The DAV Class 4 Maths Book Solutions and **DAV Class 4 Maths Chapter 4 Brain Teasers **Solutions of Division offer comprehensive answers to textbook questions.

## DAV Class 4 Maths Ch 4 Brain Teasers Solutions

Question 1.

Tick (✓) the correct answer.

(a) There are _______ dozens in 264.

(i) 44

(ii) 22

(iii) 13

(iv) 11

Answer:

(ii) 22

(b) 2 lakhs × _______ = 20 Lakhs

(i) 0

(ii) 10

(iii) 1

(iv) 100

Answer:

(ii) 10

(c) 7 × 3 × 0 × 5 = _______

(i) 21

(ii) 15

(iii) 0

(iv) 105

Answer:

(iii) 0

(d) If divisor = 7, Remainder = 3, Quotient = 3 then, Dividend =

(i) 13

(ii) 16

(iii) 21

(iv) 24

Answer:

(iv) 24

(e) Product of the greatest 2-digit number and the smallest 3-digit number is _______

(i) 990

(ii) 9000

(iii) 99000

(iv) 9900

Answer:

(iv) 9900 (99 × 100)

Question 2.

Solve the following sums.

(a) 3,282 × 213

Answer:

(b) 19,816 × 6

Answer:

(c) 4,172 ÷ 26

Answer:

Q = 160

R = 12

(d) 14,865 ÷ 15

Answer:

Q = 991

R = 0

Question 3.

Replace ★ by the correct number.

(a)

Answer:

(b) 432 ÷ ★ = 24

Answer:

(c) ★÷ 60 = 10

Answer:

Let the number be x

x = 60 × 10

= 600

(d)

Answer:

Question 4.

Divide and check the answer.

(a) 2,000 by 12

Answer:

Check the answer

Dividend = Divisor × Q + R

L.H.S. = 2000

R.H.S. = 12 × 166 + 8

= 1992 + 8

= 2000

∴ R.H.S = L.H.S

(b) 7682 by 45

Answer:

Check the answer

Dividend = Divisor × Q + R

L.H.S. = 7682

R.H.S. = 45 × 170 + 32

= 7650 + 32

= 7682

∴ R.H.S = L.H.S

Question 5.

Given that 270×15 = 4,050, find the product.

(a) 270 × 16

Answer:

270 × 15 4,050

(a) 270 × 16

= 270 × (15 + 1) (using distributive property)

= 270 × 15 + 1 × 270

= 4050 + 270

= 4,320

(b) 270 × 14

Answer:

270 × 14

270 × (15 – 1)

(using distributive property)

= 270 × 15 – 270 × 1

= 4050 – 270

= 3,780

Question 6.

What is the total cost of fencing ₹ 275 plots of land if the cost of fencing one plot of land is 950?

Answer:

1 plot has cost of fencing = ₹ 950

275 plots have cost of fencing = 950 × 275

= ₹ 2,61,250

Thus, total cost of fencing 275 plots of land is ₹ 2,61,250.

Question 7.

Fill in the blanks.

(a) 7,612 × ____ = 40 × 7,612

Answer:

40

(b) ____ × 1 = 89,210

Answer:

89,210

(c) 515 × ____ × 18 = 5 × ____ × 18

Answer:

5, 515

(d) 10 × ____ = 8,000

Answer:

800

(e) 176 ÷ ____ = 176

Answer:

1

(f) ____ ÷ 82 = 0

Answer:

0

(g) If 85,715 ÷ 35 = 2,449 then 85,715 ÷ 2,449 = ____

Answer:

35

(h) 7,542 ÷ 100, quotient = ____ and remainder = ____

Answer:

7, 542

Additional Questions

Question 1.

Divide and find the quotient and remainder.

(i) 20566 by 99

Answer:

Q = 207

R = 63

(ii) 7708 by 28

Answer:

Q = 275

R = 8

(iii) 9548 by 38

Answer:

Q = 251

R = 10

(iv) 9871 by 29

Answer:

Q = 340

R = 11

(v) 9025 by 85

Answer:

Q = 106

R = 15

Question 2.

Solve the following:

(i) dividend = 5940 and divisor = 54, find quotient.

(ii) dividend = 7560 and quotient = 63, find divisor.

In both cases check your answer.

Answer:

Dividend = 5940, divisor = 54

Checking:

Dividend = Divisor × Q + R

R.H.S. =54 × 110 + 0

= 5940 + 0

= 5940

∴ R.H.S. = L.H.S.

(ii) Dividend = 7560 and quotient = 63

Dividend = Divisor × Q + R

7560 = Divisor × 63

\(\frac{7560}{63}\) = Divisor

Divisor = 120

Question 3.

Using the rule of division by 10, 100 and 1000. Find the quotient and the remainder for each of the following.

(a) 4807 ÷ 10

(b) 9436 ÷ 10

(c) 75311 ÷ 100

(d) 13560 ÷ 100

(e) 371351 ÷ 1000

(f) 473522 ÷ 1000

Answer:

(a) 4807 ÷ 10

Q = 480

R = 7

(b) 9436 ÷ 10

Q = 943

R = 6

(c) 75311 ÷ 100

Q = 753

R = 11

(d) 13560 ÷ 100

Q = 135

R = 6

(e) 371351 ÷ 1000

Q = 371

R = 351

(f) 473522 ÷ 1000

Q = 473

R = 522

Question 4.

5 ,301 balls are packed equally in 93 boxes. How many balls are packed in each box?

Answer:

Number of balls in 93 boxes = 5301

Number of balls in 1 box = 5301 ÷ 93

Question 5.

The product of two numbers is 8855. If one of the number is 23. Find the other number.

Answer:

Product of two numbers = 8855

one number = 23

∴ other number = 8855 ÷ 23

= 385

Question 6.

Fill in the blanks:

(i) We start division from the extreme ______ of dividend.

Answer:

left

(ii) We cannot divide a number by ____.

Answer:

0

(iii) The quotient and dividend are equal when divisor is ____.

Answer:

1

(iv) dividend = divisor × ____ + ____.

Answer:

Quotient, Remainder