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Mathematical and Logical Reasoning Test 56

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Mathematical and Logical Reasoning Test 56
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  • Question 1
    1 / -0
    1, 2, 3, 10, ?, 9802
    Solution
    $$2=1^2+1; 3=2^2-1; 10=3^2+1$$
    $$\therefore ? = 10^2-1=99$$
  • Question 2
    1 / -0
    Choose the missing terms out of the given alternatives Z, S, W, O, T, K, Q, G, ?, ?
    Solution

    The given sequence a combination of two series:
    I)Z, W, T, Q, ?      and      II)S, O, K, G, ?

    The pattern I is 
    Z - 3 = W
    W - 3 = T
    T - 3 = Q
    Q - 3 = N

    The pattern in II is
    S - 4 = O
    O - 4 = K
    K - 4 = G
    G - 4 = C
  • Question 3
    1 / -0
    Find out the wrong term in the series 2, 3, 4, 4, 6, 8, 9, 12, 16
    Solution
    The given sequence is a combination of three series:
    i)1st, 4th, 7th terms i.e, 2, 4, 9
    ii)2nd, 5th, 8th terms i.e, 3, 6, 12
    iii)3rd, 6th, 9th terms i.e, 4, 8, 16
    In each one of i, ii, iii, each term is twice the preceding term.
    So, 9 is wrong and must be replaced by $$(4\times 2) = 8$$
  • Question 4
    1 / -0
    Introducing a man, a woman said, 'He is the only son of my mother's mother." How is the woman related to the man ?  
    Solution
    My mother's mother is   my grandmother: My grandmother's only son is my maternal uncle. So, the woman is man's niece. 
  • Question 5
    1 / -0
    Pointing  to a girl in the photograph, Amar said, "Her mother's brother is the only son of my mother's father." How is the girl's mother related to Amar ? 
    Solution
    Only son of Amar's mother's father is   Amar's maternal uncle. So, the girl's maternal uncle is Amar's maternal uncle. Thus, the girl's mother is Amar's aunt. 
  • Question 6
    1 / -0
    Find out the wrong term in the series 380, 188, 92, 48, 20, 8, 2
    Solution
    The correct pattern is -192, -96, -48, -24, -12, -6
    So, 48 is wrong and must be replaced by (92 - 48) = 44
  • Question 7
    1 / -0
    Find the wrong number in the following series?
    1500, 1475, 1448, 1419, 1389, 1355, 1320
    Solution
    $$1500 - 25 \Rightarrow 1475$$
    $$1475 - 27 \Rightarrow 1448$$
    $$1448 - 29 \Rightarrow 1419$$
    $$1419 - 31 \Rightarrow 1388$$
    $$1388 - 33 \Rightarrow 1355$$
    $$1355 - 35 \Rightarrow 1320$$
    1389 is wrong one. It should be 1388.
  • Question 8
    1 / -0
    Find the wrong number in the series.
    1, 2, 6, 15, 31, 56, 91
    Solution

    The difference of the two consecutive numbers are 1, 4, 9, 16, 25, 35.

    This is clearly , $$+1^2, +2^2, +3^2, +4^2, +5^2, +6^2$$

    Here 35 is wrong, So our wrong number is 91

  • Question 9
    1 / -0
    Find out the wrong term in the series 83,92,85,90,85,88
    Solution
    The correct pattern is +9,-7,+5,-3,+1
    So,85 is wrong term and must be replaced by 90-3=87
  • Question 10
    1 / -0
    Find out the wrong term in the series 169,144,121,100,85,64
    Solution
    The sequence is $$13\times 13,12\times 12,11\times 11,10\times 10,9\times 9,8\times 8, . . . . . .$$
    So, 85 is wrong term and must be replaced by $$9\times 81$$
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