34
Q:

476 ** 0 is divisible by both 3 and 11.The non zero digits in the hundred's and ten's places are respectively:

A) 6 and 2 B) 8 and 2
C) 6 and 5 D) 8 and 5

Answer:   D) 8 and 5



Explanation:

Let the number  be 476ab0 

 

476ab0 is divisible by 3 

=> 4 + 7 + 6 + a + b + 0 is divisible by 3

=> 17 + a + b is divisible by 3 ------------------------(i)

 

476ab0 is divisible by 11

[(4 + 6 + b) -(7 + a + 0)] is 0 or divisible by 11

=> [3 + (b - a)] is 0 or divisible by 11  --------------(ii)

 

Substitute the values of a and b with the values given in the choices and select the values which satisfies both Equation 1 and Equation 2.

 

if a=6 and b=2, 

17 + a + b = 17 + 6 + 2 = 25 which is not divisible by 3 --- Does not meet equation(i).Hence this is not the answer

 

if a=8 and b=2, 

17 + a + b = 17 + 8 + 2 = 27 which is divisible by 3 --- Meet equation(i)

[3 + (b - a)] = [3 + (2 - 8)] = -3 which is neither 0 nor divisible by 11---Does not meet equation(ii).Hence this is not the answer

 

if a=6 and b=5, 

17 + a + b = 17 + 6 + 5 = 28 which is not divisible by 3 --- Does not meet equation (i) .Hence this is not the answer

 

 

if a=8 and b=5, 

17 + a + b = 17 + 8 + 5 = 30 which is divisible by 3 --- Meet equation 1

[3 + (b - a)] = [3 + (5 - 8)] = 0 ---Meet equation 2

Since these values satisfies both equation 1 and equation 2, this is the answer

Q:

The Table shows the number of students from different schools playing different games.

If the data about the number of students who play hockey from different schools is represented by a pie-chart, what is the central angle of the sector representing students who play hockey from school C to the nearest whole number?

 

A) 80^\circ B) 107^\circ
C) 102^\circ D) 95^\circ
 
Answer & Explanation Answer:

Explanation:
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1 1939
Q:

The Table shows the number of students from different schools playing different games.


What is the average of the number of students who play cricket in all four schools?

 

A) 180 B) 175
C) 190 D) 185
 
Answer & Explanation Answer: B) 175

Explanation:
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0 1373
Q:

If a : b = 5 : 7, then (5a - 3b) : (4a - 2b) is equal to:

 

A) 2 : 3 B) 5 : 4
C) 4 : 3 D) 3 : 2
 
Answer & Explanation Answer: A) 2 : 3

Explanation:
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0 1007
Q:

Select the missing number from the given options.

18  28  50 

17  13  11

26  27  ?

 

A) 61 B) 30
C) 29 D) 36
 
Answer & Explanation Answer: D) 36

Explanation:
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2 1559
Q:

The two given expressions on both the side of the ‘=’ sign will have the same value if two numbers from either side or both side are  interchanged. Select the correct numbers to be interchanged from the given options.

4 + 6 × 7 − 27 ÷ 3 = 7 × 8 − 4 + 39 ÷ 3

 

A) 8, 7 B) 6, 8
C) 3,4 D) 6,4
 
Answer & Explanation Answer: B) 6, 8

Explanation:
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2 368
Q:

Four number-pairs have been given, out of which three are alike in some mannerandoneis different. Select the number-pair that is different.

 

A) 16, 8 B) 36, 2
C) 14,8 D) 28, 5
 
Answer & Explanation Answer: D) 28, 5

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1 304
Q:

What is the smallest integer that is a multiple of 5, 8 and 15?

 

A) 600 B) 120
C) 60 D) 40
 
Answer & Explanation Answer: B) 120

Explanation:
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4 1755
Q:

Which number will fit in '?' place in the following series?

 

12, 23, 45, 89, ?

 

A) 175 B) 176
C) 177 D) 178
 
Answer & Explanation Answer: C) 177

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8 2488