A car travels 420 2 5 km in 4 1 5 hours. Find its speed.

According to the question, Total distance travelled by the car = 420 2 5 = 2102 5 km Time taken to travel = 4 1 5 hours = 21 5 hours S p e e d = D i s tan c e T i m e = 2102 5 21 5 = 2102 21 = 100 . 095 km/h Hence, the correct answer is 100 . 095 k m / h .

Area of a rectangle is 83 3 4 m 2 . If one side of the rectangle is 12 1 2 m , find the other.

According to the question, Area of the rectangle = 83 3 4 m 2 = 335 4 m 2 Length of the rectangle = 25 2 m L e n g t h × B r e a d t h = 25 2 × B r e a d t h = 335 4 B r e a d t h = 335 4 25 2 = 335 × × 2 4 × 25 = 670 100 = 6 . 7 Hence, the correct answer is 6 . 7 m

An egg costs ₹ 5 1 4 . How many eggs does a carton of ₹ 840 contain?

Given, Cost of an egg = ₹ 5 1 4 Total amount expense for eggs = ₹ 840 Total number of eggs = Total amount Cost of an egg = 840 5 1 4 Now, convert the mixed fraction into improper fraction. = 840 21 4 = 840 × 4 21 = 40 × 4 = 160 eggs

11 small ropes are cut from 7 1 3 m long rope. Find the length of each of the small ropes.

Given, 11 small ropes are cut from 7 1 3 m long rope. Length of each of the small ropes = Total length of the rope Number of pieces of small ropes = 7 1 3 11 Now, convert the mixed fraction into improper fraction. = 7 × 3 + 1 3 11 = 22 3 11 = 22 3 × 11 = 2 3 m Hence, Length of each of the small ropes is 2 3 m .

The product of two numbers is 5 6 . If one of the numbers is 7 2 , find the other number.

Given, Product of two numbers is 5 6 . One of the numbers is 7 2 . Let the other number will be x . According to the question, 7 2 × x = 5 6 ⇒ x = 5 × 2 6 × 7 ⇒ x = 10 42 ∴ x = 5 21 Hence, the other number is 5 21 .

25 pairs of shorts of equal size were prepared from 13 11 28 metres of cloth. How much cloth was used for each pair of shorts?

Given, 25 pairs of shorts of equal size were prepared from 13 11 28 metres of cloth. At first, convert the mixed fraction into improper fraction. So, 13 11 28 = 13 × 28 + 11 28 ⇒ 375 28 Cloth used for each pairs of shorts = Cloth used for 25 pairs of shorts Total number of shorts = 375 28 25 = 375 25 × 28 = 15 28 metre Hence, 15 28 metre cloth was used for each pairs of shorts.

15 chairs were purchased by a school for ₹ 1706 1 4 . Find the cost of each chair.

Given, Cost price of 15 chairs is ₹ 1706 1 4 . At first, convert the mixed fraction into improper fraction. So, ₹ 1706 1 4 = ₹ 1706 × 4 + 1 4 ⇒ ₹ 6825 4 Cost price of a chair = Cost price of 15 chairs Number of chairs = 6825 4 15 = 6825 4 × 15 = 455 4 = ₹ 113 3 4 Hence, Cost price of each chair will be ₹ 113 3 4 .