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Mathematical and Logical Reasoning Test 86

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Mathematical and Logical Reasoning Test 86
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  • Question 1
    1 / -0
    If in a certain code language, ABCD is written as ZYXW. Then how is the word DANCE written in that code ?
    Solution
    The role of coding is $$\displaystyle T_{+n}$$ is coded as $$\displaystyle T_{-n}$$
    A is the first letter from the start which is coded as first letter from the end i.e. Z and so on.
    $$\displaystyle \therefore $$ DANCE is coded as WZMXV The answer is (a)
  • Question 2
    1 / -0
    In a certain code SIKKIM is written as THLJJL. How is TRAINING written in that code ?
    Solution
    Here, the letters in the given word SIKKIM are moved alternately one step forward and one step backward to obtain the corresponding letters of the code THLJJL.
    Similarly, TRAINING is written as UQBHOHOF.
    Hence, option (B) is the correct answer.
  • Question 3
    1 / -0
    In a certain code FORGE is written as FPTJI .How is CULPRIT written in that code ?
    Solution
    Given, FORGE is written as FPTJI.
    Here, 
    first letter of the word 'FORGE' remains the same whereas other letters move one, two, three and four steps forward to obtain the corresponding letters of the code FPTJI.
    Similarly, CULPRIT is written as CVNSVNZ.
    Hence, option (C) is the correct answer.
  • Question 4
    1 / -0
    In a certain code MENTION is written as LNEITNO. How is PATTERN written in that code ?
    Solution
    Clearly, to obtain the code, the first letter of the word 'MENTION' is moved one step backward and the remaining letters are moved in reverse order taking two at a time to get the code 'LNEITNO'.
    Similarly, PATTERN is coded as 'OTAETNR'.
    Hence, option (C) is the correct answer.
  • Question 5
    1 / -0
    Choose the one which is different from the others
    Solution
    Each of the numbers, except 257, is one less than the square of a certain number.
  • Question 6
    1 / -0
    Choose the one which is different from the others
    Solution
    Each of the numbers(except $$380$$), is either one less or one more than the square of a certain number. i.e.
    (A)  $$120=121-1=11^2-1$$
    (B)  $$168=169-1=13^2-1$$
    (C)  $$290=289+1=17^2+1$$
    (E)  $$728=729-1=27^2-1$$
    But D is neither one less nor one more than the square of some number.
    Hence, D is different from others.
  • Question 7
    1 / -0
    Choose the one which is different from the other
    Solution
    In other numbers, the number in the unit place is sum of the other two digits.
  • Question 8
    1 / -0
    (i) M is the brother of N;
    (ii) B is the brother of N; and
    (iii) M is the brother of D;
    Which of the following statements is definitely true ?
    Solution
    From the given, it can be concluded that 
    M is the brother of N and D.
    B is the brother of N.
    But we do not know whether N is their brother or sister.
    So, surely we can only conclude that M is the brother of B.
    option C.
  • Question 9
    1 / -0
    Choose the one which is different from the others
    Solution
    Each of the number(except 345), is one more than the cube of a certain number.
    (A)  $$126=125-1=5^3-1$$
    (B)  $$217=216-1=6^3-1$$
    (D)  $$513=512-1=8^3-1$$
    (E)  $$730=729-1=9^3-1$$
    And (C)  $$345=343+2=7^3+2$$
    Hence C is different from others.
  • Question 10
    1 / -0
    Choose the one which is different from the other
    Solution
    Except 57, other number can be expressed as $$2^n- 1$$.
    e.g. $$7=2^3-1; 15=2^4-1; 31=2^5-1$$.
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