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A sum of money is divided among P, Q and R so that each 5 rupee P gets, Q gets 3 rupees 25 paise and R gets 2 rupees. If R's share is Rs.80, then sum must be -

If the gymnasts march immediately ahead of the veterans, then which one of the following could be the fourth group?

If p = x ${}^{1/3}$ + x ${}^{-1/3}$ , then p${}^3$ - 3p is equal to

Consider three mixtures - the first having water and liquid A in the ratio 1:2, the second having water and liquid B in the ratio 1:3, and the third having water and liquid C in the ratio 1:4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4:3:2. Then the resulting mixture has

The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and then mark the appropriate option.

How much time will the train X take to cross another train Y running in opposite direction?

I. Train X crosses a lamp post in 9 seconds.

II. Ratio of the speeds of trains X and Y is 3:2.

III. Length of the two trains together is 750 metres.

In an isosceles triangle the length of the leg containing the right angle measures 16 m, find the measure of the hypotenuse.

Find the number of 4-digit numbers that can be formed using the digits 1,2,3,4,5 if no digit is repeated. How many of these will be even?

Three critics review a book. Odds in favour of the book are 5 : 2, 4 : 3 and 3 : 4 respectively for the critics.
Find the probability that majority are in favour of the book.

Two towers of the same height stand on opposite sides of a road 100 m wide. At a point on the road between the towers, the elevations of the towers are ${30}^{\circ }$ and ${45}^{\circ }$ Find the height of the towers and the position of the point from one of the towers:

What is the total number of students from all the colleges together in the year 2005?

The number of positive integers n in the range $12<n<40$ such that the product (n-1)(n-2)...3.2.1 is not divisible by n is:

What is the total number of American women in the age group of 60-65 years?

The total marks obtained by E in "Network Analysis” and "Control System”are what percent more than the total marks obtained by B in "Signal and Systems” and "Power Electronics”?

1. Liz Taylor isn't just unlucky in love.
A. She, and husband Larry Fortensky, will have to pay the tab-$432,600 in court costs.
B. The duo claimed that a 1993 story about a property dispute damaged their reputations.
C. Taylor has lost a defamation suit against the National Enquirer.
D. She is unlucky in law too.
6. Alas, all levels of the California court system disagreed.

(CAT 1996)

If a,b,p,q are non-zero real numbers, then the two equations $2a^2{x}^2-2abx+b^2=0$ and $p^2{x}^2+2pqx+q^2=0$ have

Two pipes can fill a tank in 10 hrs and 12 hrs each whereas a third pipe will empty the tank completely in 20 hrs. If all the three pipes work together, how long will it take for the tank to fill up?

Bottle 1 contains a mixture of milk and water in 7:2 ratio and Bottle 2 contains a mixture of milk and water in 9:4 ratio. In what ratio of volumes should the liquids in Bottle 1 and Bottle 2 be combined to obtain a mixture of milk and water in 3:1 ratio?

In the given figure, ABC is a triangle in which 3AD = CD and E lies on BD, DE = 2BE. What is the ratio of area of $\Delta ABE$ and area of $\Delta ABC$ ?

An insulated box containing a diatomic gas of molecular mass $M$ is moving with velocity $v$. If the box is suddenly stopped, the resulting change in temperature is ($R$ is the gas constant)

In the following number series, a wrong number is given. Find the wrong number.
3, 10, 24, 54, 108, 220, 444

Find the missing number in the figure.

Q28.

आकृति में लुप्त संख्या ‘?’ खोजिए।

Q28

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Q13. A restaurant buys fruits in cartons containing 200 fruits each. If the restaurant uses 21 fruits in each serving of its fruit salad, what is the least number of cartons needed to prepare 60 servings of the fruit salad?

Find the next term in the following sequence.
Y,b,T,g,O,_

Find the number of factors of 3150.

Statement: Crime is a function of the criminal1s biological make up and his family relations.

Conclusions:

I. The incidence of crime is higher in identical twins than in fraternal twins.

II. Families in which parents lack in warmth and affection fail to build a moral conscience in the children.

Deepak invested Rs. 50000 in a bond which was giving him $10\%$ interest per annum at compound interest. Find the money received by Deepak after 3 years if he has to pay $20\%$ tax on the compound interest every year.

Let N be the greatest number that will divide 1305, 4665 and 6905 leaving the same remainder in each case. Then sum of the digits in N is:

Percentage wise distribution of players who play six different games

Q11. If the percentage of tennis players is increased by 40% and the percentage of horse riding players is decreased by 20%, then what will be the total number of tennis and horse riding players together?

In the following series 50 is wrongly placed. Which number will come at the place of 50?

5, 16, 50, 158, 481.

In an election between two candidates, the candidate who gets $30\%$ of the votes polled is defeated by $15000$ votes. The number of votes polled for the winning candidate is:

In a survey on a fraction of the teenage population on their preference for the "in” brands this season, 78% of these asked were in favour of at least one of the brands: 1; 2 and 3. 50% of those asked favoured Brand 1, 30% favoured Brand 2, and 20% Brand 3. If 5% of those asked favoured all three Brands, what percentage of those asked favoured more than one of the three Brands?

In Green Glen Layout last July, what was the average (arithmetic mean) home sale price?
(1) In Green Glen Layout last July, there were 100 homes sold for a total of $\$$51 million.
(2) In Green Glen Layout last July, condominiums accounted for 60% of the home sales, and the average condominium price was $\$$450,000.

In a board meeting, 8 delegates from number 1 to 8 are sitting around a circular table. Number 4 and 5 always sit together and number 1 always sits next to number 4. If number 8 always sits exactly opposite number 3, in how many ways can the seating be done?

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2. undefined
3. undefined
4. undefined

Q62. In a certain code, KNIFE is written as $\$3\%$$\#5$ and Lake is written as $7\$5$ How is FAIL written in that code?

Study the graph and answer the question based on it.

A company’s income and expenditure year per year (in crore rupees)

Q8. In which of the following pairs of years was the total expenditure equivalent to income of 1994?