Official Quant thread for CAT 2013

Let t(n)= 2/root(n)+root(n+2), find t16+t18+t20+............+t62

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A reduction of 10% in the price of sugar enables a housewife to buy 6.2 kg more for rs 279. find reduced price per kg.? Plz explain

The product of three positive integers is 6 times their sum. One of these integers is the sum of the other two integers. If the product of these three numbers is denoted by P, then find the sum of all distinct possible values of P.

P is the product of first 30 multiples of 30. N is the total number of factors of P. In how many ways N can be written as the product of two natural numbers such that the HCF of these two natural numbers is 19?

Cataholic told Alcoholic his score on the CAT, which was over 80. From this, Alcoholic was able to determine the number of problems Cataholic solved correctly. If Cataholic's score had been any lower, but still over 80 , Alcoholic could not have determined this. What was Cataholic's score? (Recall that the CAT consists of 30 multiple choice problems and that one's score, S , is computed by the formula , S=30+4C-w, where C is the number of correct answers and W is the number of wrong answers. (Students are not penalized for problems left unanswered.)

mgmgmg

In x-y plane, a circle passes through the points (2, 5) and (–4, 13).The radius of the circle is 10 units.I just want to ask whether there shall be a unique circle or two different circles that will satisfy this condition?

On a certain morning, Amar, Badri and Kedar start from a place P towards another place Q at 7:00 a.m., 7:25 a.m. and 7:50 a.m. respectively. They simultaneously reach a place M, which is twice as far from Q as it is from P, and continue their journey to Q. The fastest of them reaches Q at a time T and immediately turns back towards P, without changing his speed, and at the same time, the slowest of them increases his speed by a certain amount. Finally, all the three reach a place S (between M and Q) exactly 20 minutes after T. All three of them travel at constant speeds unless otherwise mentioned.

11.

If the speed of Kedar when he started from P was 12 km/hr, what was the speed of Amar when he reached S?

12 km/hr

15 km/hr

18 km/hr

Cannot be determined

12.

If Amar had not increased his speed, when would Kedar have crossed Amar?

11:00 a.m.

10:53:20 a.m.

10:43:20 a.m.

Cannot be determined


six bells commence tolling together and tolls at intervals 2,4,6,8,10,12 seconds.In 30 min how many times they toll together?

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Boxes numbered 1,2,3,4,5 are kept in a row and they are to be filled qith either a red or a blue ball,such that no 2 adjacent boxes can be filled with blue balls. then how many different arrangements are possible,given that all balls of a given color are exactly identical in all respects?

An iron cube of side 4 cm is melted and exhaustively recast into N1 cubes each of side 1 cm, N2 cubes each of side 2 cm and N3 cubes each of side 3 cm (N1, N2, N3 > 0). What is the probability that N2 is an odd number?



out of 2n+1 students,n students have to be given the scholarships. no of ways in which at least 1 student can be given scholarship is 63. what is no of studenst receiving the scholarships?


Divisibility rules for 7,13,17,19, anyone please?😠😠😠😠

Q. A boat is to be rowed by 10 men; 5 on the left side and 5 on the right side. Of the 10 men, available two cannot row on the right side and three cannot row on the left side. In how many ways can the 10 men be arranged?


Q1 There are 6 white and 6 black balls to be put in 10 urns such that there is at least one ball in every urn. Find the number of ways this can be done.

1) If urns are distinct.
2) If urns are identical.

Q2 There are 12 black balls to be put in 10 urns such that there is at least one ball in every urn. Find the number of ways this can be done.

1) If urns are distinct.
2) If urns are identical.


Q3 There are 6 black balls to be put in 10 urns. Find the number of ways this can be done.

1) If urns are distinct.
2) If urns are identical.

Q.3 The angle of elevation of the top of tower in a regular octagonal ground from each of the eight vertices is 60°. If the side of the regular octagonal ground measures 'h' mts, find the height of the tower.

a1.6 h

b1.8 h

c1.2 h

d2.8 h

e2.2 h

non negative integral solutions for x+y+z+w=100 where x,y,z,w is multiple of 5

consider triangles with integral sides such that perimeter of each triangle is 11 units how many such triangles exist???

7 friends went to a movie. They found 5 booking counters at the cinema hall. In how many ways they can stand in the Queue ? (assume - all the counters were empty when they reached the hall)

1) 5^7

2) 7^5

3) 11P7

4) 7P5

5) 7C5

On giving 3 pencils free with every 5 pens bought, a shopkeeper makes a profit of 20% and on giving 6 pencils free with every 2 pens bought, he suffers a loss of 25%. Find the approximate profit percent made by the shopkeeper when he gives 4 pencils free with every 6 pens bought. (Assume that the pencils are identical and the same applies to the pens.)

der r 52 coins ...each player can pick up min 2 n max 5 coins ..the player who picks up the last coin wins the game..how many coins should player1 pick up the coin so as to ensure to win the game ..(der r 2 players..)