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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
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The areas of two equilateral triangles are in the ratio 25 : 36. Their altitudes will be in the ratio
Aptitude Area Difficulty: Easy
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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If $\log_{10} 5 + \log_{10} (5x + 1) = \log_{10} (x + 5) + 1$, then $x$ is equal to
Aptitude Logarithm Difficulty: Medium
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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
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The least perfect square, which is divisible by each of $21$, $36$ and $66$, is
Aptitude Square Root and Cube Root Difficulty: Medium
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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
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The expression $\frac{(0.1667)(0.8333)(0.3333)}{(0.2222)(0.6667)(0.1250)}$ is approximately equal to
Aptitude Decimal Fraction Difficulty: Medium
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$(0.05 \times 6.25) \div 2.5 = x$
Aptitude Decimal Fraction Difficulty: Medium
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$999.99 + 99.99 + 9.99 = $ $x$
Aptitude Decimal Fraction Difficulty: Easy
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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