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Q:

The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275 , then the other is

A) 279	B) 283
C) 308	D) 318

Answer & Explanation Answer: C) 308

Explanation:

Other number = $(\frac{11 \times 7700}{275})$ = 308

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Filed Under: HCF and LCM

Q:

The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is

A) 101	B) 107
C) 111	D) 185

Answer & Explanation Answer: C) 111

Explanation:

Let the numbers be 37a and 37b. Then , 37a x 37b =4107 => ab = 3.

Now co-primes with product 3 are (1,3)

So, the required numbers are (37 x 1, 37 x 3) i.e, (37,111).

Therefore, Greater number = 111.

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Filed Under: HCF and LCM

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:

Lift was invented by

A) Otis	B) Domagk
C) Lee De Forest	D) None of these

Answer & Explanation Answer: A) Otis

Explanation:

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Filed Under: Inventions

Q:

The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity?

A) 2010	B) 2011
C) 2012	D) 2013

Answer & Explanation Answer: B) 2011

Explanation:

Suppose commodity X wil cost 40 paise more than Y after Z years. Then,

(4.20 + 0.40Z) - (6.30 + 0.15Z) = 0.40

=> 0.25Z = 0.40 + 2.10 => Z= 2.50/0.25 = 10

Therefore, X will cost 40 paise more than Y 10 years after 2001 . i.e in 2011

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Filed Under: Decimal Fractions

Q:

What is the difference between the biggest and the smallest fraction among 2/3 , 3/4 , 4/5 and 5/6?

A) 1/6	B) 1/12
C) 1/20	D) 1/30

Answer & Explanation Answer: A) 1/6

Explanation:

Converting each of the given fractions into decimal form, we get

2/3 = 0.66, 3/4 = 0.75, 4/5 = 0.8, 5/6 = 0.833

Since 0.833>0.8>0.75>0.66

So, 5/6 > 4/5 > 3/4 > 2/3

Therefore, Required Difference = 5/6 - 2/3 = 1/6

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Filed Under: Decimal Fractions

Q:

If 36 men can do a piece of work in 25 hours, in how mwny hours will15 men do it?

A) 40	B) 50
C) 60	D) 70

Answer & Explanation Answer: C) 60

Explanation:

Let the required no of hours be x. Then

Less men , More hours (Indirct Proportion)

Therefore, 15:36 ::25:x

=> (15 x X)=(36 x 25) => x = 60

Hence, 15 men can do it in 60 hours.

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Filed Under: Chain Rule

Q:

If 20 men can build a wall 56 meters long in 6 days , what length of a similar wall can be built by 35 men in 3 days?

A) 46	B) 47
C) 48	D) 49

Answer & Explanation Answer: D) 49

Explanation:

Let the required length be x meters

More men, More length built (Direct proportion)

Less days, Less length built (Direct Proportion)

$\begin{array}{r} \begin{matrix} M e n & 20 : 35 \end{matrix} \\ \begin{matrix} D a y s & 6 : 3 \end{matrix} \end{array}\} ⋮ ⋮ 56 : x$

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