1. [latex]{6}^{3}[/latex]× [latex]{3}^{4}[/latex] ÷ [latex]{9}^{3}[/latex] + [latex]{?}^{2}[/latex] = [latex]{7}^{2}[/latex]

A. 4 B. 7 C. 5 D. 6

Answer: Option C
Explanation: [latex]{6}^{3}[/latex]× [latex]{3}^{4}[/latex] ÷ [latex]{9}^{3}[/latex] + [latex]{?}^{2}[/latex] = [latex]{7}^{2}[/latex] 216 × 81 ÷ 729 + [latex]{?}^{2}[/latex] = 49 216 × 81 × [latex]\frac{1}{729}[/latex] + [latex]{?}^{2}[/latex] = 49 24 + [latex]{?}^{2}[/latex] = 49 [latex]{?}^{2}[/latex] = 49 – 24 = 25 = [latex]{5}^{2}[/latex] ∴ ? = 5
2. 70% of 1680 + ?% of 1750 = 55% of 2820 – 886

A. 36 B. 34 C. 28 D. None of these

Answer: Option D
Explanation: 70% of 1680 + ?% of 1750 = 55% of 2820 – 886 [latex]\frac{70}{100}[/latex] × 1680 + [latex]\frac{?}{10}[/latex]× 1750 = [latex]\frac{55}{100}[/latex]× 2820 – 886 1176 + [latex]\frac{?}{10}[/latex]× 175 = 1551 – 886 = 665 [latex]\frac{?}{10}[/latex] × 175 = 665 – 1176 = –511 ? = [latex]\frac{511 × 10}{175}[/latex] = –29.2
3. 326 × 14 – 12 × 88 + [latex]{49}^{2}[/latex]= ?

A. 5110 B. 5909 C. 5809 D. 6909

Answer: Option B
Explanation: 326 × 14 – 12 × 88 + [latex]{49}^{2}[/latex]= ? 4564 – 1056 + 2401 = 5909
4. 46% of 1250 + ?% of 4680 = 1183.4

A. 18 B. 15 C. 22 D. 13

Answer: Option D
Explanation: 46% of 1250 + ?% of 4680 = 1183.4 [latex]\frac{511 × 10}{175}[/latex]× 1250 + [latex]\frac{?}{100}[/latex] × 4680 = 1183.4 575 + [latex]\frac{?}{5}[/latex]× 234 = 1183.4 [latex]\frac{?}{5}[/latex]× 234 = 1183.4 – 575 = 608.4 ? = [latex]\frac{608.4 × 5}{234}[/latex] = [latex]\frac{3042}{234}[/latex] = 13
5. 8 [latex]\frac{1}{2}[/latex] + 4[latex]\frac{2}{7}[/latex] = 5[latex]\frac{1}{2}[/latex] + ?

A. 8 [latex]\frac{1}{7}[/latex] B. 6 [latex]\frac{1}{7}[/latex] C. 7 [latex]\frac{2}{7}[/latex] D. 5 [latex]\frac{1}{7}[/latex]

Answer: Option C
Explanation: 8 [latex]\frac{1}{2}[/latex] + 4[latex]\frac{2}{7}[/latex] = 5[latex]\frac{1}{2}[/latex] + ? ? = 8 [latex]\frac{1}{2}[/latex] + 4[latex]\frac{2}{7}[/latex] - 5[latex]\frac{1}{2}[/latex] = (8 + 4 – 5) + [latex]\frac{1}{2}[/latex] +( [latex]\frac{2}{7}[/latex] - [latex]\frac{1}{2}[/latex]) 7 + [latex]\frac{2}{7}[/latex] = 7[latex]\frac{2}{7}[/latex]

1. 85% of 620 + x% of 480 = 70% of 890

A. 10% B. 20% C. 35% D. 40%

Answer: Option B
Explanation: 85% of 620 + x% of 480 = 70% of 890 527 + x × 480 ÷ 100 = 623 x × 4.8 = 623 – 527 x × 4.8 = 96 x = 20%
2. (624 + 146) × 2 ÷ 77 = ? ÷ (– 2)

A. 40 B. – 30 C. 25 D. -40

Answer: Option D
Explanation: (624 + 146)×[latex]\frac{2}{27}[/latex] = [latex]\frac{?}{-2}[/latex] 770 × [latex]\frac{2}{27}[/latex] = [latex]\frac{?}{-2}[/latex] 20 × (– 2) = ? ? = – 40
3. (5.25 × 6 × 4) ÷ 7 – 2 = [latex]{?}^{2}[/latex]

A. 4 B. 6 C. 0 D. 2

Answer: Option A
Explanation: [latex]\frac{(5.25 × 6 × 4)}{7}[/latex] - 2 = [latex]{?}^{2}[/latex] [latex]\frac{126}{7}[/latex]- 2 = [latex]{?}^{2}[/latex] 18 – 2 = [latex]{?}^{2}[/latex] [latex]{?}^{2}[/latex] = 16 ? = 4
4. 6[latex]\sqrt{6}[/latex] ×2[latex]\sqrt{3}[/latex] x 4[latex]\sqrt{2}[/latex]÷ 12 = ? + 123 – 59

A. 75 B. 45 C. 80 D. None of these

Answer: Option D
Explanation: 6[latex]\sqrt{6}[/latex] ×2[latex]\sqrt{3}[/latex] x 4[latex]\sqrt{2}[/latex]÷ 12 = ? + 123 – 59 ? + 64 = 6[latex]\sqrt{6}[/latex] ×2[latex]\sqrt{3}[/latex] x 4[latex]\sqrt{2}[/latex]÷ 12 ? + 64 = [latex]\frac{(6 × 6 × 2 × 4)}{12}[/latex] ? + 64 = 24 ? = 24 – 64 ? = – 40
5. [[latex]\sqrt{2401}[/latex] + [latex]\sqrt{625}[/latex]– (29 + 5)]÷ 4 = [latex]{?}^{1/2}[/latex]

A. 125 B. 169 C. 144 D. 100

Answer: Option D
Explanation: 853 + [latex]\frac{(√2401 + √625) – (29 + 5)}{4}[/latex] = ? = 4990 – 9643 + 7750 = 3097 = [latex]{?}^{1/2}[/latex] [latex]\frac{(49 + 25) – (34) }{4}[/latex] = [latex]{?}^{1/2}[/latex] [latex]\frac{74-34}{4}[/latex] = [latex]{?}^{1/2}[/latex] [latex]\frac{40}{4}[/latex] = [latex]{?}^{1/2}[/latex] 10 = [latex]{?}^{1/2}[/latex] ? = 100

1. 333.44 + 33.4444 + 3.444 + 3333.4 = ?

A. 3703.5284 B. 3704.7284 C. 3703.7284 D. 3703.7384

Answer: Option C
Explanation: 333.44 + 33.4444 + 3.444 + 3333.4 = ? 3 + 33 + 333 + 3333 + .4 + .44 + .444 + .4444 = ? 3 (1234) + 4(.4321) = ? 3702 + 1.7284 = ? ? = 3703.7284
2. 1 [latex]\frac{13}{6}[/latex] - 2 [latex]\frac{7}{18}[/latex] + 5 [latex]\frac{4}{9}[/latex] = ? + [latex]\frac{7}{3}[/latex]

A. 2[latex]\frac{3}{4}[/latex] B. 5[latex]\frac{2}{3}[/latex] C. 3[latex]\frac{8}{9}[/latex] D. 1[latex]\frac{3}{4}[/latex]

Answer: Option C
Explanation: 1 [latex]\frac{13}{6}[/latex] - 2 [latex]\frac{7}{18}[/latex] + 5 [latex]\frac{4}{9}[/latex] = ? + [latex]\frac{7}{3}[/latex] 1 [latex]\frac{13}{6}[/latex] - 2 [latex]\frac{7}{18}[/latex] + 5 [latex]\frac{4}{9}[/latex] - [latex]\frac{7}{3}[/latex] = ? 1 – 2 + 5 + ([latex]\frac{13}{6}[/latex] - [latex]\frac{7}{18}[/latex] + [latex]\frac{4}{9}[/latex] - [latex]\frac{4}{9}[/latex]) 6 – 2 + [latex]\frac{39 – 7 + 8 – 42}{18}[/latex] = ? 4 + [latex]\frac{-2}{18}[/latex] = ? 3 + (1 - [latex]\frac{1}{9}[/latex] = ? ? = 3 + [latex]\frac{8}{9}[/latex] ? = 3[latex]\frac{8}{9}[/latex]
3. [latex]{?}^{2}[/latex] – 18.75 – 11.25 = 9.09% of 396 + 295

A. 30 B. 25 C. 21 D. 19

Answer: Option D
Explanation:[latex]{?}^{2}[/latex] – 18.75 – 11.25 = 9.09% of 396 + 295 [latex]{?}^{2}[/latex] – 30 = 396 ÷ 11 + 295 [latex]{?}^{2}[/latex] = 36 + 295 + 30 [latex]{?}^{2}[/latex] = 361 ? = 19
4. (37.5% of 1160) ÷( [latex]\sqrt{441}[/latex] - [latex]\sqrt{256}[/latex] ) = ? + 23

A. 70 B. 55 C. 61 D. 64

Answer: Option D
Explanation: [latex]\frac{37.5% of 1160}{441 – 256}[/latex] = ? + 23 [latex]\frac{\frac{3}{8}×1160}{{21 – 16}}[/latex] = ? + 23 [latex]\frac{435}{5}[/latex] = ? + 23 87 – 23 = ? ? = 64
5. (11.275 + 101.237 + 13.5) ÷ [latex]\sqrt[3]{64}[/latex](17.657 + 18.976) ÷ [latex]{2}^{2}[/latex] = [latex]{?}^{2}[/latex] + 8.379 ÷ 4

A. 3 B. 5.5 C. 4.5 D. 6

Answer: Option C
Explanation:(11.275 + 101.237 + 13.5) ÷ 64 – (17.657 + 18.976) ÷ 22 = [latex]{?}^{2}[/latex] + 8.379 ÷ 4 (126.012) ÷ 4 – (36.633) ÷ 4 = [latex]{?}^{2}[/latex] + 8.379 ÷ 4 (126.012) ÷ 4 – (36.633) ÷ 4 – (8.379) ÷ 4 = [latex]{?}^{2}[/latex] (126.012 - 45.012) ÷ 4 = ?2 [latex]{?}^{2}[/latex] = 81 ÷ 4 ? = [latex]\frac{9}{2}[/latex] = 4.5