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.
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.
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 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
A. 2:5
B. 4:5
C. 6:5
D. 8:5
A:C=(A:B)*(B:C) =(2/3)*(3/4)= 1/2 C:D=(C:A)*(A:D) =(2)*(4/5) = 8:5
A:B=2:3, B:C=3:4, A:D=4:5. Find C:D. Read More »
Mathematics Mcqs, Ratio and Proportion A. 63
B. 31
C. 21
D. 27
3:7::9:x 3x=7*9=63 x=21
Find the fourth proportion to 3, 7 and 9. Read More »
Mathematics Mcqs, Ratio and Proportion A. 2 : 5
B. 3 : 7
C. 5 : 3
D. 7 : 3
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
A. 50
B. 100
C. 150
D. 200
A. 27
B. 33
C. 49
D. 55
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.