Find the sum of all two-digit numbers that give a remainder of 3 when divided by 7. (Supreme Court JCA 2017 PYP)

Tejas running with a speed of 30 m/sec covers a certain distance in 4.5 hours. Rajdhani covers the same distance in 3 hours. Find the time taken by Rajdhani to cover 891 km.

The sum of the ages of Raman and Sonia is 52 years. Raman is 4 years younger than Sonia, and the age of Alka is 1.5 times of the age of Sonia. Find the sum of the ages of Raman, Sonia and Alka.

The ratio of number of boys to girls in a class is 6:5. If 120 boys and 170 girls were added in the class then the ratio of boys to girls becomes 12:11. Find the number of boys in the class originally.

2 men and 6 women can do a certain piece of work in 5 days. A woman can do ‘x’ units of work in one day. If the efficiency of a man is 50% more than women, then in how many days 1 man and 1 woman can do the work if they work together?

The population of Delhi in 2014 is ‘x’. The population of Delhi increases by 15% every year with respect to its previous year and the population of Delhi in 2017 is 6,08,350. Find the value of ‘x’.

Sunil marked his bike 35% above cost price and sold it to Harish after a discount of D% on marked price. Find the value of D if in this transaction Sunil made a profit of 8%.

A shopkeeper sold an article at a profit of 30%. Had he bought it for Rs. 200 less than the original cost price and sold it for Rs. 110 less than the original selling price, he would have gained 45%. Find profit %, if he sells the article for Rs. 1350.

Vivek deposited sum of Rs. 600000 in the ratio of 1:2 on simple and compound interest respectively for 2 years each. If the rate of simple and compound interest are 5% and 4% respectively, then find the total interest earned by him?