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Review

Question 1 of 10

1. Question

Directions:(1-5) What value will come in place of question mark (?) in the following questions?

(?)^{2} + 28 = 35^{2} + 22^{2}

Correct

(?)^{2} = 35^{2} + 22^{2} – 28

= 1225 + 484 – 28

= 1681

? = 41

Incorrect

(?)^{2} = 35^{2} + 22^{2} – 28

= 1225 + 484 – 28

= 1681

? = 41

Question 2 of 10

2. Question

57.14% of 175 + 16.66% of 210 + 37.5% of 64 = ?

Correct

We note that 57.14% = 4/7, 16.66% = 1/6, 37.5% = 3/8

So, ? = 175 x (4/7) + 210 x (1/6) + 64 x (3/8)

= (7 x 25) x (4/7) + (6 x 35) x (1/6) + (8 x 8) x (3/8)

= (4 x 25) + (1 x 35) + (3 x 8) = 159

Incorrect

We note that 57.14% = 4/7, 16.66% = 1/6, 37.5% = 3/8

So, ? = 175 x (4/7) + 210 x (1/6) + 64 x (3/8)

= (7 x 25) x (4/7) + (6 x 35) x (1/6) + (8 x 8) x (3/8)

= (4 x 25) + (1 x 35) + (3 x 8) = 159

Question 3 of 10

3. Question

29/19 of 65% of 2698 = ? x 710

Correct

29/19) x (65/100) x 2698 = ? x 710

(29/19) x (13 x 5/100) x (19 x 142) = ? x 5 x 142

? = (29 x 13 x 5 x 142)/(5 x 142 x 100)

? = (29 x 13)/100 = 3.77

Incorrect

29/19) x (65/100) x 2698 = ? x 710

(29/19) x (13 x 5/100) x (19 x 142) = ? x 5 x 142

? = (29 x 13 x 5 x 142)/(5 x 142 x 100)

? = (29 x 13)/100 = 3.77

Question 4 of 10

4. Question

77 x 38 – 35 x 26 = (?)^{2} x 4 + 860

Correct

(?)^{2} x 4 = 77 x 38 – 35 x 26 – 860

(?)^{2} x 4 = 2926 – 910 – 860 = 1156

(?)^{2} = 289

? = 17

Incorrect

(?)^{2} x 4 = 77 x 38 – 35 x 26 – 860

(?)^{2} x 4 = 2926 – 910 – 860 = 1156

(?)^{2} = 289

? = 17

Question 5 of 10

5. Question

(9^{2} x 29 + 7^{3} x 5 + ?)^{½} = 71

Correct

Squaring both sides:

9^{2} x 29 + 7^{3} x 5 + ? = 71^{2} = 5041

? = 5041 – 9^{2} x 29 – 7^{3} x 5

? = 5041 – 2349 – 1715 = 977

Incorrect

Squaring both sides:

9^{2} x 29 + 7^{3} x 5 + ? = 71^{2} = 5041

? = 5041 – 9^{2} x 29 – 7^{3} x 5

? = 5041 – 2349 – 1715 = 977

Question 6 of 10

6. Question

(0.25)^{102} ÷ 0.125^{70} x 0.25^{42} x 0.25^{19} = (0.25)^{?}

Correct

(0.5^{2})^{102} ÷ (0.5^{3})^{70} x (0.5^{2})^{42} x (0.5^{2})^{19} = (0.5^{2})^{?}