I have a total of Rs. 300 in coins of denomination Rs. 1, Rs.2 and Rs. 5. The number of Rs. 2 coins is 3 times the number of Rs.5 coins. The total number of coins is 160.How many coins of each denomination are with me?

5

(a)

Divide 34 into two parts in such a way that \(\left( \frac { 4 }{ 7 } \right) \) th of one part is equal to \(\left( \frac { 2 }{ 5 } \right) \) th of the other.

5

(a)

The length of a rectangle exceeds its breadth by 4 cm. If length and breadth are each increased by 3 cm then area of new rectangle will be 81 cm² more than that of the given rectangle. Find the length and breadth of the given rectangle.

5

(a)

The difference between the squares of two consecutive numbers is 31. Find the numbers.

5

(a)

Five years ago, a man was seven times as old as his son. Five years after, the father will be three times as old as his son. Find their present ages.

5

(a)

The volume of water in a tank is twice of that in the other. If we draw out 25 L from the first and add it to the other, the volumes of the water in each tank will be the same.
(a) Find the volume of water in each tank.
(b) Also, check your answer.
(c) What do you understand from a scale?

5

(a)

Denominator of a number is 4 less than its numerator. If 6 is added to the numerator, it becomes thrice the denominator. Find the fraction.

5

(a)

Hamid has three boxes of different fruits. Box A weights 2\(\frac { 1 }{ 2 } \) kg more than box B and box C weights 10 \(\frac { 1 }{ 4 } \)  kg more than box B. The total  weights of the three boxes is 48\(\frac { 3 }{ 4 } \)  How  many kilograms does box A weigh?  

5

(a)

In a rare coin collection, there is one gold coin for every three non-gold coins. If 10 more gold coins are added to the collection, the ratio of gold coins to non-gold coins becomes 1 : 2. Based on the information, find the total number of coins in the collection now?

5

(a)

The digits of a two digit number differ by 5. If the digits are interchanged and the resulting number is added to the original number, then we get 99. Find the original number.

5

(a)