Official Quant thread for CAT 2013

A bag contains six 10-rupee coins, four 5-rupee coins and two 1-rupee coins. Six coins are drawn without replacement with each coin equally likely to be chosen. What is the probability that the coins add up to a value of at least 49 rupees?


a)135/924

b)213/924

c)37/924

d)91/924

e)127/924

ABCD is a square of side 60 cm. E and F are points on BC and CD such that BE = 33 cm and DF = 24 cm. Find the length of line segment which joins midpoints of AE and AF?

Ram is the 8th person from the extreme left in a queue and Shyam is the 22nd person from the extreme right in the same queue. There are 2 people between Ram and Shyam then find the total number of people in the queue?
:wink: :wink: :wink: :wink: :wink:

3, 8, 14, 22, 30, 42, 54, ?

17, 43, 89, 161, 265, ?

How many factors of N=2^3 * 21 *5^3 are multiples of 300 ?

A can hit the target 3 times in 6 shots. B hit it in 2 times in 6 shots and C can do it 4 times in 6 shots. They fire a volley. What is the probability that at least 2 shots hit?

1) 1/2

2) 1/3

3) 2/3

4) 3/4

5) NOTA

What is the difference between sum of all 3 digit numbers that leave remainder 4 when divided by 6 and sum of all 4 digit numbers that leave remainder 3 when divided by 11?

Ramesh and Suresh travel from town A to town B. Suresh gives Ramesh a head start of an hour. After Suresh leaves town A both of them meet at a distance of 15km from town A. Suresh continues to travel at a constant speed, reaches town B and immediately travels back to town A. In the process he meets Ramesh again at a point from where Ramesh will take 1 hour 24 minutes more to reach town B. If Suresh travels at a constant speed of 5 km/hr and Ramesh travels at a constant speed throughout the journey, then find the distance covered by Suresh between the first and the second meet?

Arun has four Rs.500 notes, three Rs.100 notes, six Rs.50 notes and eight Rs.20 notes. In how many ways can he pay Rs.1460 by using 13 notes or less?

If 3 + 7 + 9 = 216376 and 8 + 4 + 6 = 322468 and 5 + 3 + 8 = 152424 then,
what is 7 + 6 + 9?

If the lines x = a + m, y = –2 and y = mx are concurrent, what is the least possible value of |a|?

In how many ways can four identical yellow balls and two identical red balls be arranged on the circumference of a circle?

What would be probability that x*y*z + y*z + z is divisible by 3 where x, y & z are randomly drawn elements from {1,2,3,4,5,6.......,99} with replacement

.a. 1/3

b. 2/3

c. 13/27

d. 14/27

e. None of these (???)

In long division sum the dividend is 747391 and the successive remainders from the first to last are 516,631,673. Find the divisor and the quotient.

(1)773,966 (2)79,957 (3)687,639 (4)674,931

N is a postive natural number
E(N) = rt N + Rt[N +5551]
Find the no of values of N such that E(N) is rational no. ?

P.S Given to me by a friend no OA

The set S has 5 elements. In how many ways can one select two (possibly identical) subsets of S whose union is S?

Options

1. 32

2. 63

3. 64

4. 93

5. 122

😁

"Bhai Mere" Went on to become a great mathematician. :mg:
To leave his legacy in field of mathematics he defined a set of numbers as "Magic numbers"

His definition of magic numbers is
1 . All digits are odd
2. Difference between successive digits cant be 2
3. 1 cannot succeed 9

Total 6 digit magic numbers are ?? :mg: :splat:

Solve the attached question.

In a rectangle the difference between the sum of adjacent sides and the diagonal is half the length of the longer side. What is the ratio of the shorter to the longer side?

(1)root3:2 (2)1:root3 (3)2:5 (4)3:4