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Q:

The L.C.M of 22, 54, 108, 135 and 198 is

A) 330	B) 1980
C) 5940	D) 11880

Answer & Explanation Answer: C) 5940

Explanation:

22 = 2 x 11

54 = $2 \times 3^{3}$

108 = $2^{2} \times 3^{3}$

135 = $3^{3} \times 5$

198 = $2 \times 3^{2} \times 11$

$∴ L . C . M = 2^{2} \times 3^{3} \times 5 \times 11 = 5940$

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Filed Under: HCF and LCM

Q:

H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is

A) 180	B) 360
C) 540	D) 1260

Answer & Explanation Answer: A) 180

Explanation:

$4 \times 27 \times 3125 = 2^{2} \times 3^{3} \times 5^{5}$

$8 \times 9 \times 25 \times 7 = 2^{3} \times 3^{2} \times 5^{2} \times 7$

$16 \times 81 \times 5 \times 11 \times 49 = 2^{4} \times 3^{4} \times 5 \times 7^{2} \times 11$

Therefore, H.C.F = $2^{2} \times 3^{2} \times 5$ = 180

$\inline \fn_jvn \therefore$ $\inline \fn_jvn H.C.F =2^{2}\times 3^{2}\times 5=180$

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Filed Under: HCF and LCM

Q:

Which of the following has most number of divisors?

A) 99	B) 101
C) 176	D) 182

Answer & Explanation Answer: C) 176

Explanation:

99 = 1 x 3 x 3 x 11

101= 1 x 101

176= 1 x 2x 2 x 2 x 2 x 11

182= 1 x 2 x 7 x 13

So, divisors of 99 are 1, 3, 9, 11, 33, 99

divisors of 101 are 1,101

divisors of 176 are 1, 2, 4, 8, 16, 22, 44, 88, 176

divisors of 182 are 1, 2, 7, 13, 14, 26, 91, 182

Hence , 176 hasthe most number of divisors.

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Filed Under: HCF and LCM

Q:

Who had an explosive idea and first patented DYNAMITE?

A) J. R. Gluber	B) A. Nobel
C) G. Fawks	D) W. Bickford

Answer & Explanation Answer: B) A. Nobel

Explanation:

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Filed Under: Inventions

Q:

Who is often called the 'first African-American' inventor?

A) Bessie Blount	B) George Washington Carver
C) Benjamin Banneker	D) Elijah McCoy

Answer & Explanation Answer: C) Benjamin Banneker

Explanation:

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Filed Under: Inventions

Q:

Where were wigs first invented?

A) Japan	B) France
C) Egypt	D) China

Answer & Explanation Answer: C) Egypt

Explanation:

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Filed Under: Inventions

Q:

Who was the first person to patent the JET ENGINE?

A) F. Whittle	B) C. Lindbergh
C) W. Histell	D) B. Owings

Answer & Explanation Answer: A) F. Whittle

Explanation:

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Filed Under: Inventions

Q:

What drink was invented by Charles Leiper Grigg in 1929?

A) 7-Up	B) Yoo-Hoo
C) Pepsi	D) Hawaiian Punch

Answer & Explanation Answer: A) 7-Up

Explanation:

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Filed Under: Inventions

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