Question 1 :
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 2 :
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 3 :
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?
Question 6 :
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 8 :
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 10 :
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 12 :
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 14 :
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 16 :
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 $₹$ 1 are with me?
Question 17 :
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 19 :
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 20 :
The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and the breadth of the pool?
Question 21 :
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 23 :
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 24 :
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 $₹$ 10 does she have?