Explore topic-wise MCQs in Arithmetic Ability.

This section includes 462 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.

301.

If A : B = 7 : 9 and B : C = 5 : 4, then A : B : C is -

A. : 45 : 36
B. 8 :36 : 35
C. 5 : 45 : 36
D. one of these
Answer» D. one of these
302.

The annual income of A and B are in the ratio 4 : 3 and the ratio of their expenditures is 3 : 2. If each of them saves Rs. 600 in the year, the annual income of A is = ?

A. s. 4800
B. s. 1800
C. s. 1200
D. s. 2400
Answer» E.
303.

Of the three numbers, the ration of the first and the second is 8 : 9 and that of the second and third is 3 : 4. If the product of the first and third number is 2400. then the second number is=?

A. 5
B. 0
C. 4
D. 0
Answer» B. 0
304.

If a : b = c : d = e : f = 1 : 2, then (3a + 5c + 7e) : (3b + 5d + 7f) is = ?

A. : 7
B. : 1
C. : 4
D. : 2
Answer» E.
305.

In a business, the ratio of the capitals of A and B is 2 : 1, that of B and C is 4 : 3 and that of D and C is 6 : 5. Then the ratio of the capitals of A and D is -

A. : 20
B. : 5
C. : 3
D. 0 : 9
Answer» E.
306.

If 3A = 5B and 4B = 6C, then A : C equal to -

A. : 5
B. : 5
C. : 5
D. : 2
Answer» E.
307.

If A : B = 2 : 3, B : C = 2 : 4 and C : D = 2 : 5, then A : D is equal to -

A. : 5
B. : 5
C. : 5
D. : 15
Answer» E.
308.

If A : B : C = 2 : 3 : 4, then ratio $$\frac{{\text{A}}}{{\text{B}}}$$ : $$\frac{{\text{B}}}{{\text{C}}}$$ : $$\frac{{\text{C}}}{{\text{A}}}$$ is equal to?

A. : 9 : 16
B. : 9 : 12
C. : 9 : 24
D. : 9 : 12
Answer» D. : 9 : 12
309.

If $${\text{A}}$$ : $${\text{B}}$$ = $$\frac{1}{2}$$ : $$\frac{3}{8}{\text{,}}$$$${\text{B}}$$ : $${\text{C}}$$ = $$\frac{1}{3}$$ : $$\frac{5}{9}$$ and $${\text{C}}$$ : $${\text{D}}$$ = $$\frac{5}{6}$$ : $$\frac{3}{4}{\text{,}}$$Then the ratio of A : B : C : D is ?

A. : 4 : 8 : 10
B. : 8 : 9 : 10
C. : 6 : 10 : 9
D. : 6 : 8 : 10
Answer» D. : 6 : 8 : 10
310.

If a : b = b : c, then a4 : b4 is equal to = ?

A. c : b2
B. 2 : c2
C. 2 : a2
D. 2 : ac
Answer» C. 2 : a2
311.

If W1 : W2 = 2 : 3 and W1 : W3 = 1 : 2, then W2 : W3 is -

A. : 4
B. : 3
C. : 3
D. : 5
Answer» B. : 3
312.

If x2 + 4y2 = 4xy, then x : y is -

A. : 1
B. : 2
C. : 1
D. : 4
Answer» D. : 4
313.

If 2A = 3B = 4C, then A : B : C is equal to -

A. : 3 : 4
B. : 4 : 6
C. : 3 : 2
D. : 4 : 3
Answer» E.
314.

If a : b = 5 : 7 and c : d = 2a : 3b then ac : bd is = ?

A. 0 : 38
B. 0 : 147
C. 0 : 21
D. 0 : 151
Answer» C. 0 : 21
315.

An amount of money is to be distributed among P, Q ans R in the ratio of 2 : 7 : 9. The total of P's and Q's share is equal to R's share. What is the difference between the shares of P and Q ?

A. s. 5000
B. s. 7500
C. s. 9000
D. nformation inadequate
Answer» E.
316.

There are Rs. 225 consisting of one rupee, 50 paise and 25 paise coins. The ratio of their numbers in that order is 8 : 5 : 3. The number of one - rupee coins is = ?

A. 0
B. 12
C. 60
D. 72
Answer» D. 72
317.

If x = $$\frac{1}{3}$$y and y = $$\frac{1}{2}$$z, then x : y : z is equal to

A. : 2 : 6
B. : 3 : 6
C. : 4 : 6
D. : 2 : 1
Answer» C. : 4 : 6
318.

25% of A's income is equal to 35% of B's income. The ratio of the incomes of A and B is -

A. : 7
B. : 5
C. 3 : 15
D. 5 : 13
Answer» C. 3 : 15
319.

A barrel contains a mixture of wine and water in the ratio 3 : 1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture becomes 1 : 1 = ?

A. $\frac{1}{4}$$
B. $\frac{1}{3}$$
C. $\frac{3}{4}$$
D. $\frac{2}{3}$$
Answer» C. $\frac{3}{4}$$
320.

Two numbers are in the ratio 17 : 45, One - third of the smaller is less than $$\frac{1}{5}$$ of the bigger by 15. The smaller number is = ?

A. $25\frac{1}{2}$$
B. $67\frac{1}{2}$$
C. $76\frac{1}{2}$$
D. $86\frac{1}{2}$$
Answer» D. $86\frac{1}{2}$$
321.

If 20% of A = 30% of B = $$\frac{1}{6}$$ of C, then A : B : C is -

A. : 3 : 6
B. : 2 : 16
C. 0 : 15 : 18
D. 5 : 10 : 18
Answer» E.
322.

In a proportion the product of 1st and 4th terms is 40 and that of 2nd and 3rd terms is 2.5x. Then the value of x is.

A. 6
B. 6
C. 5
D. 0
Answer» B. 6
323.

What will be the simplest form of the ratio 3 hours : 1 day?

A. : 3
B. : 6
C. : 8
D. : 25
Answer» D. : 25
324.

The income of A, B and C are in the ratio 7 : 9 : 12 and their spending are in the ratio 8 : 9 : 15. If A saves $$\frac{1}{4}$$ th of his income then the savings of A, B and C are in the ratio of = ?

A. 6 : 99 : 69
B. 9 : 56 : 99
C. 9 : 56 : 69
D. 9 : 69 : 56
Answer» B. 9 : 56 : 99
325.

If a : b = c : d, then $$\frac{{{\text{ma}} + {\text{nc}}}}{{{\text{mb}} + {\text{nd}}}}$$is equal to -

A. : n
B. m : cn
C. n : mb
D. : b
Answer» E.
326.

The ratio of the numbers of boys and girls in a school was 5 : 3. Some new boys and girls were admitted to the school, in the ratio 5 : 7. At this, the total number of students in the school became 1200 and the ratio of boys to girls changed to 7 : 5. The number of students in the school before new admissions was = ?

A. 00
B. 20
C. 00
D. 60
Answer» E.
327.

The monthly salaries of A, B and C are in the ratio 2 : 3 : 5. If C's monthly salary is Rs. 12000 more than that of A, then B's annual salary is = ?

A. s. 120000
B. s. 144000
C. s. 180000
D. s. 240000
Answer» C. s. 180000
328.

A mixture contains wine and water in the ratio 3 : 2 and another mixture contains them in the ratio 4 : 5. How many litres of the latter must be mixed with 3 litres of the former so that the resulting mixture may contain equal quantities of wine and water = ?

A. $5\frac{2}{5}{\text{ litres}}$$
B. $5\frac{2}{3}{\text{ litres}}$$
C. $4\frac{1}{2}{\text{ litres}}$$
D. $3\frac{3}{4}{\text{ litres}}$$
Answer» B. $5\frac{2}{3}{\text{ litres}}$$
329.

If $$\frac{x}{2} = \frac{y}{3} = \frac{z}{4} = $$$$\frac{{2x - 3y + 5z}}{k}{\text{,}}$$then the value of k is -

A. 2
B. 5
C. 6
D. 8
Answer» C. 6
330.

If p : q = 3 : 4, r : s = 8 : 5 and x : y = 10 : 6, then psx : qry is equal to.

A. $\frac{{16}}{{25}}$$
B. $\frac{{25}}{{32}}$$
C. $2$$
D. $\frac{{75}}{{32}}$$
Answer» C. $2$$
331.

If $$\frac{a}{b} = \frac{b}{c} = \frac{c}{d},$$then $$\frac{{{b^3} + {c^3} + {d^3}}}{{{a^3} + {b^3} + {c^3}}}$$will be equal to -

A. $\frac{a}{b}$$
B. $\frac{b}{c}$$
C. $\frac{c}{d}$$
D. $\frac{d}{a}$$
Answer» E.
332.

The numbers are in the ratio 3 : 5 and their LCM is 225. The smaller number is = ?

A. 5
B. 0
C. 5
D. 0
Answer» B. 0
333.

If A : B = 1 : 2, B : C = 3 : 4, C : D = 6 : 9 and D : E = 12 : 16 then A : B : C : D : E is equal to = ?

A. : 3 : 6 : 12 : 16
B. : 4 : 6 : 9 : 16
C. : 4 : 8 : 12 : 16
D. : 6 : 8 : 12 : 16
Answer» E.
334.

The ration 43.5 : 25 is the same as = ?

A. : 1
B. : 1
C. : 2
D. : 4
Answer» B. : 1
335.

If A : B : C = 2 : 3 : 4, then the ratio $$\frac{{\text{A}}}{{\text{B}}}$$ : $$\frac{{\text{B}}}{{\text{C}}}$$ : $$\frac{{\text{C}}}{{\text{A}}}$$ is equal to -

A. : 9 : 16
B. : 9 : 24
C. : 9 : 12
D. : 9 : 16
Answer» C. : 9 : 12
336.

x, y, z, u are real numbers such that x : y = y : z = z : u and x : u = 64 : 27. the value of x : z is -

A. 4 : 27
B. 6 : 9
C. : 3
D. : 4
Answer» C. : 3
337.

If 2A = 3B = 4C, the A : B : C is = ?

A. : 3 : 4
B. : 3 : 2
C. : 4 : 3
D. : 4 : 6
Answer» D. : 4 : 6
338.

If A : B = 3 : 4 and B : C = 8 : 9, then A : B : C is = ?

A. : 6 : 9
B. : 8 : 6
C. : 8 : 9
D. : 32 : 9
Answer» D. : 32 : 9
339.

If a and b are rational numbers and $$a + b\sqrt 3 $$$$ = $$ $$\frac{1}{{2 - \sqrt 3 }}{\text{,}}$$then a : b is equal to = ?

A. : 1
B. : 3
C. $\sqrt 3 $$ : 1
D. $$\sqrt 3 $$ : 1
Answer» B. : 3
340.

If A : B : C = 2 : 3 : 5 and A = x% of (B + C), then x is equal to -

A. 0
B. 4
C. 5
D. 8
Answer» D. 8
341.

If a : (b + c) = 1 : 3 and c : (a + b) = 5 : 7, then b : (a + c) is equal to.

A. : 2
B. : 3
C. : 3
D. : 1
Answer» B. : 3
342.

The ratio of the first and second class fares between two railway stations is 4 : 1 and that of the number of passengers travelling by first and second classes is 1 : 40. If on a day Rs. 1100 are collected as total fare, the amount collected from the first class passengers is = ?

A. s. 315
B. s. 275
C. s. 137.50
D. s. 100
Answer» E.
343.

In an alloy, the ratio of copper and zinc is 5 : 2. If 1.250 kg of zinc is mixed in 17 kg 500 gm of alloy, then the ratio of copper and zinc will be = ?

A. : 1
B. : 3
C. : 2
D. : 2
Answer» B. : 3
344.

If $$\sqrt 2 $$ : $$\left( {1 + \sqrt 3 } \right)$$:: $$\sqrt 6 $$ : $$x$$, then $$x$$ is equal to -

A. $\sqrt 3+ 3$$
B. $1 - \sqrt 3 $$
C. $1 + \sqrt 3 $$
D. $\sqrt 3- 3$$
Answer» B. $1 - \sqrt 3 $$
345.

The value of $$x$$ where $$x$$ : $$2\frac{1}{3}$$ :: $$21$$ : $$50$$ is -

A. $1\frac{1}{{49}}$$
B. $1\frac{1}{{50}}$$
C. $\frac{{49}}{{50}}$$
D. $\frac{{27}}{{50}}$$
Answer» D. $\frac{{27}}{{50}}$$
346.

A sum of Rs. 1240 is distributed among A, B and C such that the ratio of amount received by A and B is 6 : 5 and that of B and C is 10 : 9 respectively. Find the share of C ?

A. s. 480
B. s. 360
C. s. 400
D. s. 630
Answer» C. s. 400
347.

The weight of Mr. Gupta and Mrs. Gupta are in the ratio 7 : 8 and their total weight is 120 kg. After taking a dieting course Mr. Gupta reduces by 6 kg and the ratio between their weights change to 5 : 6, so Mrs. Gupta has reduced by = ?

A. kg
B. kg
C. kg
D. kg
Answer» C. kg
348.

Income of A and B are in the ratio 4 : 3 and their annual expenses are in the ratio 3 : 2. If each save Rs. 60000 at the end of the year, the annual income of A is = ?

A. s. 120000
B. s. 150000
C. s. 240000
D. s. 360000
Answer» D. s. 360000
349.

If x : y = 3 : 4 and a : b = 1 : 2, then the value of $$\frac{{2xa + yb}}{{3yb - 4xa}}$$is

A. $\frac{5}{6}$$
B. $\frac{6}{5}$$
C. $\frac{6}{7}$$
D. $\frac{7}{6}$$
Answer» E.
350.

If (4x2 - 3y2) : (2x2 + 5y2) = 12 : 19, then x : y is

A. : 3
B. : 2
C. : 2
D. : 1
Answer» D. : 1