disha simplification

1. 1
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DIRECTIONS (Qs. 1 to 28) : What will come in place of qustions
mark (?) in the following questions?
1. 19.99× 9.9+ 99.9 = ?
(a) 129.79 (b) 297.801
(c) 1009 (d) 296.91
(e) None of these
2. 3
99 21 ? 1968´ - =
(a) 1367631 (b) 111
(c) 366731 (d) 1367
(e) None of these
3.
2 5 3
? 790
7 6 8
´ ´ ´ =
(a) 8848 (b) 8246
(c) 8484 (d) 8868
(e) None of these
4. (41)2 + (38)2 × (0.15)2 = ?
(a) 3125.0225 (b) 1713.49
(c) 3125.15 (d) 59204.0225
(e) None of these
5. 100000 ?=
(a) 260 (b) 277
(c) 284 (d) 300
(e) 316
6. 456.675+35.7683×67.909–58.876 =?
(a) 33382 (b) 3587
(c) 1540 (d) 2756
(e) 2830
7. (7684+ 5454+ 9041)¸ (601+296 +557)=?
(a) 24 (b) 15
(c) 33 (d) 9
(e) 41
8. {(52)2 + (45)2} ¸ ? =8
(a) 611.345 (b) 487.225
(c) 591.125 (d) 372.425
(e) None of these
9. (64)4 ¸ (8)5 = ?
(a) (8)12 (b) (8)8
(c) (8)4 (d) (8)2
(e) None of these
10. (12.25)2 – 625 = ?
(a) 235.1625 (b) 125.0625
(c) 375.2625 (d) 465.3625
(e) None of these
11. 383 × 38 × 3.8 = ?
(a) 58305.8 (b) 57305.6
(c) 56305.4 (d) 55305.2
(e) None of these
12. 43.231 – 12.779 – 6.542 – 0.669 = ?
(a) 27.341 (b) 25.242
(c) 23.241 (d) 21.342
(e) None of these
13. 572 + 38 × 0.50 – 16 = ?
(a) 289 (b) 305
(c) 448 (d) 565
(e) None of these
14. 6269 + 0.75 × 444 + 0.8 × 185 = ? × 15
(a) 448 (b) 450
(c) 452 (d) 454
(e) 455
15.
3 2 11
? 1056
7 5 13
´ ´ ´ =
(a) 7280 (b) 7296
(c) 7308 (d) 7316
(e) 7324
ķŋŢĘĊķŋŜŕŝĊĤĊĝĚ ĸřĘĊřŐĊĻŝĘĊĝĚ ľœŗŏĊĤĊĜĚĊŗœŘĘ ĮŋŞŏĊĤĊĘĘĘĘĘĘĘĘĘęĘĘĘĘĘĘĘĘęĘĘĘĘĘĘĘĘĘĘĘĘĘĘĘĘ
ġ
RESPONSE
GRID
1. a b c d e 2. a b c d e 3. a b c d e 4. a b c d e 5. a b c d e
6. a b c d e 7. a b c d e 8. a b c d e 9. a b c d e 10. a b c d e
11. a b c d e 12. a b c d e 13. a b c d e 14. a b c d e 15. a b c d e
5
CHAPTER
7. SIMPLIFICATION
ĹŘŏĊřŐĊŞŒŏĊŖŏŋŎœŘőĊŚşŌŖœŝŒŏŜŝĊœŘĊijŘŎœŋĖĊĮœŝŒŋĊĺşŌŖœōŋŞœřŘĊŚŜřŠœŎŏŝĊŌřřŕŝĊŋŘŎĊŝŞşŎţĊŗŋŞŏŜœŋŖŝĊŐřŜ
ŝōŒřřŖŝĊŋŘŎĊŠŋŜœřşŝĊōřŗŚŏޜޜŠŏĊŏŢŋŗŝĊŌŏœŘőĊōřŘŞœŘşřşŝŖţĊŒŏŖŎĊŋōŜřŝŝĊŞŒŏĊōřşŘŞŜţĘĊĮœŝŒŋđŝĊŝřŖŏ
ŚşŜŚřŝŏĊœŝĊŞřĊŏŘōřşŜŋőŏĊŋĊŝŞşŎŏŘŞĊŞřĊőŏŞĊŞŒŏĊŌŏŝŞĊřşŞĊřŐĊŚŜŏŚŋŜŋŞœřŘĘĊĮœŝŒŋĊĺşŌŖœōŋŞœřŘĊřŐŐŏŜŝĊŋŘ
řŘŖœŘŏĊŌřřŕŝŞřŜŏĊŞřĊŒŏŖŚĊŝŞşŎŏŘŞŝĊŌşţĊŏŢŋŗĊŌřřŕŝĊřŘŖœŘŏĊšœŞŒĊŏŋŝŏĘĊŁŏĖĊŋŞĊĮœŝŒŋĊŚŜřŠœŎŏĊŋĊšœŎŏ
ŋŜŜŋţĊřŐĊĬŋŘŕĊęĊįŘőőĘęĊķŏŎœōŋŖĊĐĊĹŞŒŏŜĊĭřŗŚŏޜޜŠŏĊįŢŋŗĊŌřřŕŝĊŞřĊŒŏŖŚĊŋŖŖĊŞŒřŝŏĊŋŝŚœŜŋŘŞŝĊšŒř
šœŝŒĊŞřĊ ōŜŋōŕĊŞŒŏœŜĊ ŜŏŝŚŏōŞœŠŏĊŎœŐŐŏŜŏŘŞĊŖŏŠŏŖŝĊřŐĊ ĬŋŘŕĊęĊ įŘőőĘęĊķŏŎœōŋŖĊ ĐĊĹŞŒŏŜĊĭřŗŚŏޜޜŠŏ
ŏŢŋŗŝĘĊīŞĊĮœŝŒŋĊĺşŌŖœōŋŞœřŘĖĊšŏĊŝŞŜœŠŏĊŞřĊŌŜœŘőĊřşŞĊŞŒŏĊŌŏŝŞĊőşœŎŏŌřřŕŝĊŞŒŋŞĊŝŞşŎŏŘŞŝĊšřşŖŎĊŐœŘŎ
ŞřĊŌŏĊŞŒŏĊŗřŝŞĊşŝŏŐşŖĊŐřŜĊŋŖŖĊŕœŘŎĊřŐĊōřŗŚŏޜޜŠŏĊŏŢŋŗĘ
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2. 2
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16. 6138 + 317576 = ? × 9
(a) 676 (b) 729
(c) 784 (d) 841
(e) 961
17. ( ) ( ) ( )
( )
( )
7.5 1.75 2 ?
5
1
27 729 19683 27
19683
-
-
´ ¸ ¸ =
(a) 2 (b) 5
(c) 7 (d) 9
(e) 15
18. 31329 5´ = ?
(a) 855 (b) 865
(c) 875 (d) 885
(e) 895
19. (78700 ÷ 1748) + (3.79 × 121.24) = ?
(a) 305 (b) 415
(c) 525 (d) 635
(e) 745
20. 3 4
6080 74000 6560 ?¸ + =
(a) 30 (b) 80
(c) 130 (d) 170
(e) 210
21.
1 2 3
of of of 1715 ?
8 3 5
=
(a) 80 (b) 85
(c) 90 (d) 95
(e) 75
22. 25.05 × 123.95 + 388.999 × 15.001 =?
(a) 900 (b) 8950
(c) 8935 (d) 8975
(e) 8995
23. 561 ÷ 35.05 × 19.99 = ?
(a) 320 (b) 330
(c) 315 (d) 325
(e) 335
24. (15.01)2 × 730 ?=
(a) 6125 (b) 6225
(c) 6200 (d) 6075
(e) 6250
25. 4895 + 364 × 0.75 – 49 = ?
(a) 5119 (b) 3895
(c) 3907 (d) 5210
(e) None of these
26. 434.43 + 43.34 + 3.44 + 4 + 0.33 = ?
(a) 421.45 (b) 455.54
(c) 485.54 (d) 447.45
(e) None of these
27. (23.6% of 1254) – (16.6% of 834) = ?
(a) 159.5 (b) 157.5
(c) 155.5 (d) 153.5
(e) None of these
28. (78.95)2 – (43.35)2 = ?
(a) 4353.88 (b) 4305
(c) 4235.78 (d) 4148
(e) None of these
DIRECTIONS (Qs.29-30): What approximate value should
come in placeofthe question mark (?) in the following questions?
(Note: You are not expected to calculate the exact value.)
29. 9999 ¸ 99 ¸ 9 = ?
(a) 18 (b) 15
(c) 6 (d) 11
(e) 20
30. 23.001 × 18.999 × 7.998 = ?
(a) 4200 (b) 3000
(c) 3500 (d) 4000
(e) 2500
RESPONSE
GRID
16. a b c d e 17. a b c d e 18. a b c d e 19. a b c d e 20. a b c d e
21. a b c d e 22. a b c d e 23. a b c d e 24. a b c d e 25. a b c d e
26. a b c d e 27. a b c d e 28. a b c d e 29. a b c d e 30. a b c d e
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3. 3
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SOLUTIONS
1. (b)
2. (a) 3
? 99 21 1968 111= ´ - =
?= (111)3 =1367631
3. (a)
8 6 7
? 790
3 5 2
= ´ ´ ´ =79×8× 14 =8848
4. (b) ?= (41)2 + (38)2 × (0.15)2
1681+1444×0.0225
1681+32.49=1713.49
5. (e) ? 100000=
100 100 10 100 10 100 3.162´ ´ = = ´
=316.2» 316.
6. (e) ?=456.675+35.7683×67.909–58.876
=456.675+2428.98–58.876
= 2885.66– 66– 58.876= 2826.78 » 2830
7. (b) ?= (7684+ 5454+ 9041)¸ (601+296+557)
=22179 ¸ 1454= 15.25 » 15.
8. (c)
( ) ( ){ }
2 2
52 45 2704 2025
?
8 8
+
+
= = =
4729
8
=591.125
9. (e) ? = (64)4 ¸ (8)5 = (82)4 ¸ (8)5.
= (8)2 × 4 ¸ (8)5 = (8)8 ¸ (8)5 = 83.
10. (b) ? = (12.25)2 – 625 = (12.25)2 – 25
=150.0625–25=125.0625
11. (d) ?=383 ×38×3.8 =383×144.4= 55305.2
12. (c) ?=43.231–12.779–6.542–0.669= 23.241
13. (e) ?= 572 + 38 × 0.50 – 16
= 572 + 19 –16 = 591 –16 = 575
14. (b) 15× ?= 6269+ 333+148 =6750
? =
6750
15
=450
15. (a) ?=
1056 7 5 13
3 2 11
´ ´ ´
´ ´
= 7280
16. (b) ? 9´ =6318+26=243
? =
243
9
= 27
? = (27)2 = 729
17. (a) (27)7.5 × (27)3.5 ¸ (27)–6 ¸ (27)15
= (27)7.5 + 3.5 + 6 – 15 = (27)17 – 15 = (27)2
? = 2
18. (d) ? = 31329 × 5 = 177 × 5 = 885
19. (c)
78700
? 4 120 45 460 505
1750
» + ´ = + = 525;
20. (c) ? 78 42 9 129 130+ + =; ;
21. (b)
1 2 3
1715 85.75 85
8 3 5
´ ´ ´ = »
22. (c) 25×124+ 389×15= 3100 + 5835=8935
23. (a)
561
20 320.5 320
35
´ = »
24. (d) 2
(15) 730 225 27 6075´ = ´ =
25. (a) ?=4895 +364×0.75 –49=4895+273–49= 5119
26. (c) ?=434.43+43.34+3.44+4+0.33 =485.54
27. (b) ?= (23.6% of1254)–(16.6% of834)
295.944–138.444=157.5
28. (a) ?= (78.95)2 –(43.35)2 =(122.3) (35.6)=4353.88
29. (d) Approx value = 9999 ¸ 99
= 101 ¸ 9 = 11.2 11»
30. (c) Approx value = 23 × 19 × 8 = 3496 3500»
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