Numerical Ability Test

Q1 [Easy]: A train running at 60 km/h takes 9 seconds to pass a pole. What is the length of the train?

Q2 [Easy]: If x² – 5x + 6 = 0, what is the sum of the roots?

Q3 [Easy]: The radius of a circle is 7 cm. What is the area of the circle?

Q4 [Easy]: If the price of an item increases from ₹400 to ₹460, what is the percentage increase?

Q5 [Easy]: What is the remainder when 71 is divided by 9?

Q6 [Easy]: Which of the following satisfies the inequality 2x – 3 < 7?

Q7 [Easy]: In a right-angled triangle, one of the angles is 30°. What is the ratio of the sides opposite to 30° and 90°?

Q8 [Easy]: Solve for x: 3x – 7 = 2x + 5

Q9 [Easy]: A shopkeeper sells an item at ₹240, making a 20% profit. What was the cost price?

Q10 [Easy]: What is the sum of interior angles of a hexagon?

Q11 [Easy]: If f(x) = x² − 3x + 2, find f(4).

Q12 [Easy]: If ₹5000 is invested at 5% simple interest per annum, what will be the interest in 3 years?

Q13 [Easy]: What is the probability of getting a prime number when a die is rolled?

Q14 [Easy]: What is the simple interest on ₹8,000 at 5% p.a. for 4 years?

Q15 [Easy]: Simplify: √32

Q16 [Easy]: If the diameter of a circle is 14 cm, what is its area?

Q17 [Easy]: A man sells a product at a 10% loss. If the cost price is ₹200, what is the selling price?

Q18 [Easy]: Evaluate: log₁₀(1)

Q19 [Easy]: Find the volume of a cuboid of dimensions 5 cm × 4 cm × 3 cm.

Q20 [Easy]: How many ways can 4 people be seated in a row?

Q21 [Easy]: Find the sum and product of the roots of x² + 7x + 12 = 0.

Q22 [Easy]: In a triangle, the lengths of the two legs are 6 cm and 8 cm. Find the hypotenuse.

Q23 [Easy]: A car covers 180 km in 3 hours. What is its average speed?

Q24 [Easy]: Solve for x: 4x + 5 = 2x + 15

Q25 [Easy]: Find the HCF of 60 and 72.

Q26 [Easy]: If log₂(x) = 3, what is the value of x?

Q27 [Easy]: How many ways can a team of 3 be selected from 5 people?

Q28 [Easy]: In a right triangle, legs are 9 cm and 12 cm. Find the hypotenuse.

Q29 [Easy]: An article is bought for ₹250 and sold for ₹300. What is the profit percentage?

Q30 [Easy]: If 5x − 3 = 2x + 6, find x.

Q31 [Easy]: What is the sum of interior angles of a hexagon?

Q32 [Easy]: Simplify: log₁₀(1000)

Q33 [Easy]: Find the perimeter of a rectangle of length 10 cm and width 6 cm.

Q34 [Easy]: Factorize: x² − 9

Q35 [Easy]: Find the sum of digits of the number 2⁶.

Q36 [Easy]: Find the area of a circle with radius 7 cm.

Q37 [Easy]: Simplify: (2³)²

Q38 [Easy]: What is the volume of a cube with side 5 cm?

Q39 [Easy]: Find the SI on ₹5000 at 6% per annum for 3 years.

Q40 [Easy]: Solve the inequality: 3x − 7 < 11

Q41 [Medium]: How many ways can 3 people be arranged in a line out of 5 people?

Q42 [Medium]: The average of five consecutive even numbers is 36. What is the smallest number?

Q43 [Medium]: How many factors does 120 have?

Q44 [Medium]: The HCF and LCM of two numbers are 12 and 240 respectively. If one of the numbers is 60, what is the other?

Q45 [Medium]: What is the surface area of a cube with side 6 cm?

Q46 [Medium]: In what ratio should two varieties of rice costing ₹60/kg and ₹80/kg be mixed to get a mixture worth ₹70/kg?

Q47 [Medium]: Simplify: √50 + √18

Q48 [Medium]: How many even factors does 120 have?

Q49 [Medium]: Two coins are tossed. What is the probability of getting exactly one head?

Q50 [Medium]: A and B together can do a job in 6 days. B alone can do it in 10 days. How long will A alone take?

Q51 [Medium]: If an article is sold at ₹750 with a 25% gain, what is the cost price?

Q52 [Medium]: The HCF of two numbers is 8 and their product is 640. What is their LCM?

Q53 [Medium]: A number is chosen randomly from 1 to 10. What is the probability it is a prime?

Q54 [Medium]: How many 3-digit numbers can be formed using digits 1, 2, 3, 4, 5 without repetition?

Q55 [Medium]: Find the volume of a cylinder with radius 3 cm and height 7 cm.

Q56 [Medium]: How many liters of water must be added to 30 liters of milk to make a mixture in the ratio 3:2 (milk:water)?

Q57 [Medium]: The average weight of 5 people is 62 kg. If one new person joins and the average becomes 64 kg, what is the weight of the new person?

Q58 [Medium]: If f(x) = x³ − 6x² + 11x − 6, then which of the following is a root of the polynomial?

Q59 [Medium]: Two dice are thrown. What is the probability that the sum is 7?

Q60 [Medium]: Compound interest on ₹10,000 for 2 years at 10% p.a. compounded annually is:

Q61 [Medium]: Find the circumference of a circle with radius 4.2 cm.

Q62 [Medium]: If a:b = 2:3 and b:c = 4:5, what is a:c?

Q63 [Medium]: An equilateral triangle has a side length of 6 cm. Find its area.

Q64 [Medium]: If A is 25% more than B, then B is what percent less than A?

Q65 [Medium]: In how many ways can a committee of 2 men and 2 women be formed from 4 men and 5 women?

Q66 [Medium]: A can do a work in 12 days, B in 16 days. Working together, how many days will they take?

Q67 [Medium]: Simplify: √50 + √18

Q68 [Medium]: Find the time if ₹500 amounts to ₹620 at 6% SI.

Q69 [Medium]: Average of 5 numbers is 60. If one number is removed, the new average is 55. What is the removed number?

Q70 [Medium]: The LCM of two numbers is 120 and their HCF is 6. If one number is 30, what is the other?

Q71 [Medium]: Solve the equation: x² − 5x + 6 = 0

Q72 [Medium]: How many 3-letter words can be formed from A, B, C, D without repetition?

Q73 [Medium]: A and B can complete a job in 10 days. A alone can do it in 15 days. In how many days can B alone do it?

Q74 [Medium]: A train travels 120 km at 40 km/h and returns at 60 km/h. What is the average speed?

Q75 [Medium]: A card is drawn from a standard deck of 52. Find the probability it is a face card.

Q76 [Medium]: C alone can complete a task in 12 days. D can do it in 18 days. Working together, how long will they take?

Q77 [Medium]: Find the area of a trapezium with parallel sides 8 cm and 12 cm, and height 5 cm.

Q78 [Medium]: A 60-liter mixture contains milk and water in ratio 2:1. How much water must be added to make the ratio 1:1?

Q79 [Medium]: Which of the following numbers is divisible by 11?

Q80 [Difficult]: If the ratio of two numbers is 3:4 and their sum is 112, what is the smaller number?

Q81 [Difficult]: What is the circumference of a circle with area 154 cm²?

Q82 [Difficult]: In a group of 100 students, 60 like coffee and 45 like tea. If 25 like both, how many like neither?

Q83 [Difficult]: If (x − 2) is a factor of x³ − 7x + 6, find the value of the polynomial at x = 2.

Q84 [Difficult]: What is the smallest number divisible by 12, 18 and 30?

Q85 [Difficult]: The compound interest on ₹10,000 at 10% p.a. for 2 years is:

Q86 [Difficult]: If log₁₀(1000) = x, find x.

Q87 [Difficult]: A can complete a work in 10 days and B in 15 days. How long will they take together?

Q88 [Difficult]: What is the distance between points A(3, 4) and B(0, 0)?

Q89 [Difficult]: In how many ways can the letters of the word 'MANGO' be arranged?

Q90 [Difficult]: Find the roots of x² − 5x + 6 = 0.

Q91 [Difficult]: If the price of a product increases from ₹200 to ₹250, what is the percentage increase?

Q92 [Difficult]: In a right-angled triangle, hypotenuse = 13 cm and one side = 5 cm. Find the other side.

Q93 [Difficult]: A train travels at 60 km/h. How long will it take to cover 180 km?

Q94 [Difficult]: What is the remainder when 25 is divided by 7?

Q95 [Difficult]: A card is drawn at random from a standard deck. What is the probability that it is a spade?

Q96 [Difficult]: Pipe A fills a tank in 4 hrs and Pipe B in 6 hrs. Together, how long will they take?

Q97 [Difficult]: If x + 3 > 5, then which of the following is true?

Q98 [Difficult]: What is the area of a triangle with base 10 cm and height 12 cm?

Q99 [Difficult]: The average of five numbers is 30. If one number is 20, what is the average of the other four?

Q100 [Difficult]: What is the remainder when 7^103 is divided by 6?