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Q:

Country that was called as Land of Rising Sun

A) Russia B) Japan
C) Korea D) Holland
 
Answer & Explanation Answer: B) Japan

Explanation:
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Filed Under: General Awareness

Q:

The largest fresh water lake in India is

A) Pulicat Lake B) Veeranam Lake
C) Chilka Lake D) Kolleru Lake
 
Answer & Explanation Answer: D) Kolleru Lake

Explanation:
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Q:

Heavy Water Project (Talcher) and Fertilizer plant (Paradeep) are famous industries of

A) Andhra Pradesh B) Tamil nadu
C) Kerala D) Orissa
 
Answer & Explanation Answer: D) Orissa

Explanation:
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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:

The H.C.F and L.C.M of two numbers are 11 and 385 respectively. If one number lies between 75 and 125 , then that number is

A) 77 B) 88
C) 99 D) 110
 
Answer & Explanation Answer: A) 77

Explanation:

Product of numbers = 11 x 385 = 4235

 

Let the numbers be 11a and 11b . Then , 11a x 11b = 4235  =>  ab = 35

 

Now, co-primes with product  35 are (1,35) and (5,7)

 

So, the numbers are ( 11 x 1, 11 x 35)  and (11 x 5, 11 x 7)

 

Since one number lies 75 and 125, the suitable pair is  (55,77)

 

Hence , required number = 77

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Filed Under: HCF and LCM

Q:

The H.C.F and L.C.M of two numbers are  84 and 21 respectively.  If the ratio of the two numbers is 1 : 4 , then the larger of the two numbers is 

A) 12 B) 48
C) 84 D) 108
 
Answer & Explanation Answer: C) 84

Explanation:

Let the numbers be x and 4x. Then,  x×4x=84×21 ⇔ x2=84×214⇔ x=21 

Hence Larger Number = 4x = 84

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Filed Under: HCF and LCM