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Mathematics Mcqs

The sum of cubes of two numbers is 280. If the numbers are in the ratio 2:3, find the smallest number.

The sum of cubes of two numbers is 280. If the numbers are in the ratio 2:3, find the smallest number.

A. 4
B. 6
C. 3
D. 2
Let the numbers be 2x and 3x. (2x)³+(3x)³=280 8x³+27x³=280 35x³=280 x³=8 x=2 The numbers are 4 and 6.

The sum of cubes of two numbers is 280. If the numbers are in the ratio 2:3, find the smallest number. Read More »

Mathematics Mcqs, Ratio and Proportion

Find the value of x when y = 5, if x varies directly as 4y-1 and x = 14 when y = 2.

Find the value of x when y = 5, if x varies directly as 4y-1 and x = 14 when y = 2.

A. 38
B. 35
C. 10
D. 28
Let z = 4y-1
When x = 14, y = 2, z = (4*2) – 1 = 7
Now, x varies directly as z = 4y-1
When y = 5, z = (4*5) – 1 = 19
x 14 7
y – 19
Therefore, x = (14*19)/7 = 38

Find the value of x when y = 5, if x varies directly as 4y-1 and x = 14 when y = 2. Read More »

Mathematics Mcqs, Ratio and Proportion

The number of seats available for Biology and Computer Science in a school is in the ratio 5:8. They are to be increased by 30% and 25% . Find the new ratio.

The number of seats available for Biology and Computer Science in a school is in the ratio 5:8. They are to be increased by 30% and 25% . Find the new ratio.

A. 6:10
B. 13:20
C. 3:4
D. 35:33
Let the number of seats be 5x and 8x. New ratio
= (1.3*5x):(1.25*8x)
= 6.5x:10x
= 13:20

The number of seats available for Biology and Computer Science in a school is in the ratio 5:8. They are to be increased by 30% and 25% . Find the new ratio. Read More »

Mathematics Mcqs, Ratio and Proportion

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?

A. 2 : 3 : 4
B. 6 : 7 : 8
C. 6 : 8 : 9
D. None of these
5:7:8 = 50:70:80
50*140/100=70 ; 70*150/100=105 ; 80*175/100=140
70: 105: 140 or
14: 21: 28 or
2: 3: 4

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ? Read More »

Mathematics Mcqs, Ratio and Proportion

In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?

In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?

A. 50
B. 100
C. 150
D. 200

In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there? Read More »

Mathematics Mcqs, Ratio and Proportion

Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is :________?

Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is :________?

A. 27
B. 33
C. 49
D. 55

Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is :________? Read More »

Mathematics Mcqs, Ratio and Proportion

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is :__________?

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is :__________?

A. 2 : 5
B. 3 : 5
C. 4 : 5
D. 6 : 7
Let the third number be x.
Then, first number = 120% of x = 120x/100 = 6x/5 second numbet = 150% of x = 150x/100 = 3x/2 Ratio of first two numbers = 6x/5 : 3x/2 =12x : 15x = 4 : 5.

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Mathematics Mcqs, Ratio and Proportion