Official Quant thread for CAT 2013

A lateral side of an issosceles triangle is 15cm and the altitude is 8 cm .What is the radius of the circumscribed circle.(a)9.625(b)9.375(c)9.5(d)9.125

If a+b+c+d=20, then find the number of solutions possible when a,b,c,d

There are how many number "n" (less than equal to 3000) be possible such that n^4 mod 240 is not equal to 1.

a. 800

b. 773

c. 2200

d. 2123

e. None of These

For how many positive integer values of 'x' is ||||x – 1| – 2| – 3| – 4|

(a) 10 (b) 14 (c) 4 (d) 15


Please solve with explanation

Ans(b)

In a room filled with 7 people , 4 people have exactly 1 sibling in the room and 3 people have exactly 2 siblings in the room . If two individuals are selected from the room at random, what is the probability that those two individual are not siblings?

a. 5/21 b. 3/7 c. 4/7 d. 5/7 e. 16/21
Please solve with explanation.

Q3






An Exam pattern for a certain Bank exam is as given below.


Quantitative Aptitude :- 50 Marks
Verbal Ability :- 50 Marks
Data Interpretation :- 50 Marks
Contributor Personality Development, Moral Values And Ethics :- 100 Marks.

In How Many Ways a Candidate can score 60% aggregate marks ?

Please share the approach also.

There are three cities: A, B and C. Each of these cities is connected with the other two cities by at least one direct road. If a traveller wants to go from one city (origin) to another city (destination), she can do so either by traversing a road connecting the two cities directly, or by traversing two roads, the first connecting the origin to the third city and the second connecting the third city to the destination. In all there are 33 routes from A to B (including those via C). Similarly, there are 23 routes from B to C (including those via A). How many roads are there from A to C directly?


a 6

b 3

c 5

d 10

e 12

A stamp collector decides to put all his stamps in a new album. If he puts 20 stamps on one sheet, there will be some left over; if he puts 23 stamps on a sheet, there will be at least one empty sheet left in the album. If the stamp collector is presented with an additional new album of the same kind, each sheet holding 21 stamps, he will be left with a total of 500 stamps. How many sheets are there in the first album?????????????😠😠😠


a 11

b 12

c 13

d 10

e Data insufficient

Guys how to find the remainder of 3^12/17 ??

what will be the unit digit when XXYYZZ is divided by 1001 if X>Y>Z ???

a number is mistakenly divided by 5 instead of being multiplied by 5. Find the percentage change in the result due to this mistake.

How many different values can the expression 4x + 3y have if x,y are positive natural numbers less then equal to 15?

How to calculate remainder in the following case: 12^107/ 37??

How many pairs of natural numbers are there such that their LCM is 20 and HCF is not 4? is there any shortcut method for these type of questions??

1) Four runners start running simultaneously from point on a circular track and take 400 seconds, 300 seconds, 200 seconds, and 150 seconds respectively to complete one revolution. How long they take to meet at the starting point?

A) 23 Min. B) 20 Min. C) 15 Min. D) 25 Min.


P can do a certain work in 4 days and Q can do the same work in 12 days. They work together few days after which P leaves and Q alone completed the remaining work. If it takes 6 days to complete the entire work, after how many days does P quit?

A) 2 days B) 3 days C) 4 days D) 5 days

Shailesh got an increment such that his contribution to his family's total income is increased from 30% to 40% what is the increase, in % points, in Shailesh's contribution to his family's total income.

A) 25 B) 33.33 C) 10 D) None of these

A person traveled from Hyderabad to Mumbai at an average speed of 30KMPH and then from Mumbai to Hyderabad at an average speeds of 90 KPHM along the same route. What is the average speed of entire journey?

A) 75 KMPH B) 60 KMPH C) 45 KMPH D) Cannot be determine.

Two trains of lengths 700m and 800m are running on parallel tracks towards each other and distance traveled by the two trains together from the time they start to cross each other _____ they completely cross each other?

A) 100m B) 1400m C) 1500m D) 1600m