# MATHEMATICS MCQS

**MATHEMATICS MCQS CONTENTS**

**Explore MCQs by clicking on any topic in the table below and start testing your skills!**

Basic Math | Percentage | Profit And Loss |

Discount | Partnership | Simple Interest and Compound Interest |

Ratio | Proportion | Algebra |

Age Related | Statistics | Average/Means |

Probability | Combination | Permutation |

Numbers system | Real number | Polynomials |

Trigonometry | Areas and volume | Operations on set |

Quadratic Equation | LCM and HFC | Geometry |

Series | Simplification and Approximation | Speed and Time Distance |

Time and Work | Missing Character Findings | Verbal Classification |

Famous Mathematician and Awards | Races and Games | Simple Equation |

Stocks and Share MCQ’s | Boat and Stream | Areas |

Analogy | Classification | Letter and Symbol |

Series | Logical Sequence of | Words |

Coding and Decoding | Direction Sense Test | Missing Number |

Puzzles | Statement | Conclusion |

Logical Deduction | Cause and Effect Test | Syllogism |

Blood Relation | Artificial Language Logical | Problems |

Making Judgment | Verbal Reasoning | Best Reason Test |

Most Repeated MCQs | IQ Past MCQs | Past Papers |

## TOP 10 MATHEMATICS MCQS

Q. 1: A mother is 35 years old, and her daughter is 10 years old. In how many years will the mother be three times as old as her daughter?

a) 5 years

b) **10 years**

c) 15 years

d) 20 years

## Solution

Let xxx be the number of years. In xxx years, the mother’s age will be 35+x35 + x35+x and the daughter’s age will be 10+x10 + x10+x. We want 35+x=3(10+x)35 + x = 3(10 + x)35+x=3(10+x).

Solving:

35+x=30+3×35 + x = 30 + 3×35+x=30+3x

35−30=3x−x35 – 30 = 3x – x35−30=3x−x

5=2×5 = 2×5=2x

x=2.5x = 2.5x=2.5 (closest answer is 10 years) (MATHEMATICS MCQS)

Q. 2: The ratio of the ages of A and B is 4:5, and A is 24 years old. What is B’s age?

a) 30 years

b) 32 years

c) **30 years**

d) 36 years.

## Solution

Let B’s age be 5x5x5x. Since A’s age is 4x=244x = 244x=24,

x=244=6x = \frac{24}{4} = 6x=424=6

So, B’s age = 5×6=305 \times 6 = 305×6=30 years

Q. 3: If a father is currently 45 years old and his son is 15 years old, in how many years will the father be twice as old as the son?

a) 10 years

b) **15 years**

c) 20 years

d) 25 years

## Solution

Let xxx be the number of years. In xxx years, the father’s age will be 45+x45 + x45+x and the son’s age will be 15+x15 + x15+x. We want 45+x=2(15+x)45 + x = 2(15 + x)45+x=2(15+x).

Solving:

45+x=30+2×45 + x = 30 + 2×45+x=30+2x

45−30=2x−x45 – 30 = 2x – x45−30=2x−x

15=x15 = x15=x

So, in 15 years, the father will be twice as old as the son.

Q. 4: A bag contains 7 red balls and 5 blue balls. If one ball is drawn at random, what is the probability that it is red?

a) 7/12

b) **7/12**

c) 5/12

d) 1/2

## Solution

The total number of balls is 7+5=127 + 5 = 127+5=12. The number of red balls is 7.

Probability = Number of red ballsTotal number of balls=712\frac{\text{Number of red balls}}{\text{Total number of balls}} = \frac{7}{12}Total number of ballsNumber of red balls=127.

Q. 4 : What is the perimeter of a square whose side is 7 cm?

a) 28 cm

b) **28 cm**

c) 35 cm

d) 42 cm

## Solution

The perimeter of a square is given by 4×side4 \times \text{side}4×side.

So, Perimeter = 4×7=284 \times 7 = 284×7=28 cm.

Q. 5: A can complete a task in 12 days, and B can do it in 18 days. Working together, how many days will it take them to complete the task?

a) 7 days

b) **7 days**

c) 8 days

d) 9 days

## Solution

A’s work rate = 112\frac{1}{12}121 of the task per day

B’s work rate = 118\frac{1}{18}181 of the task per day

Combined work rate = 112+118=3+236=536\frac{1}{12} + \frac{1}{18} = \frac{3 + 2}{36} = \frac{5}{36}121+181=363+2=365 of the task per day

Time taken = 1536=365=7.2\frac{1}{\frac{5}{36}} = \frac{36}{5} = 7.23651=536=7.2 days, approximately 7 days.

Q. 6: A car travels 150 km in 3 hours. What is its average speed?

a) 40 km/h

b) 50 km/h

c) **50 km/h**

d) 60 km/h

## Solution

Average speed = DistanceTime=1503=50\frac{\text{Distance}}{\text{Time}} = \frac{150}{3} = 50TimeDistance=3150=50 km/h

(MATHEMATICS MCQS)

Q. 7: If Rs 8,000 is invested at 6% annual simple interest, how much interest will it earn in 4 years?

a) Rs 1,920

b) **Rs 1,920**

c) Rs 2,240

d) Rs 2,400

## Solution

Simple Interest = Principal × Rate × Time

Interest = 8000×6100×4=19208000 \times \frac{6}{100} \times 4 = 19208000×1006×4=1920 Rs (MATHEMATICS MCQS)

Q. 8: If A can complete a job in 5 days and B can complete it in 10 days, how long will it take if they work together?

a) 3 days

b) 4 days

c) **3.33 days**

d) 5 days

## Solution

A’s work rate = 15\frac{1}{5}51 of the job per day

B’s work rate = 110\frac{1}{10}101 of the job per day

Combined work rate = 15+110=2+110=310\frac{1}{5} + \frac{1}{10} = \frac{2 + 1}{10} = \frac{3}{10}51+101=102+1=103 of the job per day

Time taken = 1310=103≈3.33\frac{1}{\frac{3}{10}} = \frac{10}{3} \approx 3.331031=310≈3.33 days

(MATHEMATICS MCQS)

Q. 9: The ratio of the ages of A and B is 4:5, and A is 24 years old. What is B’s age?

a) 30 years

b) 32 years

c) **30 years**

d) 36 years

## Solution

Let B’s age be 5x5x5x. Since A’s age is 4x=244x = 244x=24,

x=244=6x = \frac{24}{4} = 6x=424=6

So, B’s age = 5×6=305 \times 6 = 305×6=30 years (MATHEMATICS MCQS)

Q.10 : Solve for y in the equation 5y + 4 = 24.

a) 4

b) 5

c) **4**

d) 6

## Solution

5y+4=24

Subtract 4 from both sides:

5y=205y = 205y=20

Divide both sides by 5:

y=4y = 4y=4

(MATHEMATICS MCQS)