Official Quant thread for CAT 2013

How many numbers not more than 100 are co-primes to 18?
What is the answer to this question?
Is there a formula for solving such questions?

hi can u pls explain the approach.
How to find the number which when divided by 7 leaves remainder 4,

11 leaves remainder 2,

13 leaves remainder 6.

example :-123

Anybody plz give link to try geometry earlier years questions

Sum of the first 30 natural numbers which when divided by each of 2, 3, 5 and 6 leave remainders of 0, 1, 3 and 4 respectively is:

13890

14000

14138

NOT

9^80+9^81+9^82+9^83 is divisible by

21

23
37
41

A basket contains only three kinds of fruits – guavas, mangoes and pears. What is the minimum

number of fruits that should be picked from the basket to ensure that at least 5 guavas or at least 7

mangoes or at least 8 pears are picked?

(a) 12
(b) 20
(c) 17
(d) 18

Two alloys contains iron and lead in the ratio of 4:3 and 1:6 respectively, 7 kgs of the first alloy 14 kgs of second alloy and some amount of pure iron are mixed to form a new alloy. The resultant alloy has iron and lead in the ratio of 1:1 Find the weight of the resultant alloy


35
25
40
30

question acha to like karna :) mg

Four friends – Vikrant, Vikram, Jasneet and Saurabh – were born in four different months – January, March, July and December – of the same year, not necessarily in the same order. Each friend has a distinct surname among Joshi, Singh, Gupta and Agarwal, not necessarily in the same order. It is also known that: (i) Vikrant is younger than Gupta. (ii) Jasneet was not born in December. (iii) Saurabh, who is not the youngest, was not born in March. (iv) Joshi is not the youngest and was also not born in January. (v) Vikram was born before Vikrant but after Agarwal. (vi) Agarwal was not born in January.

Q.55 Who among the four friends is the youngest?

Add to my

aVikrant Singh

bVikram Gupta

cVikrant Joshi

dCannot be determined

A single refined oil can contain 20% impurities. After double refining it contains 4% impurities. How much of double refined oil can be obtained from 30 litres of single refined oil

24

24.8

25

25.5

Wine and Soda in two glasses are in the ratio of 4:5 and 7:8 in what ratio should the quantities in the two glasses be mixed such that the resultant mixture has wine and soda in the ratio of 11:13

3:5

5:6

4:3

1:1

The ratio of water and milk in a solution is 4:5 by adding 8 litres of milk the ratio becomes 3:4 and the can becomes full? What is the capacity of the can in litres

200

224

240

216

OA hai please share the approach

21*36 = 21 15*56 = 41 17*32 = 19 16*28 = 58 52*29 = ?

How many numbers below 100 can be expressed as a difference of perfect squares in only ONE way?Please share your approach.

a. 35
b. 30
c. 34
d. NOTA

How to solve problems in which an equation of second order is given & it is asked which geometric figure it represents????


A glass contains a solution having 60% alcohol. What percent of the solution must be removed and replaced with alcohol such that the resultant solution has 75% alcohol?

20
35
37.5
42

Find the minimum possible value of 'y' if

9/17

where x and y are natural numbers.

(a) 4
(b) 5
(c) 7
(d) 8

Find the minimum possible value of 'y' if

9/17

, where x and y are natural numbers.

(a) 4

(b) 5

(c) 7

(d) 8

A glass contains a solution having 60% alcohol. What percent of the solution must be removed and replaced with alcohol such that the resultant solution has 75% alcohol?

20

35

37.5

42

How many distinct three digit numbers can be formed by using the digits of the set {1, 0, 0, 2, 2, 2}?

(a) 13
(b) 12
(c) 11
(d) 10

find the in radius of a circle inscribed in a right angle triangle.