Quantitative Ap...

Which of the following is a perfect square?

The 5th and 9th terms of a harmonic progression are $\frac{2}{3}$and $\frac{2}{9}$ respectively. What is the first term of the progression?

The positive integral divisors k1, k2, k3, … of a positive integer n are given in ascending order. If 11 divides n and n = k5 + k6 + k7, what is the value of n?

Four clocks were set right at the same time. One clock gains 'a' minutes in a day, second clock loses 'b' minutes in a day, third clock gains 'c' minutes in a day and the fourth clock gains 'd' minutes. After how much time will all the clocks again show the correct time simultaneously if a + b + c + d = 1 hour, a : b = c : d = 2 : 1 and b : d = 3 : 1?

On January 1, Ajit put Re 1 in his piggy bank. Every day, he put in Rs 2 more than the total amount of money already in the piggy bank. Which of the following expressions gives the total amount of money in Ajit's piggy bank at the end of January?

In a shop, there are 500 sweet products 210 are biscuit-based, 160 are milk-based and 160 are coconut-based. 80 have both milk and coconut but no biscuit, 70 have milk and biscuit but no coconut, 60 have biscuit and coconut but no milk. How many items have all three ingredients if 200 have none of these ingredients?

There are 5 identical circles within a circle as shown below. P, Q, R and S are the respective centres of four of these circles. If the radius of the bigger circle is 15 cm, what is the area of the shaded portion?

The production of rice increased by 75% from 1990 to 1995. From 1995 to 2000, there was a 100% increase. What is the percentage increase in the production of rice from 1990 to 2000?

Fahim and Farhan together earned Rs 37,570 from a business venture. They divided it and each deposited his share in a bank. At the end of 9 years, the amount Farhan had in the bank was the same as the amount Fahim had at the end of 7 years. If the interest was compounded annually at 10% per annum, what was Farhan's share of the money earned from the business venture?