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$(\log_5 3) \times (\log_3 625)$ equals
Aptitude Logarithm Difficulty: Easy
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$(64x^3 \div 27a^{-3})^{-\frac{2}{3}}$
Aptitude Surds and Indices Difficulty: Medium
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$8^{2.4} \times 2^{3.7} \div (16)^{1.3} = 2^{x}$
Aptitude Surds and Indices Difficulty: Easy
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A number whose fifth part increased by 4 is equal to its fourth part diminished by 10, is
Aptitude Problems on Numbers Difficulty: Medium
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A batsman makes a score of $84$ runs in the 21st inning and thus increases his average by $2$ runs. His average after 21st inning is
Aptitude Average Difficulty: Easy
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In a group of $120$ people, one-fifth are men, one-fourth are women and the rest children. The average age of women is five-sixth of the average age of men. Average age of children is one-fourth of the average age of men. If average age of men is $60$ years, what is the average age of the group?
Aptitude Average Difficulty: Medium
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The average of 7 consecutive numbers is 20.
The largest of these numbers is
Aptitude Average Difficulty: Easy
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In a family, the average age of a father and a mother is 35 years. The average age of the father, mother and their only son is 27 years. What is the age of the son?
Aptitude Average Difficulty: Medium
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The smallest perfect square that is divisible by $7!$ is
Aptitude Square Root and Cube Root Difficulty: Medium
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Mr. Shah decided to walk down the escalator of a tube station. He found that if he walks down 26 steps, he requires 30 seconds to reach the bottom. However, if he steps down 34 stairs he would only require 18 seconds to get to the bottom.
If the time is measured from the moment the top step begins to descend to the time he steps off the last step at the bottom, find out the height of the stairway in steps.
Aptitude Simplification Difficulty: Hard
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A squirrel starts climbing up a tree at the speed of 6 metres a minute but after every 6 metres it slips down 4 metres in the next minute. It will be able to reach the top 120 metres high in
Aptitude Simplification Difficulty: Medium
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If $x = y = 2z$ and $xyz = 256$, then $x$ is equal to
Aptitude Simplification Difficulty: Medium
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$$6\frac{9}{13} - 4\frac{4}{11} + 2\frac{2}{5} = x$$
Aptitude Simplification Difficulty: Hard
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If $A + B = 96$ and $A$ is half of $B$, then the value of $A$ will be
Aptitude Simplification Difficulty: Easy
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$\frac{1}{0.04}$ is equal to
Aptitude Decimal Fraction Difficulty: Easy
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The number $518,000,000$ when expressed in scientific notation, equals
Aptitude Decimal Fraction Difficulty: Easy
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$11.71 - 0.86 + 1.78 - 9.20 = $ $x$
Aptitude Decimal Fraction Difficulty: Easy
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The smallest fraction, which each of 6/7, 5/14, 10/21 will divide exactly is
Aptitude HCF and LCM Difficulty: Easy
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The greatest number which can divide 1356, 1868 and 2764 leaving the same remainder 12 in each case is
Aptitude HCF and LCM Difficulty: Medium
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The H.C.F. of two numbers is 8. Which one of the following can never be their L.C.M.?
Aptitude HCF and LCM Difficulty: Easy
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When the square of any odd number, greater than 1, is divided by $8$, it always leaves remainder
Aptitude Number System Difficulty: Easy
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How many numbers less than 1000 are multiples of both 10 and 13?
Aptitude Number System Difficulty: Easy
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In an examination, $65\%$ of the total examinees passed. If the number of failures is $420$, the total number of examinees is
Aptitude Percentage Difficulty: Easy
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40% of 60% of 32% of an amount is ₹ 432. What is the amount?
Aptitude Percentage Difficulty: Medium
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The following table gives the income distribution of 200 households of a village:
| Monthly Income (in ₹) | Number of Households |
| :--- | :---: |
| < 1000 | 25 |
| < 2000 | 80 |
| < 5000 | 170 |
| < 10000 | 200 |
What is the percentage of households whose monthly income is above ₹ 2000 but below ₹ 5000?
Aptitude Percentage Difficulty: Medium