CAT Algebra

Reading Test 1

Question No : 1

Q.1 Rs 5783 is divided among Sherry, Berry, and Cherry in such a way that if Rs 28, Rs37 and Rs 18 be deducted from their respective shares, they have money in the ratio 4:6:9. Find Sherry's share.

Question No : 2

Q.2 Two numbers are in the ratio P:Q. When 1 is added to both the numerator and the denominator, the ratio gets changed to R/S. Again, when 1 is added to both the numerator and the denominator, it becomes 1/2. Find the sum of P and Q.

Question No : 3

Q.3 If 10 persons can clean 10 floors by using 10 mops in 10 days, in how many days can 8 persons clean 8 floors using 8 mops?

Question No : 4

Q.4 Three quantities A, B, C are such that AB = KC, where K is a constant. When A is kept constant, B varies directly as C; when B is kept constant, A varies directly as C, and when C is kept constant, A varies inversely as B. Initially, A was at 5 and A:B:C was 1:3:5. Find the value of A when B equals 9 at constant C.

Question No : 5

Q.5 If x/y = 3/4, then find the value of the expression (5x - 3y)/(7x + 2y).

Question No : 6

Q.6 Rs 3650 is divided among 4 engineers, 3 MBAs and 5 CAs such that 3 CAs get as much as 2 MBAs and 3 engineers as much as 2 CAs. Find the share of an MBA

Question No : 7

Q.7 The ratio of water and milk in a 30 litre mixture is 7:3. Find the quantity of water to be added to the mixture in order to make this ratio 6:1.

Question No : 8

Q.8 Three containers A, B and C are having mixtures of milk and water in the ratio 1:5, 3:5 and 5:7 respectively. If the capacities of the containers are in the ratio 5:4:5, find the ratio of milk to water, if the mixtures of all three containers are mixed together.

Question No : 9

Q.9 If p,q,r,s are proportional, then (p-q)(p-r)/p =

Question No : 10

Q.10 What number must be added to each term of the fraction 7/31 so that it may become 5 : 17?

Question No : 11

Q.11 If x varies inversely as y³ - 1 and is equal to 3 when y = 2, find x when y = 4.

Question No : 12

Q.12 If x varies as y, and y = 4 when x = 12, find x when y = 15

Question No : 13

Q.13 X varies jointly as Y and Z; and X = 6 when Y = 3, Z = 2; find X when Y = 5, Z = 7.

Question No : 14

Q.14 If x varies as y directly, and as z inversely, and x = 12 when y = 3; find z when x = 4, y = 5.

Question No : 15

Q.15 Divide Rs 1400 into three parts in such a way that half of the first part, one-fourth of the second part and one-eighth of the thrid part are equal

Question No : 16

Q.16 Divide Rs 5000 among A, B, C and D so that A and B together get 3/7th of what C and D get together, C gets 1.5 times of what B gets and D gets 4/3 times as much as C. Now the value of what B gets is