1. [latex]\frac{4}{9}[/latex]× 1701 + [latex]\frac{2}{11}[/latex]× 1386

A. 180 B. 1080 C. 1008 D. 1800

Answer: Option C
Explanation: [latex]\frac{4}{9}[/latex]× 1701 + [latex]\frac{2}{11}[/latex]× 1386 = ? ? = (4 × 189) + (2 × 126) ? = 756 + 252 = 1008. Hence, option C is correct.
2. 9 [latex]\frac{3}{7}[/latex] + 6 [latex]\frac{4}{7}[/latex] - ? = 14 [latex]\frac{4}{7}[/latex]× 1701

A. [latex]\frac{3}{7}[/latex] B. [latex]\frac{4}{7}[/latex] C. 2 [latex]\frac{4}{7}[/latex] D. 1[latex]\frac{3}{7}[/latex]

Answer: Option D
Explanation: ? = 9 [latex]\frac{3}{7}[/latex] + 6 [latex]\frac{4}{7}[/latex] - ? = 14 [latex]\frac{4}{7}[/latex]× 1701 ⇒ ? = 9 + [latex]\frac{3}{7}[/latex] + 6 + [latex]\frac{4}{7}[/latex] - 14 - [latex]\frac{4}{7}[/latex] On solving the whole number part separately, we get ⇒ ? = 1 + [latex]\frac{3}{7}[/latex] + [latex]\frac{4}{7}[/latex] - [latex]\frac{4}{7}[/latex] ⇒ ? = 1 + [latex]\frac{3}{7}[/latex] = 1[latex]\frac{3}{7}[/latex]
3. [latex]\frac{4}{5}[/latex] x ? x [latex]\frac{3}{7}[/latex] = [latex]\frac{16}{105}[/latex]

A. [latex]\frac{8}{9}[/latex] B. [latex]\frac{5}{7}[/latex] C. 2 [latex]\frac{4}{9}[/latex] D. 1[latex]\frac{3}{7}[/latex]

Answer: Option C
Explanation: Let's the number (?) be x, then From the given equation, [latex]\frac{4}{5}[/latex] x X x [latex]\frac{3}{7}[/latex] = [latex]\frac{16}{105}[/latex] [latex]\frac{12x }{35}[/latex] = [latex]\frac{16}{105}[/latex] ⇒ x = [latex]\frac{16 × 35}{105 × 12}[/latex] ⇒ x = [latex]\frac{4}{9}[/latex]
4. [latex]{5}^{2}[/latex] + [latex]{13}^{2}[/latex] - [latex]{11}^{2}[/latex] = [latex]{?}^{3}[/latex] – 52

A. 6 B. 3 C. 4 D. 5

Answer: Option D
Explanation: From the given equation ⇒ 25 + 169 – 121 = [latex]{?}^{3}[/latex] – 52 ⇒ 25 + 48 + 52 = [latex]{?}^{3}[/latex] ⇒[latex]{?}^{3}[/latex] = 125 ⇒ [latex]{?}^{3}[/latex] = [latex]{5}^{3}[/latex] ⇒ ? = 5.
5. 98643 – 21748 = 51212 + ?

A. 24383 B. 24713 C. 25683 D. 25973

Answer: Option C
Explanation: Given eqn, 98643 – 21748 = 51212 + ? ⇒ ? = 98643 – 21748 – 51212 ⇒ ? = 25683

1. (764 × ?) ÷ 250 = 382

A. 115 B. 145 C. 135 D. 125

Answer: Option D
Explanation: [latex]\frac{760 ×}{250}[/latex] = 382 ? = [latex]\frac{382 × 250}{764}[/latex] = 125
2. [latex]\frac{1}{4}[/latex] × (4856 × 0.5) × 12 = ?

A. 7284 B. 7462 C. 7262 D. 7414

Answer: Option A
3. 853 + ? ÷ 17 = 1000

A. 2516 B. 2482 C. 2499 D. 16147

Answer: Option C
Explanation: 853 + [latex]\frac{7}{?}[/latex] = 1000 [latex]\frac{7}{?}[/latex] = = 1000 – 853 = 147 ? = 17 × 147 = 2499
4. 6156 ÷ √? × 53 = 4028

A. 6889 B. 6241 C. 5929 D. 6561

Answer: Option D
Explanation: 853 + [latex]\frac{6153 × 53}{√?}[/latex] = 4028 ⇒ {√?} = 80.96 ≈ 81 ⇒ ? = 6561
5. 9643 – 7750 + ? = 4990

A. 3079 B. 3097 C. 3090 D. 4010

Answer: Option B
Explanation: 853 + [latex]\frac{6153 × 53}{√?}[/latex] = ? = 4990 – 9643 + 7750 = 3097 Hence, option B is correct.

1. (608.40 × ?) ÷ 225 + 37 = 375

A. 115 B. 135 C. 130 D. 125

Answer: Option D
Explanation: [latex]\frac{6040 × ?}{225}[/latex]+ 37 = 375 ⇒ 608.40 × ? = (375 – 37) × 225 = 76050 ⇒ ? = 125
2. 12.25 × 7.2 + 84.33 = ?

A. 182.51 B. 177.44 C. 174.33 D. 172.53

Answer: Option D
Explanation: 12.25 × 7.2 + 84.33 = 88.2 + 84.33 = 172.53
3. √? + 416 = (60% of 920) – 110

A. 576 B. 676 C. 784 D. 1024

Answer: Option B
Explanation: √? + 416 = (60% of 920) – 110 ⇒ √? = (50% of 920 + 10% of 920) – 110 – 416 ⇒ √? = (460 + 92) –526 ⇒ √? = 552 – 526 = 26 ⇒ ? = [latex]{26}^{2}[/latex] = 676
4. (14896 ÷ 19) ÷ 16 = ?

A. 49 B. 54 C. 58 D. 62

Answer: Option A
Explanation: (14896 ÷ 19) ÷ 16 = ? ⇒ ? = [latex]\frac{14896}{19}[/latex]÷ 16 [latex]\frac{784}{16}[/latex] = 49
5. 12% of 555 + 15% of 666 = ?

A. 166.5 B. 167.5 C. 168.5 D. 169.5

Answer: Option A
Explanation: ? = 12% of 555 + 15% of 666 = (10 + 2)% of 555 + (10 + 5)% of 666 = 10% of 555 + 2% of 555 + 10% of 666 + 5% of 666 = 55.5 + 11.1 + 66.6 + 33.3 = 166.5