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Latest Questions

Three circles of radius $3.5\text{ cm}$ are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is
Aptitude Area Difficulty: Hard
27 Aug 2026
The areas of two equilateral triangles are in the ratio 25 : 36. Their altitudes will be in the ratio
Aptitude Area Difficulty: Easy
27 Aug 2026
A rectangular garden ($60\text{ m} \times 40\text{ m}$) is surrounded by a road of width 2 m, the road is covered by tiles and the garden is fenced. If the total expenditure is ₹ 51600 and rate of fencing is ₹ 50 per metre, then the cost of covering 1 sq. m of road by tiles is (Hotel Management, 2007)
Aptitude Area Difficulty: Hard
27 Aug 2026
A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is
Aptitude Area Difficulty: Easy
27 Aug 2026
A taperecorder is sold for ₹ 3500 cash, or ₹ 1000 cash down payment and the balance in three equal easy instalments. If $12 \frac{1}{2}\%$ is the rate of interest compounded annually, find the amount of instalment.
Aptitude Compound Interest Difficulty: Hard
27 Aug 2026
A father left a will of ₹ 16400 for his two sons aged 17 and 18 years. They must get equal amounts when they are 20 years, at 5% compound interest. Find the present share of the younger son.
Aptitude Compound Interest Difficulty: Medium
27 Aug 2026
A sum of money at a simple rate of interest $i_1$, doubles in 5 years. At another simple rate of interest $i_2$, it becomes three times in 12 years. Then, the two rates of interest $i_1$ and $i_2$ respectively are
Aptitude Simple Interest Difficulty: Medium
27 Aug 2026
In what ratio must a grocer mix two varieties of pulses costing ₹ 15 and ₹ 20 per kg respectively so as to get a mixture worth ₹ 16.50 per kg ?
Aptitude Alligation or Mixture Difficulty: Easy
27 Aug 2026
Train A leaves Ludhiana for Delhi at 11 a.m, running at the speed of 60 km/hr. Train B leaves Ludhiana for Delhi by the same route at 2 p.m. on the same day, running at the speed of 72 km/hr. At what time will the two trains meet each other?
Aptitude Time and Distance Difficulty: Medium
27 Aug 2026
A salesman travels a distance of 50 km in 2 hours and 30 minutes. How much faster, in kilometres per hour, on an average, must he travel to make such a trip in $\frac{5}{6}$ hour less time?
Aptitude Time and Distance Difficulty: Medium
27 Aug 2026
The speeds of A and B are in the ratio 3 : 4. A takes 20 minutes more than B to reach a destination. In what time does A reach the destination?
Aptitude Time and Distance Difficulty: Medium
27 Aug 2026
A group of workers having equal efficiency can complete a job in 4 days. But it so happened that every alternate day starting from the second day, 3 workers are withdrawn from the job and every alternate day starting from the third day, 2 workers are added to the group. If it now takes 7 days to complete the job, find the number of workers who started the job.
Aptitude Time and Work Difficulty: Hard
27 Aug 2026
On a certain map of India the actual distance of 1450 km between two cities Delhi and Kolkata is shown as 5 cm. What scale is used to draw the map? (A.T.M.A., 2004)
Aptitude Unitary Method Difficulty: Medium
27 Aug 2026
Swati and Rajni enter into a partnership with their capitals in the ratio 5 : 6. At the end of 7 months Swati withdraws her capital. If they receive the profit in the ratio of 5 : 9, find how long was Rajni's capital used.
Aptitude Partnership Difficulty: Medium
27 Aug 2026
What number must be added to each of the numbers 7, 11 and 19 so that the resulting numbers may be in continued proportion?
Aptitude Ratio and Proportion Difficulty: Medium
27 Aug 2026
A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Aptitude Percentage Difficulty: Easy
27 Aug 2026
David and his wife each receives an $8$ percent annual rise. If David receives a raise of ₹ $800$ and his wife receives a raise of ₹ $840$, what is the difference between their annual incomes after their raises?
Aptitude Percentage Difficulty: Medium
27 Aug 2026
If $\log_{10} 5 + \log_{10} (5x + 1) = \log_{10} (x + 5) + 1$, then $x$ is equal to
Aptitude Logarithm Difficulty: Medium
27 Aug 2026
The ratio between the ages of Neelam and Shiny is 5 : 6 respectively. If the ratio between the one-third age of Neelam and half of Shiny's age is 5 : 9, then what is Shiny's age?
Aptitude Problems on Ages Difficulty: Medium
27 Aug 2026
The least perfect square, which is divisible by each of $21$, $36$ and $66$, is
Aptitude Square Root and Cube Root Difficulty: Medium
27 Aug 2026
A sum of ₹ 1360 has been divided among $A$, $B$ and $C$ such that $A$ gets $\frac{2}{3}$ of what $B$ gets and $B$ gets $\frac{1}{4}$ of what $C$ gets. B's share is
Aptitude Simplification Difficulty: Medium
27 Aug 2026
The expression $\frac{(0.1667)(0.8333)(0.3333)}{(0.2222)(0.6667)(0.1250)}$ is approximately equal to
Aptitude Decimal Fraction Difficulty: Medium
27 Aug 2026
$(0.05 \times 6.25) \div 2.5 = x$
Aptitude Decimal Fraction Difficulty: Medium
27 Aug 2026
$999.99 + 99.99 + 9.99 = $ $x$
Aptitude Decimal Fraction Difficulty: Easy
27 Aug 2026
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?
Aptitude HCF and LCM Difficulty: Medium
27 Aug 2026

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