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Mathematical and Logical Reasoning Test 87

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Mathematical and Logical Reasoning Test 87
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  • Question 1
    1 / -0
    Choose the one which is different from the others.
    Solution
    In every number(except 7979), the product of digits is an even number.
    i.e. (A)  2×7=142\times7=14
    (B)  4×5=204\times 5=20
    (C)  4×9=364\times 9=36
    (D)  6×5=306\times 5=30
    And in (E)  7×9=637\times 9=63.
    Hence E is different from others.
  • Question 2
    1 / -0
    If in a certain language NEOMAN is coded as OGRQFT which word will be coded as ZKCLUP ?
    Solution
    Given, NEOMAN is coded as OGRQFT
    Here each letter is coded as:
    N +1  \underrightarrow { +1\quad  }  O
    +2  \underrightarrow { +2\quad  }  G
    +3  \underrightarrow { +3\quad  }  R
    +4  \underrightarrow { +4\quad  }  Q
    +5  \underrightarrow { +5\quad  }  F
    +6  \underrightarrow { +6\quad  }  T
    Similarly, the word which is coded as ZKCLUP is find out as:
    Y +1  \underrightarrow { +1\quad  }  Z
    +2  \underrightarrow { +2\quad  }  K
    +3  \underrightarrow { +3\quad  }  C
    +4  \underrightarrow { +4\quad  }  L
    +5  \underrightarrow { +5\quad  }  U
    +6  \underrightarrow { +6\quad  }  P
    Therefore, the word which is coded as ZKCLUP in that language is YIZHPJ
    Hence, option (C) is the correct answer.
  • Question 3
    1 / -0
    If in a certain language POPULAR is coded as QPQVMBS which word would be coded as GBNPVT ?
    Solution
    Given, POPULAR is coded as QPQVMBS
    Here, each letter of the word POPULAR is one step behind the corresponding letter of the code QPQVMBS
    Similarly, the word FAMOUS will be coded as GBNPVT
    Hence, option (B) is the correct answer.
  • Question 4
    1 / -0
    Choose the one which is different from the others.
    Solution
    Except 144, other numbers are cubes of the certain numbers.
    Example (A) 27=3327=3^3
    (B) 64=4364=4^3,
    (C) 125=53125=5^3
    144144 is not a cube of any number.
    Hence 144144 is different from others.
  • Question 5
    1 / -0
    In a certain code BASIC is written as DDULE. How is LEADER written in that code?
    Solution
    Given, BASIC is written as DDULE.
    Here each letter is coded as:
    B +2  \underrightarrow { +2\quad  }  D
     +3  \underrightarrow { +3\quad  }  D
     +2  \underrightarrow { +2\quad  }  U
    +3  \underrightarrow { +3\quad  }  L
     +2  \underrightarrow { +2\quad  }  E
    Similarly, LEADER will be coded as: 
    L +2  \underrightarrow { +2\quad  }  N
     +3  \underrightarrow { +3\quad  }  H
     +2  \underrightarrow { +2\quad  }  C
    +3  \underrightarrow { +3\quad  }  G
     +2  \underrightarrow { +2\quad  }  G
     +3  \underrightarrow { +3\quad  }  U
    Therefore, the word 'LEADER' is coded as 'NHCGGU'. 
    Hence, option (B) is the correct answer.
  • Question 6
    1 / -0
    Choose the one which is different from the other
    Solution
    Sum of digits is 2727 for all the number except A.
    Example, (B)     \implies  3+7+6+8+2+1=273+7+6+8+2+1=27
    (C)     \implies  3+1+8+9+5+1=273+1+8+9+5+1=27
    (D)     \implies  3+1+9+4+4+6=273+1+9+4+4+6=27
    (E)     \implies  3+8+7+3+1+5=273+8+7+3+1+5=27
    But in (A) 3+7+2+1+6+4=233+7+2+1+6+4=23.
    Hence (A) is different from others.
  • Question 7
    1 / -0
    If HEALTH is written as GSKZDG then how will NORTH be written in as in that code?
    Solution
    Given, HEALTH is written as GSKZDG.
    Here each letter is coded as:
    Firstly, each letter of the word 'HEALTH' is written in reverse order to get 'HTLAEH'. Now, each letter of the word 'HTLAEH' is moved one step backward to get 'GSKZDG'.
    Similarly, the word 'NORTH' is coded as 'GSQNM'. 
    Hence, option (B) is the correct answer.
  • Question 8
    1 / -0
    Choose the one which is different from the others.
    Solution
    Others are all multiples of 9
  • Question 9
    1 / -0
    Choose the one which is different from the other
    Solution
    Each of the numbers except 380, is one less than the square of a certain number.
    Example,  120     120=1211=1121120 \ \implies 120=121-1=11^2-1
    168     168=1691=1321168 \ \implies 168=169-1=13^2-1
    288     288=2891=1721288 \ \implies 288=289-1=17^2-1
    728     728=7291=2721728 \ \implies 728=729-1=27^2-1
    But 380380 is neither one less nor one more than the square of certain number.
    Hence, 380380 is different from others.
  • Question 10
    1 / -0
    Choose the one which is different from the others.
    Solution
    In all other numbers(except 2936), the sum of the second and the last digits is double the sum of first and third digit.
    Example, For 3759     \implies   3+5=83+5=8 and 7+9=167+9=16 which twice than the first sum.
    6927     \implies  6+2=86+2=8 and 9+7=169+7=16
    4836     \implies  4+3=74+3=7 and 8+6=148+6=14
    5814      \implies  5+1=65+1=6 and 8+4=128+4=12
    For 29362936     \implies  2+3=52+3=5 and 9+6=159+6=15 which is not twice but thrice than the first sum.
    Hence, B is different from others.
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