In this blog, we will discuss 6 questions that are likely to be asked in GATE 2021. The topics which are covered in this blog are Problems on ages, compound interest, simple interest and algebra.
In 2002, Badhul’s age was one third age of Rishabh. In 2010 Badhul’s age was half the age of Rishabh. What is Badhul’s year of birth?
solution
In 2002, Badhul’s age is one third age of Rishabh so, B = R/3 or R = 3B
In 2010, B+8 = (R+8)/2
2(B+8) = 3B + 8
2B + 16 = 3B + 8
B = 8
R = 3B = 24
The year of birth of Badhul is 1994
Govind Purchases 3 Bulbs, 7 Sockets, and 1 Fan and pays Rs. 1200 on the first day. The next day, he purchases 4 Bulbs, 10 sockets, and 1 Fan from the same shop and pays Rs. 1645. Then how much he had to pay if he purchases 1 Bulb, 1 Socket and 1 Fan on the third day from the same shop and prices remained unchanged?
Solution
[3B+ 7S + 1F = 1200]….(1)
[4B + 10S + 1F = 1645] ….(2)
subtract equation 1 and 2 then you will get,
-B – 3S = -445
B + 3S = 445
4B + 10S + 1F = 3B + 9S + (1B + 1S +1F) = 1645
1645 = 3[B + 35] + ( 1B + 1S + 1F)
1645 = 3 x 445 + (1B + 1S + 1F)
1B + 1S + 1F = 310 Ans
A sum of money placed at CI doubles itself 3 years. In how many years will it amount to 8 times itself.
Solution
Find the difference between the SI and CI 5% per annum for 2 years on a principal of Rs. 2000.
solution
What is the number of real values satisfying the equation: |x|² – 2|x| – 3 = 0
Solution
Two equal sums were borrowed at 8% SI per annum for 2 years and 3 years respectively. The difference in the interest was Rs.56. The sum borrowed were__
Solution
