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Directions: Study the following table carefully and answer the questions that follow: Number of Candidates (in lakhs) Appearing In an Entrance Examination From Six Different Cities | City | A | B | C | D | E | F | | :--- | :--- | :--- | :--- | :--- | :--- | :--- | | **Number of candidates** | 1.25 | 3.14 | 1.08 | 2.27 | 1.85 | 2.73 | Ratio of Candidates Passing And Failing Within the City | City | Ratio of Passing and Failing | | :--- | :--- | | **A** | 7 : 3 | | **B** | 5 : 3 | | **C** | 4 : 5 | | **D** | 1 : 3 | | **E** | 3 : 2 | | **F** | 7 : 5 | The number of candidates appearing for the exam from City $C$ is what per cent of the number of candidates appearing for the exam from City $B$ ? (rounded off to nearest integer)
Aptitude Statistics Difficulty: Medium
31 Oct 2026
A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many different ways can this be done, if the committee should have 4 professors and 1 research associate or all 3 trainees and 2 professors?
Aptitude Permutation and Combination Difficulty: Medium
31 Oct 2026
The volume of a sphere of radius $r$ is obtained by multiplying its surface area by
Aptitude Volume and Surface Area Difficulty: Easy
31 Oct 2026
A right cylindrical vessel is full of water. How many right cones having the same radius and height as those of the right cylinder will be needed to store that water?
Aptitude Volume and Surface Area Difficulty: Easy
31 Oct 2026
A circle, a square and an equilateral triangle have the same area. The correct increasing order of the perimeters will be
Aptitude Area Difficulty: Medium
31 Oct 2026
If the height of a triangle is decreased by 40% and its base is increased by 40%, what will be the effect on its area?
Aptitude Area Difficulty: Easy
31 Oct 2026
The area of a square is three-fifths the area of a rectangle. The length of the rectangle is 25 cm and its breadth is 10 cm less than its length. What is the perimeter of the square?
Aptitude Area Difficulty: Medium
31 Oct 2026
Directions : Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. What is the speed of the train? (M.B.A., 2002) I. The train crosses 300 metres long platform in 21 seconds. II. The train crosses another stationary train of equal length in $19\frac{1}{2}$ seconds. III. The train crosses a signal pole in $9\frac{3}{4}$ seconds.
Verbal Reasoning Data Sufficiency Difficulty: Medium
31 Oct 2026
Two friends P and Q started a business investing in the ratio of 5 : 6. R joined them after six months investing an amount equal to that of Q's. At the end of the year, 20% profit was earned which was equal to ₹ 98,000. What was the amount invested by R?
Aptitude Partnership Difficulty: Hard
31 Oct 2026
The ratio of the number of boys and girls in a school of 720 students is 7 : 5. How many more girls should be admitted to make the ratio 1 : 1? (P.C.S., 2009)
Aptitude Ratio and Proportion Difficulty: Easy
31 Oct 2026
A sum of money is divided among $A$, $B$, $C$ and $D$ in the ratio of $3 : 4 : 9 : 10$ respectively. If the share of $C$ is ₹ 2580 more than the share of $B$, then what is the total amount of $A$ and $D$ together?
Aptitude Ratio and Proportion Difficulty: Medium
31 Oct 2026
Two numbers are respectively 20 percent and 50 percent more than a third number. These two numbers are in the ratio
Aptitude Ratio and Proportion Difficulty: Easy
31 Oct 2026
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. By selling a product with $20\%$ profit, how much profit was earned? I. The difference between cost and selling price is $₹ 40$. II. The selling price is 120 percent of the cost price.
Verbal Reasoning Data Sufficiency Difficulty: Easy
31 Oct 2026
Even after reducing the marked price of a transistor by ₹ 32, a shopkeeper makes a profit of 15%. If the cost price be ₹ 320, what percentage of profit would he have made if he had sold the transistor at the marked price?
Aptitude Profit and Loss Difficulty: Medium
31 Oct 2026
The value of $\left[ \frac{1}{\log_{(p/q)} x} + \frac{1}{\log_{(q/r)} x} + \frac{1}{\log_{(r/p)} x} \right]$ is
Aptitude Logarithm Difficulty: Easy
31 Oct 2026
If $\log_2 [\log_3 (\log_2 x)] = 1$, then $x$ is equal to :
Aptitude Logarithm Difficulty: Medium
31 Oct 2026
If $2^{n-1} + 2^{n+1} = 320$, then $n$ is equal to
Aptitude Surds and Indices Difficulty: Easy
31 Oct 2026
If the average of $m$ numbers is $n^2$ and that of $n$ numbers is $m^2$, then the average of $(m + n)$ numbers is
Aptitude Average Difficulty: Medium
31 Oct 2026
The following table shows the number of working hours and the number of employees employed in a small scale industry. No. of working hours | No. of employees $3 - 5$ | $7$ $5 - 7$ | $10$ $7 - 9$ | $18$ $9 - 11$ | $57$ $11 - 13$ | $14$ $13 - 15$ | $8$ The average number of working hours of an employee is
Aptitude Average Difficulty: Medium
31 Oct 2026
In a class of 25 students, 12 have taken Mathematics, 8 have taken Mathematics but not Biology. The number of students who have taken both Mathematics and Biology is
Aptitude Simplification Difficulty: Easy
31 Oct 2026
180 oranges are distributed among 70 boys and girls such that each boy gets 2 and each girl gets 3 oranges. The number of boys are
Aptitude Simplification Difficulty: Easy
31 Oct 2026
The simplified value of $$ \frac{\left(1 + \frac{1}{1 + \frac{1}{100}}\right)\left(1 + \frac{1}{1 + \frac{1}{100}}\right) - \left(1 - \frac{1}{1 + \frac{1}{100}}\right)\left(1 - \frac{1}{1 + \frac{1}{100}}\right)}{\left(1 + \frac{1}{1 + \frac{1}{100}}\right) + \left(1 - \frac{1}{1 + \frac{1}{100}}\right)} $$ is
Aptitude Simplification Difficulty: Medium
31 Oct 2026
A class starts at 10 a.m. and lasts till 1.27 p.m. Four periods are held during this interval. After every period, 5 minutes are given free to the students. The exact duration of each period is
Aptitude Simplification Difficulty: Medium
31 Oct 2026
The cost of one pencil, two pens and four erasers is ₹ 22 while the cost of five pencils, four pens and two erasers is ₹ 32. How much will three pencils, three pens and three erasers cost?
Aptitude Simplification Difficulty: Medium
31 Oct 2026
If $2994 \div 14.5 = 172$, then $29.94 \div 1.45 = x$
Aptitude Decimal Fraction Difficulty: Easy
31 Oct 2026

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