Jamia Millia Islamia 2016 Previous Year Questions (PYQs) – Page 9 of 10
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If ‘234’ is to ‘10’, then ‘345’ is to ____.
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Solution
Coding used: sum of digits + 1.
$2+3+4=9 \Rightarrow 9+1=10$.
$3+4+5=12 \Rightarrow 12+1=13$.
Find odd one out
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Solution
Map letters to alphabet positions: C=3, I=9, S=19 (all odd), T=20 (even).
Hence T is different.
If HOTEL = 55, then BORE = ?
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Solution
Use sum of letter positions: B(2)+O(15)+R(18)+E(5)=40.
(Note: For HOTEL, sum is 60; the stated 55 appears to be a misprint.)
In a certain code 13479 → AQFJL and 5268 → DMPN. How is 396824 written?
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Solution
Digit→letter map from samples:
1→A, 3→Q, 4→F, 7→J, 9→L, 5→D, 2→M, 6→P, 8→N.
Thus 396824 → 3 9 6 8 2 4 → Q L P N M F → QLPNMF.
If $54+43=2,\ 60+51=10$, then $62+72=\ ?$
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Solution
Rule: $(ab)+(cd)\ \mapsto\ (a-b)+(c-d)$ (sum of digit-differences).
$54+43 \Rightarrow (5-4)+(4-3)=1+1=2$.
$60+51 \Rightarrow (6-0)+(5-1)=6+4=10$.
$62+72 \Rightarrow (6-2)+(7-2)=4+5=9$.
A and B are brothers. C and D are sisters. A’s son is D’s brother.
How is B related to C?
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Solution
A’s son is D’s brother ⇒ A is the father of D (hence father of C too since C & D are sisters).
B is A’s brother ⇒ B is C’s uncle.
Introducing Sanjay, Rinki said, “His brother’s father is the only son of my grandfather.”
How is Rinki related to Sanjay?
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Solution
“The only son of my grandfather” = Rinki’s father.
“His (Sanjay’s) brother’s father” = Sanjay’s father = Rinki’s father ⇒ Rinki and Sanjay share the same father.
Hence Rinki is Sanjay’s sister.
A is the brother of B, B is the brother of C. D is the father of A.
Which of the following statements cannot be definitely true?
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Solution
C’s gender is not given. So “C is the brother of A” cannot be asserted; C could be sister.
The other statements can be true under usual family assumptions.
A, B, C, D and E when arranged in descending order of their weights from the top, A becomes third, E is between D and A while C and D are not at the top. Who is the second heaviest?
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Solution
Descending order (top = heaviest).
A is 3rd. “E is between D and A” and “D is not at the top”.
So A (3rd) > E > D ⇒ E is 4th, D is 5th.
Remaining top two are B and C, and “C is not at the top”, so C is 2nd and B is 1st.
Q, R, S, T, U and V are seated in a straight line facing North.
S is second to the right of T and T is second to the right of Q.
R is to the left of Q and second to the left of V.
What is Q’s position with respect to S?
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Solution
Let positions be 1 (leftmost) to 6 (rightmost).
$T$ is second right of $Q$ ⇒ $T=Q+2$.
$S$ is second right of $T$ ⇒ $S=T+2=Q+4$.
So $Q$ can be 1 or 2.
Try $Q=2$ ⇒ $T=4$, $S=6$.
$R$ is left of $Q$ and 2 left of $V$ ⇒ take $R=1$, then $V=3$ (fits).
Arrangement: $1\!:\!R,\ 2\!:\!Q,\ 3\!:\!V,\ 4\!:\!T,\ 5\!:\!U,\ 6\!:\!S$.
Thus $Q$ is **fourth to the left** of $S$.
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