Mathematical Ability - Ratio and Proportion
Exam Duration: 30 Mins Total Questions : 20
If A : B : C = 2 : 3 : 4, then \(\frac{A}{B}:\frac{B}{C}:\frac{C}{A}=?\)
- (a)
8: 9 : 16
- (b)
8: 9: 12
- (c)
8: 9 : 24
- (d)
4: 9: 16
If \(\frac{1}{x}:\frac{1}{y}:\frac{1}{z}=2:3:5\), then x: y : z?
- (a)
2: 3: 5
- (b)
15: 10: 6
- (c)
5: 3: 2
- (d)
6: 10: 15
If \(\frac{x^3+3x}{3x^2+1}=\frac{341}{91}\), find x.
- (a)
11
- (b)
12
- (c)
13
- (d)
10
If 6a2 - ab :2ab - b2 = 6 : 1, find a: b.
- (a)
2: 4
- (b)
2: 3
- (c)
2: 5
- (d)
1: 4
Find three numbers in the ratio 1 : 2 : 3, so that the sum of their squares is equal to 504.
- (a)
6, 12, 18
- (b)
6, 12,20
- (c)
6, 13, 18
- (d)
5, 12, 18
A, B, C and D are four quantities of the same kind such that than A : B = 3 : 4, B : C = 8 : 9, C : D = 15 : 16. Than A: D is
- (a)
3: 8
- (b)
5: 9
- (c)
5: 7
- (d)
5: 8
Divide Rs.162 in the ratio 2: 7.
- (a)
35, 126
- (b)
34, 126
- (c)
36, 126
- (d)
34, 125
If \(\frac{x}{a}=\frac{y}{b}=\frac{z}{c}\), then \(\frac{ax-by}{(a+b)(x-y)}\) is
- (a)
2
- (b)
3
- (c)
4
- (d)
1
If \(\frac{x}{b+c-a}=\frac{y}{c+a-b}=\frac{z}{a+b-c}\), then (b - c) x + (c - a) y + (a - b) z =
- (a)
1
- (b)
0
- (c)
3
- (d)
4
The two numbers such that the mean proportional between them is 24 and the third proportional to them is 192.
- (a)
12,48
- (b)
11,48
- (c)
13,49
- (d)
50, 72
The ratio of the number of rose plants to the number of sunflower plants in a garden is 3 : 5. If there are 25 sunflower plants in the garden, find the number of rose plants in the garden.
- (a)
14
- (b)
12
- (c)
15
- (d)
10
The ratio of A's and B's income last year was 3: 4. The ratio of their own incomes of last year and this year is 4 : 5 and 2 : 3 respectively. If the total sum of their present incomes is Rs.4160, then find the present income of A.
- (a)
Rs.1400
- (b)
Rs.1000
- (c)
Rs.1200
- (d)
Rs.1600
The ratio of the number of students studying in schools A, B and Cis 5 : 6 : 8. If the number of students in each of the schools is increased by 30%, 25% and 25% respectively, what will be the new ratio of the students in schools A, B and C?
- (a)
14: 15 : 20
- (b)
13: 15 : 20
- (c)
15: 17: 19
- (d)
none of these
Two numbers are in the ratio \(1\frac{1}{2}:2\frac{2}{3}\). When each one of these is increased by 15, their ratio becomes \(1\frac{2}{3}:2\frac{1}{2}\). The larger of the numbers is:
- (a)
27
- (b)
36
- (c)
48
- (d)
64
Rs.680 is divided among A, B, C such that A gets 2/3 of what B gets and B gets 1/4 of what C gets. Then, their shares are respectively:
- (a)
Rs.75, Rs.325, Rs.280
- (b)
Rs.80, Rs.120, Rs.480
- (c)
Rs.90,Rs.210,Rs.380
- (d)
Rs.100,Rs.200,Rs.380
In a school, the ratio of boys and girls is 4 : 5. When 100 girls leave the school, the ratio becomes 6 : 7. How many boys are there in the school?
- (a)
1300
- (b)
1500
- (c)
1600
- (d)
none of these
Find x if \(\frac{\sqrt{2-x}+\sqrt{2+x}}{\sqrt{2-x}-\sqrt{2+x}}=3\)
- (a)
-6/5
- (b)
6/5
- (c)
5/6
- (d)
-5/6
Find x if \(\frac{\sqrt{x+1}+\sqrt{x-1}}{\sqrt{x+1}-\sqrt{x-1}}=\frac{4x-2}{2}\)
- (a)
4/5
- (b)
3/5
- (c)
5/4
- (d)
-5/4
If x=\(\frac{6pq}{p+q}\), then the value of \(\frac{x+3p}{x-3p}+\frac{x+3q}{x-3q}\)
- (a)
1
- (b)
2
- (c)
3
- (d)
4
Points P and Q respectively represent numbers - 3 and 7 on the number line. R is a point between P and Q, which divides the segment PQ in the ratio 1 : 4. Find the number, which represents the point R.
- (a)
k = + 1
- (b)
k = 1
- (c)
k - 1
- (d)
k = - 1