DIRECTIONS: What will come in place of the question mark (?) in the following questions?

(729)^1.5 x (243)^1.6 ÷ (9)^7.8 = 3^?

If  12⁶ × (360)³ × (12)² × (160)⁴ × (100)⁴ = 2⁹⁺¹³ × 3⁹ × 10⁹  then, find the value of ?.

DIRECTIONS : Find the missing term in the following series.

18, 18, 27, 54, ?, 405

DIRECTIONS: What should come in place of the question mark (?) in the following question?

420, 419, 415, 406, 390,?, 329

Harshita bought 20 pens, 8 packets of wax colours, 6 calculators and 7 pencil boxes. The price of one pen is Rs 7, one packet of wax colour is Rs 22, one calculator is Rs 175 and one pencil box is Rs 14 more than the combined price of one pen and one packet of wax colours. How much amount did Harshita pay to the shopkeeper?

A and B together can complete a work in 8 days and B and C together in 12 days. All of them together can complete the work in 6 days. In how much time will A and C together complete the work?

In a committee the average age of 8 people increases by 2 years when two people whose age were 35 years and 45 years are replaced by two women. Find the average age of the two women.

At present, the sum of the ages of A, B and C is 150 years, whereas 10 years ago, the ratio of their age was 5 : 4 : 3 respectively. Find the ratio of their ages 10 years hence.

The length of a circular path is 20 km. Three runners start running from a point in same direction with speed of 4 km/hr, 5 km/hr and 8 km/hr respectively. After how many hours will they be together at the starting point again?

An HR Company employs 4800 people, out of which 45 percent are males and 60 percent of the males are either equal to or older than 25 years. How many males are employed in HR Company who are younger than 25 years?