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Mathematical and Logical Reasoning Test 67

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Mathematical and Logical Reasoning Test 67
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  • Question 1
    1 / -0
    Choose the odd-one out:
    Solution
    Rest all have even digits.
    Hence, option A is the correct answer.
  • Question 2
    1 / -0
    Find the wrong number in the series :
    3, 8, 15, 24, 34, 48, 63
    Solution
    The difference between consecutive terms of the given series are respectively 5, 7, 9,11, 13 and 15.
    Clearly, 34 is wrong number and  must be replaced by (24 + 11) i.e. 35.
    Hence, the answer is (C).
  • Question 3
    1 / -0
    Choose the odd-one out among the following numbers.
    Solution
    All the other options are multiples of $$7$$ except B.
    Hence, option B is the correct answer.
  • Question 4
    1 / -0
    Identify the wrong number in the series :
    69, 55, 26, 13, 5
    Solution
    Clearly, the given series, each term is one more than the product of the digits of the preceding term. Thus, $$(6\times 9)+1=55$$, $$(5\times 5)+1=26$$, $$(2\times 6)+1=13$$.
    So, 5 is wrong and must be replaced by $$(1\times 3)+1$$ i.e. 4.
    Hence, the answer is (A).
  • Question 5
    1 / -0
    In a certain code, TWINKLE is written as SVHOJKD, then how would FILTERS be written in the same code?
    Solution
    Each letter in the word is replaced by a letter just before that in alphabet series, except the middle one which is replaced by the letter just after that.
    Therefore,F --------------- E
    I ---------------- H
    L ---------------- K
    T
    ---------------  U
    E
    ---------------  D
    R
    --------------- Q
    S--------------- R
  • Question 6
    1 / -0
    If, in a code, MIND becomes KGLB and ARGUE becomes YPESC, then what will DIAGRAM be in that code ?
    Solution
    Each letter in the word is moved two steps backward to obtain the corresponding letter of the code.
    Therefore,D will become B
    I will become G
    A will become Y
    G will become E
    R will become P
    A will become Y
    M will become K
    DIAGRAM $$\Rightarrow$$ BGYEPYK (option A)
  • Question 7
    1 / -0
    In a certain code, FAVOUR is written as EBUPTS. How is DANGER written in that code?
    Solution
    The first, third and fifth letters are each moved one step backward, while the second, fourth and sixth letters are each moved one step forward to obtain the corresponding letters of the code.
    Therefore, D will become C
    A will become B
    N will become M
    G will become H
    E will become D
    R will become S
    DANGER $$\Rightarrow$$ CBMHDS (option B)
  • Question 8
    1 / -0
    If in a certain code, GLAMOUR is written as IJCNMWP and MISRULE is written as
    OGUSSNC, then how will TOPICAL be written in that code?
    Solution
    In both the words GLAMOUR and MISRULE, $$1^{st}, 3^{rd}$$ and $$6^{th}$$ letters are moving $$2$$ steps ahead in normal alphabetical order.
    Whereas the $$2^{nd}, 5^{th}$$ and $$7^{th}$$ letters are moving $$2$$ steps backward in alphabetical order.
    Also, the $$4^{th}$$ letter moves 1 step ahead in alphabetic order.
    Similarly, T, P and A will move 2 steps ahead and become V, R and C respectively.
    O, C and L moves 2 steps backward and becomes M, A and J respectively.
    And I becomes J.
    Thus, the code for TOPICAL is VMRJACJ.
    Hence, option C is correct.
  • Question 9
    1 / -0
    In a certain code language, OPERATION is written as NODQBUJPO. How is INVISIBLE written in that code?
    Solution
    O P E R      A T I O N 
    N O D Q     B U J P O
    First 4 words of first row are just sequential alphabet of 2nd row and other five alphabet of 1st row are sequential alphabet of last five word of second row. 
    I  N  V  I             S  I  B  L  E
    H M U H            T  J  C  M  F
    Option C
  • Question 10
    1 / -0
    In a certain code, PRODUCTIONS is written as QQPCVEUHPMT. How is ORIENTATION written in that code ?
    Solution
    The first, third, fifth , seventh, ninth, and eleventh letters in the word are  each moved one step forward.
    The second, fourth, eighth and tenth letters are moved one step backward and the middle letter is moved two steps forward to obtain the corresponding letter of the code.
    So, following the same rule we will get  
    O $$\rightarrow$$ P
    $$\rightarrow$$ Q
    $$\rightarrow$$ J
    $$\rightarrow$$ D
    $$\rightarrow$$ O
    T $$\rightarrow$$ V
    $$\rightarrow$$ B
    $$\rightarrow$$  S
    $$\rightarrow$$ J
    $$\rightarrow$$ N
    $$\rightarrow$$ O
    ORIENTATION $$\Rightarrow$$PQJDOVBSJNO (option A)
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