DSBO Company produces Z units of output at a total cost of Rs. R, where $R=\frac{1}{10}Z^{3}-5Z^{2}+10Z+5$ At what level of output will the average variable cost attain its minimum?

If H$_1$ , H$_2$ , H$_3$ , ..., H$_n$ , are 'n' Harmonic means between ‘a’ and ‘b’ (≠ a), then value of $\dfrac{H_{1}+a}{H_{1}-a}+\dfrac{H_{n}+b}{H_{n}-b}$ is equal to

If $(n+2)C_8:(n-2)P_4=57:16$, then n =

Suppose a, b and c are in Arithmetic Progression and $a^{2}, b^{2}$ and $c^{2}$ are in Geometric Progression. If $a<b<c$ and a+b+c=$\frac{3}{2}$,, then the value of a=

If three positive real numbers a, b and c (c > a) are in Harmonic Progression, then log (a + c) + log (a - 2b + c) is equal to:

Sum of the series $1^{2} - 2^{2} + 3^{2} - 4^{2} + ... + 2001^{2} - 2002^{2} + 2003^{2}$ is:

The number of ways in which a mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same game is:

The interior angles of a polygon are in Arithmetic Progression. If the smallest angle is 120° and common difference is 5°, then number of sides in the polygon is:

A ladder 25 metres long is placed against a wall with its foot 7 metres away from the foot of the wall. How far should the foot be drawn out so that the top of the ladder may come down by half the distance of the total distance if the foot is drawn out?

$2-\frac{\sqrt{6407522209}}{\sqrt{3600840049}}=$

If the positive real numbers a, b and c are in Arithmetic Progression, such that abc = 4, then minimum possible value of b is:

If one root of the equation $ax^{2} + bx + c = 0$ is double of the other, then $2b^{2}$ =

A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km down-stream. The speed of the boat in still water is:

$Cot^{-1}[\frac{\sqrt{1-sina}+\sqrt{1+sina}}{\sqrt{1-sina}-\sqrt{1+sina}}]=$

A pole has to be erected on the boundary of a circular park of diameter 13 metres in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres. The distance of the pole from one of the gates is:

A spiral is made up of 13 successive semicircles, with centres alternately at A and B, starting with the centre at A. The radii of semicircles thus developed are 0.5 cm, 1.0 cm, 1.5 cm, 2.0 cm and so on. The total length of the spiral is:

The mean salary in ICM LTD. was Rs. 1,500, and the standard deviation was Rs. 400. A year later
each employee got a Rs. 100 raise. After another year each employee’s salary (including the above mentioned raise) was increased by 20%. The standard deviation of the current salary is:

A medical clinic tests blood for certain disease from which approximately one person in a hundred suffers. People come to the clinic in group of 50. The operator of the clinic wonders whether he can increase the efficiency of the testing procedure by conducting pooled tests. In the pooled tests, the operator would pool the 50 blood samples and test them altogether. If the polled test was negative, he could pronounce the whole group healthy. If not, he could then test each person’s blood individually. The expected number of tests the operator will have to perform if he pools the blood samples are:

The game of “chuck-a-luck” is played at carnivals in some parts of Europe. Its rules are as follows: if you pick a number from 1 to 6 and the operator rolls three dice. If the number you picked comes up on all three dice, the operator pays you €3; if it comes up on two dice, you are paid €2; and if it comes up on just one die, you are paid €1. Only if the number you picked does not come up at all, you pay the operator €1. The probability that you will win money playing in this game is:

The expected present value of the five years cumulative profit with choice 3 is:

Which of the following statements is TRUE?

If the distributor M/s James claims a coverage of 55% instead of 75% and probability of this claim to be true is 0.70 instead of 0.20 then which of the following statement is true?

McDonald’s ran a campaign in which it gave game cards to its customers. These game cards made it possible for customers to win hamburgers, French fries, soft drinks, and other fast-food items, as well as cash prizes. Each card had 10 covered spots that could be uncovered by rubbing them with a coin. Beneath three of these spots were “No Prize” signs. Beneath the other seven spots were names of the prizes, two of which were identical. For, example, one card might have two pictures of a hamburger, one picture of a coke, one of French fries, one of a milk shake, one of a $5, one of $1000, and three “No Prize” signs. For this card the customer could win a hamburger. To win on any card, the customer had to uncover the two matching spots (which showed the potential prize for that card)before uncovering a “No Prize”; any card with a “No Prize” uncovered was automatically void. Assuming that the two matches and the three “No Prize” signs were arranged randomly on the cards, what is the probability of a customer winning?

While packing for a business trip Mr. Debashis has packed 3 pairs of shoes, 4 pants, 3 half-pants, 6 shirts, 3 sweater and 2 jackets. The outfit is defined as consisting of a pair of shoes, a choice of “lower wear” (either a pant or a half-pant), a choice of “upper wear” (it could be a shirt or a sweater or both) and finally he may or may not choose to wear a jacket. How many different outfits are possible?

If $\tan x +\tan(x+\frac{\pi}{3}) + \tan(x+\frac{2\pi}{3})=3$ then which of the following is correct?

If D is the midpoint of side BC of a triangle ABC and AD is the perpendicular to AC then:

A cylinder, a Hemi-sphere and a cone stand on the same base and have the same heights. The ratio of the areas of their curved surface is:

Find the TRUE Statement:

The special type wagons expressed as a percentage of total wagons were at almost same level during the following pair of years:

The Departmental wagons expressed as a percentage of total wagons was maximum during:

Find out the LOWEST annual growth rate among the following:

Find out the FALSE statement:

Find out the HIGHEST annual growth rate among the following:

In which year the annual growth rate of total production (of all products) is highest?

If the stability of the production during 1990 to 1995 is defined as,

$\frac{\text{Average Production}}{ \text{Maximum Production}\ -\text{Minimum Production}}$

then, which product is most stable?

If four products P, Q, R and S shown in the graph are sold at price of Rs. 9, Rs. 4, Rs.13 and Rs.3 respectively during 1990-1995, then the total revenue of all the products is lowest in which year?

Individual revenue of P, Q, R and S for the entire period (1990-1995) is calculated based on the price of Rs.9, Rs.4, Rs.13 and Rs.3 respectively. Which product fetches the lowest revenue?

Four products P, Q, R and S shown in the graph are sold at price of Rs.9, Rs.4, Rs.13 and Rs.3 respectively during 1990-1995. Which of the following statements is TRUE?

Mark the HIGHEST FDI inflow growth rate among the following:

Mark the LOWEST FDI inflow growth rate among the following:

Mark the TRUE statement:

Mark the FALSE statement:

Mark the TRUE statement:

Mark the LOWEST percentage among the following:

Identify the TRUE statement:

Mark the HIGHEST annual growth rate among the following:

Mark the FALSE statement:

Mark the FALSE statement:

In which year per unit cost is HIGHEST?

What is the approximate average quantity sold during the period 2000-2010?

If volatility of a variable during 2000-2010 is defined as $\frac{Maximum Value - Minimum Value}{Average Value}$, then which of the following is TRUE ?

If the price per unit decreases by 20% during 2000-2004 and cost per unit increases by 20% during 2005-2010, then during how many number of years there is loss?

If the price per unit decreases by 20% during 2000-2004 and cost per unit increases by 20% during 2005-2010, then the cumulative profit for the entire period 2000-2010 decreases by:

Find out the TRUE statement:

Find out the FALSE statement:

Choose the option which best matches the following sets:

Find out the FALSE Statement:

Find out the TRUE statement:

Find out the FALSE statement:

Find out the TRUE Statement:

Mark the FALSE statement:

Find the TRUE Sentence:

Find the FALSE sentence:

Match the following:

Find the TRUE statement:

Meaning: a bowl-shaped drinking vessel

Meaning: definition of a substance, especially a strong acid; erosive; mordant.

Meaning: an upward slope or grade (as in a road); rise; raise; climb; upgrade.

Justice Minister Bola Ige, confronted with the general incivility of local police, placed a ______ on the cads. Said the Hon. Bola Ige, “I pray that God will make big holes in their pockets.”

I ____i____ that he will pass his exam and get a good job. I will make a ____ii____ .There will be a new government in less than a year.

Imagine an _______ public figure attacked by press and public, who is facing an inquiry into allegations of having obtained money by deception.

His listeners enjoyed his ____ wit but his victims often _____ at its satire.

Had the President’s Administration not lost the vote on the budget reduction package, his first year in office would have been rated an A.

The rise in negative attitudes toward foreigners indicate that the country is becoming less tolerant, and therefore that the opportunities are ripe for extremist groups to exploit the illegal immigration problem.

This century began with war brewing in Europe, the industrial revolution well- established, and a nascent communication age.

Due to the chemical spill, the commute into the city will be delayed by as much as 2 hours.

TRAVESTY: PARAGON ::

CONTRITE: OBDURATE ::

PECCADILLO: FLAW ::

MUTTER: INDISTINCT ::

REQUIEM

ASPERSION

STOLIDITY

I. The economy’s performance in expenditure terms was even poorer with real GDP contracting by 0.6% after a gain of 0.5% in the October-December quarter.
II. On an output basis—the government’s preferred measure because it is less volatile thin expenditure-based GDP—the economy contracted by 0.3% in real terms from the previous quarter.
III. Data from Statistics New Zealand, a government agency, published on June 27th show an almost uniformly abysmal economic performance in January-March 2008.
IV. This was the first contraction since late 2005, made worse by the fact that the previous quarter’s growth rate was revised down from 1% to 0.8%.

I. Matti Meri, a teacher-trainer at Helsinki University, was a teacher at the time.
II. By the time comprehensives reached the more populous south, teachers were eager to join in what was clearly a roaring success.
III. “Grammar-school teachers were quite afraid of the reforms,” he recalls.
IV. “They used to teach only one-third of the students. But the comprehensive schools used almost the same curriculum as the grammar schools had—and we discovered that the two- thirds were mostly able to cope with it.”
V. Comprehensive schools were introduced in 1972 in the sparsely populated north, and then over the next four years in the rest of the country.

I. “It is a clear illustration of the major role played by diet and culture on your risk of chronic disorders,” he says.
II. Little is known about its effects, but changing its levels, possibly through diet or with different gut bacteria, might help to control high blood pressure.
III. Chinese and Japanese people are very similar at a genetic level, but Dr Nicholson found big differences in the type and variety of metabolites in their blood and urine.
IV. “Metabolomics can provide very specific pointers as to what is going wrong and new ways of intervening.”
V. For instance, he found an unexpected metabolic marker, called formate that seems to have a role in regulating blood pressure.

There are four sentences S1, S2, S3, S4 where the underlined word is used either correctly or incorrectly. Choose the option which lists the sentences, where the underlined word is used correctly.
S1. Only 22% of the people voted. The rest were totally disinterested.
S2. The management and the union asked a completely disinterested party to mediate between them.
S3. I don’t know why he didn’t go to the exhibition. Perhaps he was too busy or just disinterested.
S4. France’s intervention in the dispute was not entirely disinterested. It gave her increased power and influence in the area.

There are four sentences S1, S2, S3, S4 where the underlined phrase is used either correctly or incorrectly. Choose the option which lists the sentences, where the underlined phrase is used correctly.
S1. Good Lord, I’m not rich! on the contrary, I’m constantly in debt.
S2. She’s very intelligent, but on the contrary she’s apt to be impatient.
S3. Yes, it’s a very cosmopolitan city. On the contrary, it’s very expensive.
S4. I don’t think he’ll pass the exam. On the contrary, I think he’ll almost certainly fail.

Which of the following country is not a member of G8 group of countries?

Which prominent intergovernmental organization launched the movement, ‘Education For All’ (EFA):

Which of the following country is a member of OECD group?

Select the correct Year - Olympic host cities
match:

Select the correct IPL Franchise - Owner match:

Which of the following country is not a member of Nuclear Suppliers Group?

Select the correct Bharat Ratna recipient-Year match:

Select the match:

Select the WRONG International Organization - Location of Headquarter - Country match:

Select the WRONG Venue of Hockey World Cup - Year - Winner match:

Select the WRONG Book - Author match:

Select the WRONG Country - Name of Parliament match:

Which of the following books has been authored by P. Chidambaram?

Which of the treaty was signed amongst the European nations for entering into the monetary union?

Which of the following Indian automobile major has a tie-up with a German insurer?

Which Indian company has acquired General Chemical Industrial Products Inc. of USA in 2008?

Which of the following is not part of the Central Police Forces under the Union Government of India?

In descending order, which of the following group of countries is correct about the length of India’s land borders with its neighbors?

Chronologically which one of the following is correct?

Which of the following mountain peak is not located in India?

Select the correct Organization — Purpose
match:

In descending order, which one of the following is the correct sex ratio of states in India?

Select the correct Artists — Instruments match:

Select the correct Sobriquets — Primary Names
match:

Which of the following is an incorrect Award - Person match?

The antibiotic penicillin is obtained from:

Select the correct Railway Zone — Head Quarter
match: Table

Select the correct Inventions/Discoveries — Inventors/ Discoverers match:

Select the correct Diseases — Plants affected match:

In April 2008 ISRO launched the following satellite form Sriharikota: