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Mathematical and Logical Reasoning Test 20

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Mathematical and Logical Reasoning Test 20
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  • Question 1
    1 / -0
    Find the odd one among the following:
    Solution
    The given numbers are in binary system, converting these into the decimal system we get, 1011
    $$\Rightarrow 1\times 2^3+0\times 2^2+1\times 2^1+1\times 2^0$$
    $$=8+2+1=11$$
    $$1101\Rightarrow 1\times 2^3+1\times 2^2+0\times 2^1+1\times 2^0$$
    $$=8+4+1=13$$
    $$1111\Rightarrow 1\times 2^3+1\times 2^2+1\times 2^1+1\times 2^0$$
    $$=8+4+2+1=15$$
    $$0001\Rightarrow 1\times 2^4+0\times 2^3+0\times 2^2+0\times 2^1+1\times 2^0$$
    $$=16+1=17$$
    $$111=1\times 2^2+1\times 2^1+1\times 2^6$$
    $$=4+2+1=7$$
    All the given numbers except 15 are prime numbers.
  • Question 2
    1 / -0
    Find the odd one among the following:
    Solution
    All the given numbers except 27 are prime numbers whereas 27 is a composite number.
  • Question 3
    1 / -0
    Choose the odd-one out :
    Solution
    in all other terms digit 4 is used
  • Question 4
    1 / -0
    Pointing to a man on the stage Rita says "He is the brother of the daughter of the wife of my husband" How is the man on the stage related to Rita?
    Solution
    Wife of the husband means herself; Brother of her daughter means her son.
  • Question 5
    1 / -0
    Choose the odd-one out :
    Solution
    in rest $$\displaystyle 2^{nd}$$ number =($$\displaystyle 1^{st}$$ number $$\displaystyle \times $$ 3 ) -10
  • Question 6
    1 / -0
    Choose the odd-one out :
    Solution
    in other group number is in descending order
  • Question 7
    1 / -0
    Find the odd one among the following:
    Solution
    The given numbers can be written as $$(21)^2, (17)^2, (19)^2, (7)^3, (25)^2$$ All except 343 are the squares whereas 343 is a cube.
  • Question 8
    1 / -0
    Find a wrong number in a series: 
    7, 28, 63, 124, 215, 342, 511.
    Solution
    Clearly the correct sequence is :
    $$\displaystyle { 2 }^{ 3 }-1,{ 3 }^{ 3 }-1,{ 4 }^{ 3 }-1,{ 5 }^{ 3 }-1,{ 6 }^{ 3 }-1,{ 7 }^{ 3 }-1,{ 8 }^{ 3 }-1.\\ \therefore 28\quad is\quad wrong\quad and\quad should\quad be\quad replaced\quad with\quad { 3 }^{ 3 }-1 i.e.\quad 26$$.
     Hence, the answer is (b).
  • Question 9
    1 / -0
    If P is brother of Q, R is father of P, S is brother of T, T is daughter of Q, then uncle of S is _______.
    Solution
    P and Q are brothers (Remember that children of Q will have P as their uncle) S and T are brother and sister and both are children of Q Thus uncle of S is P.
  • Question 10
    1 / -0
    3
    Solution
    Rest all are having 4 letters
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