The DAV Class 5 Maths Book Solutions Pdf and **DAV Class 5 Maths Chapter 2 Brain Teasers** Solutions of Operations on Large Numbers offer comprehensive answers to textbook questions.

## DAV Class 5 Maths Ch 2 Brain Teasers Solutions

Question 1.

Tick (✓) the correct answer.

(a) The sum of the greatest 4-digit number and the smallest 6-digit number is ______

(i) 1099999

(ii) 109999

(iii) 900000

(iv) 199999

Solution:

Greatest 4-digit number = 9999

Smallest 6-digit number = +100000

Sum = 109999

So, option (ii) 1,09,999 is correct.

(b) 9999 ÷ 99 = ______

(i) 11

(ii) 101

(iii) 99

(iv) 110

Solution:

So, option (ii) 101 is correct.

(c) Digit in the one’s place of the product of 783 and 896 is ________

(i) 9

(ii) 2

(iii) 8

(iv) 6

Solution:

Product of one place of 783 and 896

= 3 × 6

= 18

So, option (iii) is correct.

(d) Digit in the hundreds place of the difference of 53883 and 41834 is __________

(i) 9

(ii) 2

(iii) 0

(iv) 4

Solution:

53883 – 41834 = 12049

So, option (iii) is correct.

(e) Tens digit in the sum of 13846, 62381, 57402 is __________

(i) 2

(ii) 3

(iii) 4

(iv) 5

Solution:

13846 + 62381 + 57402 = 133629

So, option (i) is correct.

Question 2.

Replace by the correct digit.

Solution:

Question 3.

Find the product.

(a) 9,80,406 × 708

Solution:

(b) 5,67,894 × 625

Solution:

Question 4.

Divide

(a) 99,99,999 ÷ 9,999

Solution:

(b) 6,85,432 ÷ 234

Solution:

Question 5.

Subtract 93,84,236 from the sum of 3,95,08,625 and 74,38,906.

Solution:

Question 6.

The total number of men, women, and children in a state is 93,86,493. If the number of men is 26,38,755 and that of women is 25,29,431, find the number of children.

Solution:

To find the number of children we have to subtract the total population from no. of men & no. of women.

No. of men = 2638755

No. of women = +2529431

No. of men and women = 5168186

Total no. of population = 9386493

No. of men and women = -5168186

No. of children = 4218307

Number of children is 42,18,307.

Question 7.

A dealer purchased 285 washing machines. If the cost of one washing machine is ₹ 9,825, find the cost of the purchased washing machines.

Solution:

Cost of 1 machine= ₹ 9,825

Costof285 machines = ₹ 9825 × 285 = ₹ 28,00,125

The cost of the purchased washing machines is ₹ 28,00,125.

Question 8.

Find the product of the greatest 5-digit and 3-digit numbers.

Solution:

Greatest 5-digit number = 99999

Greatest 3-digit number = 999

Their Product = 99999 × 999 = 99899001

Question 9.

An engine pumps 2,85,000 litres of water in five hours. How many litres of water will the engine pump in one minute?

Solution:

1 hour = 60 minutes

5 hour = 300 minutes

In 300 minutes engine pumps water = 285000 litres.

In 1 minute engine pumps water = 285000 ÷ 300 = 950 litres

Question 10.

Find the value of 5,43,86,291 + 1,09,853 – 96,298.

Solution:

Additional Questions:

Question 1.

Tick (✓) the correct answer.

(a) Digit in one place of the product of 189 and 179 is

(i) 1

(ii) 9

(iii) 3

(iv) 6

Solution:

(i) 1

(b) The sum of the greatest 5-digit number and the smallest 6-digit number is

(i) 10999

(ii) 199999

(iii) 198699

(iv) 199969

Solution:

(ii) 199999

(c) Digit in the tens place of the difference of 68719 and 32160 is

(i) 4

(ii) 5

(iii) 6

(iv) 7

Solution:

(ii) 5

(d) Digit in the hundreds place of the sum of 13502, 78961, and 57302 is

(i) 5

(ii) 6

(iii) 1

(iv) 8

Solution:

(iii) 1

Question 2.

Add.

(a) 50,71,993; 23,73,473; 38,21,344

Solution:

(b) 5,32,373; 17,00,299; 56,37,133

Solution:

(c) 5,46,113; 3,43,23,220; 9,43,56,117

Solution:

Question 3.

Subtract.

(a) 4,89,94,290 from 9,70,30,490

Solution:

(b) 37,97,789 from 5,26,87,870

Solution:

(c) 58,70,130 from 2,70,30,390

Solution:

Question 4.

Multiply large numbers.

(a) 26,330 × 490

Solution:

(b) 10,410 × 385

Solution:

(c) 7931 × 4132

Solution:

Question 5.

Divide and check the answer.

(a) 59,70,280 ÷ 273

Solution:

Check:

Dividend = Divisor × Quotient + Remainder

R.H.S = 273 × 21869 + 43

= 5970237 + 43

= 5970280

= L.H.S

So the answer is correct.

(b) 56,970 ÷ 180

Solution:

Check:

Dividend = Divisor × Quotient + Remainder

R.H.S =180 × 316 + 90

= 56880 + 90

= 56970

= R.H.S

So the answer is correct.

(c) 15,40,130 ÷ 75

Solution:

Check:

Dividend = Divisor × Quotient + Remainder

R.H.S = 75 × 20535 + 5

= 1540125 + 5

= L.H.S.

So the answer is correct.

(d) 9,00,763 ÷ 27

Solution:

Check:

Dividend = Divisor × Quotient + Remainder

R.H.S = 27 × 33361 + 16

= 900747 + 16

= 900763

= L.H.S

So the answer is correct.

Question 6.

A man earns ₹ 80,350 every month. He spent ₹ 50,450 every month. What is his saving in 2 months.

Solution:

Total earning = ₹ 80350

Spent = – ₹ 50450

Saving = 29900

Saving in 1 month = ₹ 29,900

Saving in 2 months = 2 × ₹ 29900 = ₹ 59800

His saving is ₹ 59800 in 2 months.

Question 7.

A dealer purchased 180 A.C. If the cost of one A.C. is ₹ 35,780, find the cost of purchased A.C.’s.

Solution:

A dealer purchased 180 A.C.

Cost of one A.C. = ₹ 35,780

Cost of 180 A.C.’s = 180 × ₹ 35,780 = ₹ 64,40,400