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Directions: The following table gives the percentage distribution of population of five states, P, Q, R, S and T on the basis of poverty line and also on the basis of sex. Study the table and answer the questions based on it.
| State | Percentage of Population below Poverty line | Proportion of Males and Females Below Poverty line M : F | Proportion of Males and Females Above Poverty Line M : F |
|---|---|---|---|
| P | 35 | 5 : 6 | 6 : 7 |
| Q | 25 | 3 : 5 | 4 : 5 |
| R | 24 | 1 : 2 | 2 : 3 |
| S | 19 | 3 : 2 | 4 : 3 |
| T | 15 | 5 : 3 | 3 : 2 |
If the male population above poverty line for State R is 1.9 million, then the total population of State R is :
Aptitude Percentage Difficulty: Medium
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A cuboidal block of 6 cm x 9 cm x 12 cm is cut up into an exact number of equal cubes. The least possible number of cubes will be
Aptitude Volume and Surface Area Difficulty: Medium
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A rectangular water reservoir contains 42000 litres of water. If the length of reservoir is 6 m and breadth of the reservoir is 3.5 m, then the depth of the reservoir will be (R.R.B., 2006)
Aptitude Volume and Surface Area Difficulty: Medium
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The area of a square is twice that of a rectangle. The perimeter of the rectangle is 10 cm. If its length and breadth each is increased by 1 cm, the area of the rectangle becomes equal to the area of the square. The length of side of the square is
Aptitude Area 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 rate of compound interest on a sum of money? (Bank P.O., 2009)
I. The total simple interest at the same rate on ₹ 6000 at the end of 3 years is ₹ 1800.
II. The total compound interest on ₹ 6000 at the end of 2 years is ₹ 1260.
Verbal Reasoning Data Sufficiency Difficulty: Medium
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A sum of money at compound interest doubles itself in 15 years. It will become eight times of itself in
Aptitude Compound Interest Difficulty: Easy
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The price of a T.V. set worth ₹ 20,000 is to be paid in 20 instalments of ₹ 1000 each. If the rate of interest be 6% per annum, and the first instalment be paid at the time of purchase, then the value of the last instalment covering the interest as well will be :
Aptitude Simple Interest Difficulty: Hard
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A train speeds past a pole in 20 seconds and speeds past a platform 100 metres in length in 30 seconds. What is the length of the train?
Aptitude Problems on Trains Difficulty: Medium
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Two men at points $R$ and $S$, 76 km apart, set out at the same time to walk towards each other. The man at $R$ walks uniformly at the rate of $4 \frac{1}{2}$ km/hr ; the man at $S$ walks at the constant rate of $3 \frac{1}{4}$ km/hr for the first hour, at $3 \frac{3}{4}$ km/hr for the second hour, and so on, in arithmetic progression. If the men meet $x$ km nearer $R$ than $S$ in an integral number of hours, then $x$ is
Aptitude Time and Distance Difficulty: Hard
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Seven men can complete a work in 12 days. They started the work and after 5 days, two men left. In how many days will the work be completed by the remaining men ?
Aptitude Time and Work Difficulty: Easy
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A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the beginning and 100 more after 35 days and completes the work in stipulated time. If he had not engaged the additional men, how many days behind the schedule the work should have been finished? (G.B.O., 2007)
Aptitude Time and Work Difficulty: Medium
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A is 50% as efficient as B. C does half of the work done by A and B together. If C alone does the work in 40 days, then A, B and C together can do the work in:
Aptitude Time and Work Difficulty: Medium
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The normal dosage of a particular medicine is $t$ tablets per day for each patient. A hospital's current supply of these tablets will last $p$ patients for $d$ days. If the recommended dosage increases by 20% and the number of patients decreases by one-third, then for how many days will the hospital's supply last?
Aptitude Chain Rule Difficulty: Medium
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Meena Kumari goes to a shop and buys a saree, costing ₹ 5,225, including sales tax of 12%. The shopkeeper gives her a discount, so that the price is decreased by an amount equivalent to sales tax. The price is decreased by (nearest value).
Aptitude Profit and Loss 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.
How much minimum marks will be required to pass an examination?
I. Student A secured 32% marks in that examination and he failed by 1 mark. Student B secured 36% marks in the same examination and his marks were 1 more than the minimum pass marks.
II. Student A secured 30% of full marks in the examination and he failed by 2 marks. If he had secured 5 more marks his percentage of marks would have been 40%.
Aptitude Percentage Difficulty: Hard
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If $\log 3, \log (3^x - 2)$ and $\log (3^x + 4)$ are in arithmetic progression, then $x$ is equal to
Aptitude Logarithm Difficulty: Hard
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The quotient when $10^{100}$ is divided by $5^{75}$ is
Aptitude Surds and Indices Difficulty: Medium
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$\left(\frac{x^a}{x^b}\right)^{\frac{1}{ab}} \cdot \left(\frac{x^b}{x^c}\right)^{\frac{1}{bc}} \cdot \left(\frac{x^c}{x^a}\right)^{\frac{1}{ca}} =$ $x$
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.
What is Reena's present age?
I. Reena's present age is five times her son's present age.
II. Reena's age two years hence will be three times her daughter's age at that time.
Aptitude Problems on Ages Difficulty: Easy
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A number of two digits has 3 for its unit's digit, and the sum of digits is $\frac{1}{7}$ of the number itself. The number is
Aptitude Problems on Numbers Difficulty: Medium
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$\frac{1}{(\sqrt{9} - \sqrt{8})} - \frac{1}{(\sqrt{8} - \sqrt{7})} + \frac{1}{(\sqrt{7} - \sqrt{6})} - \frac{1}{(\sqrt{6} - \sqrt{5})} + \frac{1}{(\sqrt{5} - \sqrt{4})}$ is equal to
Aptitude Square Root and Cube Root Difficulty: Medium
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A certain organisation has three committees.
Only two persons are members of all committees, but every pair of committees have three members in common.
What is the least possible number of members on any one committee?
Aptitude Simplification Difficulty: Hard
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A group of boys decided to buy a few CDs whose total price was between ₹ 200 and ₹ 250. But at the time of purchase, two of the boys declined to contribute as a result of which the remaining boys had to pay Re 1 more than they had originally planned.
What was the price of the CDs if the boys contributed equally and in whole number of rupees?
Aptitude Simplification Difficulty: Hard
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If $(a - b) = 4$ and $ab = 2$, then $(a^2 + b^2) = ?$
Aptitude Simplification Difficulty: Easy
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A number when divided by the sum of $555$ and $445$ gives two times their difference as quotient and $30$ as the remainder. The number is
Aptitude Number System Difficulty: Medium
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