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Directions:(1-6) **What value should come in place of the questions mark (?) in the following questions?**

1. 529 ÷ 46 x 7.4 + 8^{3} – 251 = ?

2. (3 – √5)^{2} = ? – √80 – √20

3. (16 x 4)^{3} ÷ (4)^{5} x (2 x 8)^{2} = (4)^{?}

4. (36^{3/2} x 343^{4}^{/3} x 32^{2/5}) / (28^{3} x 27^{2/3})

5. 38% of 850 + 39% of 1100 – 32% of 1725 = ? x 10

6. √? ÷ 39 X 156 – 195 + 232 X 1.5 = 381

Directions:(7-10) **What approximate value will come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value.)**

7. 6999.94 – 3501.01 – 499.09 + 1499.2 + 500.3 = ? – 1999.91 – 4000.3 + 999.97

8. √290 x √170 + √98 x √72 = ?

9. ? = 59.99 x (7.03 x 8.02 + 13.03 x 9.01 – √1596)

10. 8.03 x 12.02 + 25% of ? = 37.5% of 191.8 + 370.5 ÷ 7

**Check your Answers below:**

Directions:(1-6) **What value should come in place of the questions mark (?) in the following questions?**

##### 1. Question

529 ÷ 46 x 7.4 + 8^{3} – 251 = ?

? = 23÷46 x 7.4 + 512 – 251

= 0.5 x 7.4 + 512 – 251

= 3.7 + 512 – 251

= 264.7

##### 2. Question

(3 – √5)^{2} = ? – √80 – √20

5 + 9 – 6√5 = ? – 4√5 – 2√5

=> ? = 14

##### 3. Question

(16 x 4)^{3} ÷ (4)^{5} x (2 x 8)^{2} = (4)^{?}

(4)

^{?}= (64)

^{3}÷ (4)

^{5}x (16)

^{2 }=> (4)

^{?}= (64)

^{3}÷ (4)

^{5}x (16)

^{2 }= 4

^{9}÷ 4

^{5}x 4

^{4}= 4

^{8 }=> ? = 8

##### 4. Question

(36^{3/2} x 343^{4}^{/3} x 32^{2/5}) / (28^{3} x 27^{2/3})

(36

^{3/2}x 343

^{4/3}x 32

^{2/5}) / (28

^{3}x 27

^{2/3})

= [(6

^{2})

^{3/2}x (7

^{3})

^{4/3}x (2

^{5})

^{2/5}] /[28

^{3}x (3

^{3})

^{2/3}]

=(6

^{3}x 7

^{4}x 2

^{2}) / (28

^{3}x 3

^{2})

= (24 x 7 x 4/64) = 21/2 = 10.5

##### 5. Question

38% of 850 + 39% of 1100 – 32% of 1725 = ? x 10

? x 10 = 850 x 0.38 + 1100 x 0.39 – 1725 x 0.32 = 323 + 429 – 552 = 200=> ? = 20

##### 6. Question

√? ÷ 39 X 156 – 195 + 232 X 1.5 = 381

√? ÷ 39 X 156 – 195 + 348 = 381

=> √? ÷ 39 X 156 = 228

√? = 228 x 39/156 = 57

=> ? = 57

^{2}= 3249

Directions:(7-10) **What approximate value will come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value.)**

##### 7. Question

6999.94 – 3501.01 – 499.09 + 1499.2 + 500.3 = ? – 1999.91 – 4000.3 + 999.97

≈7000-3500-500+1500+500 = ? -2000-4000+1000

=> 5000 = ? – 5000

=> ? = 10000

##### 8. Question

√290 x √170 + √98 x √72 = ?

? = 17 x 13 + 7√2 x 6√2

= 221 + 84 = 305

##### 9. Question

? = 59.99 x (7.03 x 8.02 + 13.03 x 9.01 – √1596)

? ≈ 60 x (7×8 + 13×9 – 40)

= 60 x 133 = 7980 ≈ 8000

##### 10. Question

8.03 x 12.02 + 25% of ? = 37.5% of 191.8 + 370.5 ÷ 7

8×12 + 25% of ? = 3/8 x 192 + 371 ÷ 7

=> 96 + 25% of ? = 72 + 53

=> 25% of ? = 29

=> ? = 116 ≈ 115