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$\frac{1}{\log_a b} \times \frac{1}{\log_b c} \times \frac{1}{\log_c a}$ is equal to
Aptitude Logarithm Difficulty: Easy
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If $x = 5 + 2\sqrt{6}$, then $\frac{(x - 1)}{\sqrt{x}}$ is equal to
Aptitude Surds and Indices Difficulty: Medium
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$$ (64)^{-\frac{1}{2}} - (-32)^{-\frac{4}{5}} = $$ $x$
Aptitude Surds and Indices Difficulty: Medium
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Directions : Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the question. Read both the statements and choose the appropriate option.
How old is C now?
I. Three years ago, the average of A and B was 18 years.
II. With C joining them now, the average becomes 22 years.
Aptitude Problems on Ages Difficulty: Medium
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Directions : Each of the questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both the statements and
Give answer (a) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question;
Give answer (b) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question;
Give answer (c) if the data either in Statement I or in Statement II alone are sufficient to answer the question;
Give answer (d) if the data even in both Statements I and II together are not sufficient to answer the question;
Give answer (e) if the data in both Statements I and II together are necessary to answer the question.
What is the value of the two-digit number?
I. The product of the digits is 72 and the difference between the digits is 1.
II. The digit at the unit place is greater than the other.
Aptitude Problems on Numbers Difficulty: Easy
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The difference between a number and its three-fifths is $50$. What is the number?
Aptitude Problems on Numbers Difficulty: Easy
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The average of 11 players of a cricket team is decreased by 2 months when two of them aged 17 years and 20 years are replaced by two new players. The average age of the new players is
Aptitude Average Difficulty: Medium
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A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and $x$. He found the mean to be 12. What should be the number in place of $x$?
Aptitude Average Difficulty: Medium
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A mobile company offered to pay the Indian Cricket Team as much money per run scored by the side as the total number it gets in a one-dayer against Australia.
Which one of the following cannot be the total amount to be spent by the company in this deal?
Aptitude Square Root and Cube Root Difficulty: Easy
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If $2 * 3 = \sqrt{13}$ and $3 * 4 = 5$, then the value of $5 * 12$ is
Aptitude Square Root and Cube Root Difficulty: Easy
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The square root of $$\frac{(0.75)^3}{1 - 0.75} + [0.75 + (0.75)^2 + 1]$$ is
Aptitude Square Root and Cube Root Difficulty: Medium
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The value of $$\sqrt{\frac{(0.03)^2 + (0.21)^2 + (0.065)^2}{(0.003)^2 + (0.021)^2 + (0.0065)^2}}$$ is
Aptitude Square Root and Cube Root Difficulty: Medium
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Study the following information carefully to answer these questions:
A young girl Roopa leaves home with $x$ flowers and goes to the bank of a nearby river. On the bank of the river, there are four places of worship, standing in a row. She dips all the $x$ flowers into the river, the number of flowers doubles. Then, she enters the first place of worship and offers $y$ flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the second place of worship and offers $y$ flowers to the deity. She dips the remaining flowers into the river and again the number of flowers doubles. She goes to the third place of worship and offers $y$ flowers to the deity. She dips the remaining flowers into the river and again the number of flowers doubles. She goes to the fourth place of worship and offers $y$ flowers to the deity. Now she is left with no flowers in hand.
If Roopa leaves home with 30 flowers, the number of flowers she offers to each deity is
Aptitude Simplification Difficulty: Medium
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The value of
$$\frac{(x - y)^3 + (y - z)^3 + (z - x)^3}{(x^2 - y^2)^3 + (y^2 - z^2)^3 + (z^2 - x^2)^3}$$
is
Aptitude Simplification Difficulty: Hard
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The value of $\frac{3}{1^2 \cdot 2^2} + \frac{5}{2^2 \cdot 3^2} + \frac{7}{3^2 \cdot 4^2} + \frac{9}{4^2 \cdot 5^2} + \frac{11}{5^2 \cdot 6^2} + \frac{13}{6^2 \cdot 7^2} + \frac{15}{7^2 \cdot 8^2} + \frac{17}{8^2 \cdot 9^2} + \frac{19}{9^2 \cdot 10^2}$ is
Aptitude Simplification Difficulty: Hard
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If $2x^2 + 12x + 18 = 0$, what is the value of $x$?
Aptitude Simplification Difficulty: Easy
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The cost of 6 pens and 3 pencils is ₹ 84. One-third of the cost of one pen is equal to the cost of one pencil. What is the total cost of 4 pens and 5 pencils?
Aptitude Simplification Difficulty: Easy
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Express $0.29\overline{56}$ in the form $\frac{p}{q}$ (vulgar fraction)
Aptitude Decimal Fraction Difficulty: Medium
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The H.C.F. of $204$, $1190$ and $1445$ is
Aptitude HCF and LCM Difficulty: Medium
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The number of three digit numbers which are multiples of 9 are
Aptitude Number System Difficulty: Easy
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If $37X3$ is a four-digit natural number divisible by 7, then the place marked as $X$ must have the value
Aptitude Number System Difficulty: Easy
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How many of the following numbers are divisible by 3 but not by 9?
2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276
Aptitude Number System Difficulty: Easy
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In a market research project, 20% opted for Nirma detergent whereas 60% opted for Surf Blue detergent. The remaining individuals were not certain. If the difference between those who opted for Surf Blue and those who were uncertain was 720, how many respondents were covered in the survey?
Aptitude Percentage Difficulty: Medium
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One-fourth of sixty percent of a number is equal to two-fifths of twenty percent of another number. What is the respective ratio of the first number to the second number?
Aptitude Percentage Difficulty: Medium
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If ₹ 2800 is $\frac{2}{7}$ percent of the value of a house, the worth of the house (in ₹) is
Aptitude Percentage Difficulty: Medium