

Directions: Read the following information to answer the question.
623 – 543 – 83 is divisible by
623 – (543 + 83) = 623 – [(54 + 8) (542 + 82– 54 x 8)]
=63 x 3 x 54 x 8
This is divisible both by 9 and 31
Directions: Read the following information to answer the question.
Answer:38
Explanation: hcf of 48,144 and 264 is 12 .
For mango 48/12=4,for jackfruit 144/12=12,for coconut 264/12=22
So 4+12+22=38
Hence proved
Directions: Read the following information to answer the question.
Answer:4
273/5 gives 3 as a remainder,549/5 gives 4 as a remainder,977/5 gives 2 as remainder then (3*4*2=24).when 24/5 gives 4 as a remainder.
Hence proved.
Directions: Refer the following data to answer the questions given below.
Let the rate of second quality be Rs x per Kg.
C.P of 1Kg wheat of 1st kind = 930p
C.P of 1 Kg wheat of 2nd kind = 100x p
Mean price = 1000p
By rule of alligation we have required ratio 8 : 7
Directions: Refer the following data to answer the questions given below.
Suppose the can initially contains 7x and 5x litres of mixtures A and B respectively
Quantity of A in mixture left
= (7x - 7/12 x 9) litres = (7x - 21/4) litres.
Quantity of B in mixture left
= (5x - 5/12 x 9) litres = (5x - 15/4) litres.
(7x - 21/4) / [(5x - 15/4)+9] = 7/9 = › 28x - 21/20x + 21 = 7/9 =› 252x - 189 = 140x + 147
=› 112x = 336 =’ x = 3.
So, the can contained 21 litres of A.