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Q:

The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is

A) 1677 B) 1683
C) 2523 D) 3363
 
Answer & Explanation Answer: B) 1683

Explanation:

 L.C.M of 5, 6, 7, 8 = 840

 

Therefore, Required Number is of the form 840k+3.

 

Least value of k for which (840k+3) is divisible by 9 is k = 2 

 

Therefore, Required  Number = (840 x 2+3)=1683

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Filed Under: HCF and LCM

Q:

The smallest number which when diminished by 7,  is divisible by  12, 16, 18, 21 and 28 is

A) 1008 B) 1015
C) 1022 D) 1032
 
Answer & Explanation Answer: B) 1015

Explanation:

Required Number = (L.C.M  of 12, 16, 18,21,28)+7

= 1008 + 7

= 1015

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Filed Under: HCF and LCM

Q:

Find the Greatest Number that will devide 43, 91  and 183  so as to leave the same remainder in each case

A) 4 B) 7
C) 9 D) 13
 
Answer & Explanation Answer: A) 4

Explanation:

Required Number = H.C.F  of  (91- 43), (183- 91) and (183-43)

                          = H.C.F of 48, 92, and 140 = 4

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Filed Under: HCF and LCM

Q:

A rectangular courtyard 3.78 meters long 5.25 meters wide is to be paved exactly with square  tiles, all of the same size. what is the largest size of the tile which could be used for the purpose?

A) 14 cms B) 21 cms
C) 42 cms D) None of these
 
Answer & Explanation Answer: B) 21 cms

Explanation:

3.78 meters =378 cm = 2 × 3 × 3 × 3 × 7

5.25 meters=525 cm = 5 × 5 × 3 × 7

Hence common factors are 3 and 7

Hence LCM = 3 × 7 = 21

Hence largest size of square tiles that can be paved exactly with square tiles is 21 cm.

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Filed Under: HCF and LCM

Q:

The maximum number of students  among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:

A) 91 B) 910
C) 1001 D) 1911
 
Answer & Explanation Answer: A) 91

Explanation:

Required number of students = H.C.F  of 1001 and 910  = 91

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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