Official Quant thread for CAT 2013

If the HCF of a,b,c is x and that of d,e is y, would the HCF of x,y be the HCF of a,b,c,d,e

Plz explain using examples


If the HCF of a,b and c is x, is the hcf of a-b, b-c , a-c also x? If not always , under what condition will it be equal to x??

Plz answer.. thanx 😃

In a staircase there are 20 steps. A person can jump one step, two steps, three steps or all 4 steps. In how many ways can he reach the top?

A sum of Rs 230 is lent to be returned in 2 yearly instalments of Rs 132 each at a certain rate of SI. Find the rate of simple interest.

sum of the four integers in AP is 24 and their product is 945 . find the product of smaller and greatest intergers

the sum of infinite GP i 4 and sum of their cubes in 192. find the first term ??😁

Find the sum of the series 2 + 8 + 26 + 56 + …….. till 10 terms.

Solve the attached file

Find the sum of the sequence 7, 77, 777, 7777, ... to n terms.



Post Method Also

find the valve of 9^1/2*9^1/4*9^1/8*9^1/6.................

Solve the attached file

A Swiss watch is being showdown in a museum which has a very peculiar property. it gain as much is a day as it loses during night between 8 pm to 8 am. In a week how many times will the clock show the correct time?? OA is 8 times, I m getting 7 times, pls explain

There are 18 points in the plane of which 10 are on a straight line. Except for the triplets taken exclusively from these 10 points, no other set of three points are collinear. How many

1. st line can be drawn by joining these points
2. traingles can be drawn by joining these points

Please explain.

A man traveled a distance of 95 km in 12 hours partly on foot at the rate of 5 km/h and partly on bicycle at the rate of 12 km/h. Findthe distance traveled on foot?

a. 60 km b. 55 km c. 45 km d. 40 km e. None of these

The distance between two towns P & Q is 200 km. A motorcyclist starts from P towards B at 8 am at a speed of 40 km/h. Anothermotorcyclist starts from Q towards P at 9 am at a speed of 35 km/h. At what time will they cross each other?


a. 10:48 am b. 11:00 am c. 11:08 am d. 11:38 am e. None of these

At his normal speed, Prashant can travel 18 miles downstream in a fast flowing stream in 9 hours less than what he takes totravel the same distance upstream. The time for the downstream trip would take 1 hour less than the upstream trip providedthat he doubles his rate of rowing. What is the speed of the stream in miles/hr?

A person invests 19400 rs. in 5% stock at 97 .He then sells it when it is quoting 104 rs. He then reinvests this money in 4%stock at 100 ,which he sells when the stock is quoting 105 .Find the overall profit of the transaction .

The product of 3 positive integers is 36. If one knows the sum of the 3 numbers , but is not able to uniquely identify the numbers , what is the sum of the 3 numbers ?

Plz explain ur answer as well
thanx 😃

gud cmat feb colleges......??????

The letters in the alphanumeric addition are all different. Find the numbers indicated in codes. All the letters are digits from 0 to 9.

F O R T Y
(+) T E N

(+) T E N
________
S I X T Y
________

Plz answer this question with explanation

Thanku 😃