Mock Test -5

1. Simplify \[\frac{\left ( \sqrt{x} \right )^{\frac{3}{5}}\times \left ( \sqrt{x} \right )^{\frac{2}{5}}+\sqrt{x}}{2\left ( \sqrt{x} \right )^{\frac{2}{3}}\times \left ( \sqrt{x} \right )^{\frac{1}{3}}+\sqrt{x}}\]

1.\[\left ( \sqrt{x} \right )^{0}\]
2. 2
3. \[\left ( \sqrt{x} \right )^{1}\]
4. \[3\sqrt{x}\]

Explanation:

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2. The co-ordinate of point M on a number line is = ² ⁄₃ The distance between points M and N is 3 units. Find the co-ordinate of point N.

1.\[-\frac{1}{3}\]
2.\[+\frac{11}{3}\]
3.\[\frac{5}{3}\]
4. \[-\frac{7}{3}\]

Explanation:

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3.In a school, the number of girls in VIII B class is less by 20 than three times the number of boys in that class. If the total number of students is 68, find the number of girls in that class.

1.46
2. 48
3. 44
4. 42

Explanation:

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4. Read the following statements and select the correct option :
(A) 182 is divisible by 2
(B) 182 is divisible by 7
(C) 182 is divisible by 14

1. Only (A) is correct
2.Only (B) is correct
3.(B) is wrong
4. (A), (B), (C) are correct statements

Explanation:

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5. Simplify \[\frac{\sqrt{1.96}+\sqrt{2.25}+\sqrt{2.89}}{\sqrt{0.002116}}=?\]

1.\[10^{13}\]
2.\[10^{2}\]
3. \[10^{-2}\]
4. \[10^{3}\]

Explanation:

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6. In the following figure line AB || line CD. Transversal PR intersects line AB in point P and line CD in point R. Angle bisectors of one pair of interior angles intersect at point T. Find the measurement of ∠PTR.

1. 30°
2. 45°
3.60°
4. 90°

Explanation:

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7.The rate of sugar was increased by 25% and as a result the sale decreased by 15%. What will be the overall effect on profit or loss in terms of percentage ?

1. 5.25% loss
2.6.25% profit
3.7.25% profit
4.4.25% loss

Explanation:

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8. \[Simplify :\left ( a^{x} \right )^{y-z}\times \left ( a^{y} \right )^{z-x}\times \left ( a^{z} \right )^{x-y}\]

1. \[a^{xyz}\]
2. \[a^{1}\]
3. 1
4. 0

Explanation:

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9. The price of an article was increased by 20%. After some days the price was reduced by 20%. Whether the reduced price of the article is more or less than the original price ? By how many rupees ?

1. less by Rs. 10
2.more by Rs. 4
3.less by Rs. 4
4. no change in the price

Explanation:

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10. The diagonal of a square is 7 cm. Find the length of the side of the square.

1.\[3\sqrt{2}\: cm\]
2. \[3.5\sqrt{2}\: cm\]
3. \[5\sqrt{2}\: cm\]
4. \[7\sqrt{2}\: cm\]

Explanation:

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