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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 |
What is the ratio of the number of candidates failing the exam from City $D$ to that of those failing the exam from City $A$ ?
Aptitude Statistics 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 given 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 height of a circular cone?
I. The area of that cone is equal to the area of a rectangle whose length is 33 cm.
II. The area of the base of that cone is 154 sq. cm.
Verbal Reasoning Data Sufficiency Difficulty: Medium
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The radii of two cones are in the ratio $2 : 1$, their volumes are equal. Find the ratio of their heights.
Aptitude Volume and Surface Area Difficulty: Easy
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Diameter of a jar cylindrical in shape is increased by 25%. By what percent must the height be decreased so that there is no change in its volume?
Aptitude Volume and Surface Area Difficulty: Medium
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The base of triangle is 15 cm and height is 12 cm. the height of another triangle of double the area having base 20cm is
Aptitude Area Difficulty: Easy
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A man gets a simple interest of ₹ 1000 on a certain principal at the rate of 5 p.c.p.a. in 4 years. What compound interest will the man get on twice the principal in 2 years at the same rate?
Aptitude Compound Interest Difficulty: Medium
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One quality of wheat at ₹ 9.30 per kg is mixed with another quality at a certain rate in the ratio 8 : 7. If the mixture so formed be worth ₹ 10 per kg, what is the rate per kg of the second quality of wheat ?
Aptitude Alligation or Mixture Difficulty: Easy
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A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days ?
Aptitude Time and Work Difficulty: Medium
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A manufacturer builds a machine which will address 500 envelopes in 8 minutes. He wishes to build another machine so that when both are operating together they will address 500 envelopes in 2 minutes. The equation used to find how many minutes $x$ it would require the second machine to address 500 envelopes alone, is
Aptitude Time and Work Difficulty: Easy
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A tap can completely fill a water tank in $8$ hours. The water tank has a hole in it through which the water leaks out. The leakage will cause the full water tank to get empty in $12$ hours. How much time will it take for the tap to fill the tank completely with the hole?
Aptitude Pipes and Cistern Difficulty: Easy
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A pipe can fill a tank in $x$ hours and another pipe can empty it in $y$ ($y > x$) hours. If both the pipes are open, in how many hours will the tank be filled?
Aptitude Pipes and Cistern Difficulty: Medium
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A, B and C enter into a partnership. A initially invests ₹ 25 lakhs and adds another ₹ 10 lakhs after one year. B initially invests ₹ 35 lakhs and withdraws ₹ 10 lakhs after 2 years and C invests ₹ 30 lakhs. In what ratio should the profits be divided at the end of 3 years?
Aptitude Partnership Difficulty: Medium
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Three numbers A, B and C are in the ratio 1 : 2 : 3. Their average is 600. If A is increased by 10% and B is decreased by 20%, then to get the average increased by 5%, C will be increased by
Aptitude Ratio and Proportion Difficulty: Hard
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A sum of ₹ 6400 is divided among three workers in the ratio $\frac{3}{5} : 2 : \frac{5}{3}$. The share (in rupees) of the second worker is
(S.S.C., 2007)
Aptitude Ratio and Proportion Difficulty: Easy
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Hemant sold $10$ sarees for a total profit of ₹ $460$ and $12$ sarees for a total profit of ₹ $144$. At what profit per saree should he sell the remaining $20$ sarees so that he gets an average profit of ₹ $18$ per saree?
Aptitude Profit and Loss Difficulty: Medium
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A property dealer sells a house for ₹ 6,30,000 and in the bargain makes a profit of $5\%$. Had he sold it for ₹ 5,00,000, then what percentage of loss or gain he would have made?
Aptitude Profit and Loss Difficulty: Medium
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The value of a machine depreciates at the rate of 12 percent per annum. It was purchased three years ago. Its present value is ₹ 29644.032. What was the purchase price of the machine?
Aptitude Percentage Difficulty: Hard
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What percent of $7.2$ kg is $18$ gms?
Aptitude Percentage Difficulty: Easy
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If $\log_8 x + \log_8 \frac{1}{6} = \frac{1}{3}$, then the value of $x$ is
Aptitude Logarithm Difficulty: Easy
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If $a, b, c, d, e$ are five consecutive odd numbers, their average is
Aptitude Average Difficulty: Medium
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What is the remainder when $4^{96}$ is divided by 6?
Aptitude Simplification Difficulty: Easy
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How many $\frac{1}{8}$s are there in $37\frac{1}{2}$?
Aptitude Simplification Difficulty: Easy
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The number nearest to 43582 divisible by each of 25, 50 and 75 is
Aptitude HCF and LCM Difficulty: Medium
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Product of two co-prime numbers is 117. Their L.C.M. should be
Aptitude HCF and LCM Difficulty: Easy
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If the seven-digit number $876p37q$ is divisible by 225, then the values of $p$ and $q$ respectively are
Aptitude Number System Difficulty: Medium