Page 250 - Math Genius C5

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\ 08-Oct-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________

Chapter 2: Operations on Large Numbers 3. (a) 1 (b) 1 (c) 6574 (d) 0 (e) 4032
4. (a) – (iii) (b) – (i) (c) – (v) (d) – (vi) (e) – (ii) (f) – (iv)
Let’s ReCALL 5. (a) `2304 (b) 403 (c) `226 (d) 9980 boxes
1. 4,19,086 2. 24,34,335 3. 1,11,05,125 4. `28
Practice time 2A Practice time 2e
1. (a) 88,21,401 (b) 99,21,419 (c) 95,29,399 (d) 86,59,024 1. (a) 40,000 (b) 3,00,000 (c) 6,30,000 (d) 500
2.
3. 50
(b) `25,000
(a) `65,000
(c) `6,99,000
(e) 10,62,694 (f) 16,47,505 4.
2. (a) 80,04,272 (b) 6,66,55,762 5. Actual sum = 10,51,370, estimated sum = 10,50,000
(c) 12,56,16,706 (d) 10,89,90,011 Actual product = 11,28,176, estimated product = 8,00,000
3. (a) 5 4 3 6 8 (b) 6 3 4 3 6 8 6. 10,00,000 votes
+ 6 3 8 3 2 + 4 9 3 6 4 Practice time 2F 3. 75 4. 3704 5. 1385 6. 5
1.
16
2. 23
1 1 8 2 0 0 6 8 3 7 3 2 7. 44 8. 21 9. 20 10. 333 11. 67 12. 29
(c) 7 2 6 4 3 8 (d) 7 1 4 6 3 6 Practice time 2G
+ 2 5 4 8 4 3 + 1 5 4 3 4 2 1. 3 2. 1755 3. 277 4. 102 5. 0 6. 4
7. 25 8. 832 9. 440 10. 1870
9 8 1 2 8 1 8 6 8 9 7 8
Challenge Question (Page 51)
(e) 5 3 6 4 3 6 (f) 8 7 3 6 4 1. A = 1 2. 2 7 9 7
+ 6 2 3 4 2 9 + 4 6 3 7 2 124 – 3 4 6 8 9 6
2 4 8
1 1 5 9 8 6 5 1 3 3 7 3 6 9 8 8
4. (a) 26,458 (b) 4,36,483 (c) 0 (d) 0 – 8 6 8
5. (a) 669 (b) 794 (c) 2205 (d) 1227 1 2 0 9
6. (a) 10,45,273 toy cars (b) 1,20,467 students – 1 1 1 6
(c) 2,79,214 people (d) 1,53,903 letters 9 3 6
Practice time 2B – 8 6 8
8 6 8
1. (a) 9,91,081 (b) 2,47,64,271 (c) 17,75,336 (d) 72,44,065 Chapter Assessment
(e) 12,56,702 (f) 56,00,306
2. (a) 4,70,005 (b) 25,92,072 (c) 37,42,763 (d) 5,32,77,165 1. (a) (i) (b) (iii) (c) (i) (d) (iii)
(e) 2,72,77,165 (f) 66,66,667 2. 1,42,93,219 voters 3. ₹13,88,640
4. 1,15,736 litres, ₹55,55,328 5. 5691 loaves
3. (a) 5 2 7 3 6 4 (b) 6 0 8 0 9 0 6. 248 km
– 1 1 2 9 1 8 – 1 8 0 5 0 8 7. 34999, 35400, 35499, 35444, 34766 (answer may vary)
4 1 4 4 4 6 4 2 7 5 8 2 8. Apruv 9. 35,400 pages
(c) 4 7 6 4 3 6 (d) 5 7 3 6 9 4 10. (a) (17 – 7) × 5 (b) (26 + 8) – 9 (c) (72 – 16) + 25
(d) 36 ÷ (13 – 7) (e) (16 + 8) ÷ (9 – 3)
– 2 3 9 4 8 2 – 2 9 4 8 3 3 11. 4 × 5 – 6 12. `167
2 3 6 9 5 4 2 7 8 8 6 1 13. (a) 0 (b) 145
(e) 6 7 3 6 4 8 (f) 8 4 0 3 6 5 14. (a) ÷ (b) + (c) + (d) –
Mental Maths (Page 54)
– 4 1 7 3 4 2 – 5 2 9 6 3 7 1. (d) 2. (c) 3. (a) 4. (d) 5. (b)
2 5 6 3 0 6 3 1 0 7 2 8
4. (a) 8,67,383 (b) 0 (c) 4,20,804 (d) 1 Chapter 3: Factors and Multiples
(e) 0 (f) 2,43,646 Let’s ReCALL
5. (a) 65,59,406 (b) 9,07,88,652 (c) 7,78,67,778 (d) 2,45,48,933 1.
6. (a) Nine crore one (b) 6,89,61,934 4. 1, 67 2. 35, 42, 49, 77, 56 3. 30
(c) Candidate A; 1,47,983 votes (d) 4,42,357 bags (a) T (b) F (c) F (d) T
(e) 65,699 bricks (f) Anil; 2,73,310 Practice time 3A
Practice time 2C 1. (a) 1 (b) number itself (c) 1 (d) 0
1. (a) 3,15,249 (b) 21,01,580 (c) 24,15,564 (d) 1,05,39,072 (e) 2 (f) less, equal (g) 1, 2, 3, 6
(e) 86,43,404 (f) 56,99,610 (g) 86,27,850 (h) 1,46,48,810 2. (a) 1, 3, 9 (b) 1, 2, 4, 8, 16 (c) 1, 2, 4, 7, 14, 28
2. (a) 75,570 (b) 78,05,100 (c) 4,65,500 (d) 97,43,500 (d) 1, 2, 4, 8, 16, 32 (e) 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
(e) 7,26,300 (f) 50,90,000 (f) 1, 3, 5, 9, 15, 45
3. (a) 60 (b) 0 (c) 100 × 5 or 5 × 100 (g) 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
(d) 5566 (e) 500, 16 (h) 1, 3, 9, 27, 81 (i) 1, 2, 4, 5, 10, 20, 25, 50, 100
4. (a) – (iii) (b) – (iv) (c) – (i) (d) – (ii) (e) – (vi) (f) – (v) (j) 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
5. (a) 2,00,000 (b) 19,500 (c) 1,55,000 (d) 40,000 3. No
(e) 4,36,500 (f) 3,36,400 (g) 1,00,000 (h) 6,66,600 4. (a) No (b) No (c) No (d) Yes
(i) 20,05,000
6. (a) 300 (b) 1200 (c) 490 (d) 4200 (e) 1100 Practice time 3B
(f) 1300 (g) 9500 (h) 10100 1. (a) 7 (b) even (c) 1, itself (d) 0 (e) 9
7. (a) 468 (b) 336 (c) 2325 (d) 1276 (e) 3332 2. (a) 11, 22, 33, 44, 55 (b) 13, 26, 39, 52, 65
(f) 2652 (g) 19,701 (h) 19,899 (c) 18, 36, 54, 72, 90 (d) 24, 48, 72, 96, 120
8. (a) `4,79,850 (b) 4,57,500 litres (e) 75, 150, 225, 300, 375
(c) 6,75,000 toys (d) 38,998 litres; `18,71,904 3. (a) 384 (b) 500 (c) 1152
Practice time 2D (d) 18, 36, 54, 72, 90 (e) 11, 33, 55, 77, 99
1. (a) Q = 30,637, R = 3 (b) Q = 1,25,149, R = 5 (c) Q = 45,559, R = 11 4. (a) 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176,
(d) Q = 18,967, R = 22 (e) Q = 10,307, R = 63 (f) Q = 1284, R = 36 187, 198
(g) Q = 3795, R = 164 (h) Q = 1601, R = 22 (b) 125, 150, 175, 200 (c) 152 (d) 15, 30, 45, 60, 75, 90
2. (a) 10,231 (b) 3,23,128 5. (a) No (b) No (c) No (d) Yes

248 Mathematics-5