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**(App No 1) (App No 2)**

Directions:(1-2) **What approximate value will come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value.)**

1. 35.98 x 40.01 – 49.04 x 11.03 + 17.98 x 11.96 = ?

2. √5627 x √1224 ÷ √679 = ? ÷ 13

Directions:(3-10)** What value should come in place of the questions mark (?) in the following questions?**

3. (0.7)^{2} ÷ (0.343) = (0.7)^{?} ÷ (0.49)^{3}

4. 1575 ÷ 21 ÷ 5 = 6 x √(?)

5. 45% of 36 + ?% of 65 = 52.6

6. (35)^{2} ÷ ∛125 + (25)^{2 }+ (5)^{3} =?

7. 12.5 x 18 + 22.5 x 6 – 3.6 x 30 = ?

8. 3960 ÷ 36 + 3600 ÷ ? = 5600 ÷ 35

9. 10^{(5/6)} x 9^{(1/2)} = 100^{3/6} x 10^{a/6} x 9^{7+b}

10. 11 x 16 + 19 x 13 = ? + 12 x 14

**Check your Answers below:**

Directions:(1-2) **What approximate value will come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value.)**

##### 1. Question

35.98 x 40.01 – 49.04 x 11.03 + 17.98 x 11.96 = ?

? ≈ 36 x 40 – 49 x 11 + 18 x 12

= 1440 – 539 + 216 = 1117

##### 2. Question

√5627 x √1224 ÷ √679 = ? ÷ 13

? ÷ 13 ≈ 75 x 35 ÷ 26

? = 75 x 35/26 x 13

= 75 x 17.5 = 1312.5 ≈ 1310

Directions:(3-10)** What value should come in place of the questions mark (?) in the following questions?**

##### 3. Question

(0.7)^{2} ÷ (0.343) = (0.7)^{?} ÷ (0.49)^{3}

(0.7)

^{?}= (0.7)

^{2}÷ (0.343) x (0.49)

^{3 }= (0.7)

^{2}÷ (0.7)

^{3}x (0.7)

^{6 }= (0.7)

^{2-3+6}= (0.7)

^{5 }=> ? = 5

##### 4. Question

1575 ÷ 21 ÷ 5 = 6 x √(?)

6 x √(?) = 1575 ÷ 21 ÷ 5 = (1575/21) ÷ 5 = 75/5 = 15

√? x 6 = 15

=> √? = 2.5

=> ? = 6.25

##### 5. Question

45% of 36 + ?% of 65 = 52.6

?% of 65 = 52.6 – 0.45×36

= 52.6 – 16.2 = 36.4

=> ? = 100 x 36.4/65 = 56

##### 6. Question

(35)^{2} ÷ ∛125 + (25)^{2 }+ (5)^{3} =?

? = 1225/5 + 625 + 125

= 245 + 750 = 995

##### 7. Question

12.5 x 18 + 22.5 x 6 – 3.6 x 30 = ?

? = 225 + 135 – 108 = 252

##### 8. Question

3960 ÷ 36 + 3600 ÷ ? = 5600 ÷ 35

110 + 3600 ÷ ? = 160

=> 3600 ÷ ? = 160 – 110 = 50

=> ? = 3600 ÷ 50 = 72

##### 9. Question

10^{(5/6)} x 9^{(1/2)} = 100^{3/6} x 10^{a/6} x 9^{7+b}

Equating the powers of 10, 9 we have:10

^{(5/6)}= 10

^{2 x 3/6}x 10

^{a/6 }10

^{(5/6)}= 10

^{6/6}x 10

^{a/6 }So, 5/6 = 6/6 + a/6

a = 6 x (5/6 – 6/6)

a = -1

9

^{(1/2)}= 9

^{7+b }b = 1/2 – 7

b = -13/2

##### 10. Question

11 x 16 + 19 x 13 = ? + 12 x 14

176 + 247 = ? + 168

=> ? = 176 + 247 – 168 = 255