MAT (Stage-1) M...

Containers A, B and C have mixtures of milk and water in the ratios 1 : 5, 3 : 5 and 5 : 7, respectively and are filled to their full capacity. The capacities of the containers are in the ratio 5 : 4 : 5. Find the ratio of milk to water if the contents of all the three containers are mixed together.

Three partners A, B and C invested Rs. 30,000, Rs. 40,000 and Rs. 50,000 in a business for 5, 7 and 12 months, respectively. Find the ratio of their profits at the end of the year.

The number of students who took admission in an institute got increased by 15% this year. If 2645 enrolled this year, what was the number of students who enrolled in the last year?

The number of people migrating from a country increased by 4% in 2004 with respect to the previous year. There would be a decrease of 3% if 2,100 less people had migrated. Find the number of people who migrated in 2003.

A and B together can do a piece of work in 10 days and A alone can do it in 15 days. In how many days can B alone do it?

Aman and Farhan can complete a work in 30 days. Aman works for 16 days and Farhan finishes remaining work in 44 days. In how many days will Farhan complete the work alone?

If - means + and × means ÷, then 5 × 2 + 3 - 7 ÷ 1 + 3 =

If + means ÷, - means +, ÷ means - and × means ×, then 5 + 1 ÷ 7 + 1 × 3 × 7 - 3 =

If + means -, - means ÷, ÷ means ×, and × means +, then which of the following equations is correct?

If + means ÷, × means -, ÷ means × and - means +, then 7 × 6 - 90 + 9 ÷ 8 equals

Which of the following two signs should be interchanged in the equation to make the equation correct?

(6 - 3) + (4 × 2 + 13) ÷ (7 × 2) = 21