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Mathematics Mcqs

A, B, C and D divide a sum of money among themselves in the ratio 7:4:3:2. If D gets Rs. 500 less than A, find the total amount.

Mathematics Mcqs, Ratio and Proportion /
A, B, C and D divide a sum of money among themselves in the ratio 7:4:3:2. If D gets Rs. 500 less than A, find the total amount.

A. Rs.100
B. Rs.700
C. Rs.1600
D. Rs.2000
Let the amount be divided into 7x,4x,3x and 2x.
7x-2x = 500 5x=500 x = 100
Total amount = 7x+4x+3x+2x = 16x = Rs.1600

A, B, C and D divide a sum of money among themselves in the ratio 7:4:3:2. If D gets Rs. 500 less than A, find the total amount. Read More »

Mathematics Mcqs, Ratio and Proportion

Two natural numbers whose sum is 72 cannot be in the ratio:

Mathematics Mcqs, Ratio and Proportion /
Two natural numbers whose sum is 72 cannot be in the ratio:

A. 1:2
B. 3:5
C. 1:3
D. 3:4
72 should be divisible by addition of the above ratio.
Using trial and error method
For (a): – 1+2 = 3, 72 is divisible by 3
For (b): – 3+5 = 8, 72 is divisible by 8
For (a): – 1+3 = 4, 72 is divisible by 4
For (a): – 3+4 = 7, 72 is not divisible by 7
Therefore, the answer is option (d)

Two natural numbers whose sum is 72 cannot be in the ratio: Read More »

Mathematics Mcqs, Ratio and Proportion

A journey of 750 km was covered partly by car(x km) and partly by train(y km). If the distance travelled by train was 150 km more than the distance travelled by car, find x:y.

Mathematics Mcqs, Ratio and Proportion /
A journey of 750 km was covered partly by car(x km) and partly by train(y km). If the distance travelled by train was 150 km more than the distance travelled by car, find x:y.

A. 2:3
B. 3:2
C. 3:4
D. 4:3
x+y = 750 y-x = 150 Solving,
y = 450
x = 300 x:y = 300:450 = 2:3

A journey of 750 km was covered partly by car(x km) and partly by train(y km). If the distance travelled by train was 150 km more than the distance travelled by car, find x:y. Read More »

Mathematics Mcqs, Ratio and Proportion

The sum of squares of three numbers is 280. If the numbers are in the ratio 3:5:6, find the greatest number.

Mathematics Mcqs, Ratio and Proportion /
The sum of squares of three numbers is 280. If the numbers are in the ratio 3:5:6, find the greatest number.

A. 8
B. 6
C. 12
D. 18
Let the numbers be 3x,5x and 6x. (3x)²+(5x)²+(6x)²=280 9x²+25x²+36x²=280 70x²=280 x²=4 x=2 The greatest number is 6x=12.

The sum of squares of three numbers is 280. If the numbers are in the ratio 3:5:6, find the greatest number. Read More »

Mathematics Mcqs, Ratio and Proportion

If a flat costs Rs.4500 per sq. ft, and a commercial space costs Rs.9500 per sq. ft, then what is the ratio of their areas if the total cost of both are the same?

Mathematics Mcqs, Ratio and Proportion /
If a flat costs Rs.4500 per sq. ft, and a commercial space costs Rs.9500 per sq. ft, then what is the ratio of their areas if the total cost of both are the same?

A. 9:19
B. 19:9
C. 15:28
D. 28:15
Let A1 be the area of flat and A2 be that of the commercial space
Total cost = area * rate
Therefore, cost of flat = A1*4500 ; cost of commercial space = A2*9500
Both the above costs are same
A1*4500 = A2*9500
A1:A2 = 9500:4500 = 19:9

If a flat costs Rs.4500 per sq. ft, and a commercial space costs Rs.9500 per sq. ft, then what is the ratio of their areas if the total cost of both are the same? Read More »

Mathematics Mcqs, Ratio and Proportion

The sum of three numbers is 172. The ratio of the first and second numbers is 8:11. The ratio of the second and third is 5:7. Find the second number.

Mathematics Mcqs, Ratio and Proportion /
The sum of three numbers is 172. The ratio of the first and second numbers is 8:11. The ratio of the second and third is 5:7. Find the second number.

A. 44
B. 55
C. 66
D. 77
Let the numbers be a, b and c. a+b+c = 172 a:b = 8:11 b:c = 5:7 11a = 8b a = 8b/11 7b = 5c c = 7b/5 (8b/11)+b+(7b/5) = 172 40b+55b+77b = 172*55 172b = 172*55 b=55

The sum of three numbers is 172. The ratio of the first and second numbers is 8:11. The ratio of the second and third is 5:7. Find the second number. Read More »

Mathematics Mcqs, Ratio and Proportion

4 singers, 5 dancers and 3 comperes divide an amount of Rs.130000 among themselves such that 3 comperes get as much as 2 dancers and 3 dancers get as much as 2 singers. Find the amount received by a singer.

Mathematics Mcqs, Ratio and Proportion /
4 singers, 5 dancers and 3 comperes divide an amount of Rs.130000 among themselves such that 3 comperes get as much as 2 dancers and 3 dancers get as much as 2 singers. Find the amount received by a singer.

A. Rs.18000
B. Rs.13000
C. Rs.15000
D. Rs.10000
4S+5D+3C=130000 3C=2D 3D=2S S=3D/2 [4*(3D/2)]+5D+2D = 130000 6D+5D+2D = 130000 13D = 130000 D = Rs.10000 S=3D/2 = Rs.15000

4 singers, 5 dancers and 3 comperes divide an amount of Rs.130000 among themselves such that 3 comperes get as much as 2 dancers and 3 dancers get as much as 2 singers. Find the amount received by a singer. Read More »

Mathematics Mcqs, Ratio and Proportion