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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
19 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 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
19 Oct 2026
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
19 Oct 2026
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
19 Oct 2026
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
19 Oct 2026
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
19 Oct 2026
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
19 Oct 2026
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
19 Oct 2026
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
19 Oct 2026
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
19 Oct 2026
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
19 Oct 2026
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
19 Oct 2026
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
19 Oct 2026
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
19 Oct 2026
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
19 Oct 2026
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
19 Oct 2026
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
19 Oct 2026
What percent of $7.2$ kg is $18$ gms?
Aptitude Percentage Difficulty: Easy
19 Oct 2026
If $\log_8 x + \log_8 \frac{1}{6} = \frac{1}{3}$, then the value of $x$ is
Aptitude Logarithm Difficulty: Easy
19 Oct 2026
If $a, b, c, d, e$ are five consecutive odd numbers, their average is
Aptitude Average Difficulty: Medium
19 Oct 2026
What is the remainder when $4^{96}$ is divided by 6?
Aptitude Simplification Difficulty: Easy
19 Oct 2026
How many $\frac{1}{8}$s are there in $37\frac{1}{2}$?
Aptitude Simplification Difficulty: Easy
19 Oct 2026
The number nearest to 43582 divisible by each of 25, 50 and 75 is
Aptitude HCF and LCM Difficulty: Medium
19 Oct 2026
Product of two co-prime numbers is 117. Their L.C.M. should be
Aptitude HCF and LCM Difficulty: Easy
19 Oct 2026
If the seven-digit number $876p37q$ is divisible by 225, then the values of $p$ and $q$ respectively are
Aptitude Number System Difficulty: Medium
19 Oct 2026

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