Question 1 :
Baichung's father is 26 years younger than Baichung's grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of Baichung's grandfather?
Question 2 :
Half of a herd of deer are grazing in the field and three fourth of the remaining are playing nearby. The rest 9 are drinking water from the pond. Find the number of deer in the herd.
Question 5 :
One of the two digits of a two-digit number is three times the other digit. If you interchange the digit of this two-digit number and add the resulting number to the original number, you get 88. What is the original number?
Question 6 :
Baichung's father is 26 years younger than Baichung's grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of Baichung?
Question 10 :
Lakshmi is a cashier in a bank. She has currency notes of denominations $₹ 100, ₹ 50 and ₹ 10$, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is $₹$ 4,00,000. How many notes of $₹$ 50 does she have?
Question 14 :
A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find the present age of the grandfather.
Question 15 :
The ages of Hari and Harry are in the ratio 5: 7. Four years from now, the ratio of their ages will be 3 :4. Find the present age of Hari.
Question 16 :
The sum of three consecutive multiples of 8 is 888. Find the multiples.
Question 18 :
The base of an isosceles triangle is $\frac{4}{3}$ cm. The perimeter of the triangle is $4\frac{2}{15}$ cm. What is the length of either of the remaining equal sides?
Question 19 :
There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate of $₹$ 100 per metre, it will cost the village panchayat $₹$ 75,000 to fence the plot. What are the dimensions of the plot?
Question 20 :
Aman's age is three times his son's age. Ten years ago, he was five times his son's age. Find the present age of Aman's son.
Question 22 :
Shobo's mother's present age is six times Shobo's present age. Shobo's age five years from now will be one third of his mother's present age. What is the present age of Shobo?
Question 24 :
The ages of Rahul and Haroon are in the ratio 5:7. Four years later, the sum of their ages will be 56 years. What are their present ages?
Question 25 :
The organizers of an essay competition decide that a winner in the competition gets a prize of $₹$ 100 and a participant who does not win gets a prize of $₹$ 25. The total prize money distributed is $₹$ 3000. Find the number of winners, if the total number of participants is 63.
Question 26 :
Sum of the digits of a two digit number is 9. When we interchange the digits, it is found that the resulting new number is greater than the original number by 27. What is the two-digit number?
Question 27 :
Amina thinks of a number and subtracts $\frac{5}{2}$ from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?
Question 30 :
I have a total of $₹$ 300 in coins of denomination $₹ 1, ₹ 2 and ₹ 5$. The number of $₹$ 2 coins is 3 times the number of $₹$ 5 coins. The total number of coins is 160. How many coins of $₹$ 2 are with me?
Question 31 :
Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him $₹$ 50 per metre and trouser material that costs him $₹$ 90 per metre. For every 2 metres of the trouser material, he buys 3 metres of the shirt material. He sells the materials at 12% and 10% profit respectively. His total sale is $₹$ 36,600. How much trouser material did he buy?
Question 32 :
If you subtract $\frac{1}{2}$ from a number and multiply the result by $\frac{1}{2}$, you get $\frac{1}{8}$. What is the number?
Question 35 :
A rational number is such that when you multiply it by $\frac{5}{2}$ and add $\frac{2}{3}$ to the product, you get $\frac{-7}{12}$. What is the number?
Question 36 :
A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new number becomes twice the other new number. What are the numbers?
Question 38 :
Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers?
Question 41 :
Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.
Question 43 :
The ages of Hari and Harry are in the ratio 5: 7. Four years from now, the ratio of their ages will be 3 :4. Find the present age of Harry.
Question 44 :
I have a total of $₹$ 300 in coins of denomination $₹ 1, ₹ 2 and ₹ 5$. The number of $₹$ 2 coins is 3 times the number of $₹$ 5 coins. The total number of coins is 160. How many coins of $₹$ 5 are with me?
Question 45 :
Baichung's father is 26 years younger than Baichung's grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of Baichung's father?
Question 47 :
The number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. What is the total class strength?
Question 48 :
The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is $\frac{3}{2}$. Find the rational number.
Question 49 :
Lakshmi is a cashier in a bank. She has currency notes of denominations $₹ 100, ₹ 50 and ₹ 10$, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is $₹$ 4,00,000. How many notes of $₹$ 100 does she have?
