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Common Instructions to Candidates: 1) This is a question cum answer paper booklet. 2) Space is provided to write answers below each question. Answer should be written within the space provided. 3) This question paper has 58 questions including the matching type question. 4) Candidate should not write the answer with pencil. Answer written with pencil will not be evaluated (Except graphs, diagrams & maps). 5) In case of multiple choice, fill in the blanks and matching questions, scratching, rewriting & marking is not allowed. Answers with such errors will not be evaluated.
I.
Four alternatives are given to each of the following incomplete statements. Select the most appropriate one and write its serial letter and also the correct answer in the space provided. [20 x 1 = 20] 1. If Tn = (–1)n, then the correct relation between the sum of terms is a) c) 2. S1 = S2 S3 = S4 b) d) S2 = S3 S2 = S4
HCF of ab, bc and ac is a) c) abc 1 b) d) a2 b2 c2 ab + bc + ac.
3.
The corresponding sides of two similar triangles are in the ratio 4 : 9. The ratio between their areas is a) c) 2:3 81 : 16 b) d) 16 : 81 14 : 19
4.
If 9 x = 12 + 147 , the value of x is a) 12 b) 9 c) 3 d)
3
5.
The incorrect statement among the following is a) c) n n
Pn = nCn P0 = nC0
b) d)
-2-
n n
P1 = n C 1 Pn = nPn–1
P118
6. An example for HP among the following is a) c) 7. 1, 1,
1 2 3 , , 2 3 4 2 1 2 , , 3 2 5
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b) d)
1 1, 1 , 1 , 3 6 9
1,
1 1 1 , , 4 7 9
A non - traversable network among the following is
a)
b)
c)
d)
8.
The fourth term of the sequence a) c) 9 27 3
3 , 3, 3 3 is b) 21
d)
9 3
9.
The LCM of (x + y)2, (x – y)2 and (x2 – y2) is a) c) (x2 + y2)2 (x2 - y2)2 b) d) x4 – y4 (x + y) (x – y)3
10. The sum and the product of three numbers are 0 and 30 respectively. The sum of their cubes is a) c) 0 160 b) d) 90 900
11. If v2 = u2 + 2as, then the value of ‘u’ is a) c) v2 - 2as b) d)
-3-
± v 2 + 2as
± v 2 − 2as
2as – v2
P118
12. The quadratic equation whose