Simplification and Approximation: MAH CET and SNAP practice questions

Solution

Terms are consecutive squares plus 3: 2² + 3, 3² + 3, …

So the missing term is 39.

Solution

2/3 of 45 = 30.

14 × 8 − 14 = 98.

Total = 128.

Solution

2/3 of 75 = 50.

18 × 6 − 18 = 90.

Total = 140.

Solution

Terms are consecutive squares plus 7: 7² + 7, 8² + 7, …

So the missing term is 88.

Solution

Terms are consecutive squares plus 3: 7² + 3, 8² + 3, …

So the missing term is 67.

Solution

Round: 40% of 390 = 156; 24 × 11 = 264; √64 = 8.

Sum ≈ 156 + 264 + 8 = 428.

The options are far apart, so rounding each number is enough.

Solution

3/5 of 115 = 69.

37 × 2 − 37 = 37.

Total = 106.

Solution

5 × ? = 125 − 60 = 65.

? = 65/5 = 13.

Solution

Round: 40% of 310 = 124; 12 × 23 = 276; √81 = 9.

Sum ≈ 124 + 276 + 9 = 409.

The options are far apart, so rounding each number is enough.

Solution

Round: 75% of 110 = 82.5; 14 × 20 = 280; √256 = 16.

Sum ≈ 82.5 + 280 + 16 = 378.

The options are far apart, so rounding each number is enough.

Solution

Round: 40% of 360 = 144; 16 × 15 = 240; √361 = 19.

Sum ≈ 144 + 240 + 19 = 403.

The options are far apart, so rounding each number is enough.

Solution

9 × ? = 146 − 56 = 90.

? = 90/9 = 10.

Solution

6 × ?² = 2086 + 80 = 2166.

?² = 361, so ? = 19.

Solution

7/8 of 232 = 203.

37 × 5 − 37 = 148.

Total = 351.

Solution

The differences rise by 3: 4, 7, 10, 13, 16.

So the missing term is 37.

Solution

60% of 420 = 252.

16² = 256; 10 × 48 = 480.

Value = 252 + 256 − 480 = 28.

Solution

40% of 520 = 208.

11² = 121; 8 × 26 = 208.

Value = 208 + 121 − 208 = 121.

Solution

4 × ?² = 1373 + 71 = 1444.

?² = 361, so ? = 19.

Solution

45% of 580 = 261.

6² = 36; 3 × 18 = 54.

Value = 261 + 36 − 54 = 243.

Solution

20% of 100 = 20.

17² = 289; 3 × 45 = 135.

Value = 20 + 289 − 135 = 174.