Question
Ten years ago, the ratio of ages of Anil and Sunil was
1:2, respectively. Four years hence, the ratio of ages of Anil and Raj will be 3:4, respectively. If Raj is 5 years younger than Sunil, find the age of Anil, 'a' years hence, where 'a' is the smallest two-digit odd number.Solution
ATQ, Let the ages of Anil and Sunil 10 years ago be x years and 2x years, respectively. Age of Raj 10 years ago = 2x−5 years Age of Anil now = x+10 Age of Sunil now = 2x+10 Four years hence: Age of Anil = x+10+4=x+14 Age of Raj = 2x+10+4−5=2x+9 Given: 
Solving the equation: 4×(x+14)=3×(2x+9) 4x+56=6x+27 6x−4x=56−27 x=14.5 Since 11 is the smallest two-digit odd number: Age of Anil, 11 years hence = x+10+11=14.5+10+11=35.5 years.
Find the largest number which should replace 'x' in the number 7184x8, to make the number divisible by 4.
Find the remainder when x³ + 2x² − 5x + 7 is divided by (x − 2).
Find the number of prime factors of 300?
A student had to find 5/12 of a certain number, but he mistakenly calculated 3/4 of that number. His answer turned out 90 more than the correct value. ...
Find the range of the given data:
14, 28, 35, 21, 42, 56, 49
Some books were distributed among (2x + 4) students such that each student received 5 books. If there had been 6 students more, then books received by e...
Find the value of 'a' in the given data if the mean of the given data is 18.
12, 15, 20, 17, 19, 14, 21, a, 13, 16
How many numbers between 340 and 1260 are divisible by both 18 and 24, but are not divisible by 5?
If 6 is to 216 as 2 is to:
What is the smallest natural number that must be added to 217 to make it exactly divisible by 6?
Relevant for Exams:
