the ratio becomes 2:3. Find b.

A. 2:3:5
B. 8:12:15
C. 2:8:5
D. 2:7:5

If A:B = m1:n1 ; B:C = m2:n2
Then, A:B:C = (m1*m2):(n1*m2):(n1*n2)
Therefore, X:Y:Z = (2*4):(3*4):(3*5)
= 8:12:15

The Mcq If X:Y = 2:3, Y:Z = 4:5. Find X:Y:Z.

 

A. 9
B. 15
C. 25
D. 50

5:x::x:45 x²=45*5 = 225 x=15

The Mcq Find the mean proportion between 5 and 45.

A. 2
B. 3
C. 5
D. 6

X:Y:Z=2:3:4
X=4
Then, Y=6, Z=8 XY=kZ 4*6=k*8 8k=24 k=3
Y=12, Z=8
X*12=3*8
X=2

The Mcq Three quantities X, Y and Z are such that XY=kZ where k is constant. Initially, X was at 4 and X:Y:Z was 2:3:4. If the value of Y is changed to 12 and Z is kept constant, find the value of X.

 

A. 160
B. 200
C. 250
D. 240

Let the number of 50p, 1 rupee and 2 rupee coins be 2x,5x and 8x. 0.5*(2x)+5x+2*8x = 352 22x=352 x=16 Total no. of coins
= 2x+5x+8x
= 15x = 240

The Mcq A bag contains 50 paise, 1 rupee and 2 rupee coins in the ratio 2:5:8. If the total amount is Rs. 352, find the total number of coins in the bag.

 

A. 8:15:30
B. 5:18:28
C. 4:5:6
D. 2:3:5

P1:P2:P3 = (2*4):(3*5):(5*6)
= 8 : 15 : 30