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Q:

If x + y + z = 22 and xy + yz + zx = 35, then what is the value of ${(x - y)}^{2} + {(y - z)}^{2} + {(z - x)}^{2}$ ?

A) 793	B) 681
C) 758	D) 715

Answer & Explanation Answer: C) 758

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Q:

Which of the following statement(s) is/are TRUE?

$I . \sqrt{12} > \sqrt[3]{16} > \sqrt[4]{24} II . \sqrt[3]{25} > \sqrt[4]{32} > \sqrt[6]{48} III . \sqrt[4]{9} > \sqrt[3]{15} > \sqrt[6]{24}$

A) Only I and II	B) Only I and III
C) Only I	D) All are true.

Answer & Explanation Answer: A) Only I and II

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Q:

Which of the following statements is/are TRUE?

$I . \frac{2}{3 \sqrt{5}} < \frac{3}{2 \sqrt{5}} < \frac{5}{4 \sqrt{3}} II . \frac{3}{2 \sqrt{5}} < \frac{2}{3 \sqrt{3}} < \frac{7}{4 \sqrt{5}}$

A) Only I	B) Only II
C) Both I and II	D) Neither I nor II

Answer & Explanation Answer: A) Only I

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Filed Under: Verification of Truth of the statement
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Q:

Which of the following statements is/are true?

$I . 11 \frac{1}{2} + 17 \frac{3}{4} - 5 \frac{1}{5} - 2 \frac{1}{10} = \frac{439}{20} II . \frac{9}{1078} > \frac{11}{1127} > \frac{12}{1219} III . \frac{149}{151} > \frac{153}{155} > \frac{157}{159}$

A) Only I	B) Only II
C) Only III	D) None is true.

Answer & Explanation Answer: A) Only I

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Q:

If $P = \frac{96}{95 x 97}, Q = \frac{97}{96 x 98} and R = \frac{1}{97}$ , then which of the following is true?

A) P < Q < R	B) R < Q < P
C) Q < P < R	D) R < P < Q

Answer & Explanation Answer: B) R < Q < P

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Q:

If $M = 0.1 + {(0.1)}^{2} + {(0.01)}^{2} and N = 0.3 + {(0.03)}^{2} + {(0.003)}^{2}$ , then what is the value of M + N?

A) 0.411009	B) 0.413131
C) 0.313131	D) 0.131313

Answer & Explanation Answer: A) 0.411009

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Q:

If $P = 2^{2} + 6^{2} + 10^{2} + 14^{2} + . . . 94^{2} and Q = 1^{2} + 5^{2} + 9^{2} + . . . 81^{2}$ , then what is the value of P – Q?

A) 24645	B) 26075
C) 29317	D) 31515

Answer & Explanation Answer: B) 26075

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Q:

Which of the following statement(s) is/are TRUE?

$I . 33^{3} > 3^{33} II . 333 > (3$ ³)3

A) Only I	B) Only II
C) Both I and II	D) Neither I nor II

Answer & Explanation Answer: D) Neither I nor II

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Filed Under: Verification of Truth of the statement
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