Official Quant thread for CAT 2013

Find the remainder on dividing 11^52 + 12^101 by 133.

A ) 1

B ) 132

C ) 2

D ) None of these

What is the highest power of 12 in 100!

@Devanki Figure to your graph question will be something like this... I hope it is clear now.... 😃

AB + BA = 368, where A, B are integers. What is the product of A and B?

A ) 24

B ) 15

C ) 18

D ) 14

If you think that quant of CAT is very tough, try solving KVPY maths paper. It is held for 11th standard students, to grant them scholarships for pursuing research. And yeah, cut off for the paper is on the higher side of 50%.





From 1 to 100, how many numbers will have exactly 6 factors?

A ) 13

B ) 14

C ) 15

D ) 16

In how many ways can six faces of a cube be painted in six different colors?

There are 20 students in a class studying 3 different subjects--Maths, Biology and French. None of the students takes up a single subject alone. If each of these subjects is taken up by a different number of students, what can be the maximum number of students taking up all the three subjects?

20

14

16

17


Please help !!

ABCD is a trapezium and its diagonals bisect at O. if we know AO,BO,CO and DO in terms of x then how can we find x. plz help

Sum of two positive integers is 85. What can be the maximum possible LCM of these

numbers?

A ) 1800

B ) 1806

C ) 1900

D ) Cannot be determined

A six digit number ‗pqrstu' having all distinct digits multiplied by ‗u' gives an

answer in the form ‗aaaaaa'. What can be the value of a?

A ) 9

B ) 7

C ) 4

D ) 5

two ppl start simultaneously from a point on the circular track in the same direction at a speed of X and Y. They meet first time when 1st person is in his 3rd round. which of the following cannot be the ratio of their speed?

11:7
9:5
11:5
13:7

How many integers that are greater than 990 but less than 5000 can be formed using

the digits 0, 4, 7, 5, 8, 9?

A ) 432

B ) 221

C ) 437

D ) 442


16. If f(n)= n!, g(n) = n^2, h(n) = 2n, find f(g(3)) + g(h(3))

A ) 362906

B ) 362916

C ) 362926

D ) 362936

Find the volume of cone of radius R having height H when hole is made axially with radius r.

There are eight married couples. Three pairs have to be formed from these selecting one man and one woman, not husband-wife. Criteria is if husband is selected, then the wife must not get selected in any of the groups and vice versa. How many ways can it be done?

Please find ahead the attached question

Taman can do a piece of work in 10 days. After the 1st day, he fell sick and his

efficiency decreased by 20% so he hired Viru to help him. Viru has half the normal

efficiency of Taman. After four more days, Viru too felt sick and his efficiency decreased

by 50%. What is the total number of days in which the work will be completed?

A ) 8 +13/21 days

B ) 8 +14/21 days

C ) 8 + 15/21 days

D ) None of these

In how many ways, 729 can be expressed as a difference of 2 squares?

Plz solve....