List of practice Questions

A, B, C, D and E sit on a long bench. C does not sit next to A or E. A and E have three persons sitting between them.
Who is sitting in the middle of the bench?
A, B, C, D and E sit on a long bench. C does not sit next to A or E. A and E have three persons sitting between them.
Who are sitting at the extreme ends of the bench?
Find the missing numbers in the following set
246810
21434??98
There are 6 volumes of books on a rack kept in order (such as, vol. 1, vol. 2 and so on). After some readers used them, their order got disturbed. The changes showed as follows:
Vol.5 was directly to the right of vol. 2
Vol 4 has vol. 6 to its left and both were not at Vol.3's place.
Vol.1 has Vol.3 on right and Vol.5 on left.
An even numbered volume is at Vol.5's place.
Find the order in which the books are kept now, from the four given alternatives:
All German philosophers, except for Marx, are idealists. From which of the following can the statements above be most properly inferred?
Ramaswami was studying for his examinations and the lights went off. It was around 1:00 a.m. He lighted two uniform candles of equal length but one thicker than the other. The thick candle is supposed to last six hours and the thin one two hours less. When he finally went to sleep, the thick candle was twice as long as the thin one. For how long did Ramaswami study in candle light?
The numerator and denominator of a fraction is in the ratio 2:3.If 6 are subtracted from the numerator the value of the fraction becomes \(\frac 23\) of the original fraction.The numerator of the original fraction is,
A person wanted to withdraw X rupees and Y paise from the bank. But cashier made a mistake and gave him Y rupees and X paise. Neither the person nor the cashier noticed that. After spending 20 paise, the person counts the money. To his surprise, he has double the amount he wanted to
withdraw. Find X and Y. (1 Rupee = 100 Paise)
Four children A, B, C and D are having some chocolates each.
A gives B as many as he already has, he gives C twice of what C already has and he gives D thrice of what D already has.
Now, D gives (\(\frac 18\))th of his own chocolates to B.
Then A gives 10% chocolates he now owns to C and 20% to B.
Finally, all of them have 35 chocolates each. What is the original number of chocolates each had in the beginning?
A drawer contains 10 black and 10 brown socks which are all mixed up. What is the fewest number of socks you can take from the drawer without looking and be sure to get a pair of the same color?
There are two similar figures below with some numbers. The left one is complete where as one number is missing in the right one. Find a suitable number to fill in place of the question mark.
missing number in figure
A placement company has to assign 1000 SW personnel who are skilled in Java and Dot Net to a prospective outsourcing company. He finds that 750 are having Dot Net skills and 450 have Java skills. Some have skills in both Java and Dot Net. Find the numbers who have skills in both Java and Dot Net.
If profit is defined as the difference between the selling price and the average cost, and each bottle is sold for Rs. 510, what is the approximate percent profit earned by the firm?
The sum of the areas of two circles which touch each other externally is \( 153\pi \). If the sum of their radii is 15, find the ratio of the larger to the smaller radius.

Answer questions based on the following information: 

An automobile company's annual sales of its small cars depends on the state of the economy as well as on whether the company uses some high profile individual as its brand ambassador in advertisements of its product. The state of the economy is "good", "okay" and "bad" with probabilities 0.3, 0.4 and 0.3 respectively. The company may choose a high profile individual as its brand ambassador in TV ads or may go for the TV ads without a high profile brand ambassador.

If the company fixes price at Rs. 3.5 lakh, the annual sales of its small cars for different states of the economy and for different kinds of TV ads are summarized in Table 1. The figures in the first row are annual sales of the small cars when the company uses a high profile individual as its brand ambassador in its TV ads and the ones in the second row are that when the company does not use any brand ambassador in TV ads, for different states of the economy.

 

 GoodOkayBad
With brand ambassador1000008000050000
Without brand ambassador800005000030000


Table 1

Without knowing what exactly will be the state of the company in the coming one year, the company will either have to sign a TV ad contract with some high profile individual, who will be the company's brand ambassador for its small car for the next one year, or go for a TV ad without featuring any high profile individual. It incurs a cost of Rs. 3.45 lakh (excluding the payment to the brand ambassador) to put a car on the road.

When the company's profit is uncertain, the company makes decisions on the basis of its expected profit. If the company can earn a profit xi with probability pi (the probability depends on the state of economy), then the expected profit of the company is:

∑ (xi × pi)
 

Answer the questions based on the data given in Table 2.
Cost and price data for Portland cement manufactured by Paharpur Cement and Bahsin Cement, for four consecutive quarters, are given in Table 2:
 

 Paharpur CementBahsin Cement
 Cost (as % of sales revenue)Price (Rs./bag)Cost (as % of sales revenue)Price (Rs./bag)
Oct – Dec 200892.1135294.21438
Jan – Mar 200987.5630491.34440
Apr – Jun 200991.0334089.96430
Jul – Sep 200990.4232290.38434



Formulas:
Sales Revenue = Price × Sales Quantity
Profit = Sales Revenue − Cost
Profit Rate = Profit ÷ Sales Quantity

The retail prices of flowers, consumer expenditure on flowers and sales of flowers for the calendar year 2009, in Phoolgaon, a small town with a population of 70,000, is summarized in Table 3: 

MonthsPrice (retail) of roses (Rs./dozen)Average consumer expenditure on roses and carnations (Rs.)Total consumer expenditure on roses (Rs.)Sales of carnations (dozens)
Jan9947.4113691613848
Feb112.551.9105165020486
Mar13549.5113791512928
Apr130.551.6113531014021
May12659.4111661218774
Jun157.555.897902017579
Jul14456.4118843217521
Aug11754.094044620355
Sep12655.5128790016031
Oct16255.677288422897
Nov18952.859724019128
Dec166.556.497768818859


Table 3

Answer the questions based on the information given below:

Madhubala Devi, who works as a domestic help, received Rs. 2500 as Deepawali bonus from her employer. With that money she is contemplating purchase of one or more among 5 available government bonds - A, B, C, D and E.

To purchase a bond Madhubala Devi will have to pay the price of the bond. If she owns a bond she receives a stipulated amount of money every year (which is termed as the coupon payment) till the maturity of the bond. At the maturity of the bond she also receives the face value of the bond.

Price of a bond is given by:
\[ P = \left[ \sum_{t=1}^{T} \frac{C}{(1+R)^t} \right] + \frac{F}{(1+R)^T} \]

where C is coupon payment on the bond, which is the amount of money the holder of the bond receives annually; F is the face value of the bond, which is the amount of money the holder of the bond receives when the bond matures (over and above the coupon payment for the year of maturity). T is the number of years in which the bond matures;
R = 0.25, which means the market rate of interest is 25%.

Among the 5 bonds the bond A and another two bonds mature in 2 years, one of the bonds matures in 3 years, and the bond D matures in 5 years.

The coupon payments on bonds A, E, B, D and C are in arithmetic progression, such that the coupon payment on bond A is twice the common difference, and the coupon payment on bond B is half the price of bond A.

The face value of bond B is twice the face value of bond E, but the price of bond B is 75% more than the price of bond E. The price of bond C is more than Rs. 1800 and its face value is same as the price of bond A. The face value of bond A is Rs. 1000.

Bond D has the largest face value among the five bonds.
OABC is a square where O is the origin and AB = 1. Consider the set of points S = (xi, yi) in the square such that xi + yi ≤ 1.

Let P(x1, y1) and Q(x2, y2) be two such points. Two operations addition (+) and multiplication (·) on S are defined as:

P + Q = (x1 + x2 − x1x2, y1y2)

P · Q = (x1x2,   y1 + y2 − y1y2)
Books and More sells books, music CDs and film DVDs. In December 2009, they earned 40% profit in music CDs and 25% profit in books. Music CDs contributed 35% towards their total sales in rupees. At the same time total sales in rupees from books is 50% more than that of music CDs.
Questions are followed by two statements labelled as I and II. Decide if these statements are sufficient to conclusively answer the question. Choose the appropriate answer from the options given below:

A. Statement I alone is sufficient to answer the question.
B. Statement II alone is sufficient to answer the question.
C. Statement I and Statement II together are sufficient, but neither of the two alone is sufficient to answer the question.
D. Either Statement I or Statement II alone is sufficient to answer the question.
E. Both Statement I and Statement II are insufficient to answer the question.
Let S1, S2, … be the squares such that for each n ≥ 1, the length of the diagonal of Sn is equal to the length of the side of Sn+1. If the length of the side of S3 is 4 cm, what is the length of the side of Sn?
Let A1, A2, …, An be the points on the straight line y = px + q. The coordinates of Ak is (Xk, Yk), where k = 1, 2, …, n such that X1, X2, …, Xn are in arithmetic progression. The coordinates of A2 is (2, −2) and A24 is (68, 31).
In an equilateral triangle ABC, whose length of each side is 3 cm, D is the point on BC such that BD = (1/2) CD. What is the length of AD?
Read the following case and choose the best alternative.

Ranjan Tuglák, the youngest cabinet minister of the newly elected coalition, glanced through the notes prepared by his secretary regarding the recent controversies on racket, the most popular game of the country. While International Racket Association (IRC) has agreed to implement Drug Testing Code (DTC) promoted by World Athletic and Gamer Federation, Racket Club which controls the entire racket related activities (unlike any other sports and games of the country) had some reservations regarding the initiative. Majority of the citizens waited for the international competitions eagerly and were fanatical about their country’s participation in them. As a result of the popularity of the game, 70% of the total revenue associated with the game originates from the country. Hence Racket Club has high bargaining power with IRC and can change any decision that is not aligned with its interests. Three most popular and senior players, including the captain, are against the application of DTC citing security reasons. A decision against the interests of these players may result in law and order problems throughout the country. Other players support the decision of their senior colleagues and if Racket Club refuses to agree, players may support Counter Racket Club, a new national level initiative. Counter Racket Club may threaten the monopoly of Racket Club, if it succeeds to attract some popular racket players.

Ranjan’s father had been forced to resign from politics due to alleged corruption charges. Ranjan had completed his entire education from abroad before returning to join politics. He is a great soccer player and has major reservations against racket. According to him, racket has negative influence on the country’s youth and diverts their attention from productive work. He also considers drug testing as an essential feature for any sports and games across the world. As the new cabinet minister for Youth and Sports he needs to take some important decisions on this controversial issue.