A student scored 72% in an exam that had 150 marks. How many marks did the student obtain?
Quantitative Aptitude
Question · Easy
Cruise the loop: a log is an exponent
Short
A trader marks goods 25% above cost and then allows a 12% discount. What is the profit percentage?
If a:b = 3:4 and b:c = 5:6, what is a:c?
Question · Medium
A train 200 metres long crosses a 400 metre bridge at a speed of 72 km/h. How many seconds does it take?
What is the simple interest on INR 18,000 at 6% per annum for 4 years?
A can complete a piece of work in 12 days and B in 15 days. How many days will they take working together?
The average of five numbers is 42. Four of them are 38, 45, 41 and 39. What is the fifth number?
The difference between compound interest and simple interest on a sum for 2 years at 10% per annum is INR 120. What is the principal?
A 40-litre mixture contains milk and water in the ratio 3:1. How many litres of water must be added to make the ratio of milk to water 2:3?
What is the unit digit of 2^2026?
The HCF of two numbers is 12 and their LCM is 360. If one number is 60, what is the other number?
If x + 1/x = 5, what is the value of x² + 1/x²?
The roots of x² − 7x + 12 = 0 are 3 and 4. What is the sum of the squares of the roots?
A right circular cylinder with radius 6 cm and height 8 cm is melted and recast into a sphere. What is the radius of the sphere?
What is the distance between the points (2, −3) and (5, 1)?
How many 3-letter codes can be formed using the letters A, B, C, D, E without repetition?
Two fair dice are rolled. What is the probability that the product of the numbers is odd?
What is the remainder when 3^50 is divided by 5?
In a triangle with sides 13, 14 and 15, what is the area?
Question · Hard
If 2^x = 3^y = 6^z and x, y, z are non-zero, what is the value of 1/x + 1/y?
A man spends 30% of his income on rent and 20% of the remaining on food. If he saves INR 28,000, what is his monthly income?
A and B have incomes in the ratio 4:5. A spends 30% of income and B spends 40% of income. What is the ratio of their savings?
A car travels 240 km in 4 hours and returns in 6 hours. What is the average speed for the entire journey?
A pipe can fill a tank in 8 hours and another pipe can empty it in 12 hours. If both are opened together, how long will it take to fill the empty tank?
In how many ways can 5 people be seated in a row if two particular people must not sit together?
A card is drawn from a standard 52-card deck. What is the probability that it is a face card or a diamond?
If 3x − 7 = 14, then x is?
What is the 10th term of an arithmetic progression whose first term is 3 and common difference is 4?
If f(x) = 2x + 3 and g(x) = x² − 1, what is f(g(2))?
How many factors of 72 are perfect squares?
If 20% of x is 40, then x is?
A sum amounts to INR 8,820 in 2 years and INR 9,261 in 3 years at compound interest. What is the rate of interest?
A circle is inscribed in a square of side 14 cm. What is the area of the region between the square and the circle?
Which of the following is a prime number?
A vessel has 60 litres of milk. 12 litres is removed and replaced with water. If 12 litres of the mixture is again removed and replaced with water, what is the amount of milk left?
If the sum of the roots of x² + kx + 12 = 0 is 7, what is the product of the roots?
What is the midpoint of the line segment joining the points (-4, 6) and (2, -2)?
If 8 workers can build a wall in 10 days, how many days will 5 workers take?
Three coins are tossed. What is the probability of getting at least two heads?
A shopkeeper allows a 20% discount and still earns 20% profit. If the marked price is INR 1,200, what is the cost price?
If log₂ x = 3 and log₂ y = 5, what is log₂ (xy)?
What is the LCM of 8, 12 and 15?
The sides of a triangle are 5, 12 and 13. What is the radius of its circumcircle?
In a class of 50 students, 30 study Mathematics, 25 study Physics and 10 study both. How many study neither?
How many diagonals are there in a decagon?
If the price of sugar increases by 25%, by what percentage should consumption decrease to keep the expenditure the same?
Divide INR 1,200 in the ratio 3:5. What is the smaller part?
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