1
IIT-JEE 2007
MCQ (Single Correct Answer)
+2
-0.5
Among the following the paramagnetic compound is
A
Na2O2
B
O3
C
N2O
D
KO2
2
IIT-JEE 2007
MCQ (Single Correct Answer)
+2
-0.5
The question contains STATEMENT - 1 (Assertion) and STATEMENT - 2 (Reason) and has 4 choices (a), (b), (c) and (d) out of which ONLY ONE is correct.
STATEMENT - 1 Alkali metals dissolve in liquid ammonia to give blue solutions. because
STATEMENT - 2 Alkali metals is liquid ammonia give solvated species of the type [M(NH3)n]+ (M = alkali metals)
A
Statement - 1 is true and Statement - 2 is true; Statement - 2 is a correct explanation for Statement - 1
B
Statement - 1 is true and Statement - 2 is true; Statement - 2 is not a correct explanation for Statement - 1
C
Statement - 1 is True, Statement - 2 is False
D
Statement - 1 is False, Statement - 2 is True
3
IIT-JEE 2007
MCQ (Single Correct Answer)
+3
-0.75
Let $${H_1},{H_2},....,{H_n}$$ be mutually exclusive and exhaustive events with $$P\left( {{H_1}} \right) > 0,i = 1,2,.....,n.$$ Let $$E$$ be any other event with $$0 < P\left( E \right) < 1.$$
STATEMENT-1:
$$P\left( {{H_1}|E} \right) > P\left( {E|{H_1}} \right).P\left( {{H_1}} \right)$$ for $$i=1,2,....,n$$ because

STATEMENT-2: $$\sum\limits_{i = 1}^n {P\left( {{H_i}} \right)} = 1.$$

A
Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
B
Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
C
Statement-1 is True, Statement-2 is False.
D
Statement-1 is False, Statement-2 is True
4
IIT-JEE 2007
MCQ (Single Correct Answer)
+3
-0.75
Let $$ABCD$$ be a quadrilateral with area $$18$$, with side $$AB$$ parallel to the side $$CD$$ and $$2AB=CD$$. Let $$AD$$ be perpendicular to $$AB$$ and $$CD$$. If a circle is drawn inside the quadrilateral $$ABCD$$ touching all the sides, then its radius is
A
$$3$$
B
$$2$$
C
$${3 \over 2}$$
D
$$1$$
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