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E:\Working\Focus_Learning\Math_Genius_5_(05-10-2023)\Open_Files\Answers
\\November 23, 2023 5:09 PM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74

Chapter 2: Operations on Large Numbers Practice Time 2E
Let’s Recall 1. (a) 40000 (b) 300000 (c) 630000 (d) 500
2.
1. 4,19,086 2. 24,34,335 3. 1,11,05,125 4. `28 3. (a) `65000 (b) `25000 (c) `699000
33
Practice Time 2A 4. Actual sum = 1051370, estimated sum = 1050000
1. (a) 1,08,21,401 (b) 1,33,21,419 (c) 1,45,29,399 (d) 86,59,024 5. Actual product = 1128176, estimated product = 800000
(e) 7,62,694 (f) 16,47,505 6. 1000000 votes
2. (a) 80,04,272 (b) 6,66,55,762 (c) 12,56,16,706 Practice Time 2F
(d) 10,89,90,011 (e) 10,24,12,354 (f) 9,78,02,399 1. 16 2. 23 3. 75 4. 3704 5. 1385 6. 5
3. (a) 5 4 3 6 8 (b) 6 3 4 3 6 8 7. 44 8. 21 9. 20 10. 333 11. 67 12. 29
+ 6 3 8 3 2 + 4 9 3 6 4 Practice Time 2G
1 1 8 2 0 0 6 8 3 7 3 2 1. 3 2. 1755 3. 277 4. 102 5. 0 6. 4
7. 25 8. 832 9. 440 10. 1870
(c) 7 2 6 4 3 8 (d) 7 1 4 6 3 6 Practice Time 2H
+ 2 5 4 8 4 3 + 1 5 4 3 4 2 1. (a) 24 (b) `79 (c) 85 cm (d) 10 hours
9 8 1 2 8 1 8 6 8 9 7 8 2. (a) 7 (b) 4.5 (c) 11 (d) 8.2
3. 63.4 runs 4. 768 5. ₹96 6. 20 wickets
(e) 5 3 6 4 3 6 (f) 8 7 3 6 4 7. 92 marks 8. 780 students
+ 6 2 3 4 2 9 + 4 6 3 7 2 Brain Sizzlers
1 1 5 9 8 6 5 1 3 3 7 3 6 1. A = 1
4. (a) 26458 (b) 436483 (c) 0 (d) 0 (e) 1 2. 2 7 9 7
5. (a) 10,45,273 (b) 1,20,467 (c) 2,79,214 (d) 1,53,903 124 3 4 6 8 9 6
(e) 45,17,26,910 – 2 4 8
9 8 8
Practice Time 2B – 8 6 8
1. (a) 9,91,081 (b) 2,47,64,271 (c) 17,75,336 (d) 72,44,065 1 2 0 9
(e) 12,56,702 (f) 56,00,306 – 1 1 1 6
2. (a) 4,70,005 (b) 25,92,072 (c) 37,42,763 (d) 5,32,77,165 9 3 6
(e) 2,72,77,165 (f) 66,66,667 – 8 6 8
8 6 8
3. (a) 5 2 7 3 6 4 (b) 6 0 8 0 9 0 Chapter Assessment
– 1 1 2 9 1 8 – 1 8 0 5 0 8 1. (a) – (i) (b) – (iii) (c) – (i) (d) – (iii)
4 1 4 4 4 6 4 2 7 5 8 2 2. 1,42,93,219 votes 3. ₹13,88,640
(c) 4 7 6 4 3 6 (d) 5 7 3 6 9 4 4. 115736 litres, ₹55,55,328 5. 5691 loaves
6.
– 2 3 9 4 8 2 – 2 9 4 8 3 3 8. 248 km 7. 58 pages
34999, 35400, 35499, 35444, 34766 (answer may vary)
2 3 6 9 5 4 2 7 8 8 6 1 9. Apruv 10. 35,400 pages
(e) 6 7 3 6 4 8 (f) 8 4 0 3 6 5 11. (a) (17 – 7) × 5 (b) (26 + 8) – 9 (c) (72 – 16) + 25
(d) (13 – 7) ÷ 36 (e) (16 + 8) ÷ (9 – 3)
– 4 1 7 3 4 2 – 5 2 9 6 3 7 12. 4 × 5 – 6
2 5 6 3 0 6 3 1 0 7 2 8 13. `167
4. (a) 8,67,383 (b) 0 (c) 4,20,804 (d) 1 14. (a) 0 (b) 145
(e) 0 (f) 2,43,646 15. (a) ÷ (b) + (c) + (d) –
5. (a) 65,59,406 (b) 9,07,88,652 (c) 7,78,67,778 (d) 2,45,48,933 Mental Maths
6. (a) Nine crore one (b) 6,89,61,934 1. (d) 2. (c) 3. (a) 4. (d) 5. (b)
(c) Candidate A; 1,47,983 votes (d) 4,42,357 bags
(e) 65,699 bricks (f) 2,73,310 Chapter 3: Factors and Multiples
Practice Time 2C Let’s Recall
1. (a) 3,15,249 (b) 21,01,580 (c) 24,15,564 (d) 1,05,39,072 1. 1, 67 2. 35, 42, 49, 77, 56 3. 30
(e) 86,43,404 (f) 56,99,610 (g) 86,27,850 (h) 1,46,48,810 4. (a) T (b) F (c) F (d) T
2. (a) 75570 (b) 7805100 (c) 465500 (d) 9743500 Practice Time 3A
(e) 726300 (f) 5090000
3. (a) 60 (b) 0 (c) 100 × 5 or 5 × 100 1. (a) 1 (b) number itself (c) 1 (d) 0 (e) 2
(d) 5566 (e) 500, 16 (f) 708, 55, 25 (f) less, equal (g) 1, 2, 3, 6
4. (a) – (iii), (b) – (iv), (c) – (i), (d) – (ii), (e) – (vi), (f) – (v) 2. (a) 1, 3, 9 (b) 1, 2, 4, 8, 16 (c) 1, 2, 4, 7, 14, 28
5. (a) 200000 (b) 19500 (c) 155000 (d) 40000 (e) 436500 (d) 1, 2, 4, 8, 16, 32 (e) 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
(f) 336400 (g) 100000 (h) 666600 (i) 2005000 (f) 1, 3, 5, 9, 15, 45 (g) 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
6. (a) `4,79,850 (b) 1,04,71,012 items (c) 4,57,500 litres (h) 1, 3, 9, 27, 81 (i) 1, 2, 4, 5, 10, 20, 25, 50, 100
(d) 6,75,000 toys (e) 38,998 litres, `18,71,904 (j) 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
(f) 99,99,900 (g) 111520 metre 3. No
Practice Time 2D 4. (a) No (b) No (c) No (d) Yes
1. (a) Q = 30637, R = 3 (b) Q = 125149, R = 5 (c) Q = 45559, R = 11 Practice Time 3B
(d) Q = 18967, R = 22 (e) Q = 10307, R = 63 (f) Q = 1284, R = 36 1. (a) 7 (b) even (c) 1, itself (d) 0 (e) 9
(g) Q = 3795, R = 164 (h) Q = 1601, R = 22 2. (a) 11, 22, 33, 44, 55 (b) 13, 26, 39, 52, 65
2. (a) 10231 (b) 323128 (c) 18, 36, 54, 72, 90 (d) 24, 48, 72, 96, 120
3. (a) 1 (b) 1 (c) 6574 (d) 0 (e) 4032 (e) 75, 150, 225, 300, 375
4. (a) – (iii), (b) – (i), (c) – (v), (d) – (vi), (e) – (ii), (f) – (iv) 3. (a) 384 (b) 500 (c) 1152 (d) 18, 36, 54, 72, 90
5. (a) `2304 (b) 403 (c) `226 (d) 9980 boxes (e) 11, 33, 55, 77, 99

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