1. (c)
6202.5 + 620.25 + 62.025 + 6.2025 + 0.62025
⇒ 6822.75 + 68.84775
⇒ 6891.59775
2. (d)
9.044 + 0.7036 = 9.7476
9.7476 + 7.6 = 17.3476
17.3476 + 0.3 = 17.6476
17.6476 + 2 = 19.6476
3. (a)
31.004 − 17.2368 = 13.7654
4. (b)
6.3204 × 100 = 632.04
5. (a)
6. (b)
2.68 × 0.74 = 1.9832
7. (b)
0.0204 ÷ 17 = 0.0012
8. (b)
1 / 0.0003718 = 10000 / 3.718
⇒ 10000 * 1 / 3.718
⇒ 10000 * 0.2689 = 2689.
9. (b)
2/7 – 3(4/7) +18(1/2) = x/7 +15(1/2)
2/7 – 25/7 + 37/2 = x/7 + 31/2
213/14 = x/7 + 31/2
213 = 2x + 217
213 – 2x = 217
– 2x = 217 – 213
– 2x = 4
x = -2
10. (a)
4 (7/12) + 6 (5/6) – 8 (3/4) = ? + 1 (2/3)
55/12 + 41/6 – 35/4 = ? + 5/3
55/12 + 82/12 – 105/12 = 32/12 = ? + 5/3
32/12 = ? + 5/3
8/3 – 5/5 = ?
(8-5)/ 3 = ?
3/3 = ?
1
11. (c)
19 + 6/6 = 19 + 1 = 20
8 (3/4) + 4 (1/4) – 3 (1/2) = ? + 7(1/3)
24/4 + 4/4 – 3/2 = ? + 7(1/3)
6 + 1 – (3/2) = ? + 7(1/3)
7 – (3/2) = ? + 7(1/3)
11/2 = ? + 7(1/3)
11/2 – 7/3 = ?
(33-14)/ 6 = ?
= 19/6
15. (b)
3 (1/4) + ? = 7(1/8) + 2 (1/12)
13/4 + ? = 57/8 + 25/12
13/4 + ? = 171/24+ 50/24
13/4 + ? = 221/24
? = 221/24 – 13/4
? = 221/24 – 78/24
= 143/24 = 5 (23/24)
16. (b)
17. (c)
18. (a)
The denominator of all fractions are 3, 4, 5 and 6.
LCM of 3, 4, 5 and 6 is 60.
No equation all denominators with 60 get.
2/3 = (2×20)/ (3×20) = 40/60
3/4 = (3×15)/ (4×15) = 45/60
4/5 = (4×12)/ (5×12) = 48/60
5/6 = (5×10)/ (6×10) = 50/60
Now. 50>48>45>40
⇒ 50/60 > 48.60 > 45/60 > 40/60
⇒ 5/6 > 4/5 > 3/4 > 2/3
The biggest number is 5/6 and the smallest number is 2/3.
The difference between them is 5/6 – 2/3 = 1/6
19. (d)
(3 + 87/99) – (2 + 59/99)
(3 + 0.87) – (2 + 0.59)
3.89 – 2.59 = 1.28
20. (c)
0.346767 + 0.133333 = 0,4801/9900 = 0.48‾01
