Official Quant thread for CAT 2013

There are three natural numbers x,y & z such that 2x+3y+4z = 100

What is the maximum value of 2x^2+5y^2+8z^2?


a)4066

b)4526

c)4534

d)4672

e)4754


@hexagon @Harmeet89 @placiddisciple @techgeek2050 @ralins

Nos are listed from 1 to 37 ... in such a way that any no divides the sum of the nos before it.

If the first no is 37

what is the 3rd no ? (Please explain the approach)

In a test consisting of 15 questions, 3 marks are awarded for a correct answer, 1 mark is deducted for an incorrect answer and no mark is awarded for an unattempted question. If a student attempts at least one question in the paper, what is the number of distinct scores that he can get?

Answer for this question ?? 😃

If a man eats 4 Kg of rice & a woman eats 1/2 kg of rice & a child eats 1/4 kg of rice. find the ratio of man woman & child so that. total person is 20 & they eat 20 kg of rice ????

One-fourth portion of each of the two solid spheres having radii 4 units and 6 units are joined together such that the centres of the two spheres coincide as shown in the figure given below. What is the total surface area of the solid thus formed?


a 88 ∏ sq. units

b 83 ∏ sq. units

c 75 ∏ sq. units

d 73 ∏ sq. units

e 78 ∏ sq. units
help reqd puysss....

How many times 5 will appear in no.s from 9 to 1000 ?


Out of 12 batsmen and 8 bowlers, a cricket team of 11 players has to be selected such that there should be at least 5 batsmen and 5 bowlers. In how many ways this can be done?

73,920

72,640

40,420

46,400

None of these

bhaiyo answer to nikhal sakte hai par calculation itna tedious hai koi short cut bata payenga aise calculation ke liye thanks in advance

In how many ways 4 girls and 3 boys can be selected from 8 girls and 6 boys such that if a girl named A is selected, a boy named K should also be selected?

350

1,050

700

1,400

None of these

Five persons have to be selected out of ten (A to J). In how many ways can it be done such that if 'I' is selected, D and E cannot be selected and 'H' has to be selected?

20

120

146

126

None of these

Kishore wrote 3 digit no. abc on a board. Rajesh wrote same no. in base 7 and got unit digit as 5. Rakesh wrote same no. in base 6 and got unit digit as 4. Parineeth rote same no. in base 5 and got unit digit as 3. If no. written by kishore is b/w 600-800. Then abc is ?

In how many ways 6 girls and 6 boys can sit in a circular table such that all the girls should not sit together?

11! + 6! * 6!

11! + 6 * 6!

11! – 6! * 6!

11! + 7 * 5!

11! – 6!* 5!

An arrangement has to be in such a way that '2n' boys and 'n' girls stand in a row. No two girls should stand together. What is the minimum value of 'n' which can give at least 151,200 choices to make this arrangement?

2

3

4

6

7

How many integers from 1 to 1000 (exclusive) are divisible by the cube of an integer larger than or equal 2?

An arrangement has to be in such a way that '2n' boys and 'n' girls stand in a row. No two girls should stand together. What is the minimum value of 'n' which can give at least 151,200 choices to make this arrangement?

2

3

4

6

7

bhaiyo iska approach batana please

A businessman has to visit 4 cities Bangalore, Chennai, Hyderabad and Mumbai in a day. In how many ways he can do this so that he cannot go to Chennai before Bangalore?

6

8

12

16

24

A 10 digit positive number is said to be a 'LearnHub' number if its digits are all distinct and it is a multiple of 11111. How many 'LearnHub' numbers are there?

Three men are to be selected among A, B, C, D, and E. If A is selected, D cannot be selected. In how many ways, the three men can be selected?

4

5

7

10

12

In how many ways can 3-digit numbers be formed selecting 3 digits from 1, 1, 2, 3, 4?


Find out 4-digit numbers which do not have two consecutive digits equal.

9 × 10^3

9 × 8 × 7 × 6

9 × 9 × 9 × 9

9 × 9 × 8 × 7

None