If 15 men can complete a piece of work in 24 days, how many days will 20 men take to complete the same work, assuming all work at the same rate?
General Aptitude
Question · Easy
More hands, fewer days
Short
The mean of 10 numbers is 25. If one number which was incorrectly recorded as 32 is corrected to 23, what is the new mean?
A train travels the first half of a journey at 60 km/h and the second half at 90 km/h. What is its average speed over the entire trip?
Question · Medium
In a class of 60 students, 35 study Physics, 30 study Chemistry, and 12 study both. How many students study neither subject?
A solution contains 20% salt by mass. How much water must be added to 500 g of this solution to reduce the salt concentration to 8%?
Replaced by Uracil
A sum of money doubles itself in 8 years at simple interest. In how many years will it triple at the same rate?
Find the next number in the series: 2, 6, 12, 20, 30, ?
A bag contains 4 red and 6 blue balls. Two balls are drawn at random without replacement. What is the probability that both are blue?
The price of a commodity rose by 25% and then fell by 20%. What is the net percentage change in price?
Stats test: find the median
In a row of children facing north, Ravi is 7th from the left and Suresh is 12th from the right. After they exchange positions, Ravi becomes 22nd from the left. How many children are in the row?
A bar chart shows monthly sales (₹ lakh): Jan 40, Feb 50, Mar 60, Apr 30, May 70. What is the percentage increase in sales from April to May?
Data Interpretation
If a population grows exponentially and doubles every 20 years, by what factor will it grow in 60 years?
A regular hexagon has side length 4 cm. What is its area?
Choose the word that does NOT belong with the others: Felsic, Mafic, Igneous, Granitic.
A graph plots y = log(x). As x increases from 1 to 100, by how much does y increase (using base 10)?
Two pipes A and B fill a tank in 12 and 18 minutes respectively. If both are opened together, how long will they take to fill the tank?
If A:B = 2:3 and B:C = 4:5, what is A:B:C?
Statement: All mammals are warm-blooded. All whales are mammals. Which conclusion definitely follows?
A cube has surface area 96 cm². What is its volume?
Five samples have masses 12.4, 12.6, 12.5, 12.3, and 12.7 g. What is the standard deviation (population) of the data set?
Question · Hard
A clock shows 3:15. What is the angle between the hour and minute hands at this time?
In a pie chart of annual budget (₹100 crore), Education = 25%, Health = 20%, Defence = 30%, and others combined = 25%. What is the central angle for Defence?
Four researchers P, Q, R, S sit in a row. P is not at either end. Q is to the immediate left of R. S is at the right end. Who is at the left end?
Solve for x: 2^(x+1) = 32.
A solute has dissociation constant Ka = 1 × 10⁻⁵. What is the pH of a 0.01 M solution of this weak acid, assuming the small-x approximation?
Chemical Sciences
Choose the correctly spelled scientific term:
Find the median of the data set: 14, 9, 22, 7, 18, 11, 25.
Two trains 200 m and 150 m long run on parallel tracks in opposite directions at 60 km/h and 30 km/h. How long do they take to cross each other completely?
The graph of y = 1/x in the first quadrant shows what kind of curve?
A scientist observes 80 successful results in 100 trials. The 95% confidence interval for the success probability (using normal approximation) is approximately:
A research lab spends 40% of its grant on equipment, 30% on salaries, 20% on consumables, and the rest on overheads. If overheads cost ₹2 lakh, what is the total grant?
Choose the analogy that best matches: 'Microscope is to Cell as Telescope is to ___'.
A car covers 360 km in 6 hours. If it covers the first 240 km at 60 km/h, at what speed must it cover the remaining 120 km to maintain its average?
If today is Wednesday, what day of the week will it be 100 days from today?
A scientific instrument's reading drifts by +0.2% each day. After 10 days of operation, by approximately what percentage has it drifted (compounded)?
How many distinct 3-letter codes (no letter repeated) can be formed from the letters of the word 'CAUSAL'? (Treat repeated letters as identical.)
In a histogram of plant heights, class intervals are 0–10, 10–20, 20–30, 30–40, 40–50 cm with frequencies 5, 10, 18, 12, 5. What is the modal class?
A pendulum has period T = 2π√(L/g). If its length is increased by 21%, by what percentage does its period change?
Physical Sciences
Identify the odd one out: Mitochondria, Chloroplast, Ribosome, Nucleus.
Life Sciences
A father is three times as old as his son. After 12 years, he will be twice as old. What is the son's current age?
If the radius of a sphere increases by 10%, by approximately what percentage does its volume increase?
If sin θ = 3/5 and θ is acute, what is the value of tan θ?
Which inequality is equivalent to |x − 3| < 5?
A bacterial population doubles every 30 minutes. Starting with 100 cells, how many cells are there after 3 hours?
A line graph shows temperatures (°C): Mon 22, Tue 25, Wed 19, Thu 24, Fri 27. Which day shows the largest day-over-day increase?
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