9
Q:

If a - b = 3,  a2+b2=29, find the value of ab.

A) 10 B) 12
C) 15 D) 18

Answer:   A) 10



Explanation:

2ab=a2+b2-a2-b2

 

29-9=20

=>ab=10

Q:

Simplify the following expression:

(32×16)+(53×72)-(134×43)=?

 

A) 1221 B) 2112
C) 3621 D) 4112
 
Answer & Explanation Answer: B) 2112

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4 163
Q:

(311×336)-(94×123)+(511×2210)

 

A) -92 B) -132
C) 132 D) 92
 
Answer & Explanation Answer: B) -132

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0 290
Q:

Express in meters the sum of 0.5035 km, 332.9 cm, and 1771mm:

 

A) 500 B) 510
C) 508.6 D) 58.6
 
Answer & Explanation Answer: C) 508.6

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0 199
Q:

The value of 323÷1130of23-14of212÷35×44525of712÷34-34×112÷214 is:

 

A) 2\frac{6}{7} B) 2\frac{2}{9}
C) 3\frac{4}{7} D) \frac{10}{21}
 
Answer & Explanation Answer: A) 2\frac{6}{7}

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2 115
Q:

If 5sinθ=4, then the value of secθ+4cotθ4tanθ-5cosθ is:

 

 

A) \frac{3}{2} B) 1
C) \frac{5}{4} D) 2
 
Answer & Explanation Answer: D) 2

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0 156
Q:

The value of sec6θ-tan6θ-3sec2θtan2θ+1cos4θ-sin4θ+2sin2θ+2 is:

 

 

A) 3/4 B) 2/3
C) 1/2 D) 1
 
Answer & Explanation Answer: B) 2/3

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0 116
Q:

In triangle ABC, C=90°, AC = 5 cm  and BC = 12 cm. The bisector of A meets BC at D. What is the length of AD?

 

A) \frac{2}{3}\sqrt{13} cm B) \frac{4}{3}\sqrt{13} cm
C) 2\sqrt{13} cm D) \frac{5\sqrt{13}}{3} cm
 
Answer & Explanation Answer: D) \frac{5\sqrt{13}}{3} cm

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0 87
Q:

If 16a4+36a2b2+81b4=91 and 4a2+9b2-6ab=13, then what is the value of 3ab?

 

 

A) \frac{3}{2} B) -3
C) -\frac{3}{2} D) 5
 
Answer & Explanation Answer: C) -\frac{3}{2}

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0 172