## NCERT Solution Exercise 1.2 – part2 Question 5 to 9

**Question (5)** Find the difference between the greatest and the least number that can be written using the digits 6, 2, 7, 4, 3 each only once.

**Solution**

Given digits are 6, 2, 7, 4, and 3

Thus the greatest number writing each digit only once = 76,432 (Seventy six thousand four hundred thirty two)

And, the smallest number by writing each digit only once = 23,467 (Twenty three thousand six hundred sixty seven)

Now, the difference between the greatest and smallest number = The greatest number – The smallest number

= 76,432 – 23,467

= 52,965 (Fifty two thousand nine hundred sixty five)

Thus, the difference between the greatest and smallest number = 52,965 **Answer**

**Question (6)** A machine, on an average, manufactures 2,825 screws a day. How many screws did it produce in the month of January 2006?

**Solution**

Given,

Number of screws manufactured per day = 2,825 (Two hundred eight hundred twenty five)

Thus total number of screws manufactured in January 2006 = ?

Number of days in the month of January = 31

Therefore, total number of screws manufactured in January i.e. in 31 days

= Number of screws manufactured in 1 day × 31

= 2,825 × 31

= 87,575 (Eighty seven thousand five hundred seventy five)

Thus, number of screws manufactured in January 2006= 87,575 **Answer**

**Question (7)** A merchant had Rs 78,592 with her. She placed an order for purchasing 40 radio sets at Rs 1200 each. How much money will remain with her after the purchase?

**Solution**

Given,

Given,

Money merchant had = Rs 78,592 (Seventy eight thousand five hundred ninety two)

Price of one radio = Rs 1,200 (One thousand two hundred)

Total number of radio ordered = 40

Thus, money will remain after the purchase of radio = ?

Total price of radio = Price of one radio × 40

= Rs 1,200 × 40

= 48,000 (forty eight thousand)

Total price of radio ordered by the merchant = 48,000 (forty eight thousand)

Thus, money will remain with merchant after purchasing of radio

= Total money the merchant had – Price of total radio

= Rs 78,592 – Rs 48,000

= Rs 30,592 (Thirty thousand five hundred ninety two)

Thus, money will remain with merchant after purchase of radio = Rs 30,592 **Answer**

**Question (8)** A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer? (Hint: Do you need to do both the multiplications?)

**Solution**

The result after incorrect multiplication = 7236 × 65

= 4,70,340 (Four lakh seventy thousand three hundred forty)

The result of multiplication by multiplying the number with correct number

= 7236 × 56

= 4,05,216 (Four lakh five thousand two hundred sixteen)

Thus difference in answer = result of incorrect multiplication – result of correct multiplication

= 4,70,340 – 4,05,216

= 65,124 (Sixty five thousand one hundred twenty four)

Thus, his answer was 65,124 greater than the correct answer **Answer**

**Question (9)** To stitch a shirt, 2 m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be stitched and how much cloth will remain? (Hint: convert data in cm.)

**Solution**

Given, cloth required to stitch one shirt = 2 m 15 cm

Total cloth available = 40 m

Thus, number of shirts can be stitched and after stitching length of remain cloth = ?

Cloth required to stitch one shirt = 2 m 15 cm

(To calculate we need to convert the cloth required in either meter or in centimetre)

We know that 1 meter = 100 cm

Therefore, 2 m = 2 × 100 cm = 200 cm

Thus, cloth required to stitch one shirt

= 200 cm + 15 cm = 215 cm

And cloth available = 40 m

= 40 × 100 cm = 4000 cm

Now total number shirts can be stitched using given cloth

= ^{Total length of cloth available}/_{Cloth required for 1 shirt}

= ^{4000 cm}/_{215 cm}

= 18 ^{1}/_{130}

Thus, total number of shirts can be made = 18, And cloth left = 130 cm

Now to know the cloth left in meter, we need to convert 130 cm into meter

Thus, 130 cm = ^{130}/_{100} m

= 1.3 m

= 1 meter + 0.3 meter

Now, 0.3 meter = 0.3 × 100 cm = 30 cm

Thus, 0.3 meter = 30 cm

Thus, cloth left = 1 meter 30 cm

Thus, number of shirts can be stitched = 18 and cloth left 1 meter 30 cm **Answer**