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

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 =________?

# 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. 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

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

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

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

Actual length
= 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.

# 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. 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.

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

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.

# Find the mean proportion between 5 and 45.

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.

# 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. 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 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. 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.

# In what ratio should the profit be divided if M, N, O invests capital in ratio 2:3:5 and their timing of their investments are in the ratio 4:5:6.

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