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Directions: Study the following information and answer the questions that follow :
The graph given below represents the production (in tonnes) and sales (in tonnes) of Company A from 2006 to 2011.
[Graph Data of Company A]
| Year | Production (in tonnes) | Sales (in tonnes) |
|---|---|---|
| 2006 | 750 | 300 |
| 2007 | 800 | 550 |
| 2008 | 600 | 450 |
| 2009 | 550 | 400 |
| 2010 | 700 | 500 |
| 2011 | 650 | 550 |
The table given below represents the ratio of the production (in tonnes) of Company A to the production (in tonnes) of Company B, and the ratio of sales (in tonnes) of Company A to the sales (in tonnes) of Company B.
| Year | Production (A : B) | Sales (A : B) |
|---|---|---|
| 2006 | 5 : 4 | 2 : 3 |
| 2007 | 8 : 7 | 11 : 12 |
| 2008 | 3 : 4 | 9 : 14 |
| 2009 | 11 : 12 | 4 : 5 |
| 2010 | 14 : 13 | 10 : 9 |
| 2011 | 13 : 14 | 1 : 1 |
What is the ratio of the total production (in tonnes) of Company A to the total sales (in tonnes) of Company A ?
Aptitude Ratio and Proportion Difficulty: Medium
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The income derived from a ₹ 100, 13% stock at ₹ 105, is
Aptitude Stocks and Shares Difficulty: Easy
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There is a cube of volume 216 cm³. It is to be moulded into a cuboid having one edge equal to 6 cm. The number of ways that it can be done so that the edges have different integral values is
Aptitude Volume and Surface Area Difficulty: Hard
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If the areas of the three adjacent faces of a cuboidal box are 120 cm$^2$, 72 cm$^2$ and 60 cm$^2$ respectively, then find the volume of the box.
Aptitude Volume and Surface 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 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 area of the right-angled triangle?
(Bank Recruitment, 2009)
I. Height of the triangle is three-fourths of the base.
II. Hypotenuse of the triangle is 5 metres.
Verbal Reasoning Data Sufficiency Difficulty: Medium
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When the circumference of a toy balloon is increased from $20\text{ cm}$ to $25\text{ cm}$, its radius is increased by
Aptitude Area Difficulty: Easy
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The ratio of the areas of the incircle and circumcircle of an equilateral triangle is
Aptitude Area Difficulty: Easy
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The compound interest on a certain sum for 2 years at 10% per annum is ₹ 525. The simple interest on the same sum for double the time at half the rate percent per annum is
Aptitude Compound Interest Difficulty: Easy
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A sum of ₹ 18750 is left by a will by a father to be divided between the two sons, 12 and 14 years of age, so that when they attain maturity at 18, the amount (principal + interest) received by each at 5 per cent simple interest will be the same. Find the sum allotted at present to each son. (N.M.A.T., 2005)
Aptitude Simple Interest Difficulty: Hard
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At what rate of simple interest per annum can an amount of ₹ 1553.40 be obtained on the principal amount of ₹ 8630 after 3 years?
Aptitude Simple Interest Difficulty: Medium
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Two cyclists, $k$ kilometres apart, and starting at the same time, would be together in $r$ hours if they travelled in the same direction, but would pass each other in $t$ hours if they travelled in opposite directions. The ratio of the speed of the faster cyclist to that of the slower is
Aptitude Time and Distance Difficulty: Hard
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A man on tour travels 160 km by car at 64 km/hr and another 160 km by bus at 80 km/hr. The average speed for the whole journey is
(L.I.C.A.D.O., 2008)
Aptitude Time and Distance Difficulty: Medium
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A man drives 150 km to the seashore in 3 hours 20 min. He returns from the shore to the starting point in 4 hours 10 min. Let $r$ be the average rate for the entire trip. Then the average rate for the trip going exceeds $r$, in kilometres per hour, by
Aptitude Time and Distance Difficulty: Medium
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A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone ?
Aptitude Time and Work Difficulty: Hard
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If $a : b : c = 2 : 3 : 4$, then $\frac{1}{a} : \frac{1}{b} : \frac{1}{c}$ is equal to
Aptitude Ratio and Proportion Difficulty: Easy
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The price of an article is first increased by 20% and later on decreased by 25% due to reduction in sales. Find the net percentage change in final price of the article.
Aptitude Percentage Difficulty: Easy
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A showroom owner sells a leather jacket for ₹ X and claims to make a profit of 10%. He plans to have a stall in the trade fair and marks the same jacket at ₹ 2X. At the stall, he allows a discount of 20%. What will be the percentage profit that he will make at the trade fair?
(M.B.A., 2006)
Aptitude Profit and Loss Difficulty: Medium
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A shopkeeper purchased 150 identical pieces of calculators at the rate of ₹ 250 each. He spent an amount of ₹ 2500 on transport and packing. He fixed the labelled price of each calculator at ₹ 320. However, he decided to give a discount of 5% on the labelled price. What is the percentage profit earned by him?
Aptitude Profit and Loss Difficulty: Medium
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Find the selling price of an article if a shopkeeper allows two successive discounts of $5\%$ each on the marked price of ₹ $80$. (C.B.I., 2003)
Aptitude Profit and Loss Difficulty: Easy
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The price of sugar increases by 32%. A family reduces its consumption so that the expenditure of the sugar is up only by 10%. If the total consumption of the sugar before the price rise was 10 kg per month, then the consumption of sugar per month at present (in kg) is
Aptitude Percentage Difficulty: Medium
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The average of the first 100 positive integers is
Aptitude Average Difficulty: Easy
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There are 200 questions on a 3 hour examination. Among these questions are 50 Mathematics problems. It is suggested that twice as much time be spent on each Maths problem as for each other question. How many minutes should be spent on Mathematics problems?
Aptitude Simplification Difficulty: Medium
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$$ \frac{1.6 \times 3.2}{0.08} = x $$
Aptitude Decimal Fraction Difficulty: Easy
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The value of $4.1\overline{2}$ is
Aptitude Decimal Fraction Difficulty: Easy
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$(9^6 + 1)$ when divided by $8$, would leave a remainder of
Aptitude Number System Difficulty: Easy
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