Simplification Practice Questions

1) Question: (24 * √169) * 15 = x * √1296, Find the value of x

Solution: 

(24 * √169) * 15 = x * √1296 

24 * 13 * 15 = x * 36 

x = 130 

Answer: 130

2) Question: (143 * 5) ÷ 28 = x – (13 * 30), Find the value of x

Solution: 

(143 * 5) ÷ 28 = x – (13 * 30) 

490 = x  – 390

 x = 880

Answer: 880

3) Question: 12.5% of 240 + 37.5% of 320 + 62.5% of 400 = x, Find the value of x

Solution: 

12.5% of 240 + 37.5% of 320 + 62.5% of 400 = x

30 + 120 + 250 = x

400 = x

Answer: 400

4) Question: 242 – 192 = x * 12 – 172, Find the value of x

Solution: 

242 – 192 = x * 12 – 172 

576 – 361 = x * 12 – 289 

x = 42

Answer: 42

5) Question:  57 * 22 + 38 * 18 = x * 19, Find the value of x

Solution: 

57 * 22 + 38 * 18 = x * 19 

1254 + 684 = 19x

1938 = 19x

x = 1938/19

x = 102

Answer: 102

6) Question: (1587 ÷ √4761) * (1209 ÷ √8649) = x, Find the value of x

Solution: 

(1587 ÷ √4761) * (1209 ÷ √8649) = x 

(1587 ÷  69 ) * ( 1209  ÷ 93) = x

23 * 13 = x

x = 299 

Answer: 299

7) Question: 45% of 420 + 120% of 220 = x, Find the value of x

Solution: 

45% of 420 + 120% of 220 = x

x = 189 + 264 

x = 453

Answer: 453

8) Question:  26 * 23 - 13 * 19 = x + 7 * 12, Find the value of x

Solution: 

26 * 23 - 13 * 19 = x + 7 * 12 

598 - 247 = x + 84

351 = x + 84

x = 351-84

x = 267

Answer: 267

9) Question:  (2324 ÷ 73) * (1095 ÷ 83) = x * 35, Find the value of x

Solution: 

(2324 ÷ 73) * (1095 ÷ 83) = x * 35 

x = 12

Answer: 12

10) Question: 65% of 420 – 85% of 240 = x, Find the value of x

Solution: 

65% of 420 – 85% of 240 = x 

273 - 204 = x

x = 69

Answer: 69