Algebra Question and Answers Quiz-1

The ages of the two persons differ by 20 years. If 5 year ago, the older one be 5 times as old as the younger one, then their present ages, in year are:

A man arranges to pay off a debt of Rs 3600 by 40 annual installments which are in A.P. When 30 of the installments are paid he dies leaving one-third of the debt unpaid. The value of the 8th installment is:

In an institution, half of the students went on an industrial tour. 28 times the square root of the total students went to see the industrial fair and the remaining 256 students were allotted project work. The total number of students in the institution is

A student was asked to divide a number by 6 and add 12 to the quotient. He, however first added 12 to the number and then divided it by 6, getting 112 as the answer. The correct answer should have been:

The cost of 6 kg potatoes and 2 kg tomatoes is Rs. 40 and that of 2 kg potato and 6 kg tomatoes of the same type is Rs. 60. The cost (in Rupees) of potatoes and tomatoes per kg are respectively

Two spinning machines A and B can together produce 3,00,000 m of cloth in 10 hour, if machine B alone can produce the same amount of cloth in 15 hour, then how much cloth can machine A produce alone in 10 hour?

Shahil’s present age is thrice the sum of his 2 son’s present age. After 4 years, Shahil’s age will be double of the sum of his son’s age. What is Shahil’s present age?

A,B,C and D play a game of cards. A says to B "If I give you 8 cards, you will have as many as C has and I shall have 3 less than what C has. Also if I take 6 cards from C, I shall have twice as many as D has". If B and D together have 50 cards, how many cards have A got?

The age of Rishabh Pant in 2002 was \frac{1}{90} of his birth year. What is his age in 2006?

If the average of x and \frac{1}{x} be 1, then the value of x^{10} + \frac{1}{x^{10}} is