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36.
What should be the maximum value of B in the following equation?
5A9 – 7B2 + 9C6 = 823
  • A.
    5
  • C.
    7
  • B.
    6
  • D.
    9
  • Answer & Explanation
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Answer : [C]
Explanation :
 
We may represent the given sum, as shown.
 
   1 + A + C - B = 12      A + C - B = 11  
 
Giving the maximum values to A and C, i.e.
 
A = 9 and C = 9, we get B = 7.
         
  1 1    
  5 A 9  
+ 9 C 6  
  7 B 2  
  8 2 3  
         
         
 
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37.
The least number which must be subtracted from 6709 to make it exactly divisible by 9 is:
  • A.
    2
  • C.
    4
  • B.
    3
  • D.
    5
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Answer : [C]
Explanation :
 
On dividing 6709 by 9, we get remainder = 4.
 
    Required number to be subtracted = 4.  
 
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38.
The total number of even prime numbers is:
  • A.
    0
  • C.
    2
  • B.
    1
  • D.
    None of these
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Answer : [B]
Explanation :
 
There is only one even prime number, namely 2.
 
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39.
How many three-digit numbers are divisible by 6 in all?
  • A.
    149
  • C.
    151
  • B.
    150
  • D.
    166
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Required numbers are 102, 108, 114, ........ , 996.
 
This is an A.P. with a = 102 and d = 6.
 
Let the number if its terms be n. Then,
 
a + (n - 1) d = 996    102 + (n - 1) x 6 = 996    n = 150.
 
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40.
The greatest number by which the product of three consecutive multiples of 3 is always divisible is :
  • A.
    54
  • C.
    162
  • B.
    81
  • D.
    243
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Required number = Product of first three multiples of 3 = (3 x 6 x 9) = 162.
 
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