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