1
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent?
A
$$8.{}^6{C_4}.{}^7{C_4}$$
B
$$6.7.{}^8{C_4}$$
C
$$6.8.{}^7{C_4}$$.
D
$$7.{}^6{C_4}.{}^8{C_4}$$
2
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Statement - 1 : $$\sum\limits_{r = 0}^n {\left( {r + 1} \right)\,{}^n{C_r} = \left( {n + 2} \right){2^{n - 1}}.} $$
Statement - 2 : $$\sum\limits_{r = 0}^n {\left( {r + 1} \right)\,{}^n{C_r}{x^r} = {{\left( {1 + x} \right)}^n} + nx{{\left( {1 + x} \right)}^{n - 1}}.} $$
A
Statement - 1 is false, Statement - 2 is true
B
Statement - 1 is true, Statement - 2 is true; Statement - 2 is a correct explanation for Statement - 1
C
Statement - 1 is true, Statement - 2 is true; Statement - 2 is not a correct explanation for Statement - 1
D
Statement - 1 is true, Statement - 2 is false
3
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
The first two terms of a geometric progression add up to 12. the sum of the third and the fourth terms is 48. If the terms of the geometric progression are alternately positive and negative, then the first term is
A
- 4
B
- 12
C
12
D
4
4
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
The perpendicular bisector of the line segment joining P(1, 4) and Q(k, 3) has y-intercept -4. Then a possible value of k is :
A
1
B
2
C
-2
D
-4
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