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Directions: Study the table carefully and answer the given questions. Total exports of six countries over five years (in ₹ crore) | Years $\rightarrow$ <br> Country $\downarrow$ | 1998 | 1999 | 2000 | 2001 | 2002 | | :--- | :--- | :--- | :--- | :--- | :--- | | P | 20 | 40 | 60 | 45 | 90 | | Q | 30 | 25 | 15 | 50 | 100 | | R | 50 | 55 | 70 | 90 | 65 | | S | 45 | 60 | 20 | 15 | 25 | | T | 60 | 50 | 55 | 100 | 110 | | U | 24 | 40 | 60 | 75 | 120 | Note: Profit = Exports – Imports By what per cent is the average export of country T over all the given years more than the average export of country R over all the given years?
Aptitude Statistics Difficulty: Hard
27 Sep 2026
A speaks truth in 75% cases and B in 80% of the cases. In what percentage of cases are they likely to contradict each other, in narrating the same incident?
Aptitude Probability Difficulty: Medium
27 Sep 2026
In how many different ways can the letters of the word SOFTWARE be arranged in such a way that the vowels always come together?
Aptitude Permutation and Combination Difficulty: Easy
27 Sep 2026
$A$ and $B$ can cover a $200 \text{ m}$ race in $22 \text{ seconds}$ and $25 \text{ seconds}$ respectively. When $A$ finished the race, then $B$ is at what distance from the finishing line?
Aptitude Races and Games Difficulty: Easy
27 Sep 2026
A solid cylinder and a solid cone have equal base and equal height. If the radius and height be in the ratio of $4 : 3$, the ratio of the total surface area of the cylinder to that of the cone is
Aptitude Volume and Surface Area Difficulty: Medium
27 Sep 2026
The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is
Aptitude Compound Interest Difficulty: Medium
27 Sep 2026
A sum of ₹ 10 is lent to be returned in 11 monthly instalments of ₹ 1 each, interest being simple. The rate of interest is :
Aptitude Simple Interest Difficulty: Hard
27 Sep 2026
In what ratio must a grocer mix two varieties of tea worth ₹ 60 a kg and ₹ 65 a kg so that by selling the mixture at ₹ 68.20 a kg he may gain 10%?
Aptitude Alligation or Mixture Difficulty: Medium
27 Sep 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 was the speed of a running train X? I. The relative speed of train X and another train Y running in opposite direction is 160 kmph. II. The train Y crosses a signal post in 9 seconds.
Verbal Reasoning Data Sufficiency Difficulty: Easy
27 Sep 2026
Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is
Aptitude Problems on Trains Difficulty: Medium
27 Sep 2026
Directions: Each of the following questions consists of a question followed by three statements I, II and III. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. In how many days A alone can complete a work? I. A and B can complete the work in 8 days. II. B takes twice the time taken by A in completing the work. III. A and B together take $\frac{1}{3}$ of the time taken by B alone in completing the work.
Aptitude Time and Work Difficulty: Medium
27 Sep 2026
A and B can separately do a piece of work in 20 and 15 days respectively. They worked together for 6 days, after which B was replaced by C. If the work was finished in next 4 days, then the number of days in which C alone could do the work will be
Aptitude Time and Work Difficulty: Medium
27 Sep 2026
Anuj and Manoj can together paint their house in 30 days. After working for 20 days, Anuj has to go out and Manoj finishes the remaining work in the next 30 days. If Manoj had gone away after 20 days instead of Anuj, then Anuj would have completed the remaining work in
Aptitude Time and Work Difficulty: Medium
27 Sep 2026
A large fresh water reservoir is fitted with two types of feeder pipes – hot water pipes and cold water pipes. Six cold water pipes alone can fill the reservoir in 12 hours. 3 cold water pipes and 9 hot water pipes together can fill the reservoir in 8 hours. How long will 5 hot water pipes alone take to fill the reservoir?
Aptitude Pipes and Cistern Difficulty: Hard
27 Sep 2026
If $A : B = \frac{1}{2} : \frac{3}{8}$, $B : C = \frac{1}{3} : \frac{5}{9}$ and $C : D = \frac{5}{6} : \frac{3}{4}$, then the ratio $A : B : C : D$ is
Aptitude Ratio and Proportion Difficulty: Medium
27 Sep 2026
Left pan of a faulty balance weighs $100$ grams more than its right pan. A shopkeeper keeps the weight measure in the left pan while buying goods but keeps it in the right pan while selling his goods. He uses only $1$ kg weight measure. If he sells his goods at the listed cost price, what is his gain? (Civil Services, 2005; Hotel Mgmt, 2007)
Aptitude Profit and Loss Difficulty: Hard
27 Sep 2026
The price of sugar having gone down by 10%, Sharad can buy 6.2 kg more for ₹ 279. The difference between the original and the reduced price (per kg) is
Aptitude Percentage Difficulty: Medium
27 Sep 2026
In the expression $xy^2$, the values of both variables $x$ and $y$ are decreased by 20%. By this, the value of the expression is decreased by
Aptitude Percentage Difficulty: Medium
27 Sep 2026
Mr. X, a businessman had the income in the year 2010, such that he earned a profit of 20% on his investment in the business. In the year 2011, his investment was less by ₹ 5000 but still had the same income (Income = Investment + Profit) as that in 2010. Thus, the percent profit earned in 2011 increased by 6%. What was his investment in 2010?
Aptitude Percentage Difficulty: Medium
27 Sep 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 choose the appropriate option. Average age of employees working in a department is 30 years. In the next year, ten workers will retire. What will be the average age in the next year ? I. Retirement age is 60 years. II. There are 50 employees in the department.
Aptitude Problems on Ages Difficulty: Medium
27 Sep 2026
The largest four-digit number which is a perfect cube, is
Aptitude Square Root and Cube Root Difficulty: Easy
27 Sep 2026
While solving a mathematical problem, Samidha squared a number and then subtracted 25 from it rather than the required i.e., first subtracting 25 from the number and then squaring it. But she got the right answer. What was the given number?
Aptitude Square Root and Cube Root Difficulty: Medium
27 Sep 2026
A farmer divides his herd of cows among his four sons so that first son gets one-half of the herd, the second son gets one-fourth, the third son one-fifth and the fourth son 7 cows. The total number of cows in the herd is
Aptitude Simplification Difficulty: Easy
27 Sep 2026
$0.1 \times 0.01 \times 0.001 = $x$
Aptitude Decimal Fraction Difficulty: Easy
27 Sep 2026
Three sets of English, Mathematics and Science books containing 336, 240 and 96 books respectively have to be stacked in such a way that all the books are stored subjectwise and the height of each stack is the same. Total number of stacks will be
Aptitude HCF and LCM Difficulty: Medium
27 Sep 2026

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