March 19, 2017 | Author: Narmadha Ramesh | Category: N/A
10
5
(2007-2011)
INSTANT
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International Mathematics Olympiad
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National Science Olympiad
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MTG Work-Books / olympiad books CLASS 9
International Mathematics Olympiad
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National Science Olympiad
Science IQ Challenge
National Cyber Olympiad
Psychology of Success
The Secrets of SUCCESS
International English Olympiad
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CLASS 10
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Math IQ Challenge
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Psychology of Success
The Secrets of SUCCESS
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IIT-JEE | AIEEE | NEET | BOARDS | OLYMPIAD | NTSE
FOUNDATION COURSE For Classes 8, 9 & 10 Class 8
Class 9
Class 10
1st
Year 2007
Class 10
1st IMOSETA - 2007
2
SECTION I : LOGICAL REASONING Direction (Q1 3): In each of the following three questions a series of numbers/alphabets is given which follows certain rules. One of the numbers/alphabets is missing. Choose the missing number/ alphabets from the alternatives given below. 1.
284, 140, 68, ? (A) 70
(B) 34
(C) 32
(D) 60
(B) 18
(C) 24
(D) 22
(B) ETK
(C) ERS
(D) ERJ
(E) None of these. 2.
17496, 1944, 216, ? (A) 20 (E) None of these.
3.
AXB, BWD, CVF, DUH, ? (A) ETJ (E) None of these. Direction (Q4 5): In each of the following questions there are five groups of letters four of them are alike in some manner, while one is different. Find out the different one.
4.
(A) NOPR
(B) SURT
(C) PROQ
(D) FHEG
(B) BDFH
(C) IKMO
(D) YACE
(E) None of these. 5.
(A) ACEG (E) None of these.
6.
In a row of 40 children facing North, Satish is eighth to the right of Ajay. If Ajay is 18th from the right end of the row, how far is Satish from the left end of the row? (A) 32nd
(B) 10th
(C) 31st
(D) 29th
(E) None of these. 7.
In the following figure, the represents educated, the represents urban and the the honest people. Study the figure carefully and answer the question which follow.
represents s
1 3 6 4
7 2 5
Which number represents who are honest but not educated and not urban? (A) 2
(B) 1
(C) 6
(D) 3
(E) None of these. 8.
In a certain code ‘PURE’ is written as ‘QVQD’ and ‘COPE’ is written as ‘DPOD’. How is ‘WHEN’ written in that code? (A) XIFO (E) None of these.
(B) VGDM
(C) XIDM
(D) VGFO
SETA 9.
1st IMO - 2007 Class 10
3
Arrange the words in the sequence in which they occur in dictionary. 1.
Indorse
(A) 1 2 3 4
2.
Infant
3.
(B) 1 2 4 3
Infidel
(C) 4 3 2 1
4.
Inflect
(D) 3 4 2 1
(E) None of these. Direction (Q10 11): In the following questions select from the answer choices an appropriate number to replace the question mark 3
10.
6
45
(A) 117
9
11 1
85
?
(B) 122
2
(C) 123
(D) 141
(E) None of these.
9
6 99
11. ?
(A) 10
(B) 14
15
(C) 5
(D) 9
(E) None of these. 12. Seema and Rajat start together from a point. They walk 10 kms towards North. Seema turns to her left and walk 5 kms, while Rajat turns Right and walk only 3 kms. Now Seema turns towards her left and Rajat towards his right and both walk 15 kms forward. How far are they from each other (A) 2 kms
(B) 8 kms
(C) 13 kms
(D) 15 kms
(E) None of these. 13. How many right angled triangles are there in the given figure (A) 12
(B) 15
(C) 9
(D) 11
(E) None of these. 14. Assume A = 0, B = 2, C = 1, D = 3, E = 4, F = –2, M = 10 B × C + A + D × M = ? (A) 32
(B) 52
(C) 22
(D) 42
(E) None of these. 15. Four of the following five are alike in a certain way and so form a group. Which is the one that does not belong to that group? (A) March
(B) January
(C) July
(D) June
(E) May. 16. If P denotes +, Q denotes –, R denotes × and S denotes ¸ , which of the following statements is correct. Select the appropriate number among the given choices. 36 R 4 S 8 Q 7 P 4 = ? (A) 58 (E) None of these.
(B) 55
(C) 63
(D) 15
Class 10
1st IMOSETA - 2007
4
17. The positions of how many digits in the number 7354612 will remain unchanged after the digits within the number are rearranged in descending order from left to right? (A) One
(B) Two
(C) Three
(D) More than three.
(E) None of these. 18. X and Y are sisters. Y is wife of Z, P is son of Q, M is daughter of Y. N is husband of X, Q is father of Y. O is daughter of L, K is wife of L. X is mother of L. Who is the brother of L? (A) M
(B) Z
(C) L
(D) Q
(E) P. Direction (Q19 20): Read carefully the information given below. In a group of five boys A, B, C, D and E. A and C are good in English and Maths, B and C are good in English and General knowledge, E and D are good in Science and Drawing. B and D are good in Drawing and General knowledge. While E is good in Drawing, Maths and Science. 19. Who is good in English, Drawing and General knowledge? (A) A
(B) B
(C) E
(D) C
(E) D. 20. Who is good in English and Maths but weak in General kowledge? (A) E
(B) C
(C) A
(D) D
(E) B.
SECTION II : MATHEMATICAL REASONING 21. The weighted median A w is equal to (A)
å wx å w
(B)
å xF å F
(C)
å
x n
(D)
å x
(E) None of these. 22. What will be the difference of the roots of quadratic equation 4y 2 – 4y + 1 = 0? (A) 0
(B) 1
(C) -
1 2
(D) 2
(E) None of these. 23. The area of sector is equal to (A) pr 2
(B)
pr 2 q 360 °
(C) p(R + r) (R – r)
(D) 2pr
(E) None of these. 24. The mode of data given below is 16. What is the value of x ? 13, 15, 16, 14, 16, 14, 13, 14, 13, x, 16, 17, 18, 17 (A) 15
(B) 16
(C) 17
(D) 18
(C) 6
(D) 8
(E) None of these. 25. The number of subsets of A = {0, 7, 8} will be (A) 3 (E) None of these.
(B) 5
SETA
1st IMO - 2007 Class 10
5
26. If a, b be the roots of equation 4x 2 – 7x + 3 = 0 then the value of 25 12 (E) None of these. (A)
(B)
23 8
(C)
a b + will be b a
24 25
(D)
24 23
27. If the price of a material is increased by 10% and again increased price is decreased by 10%, then what will be the loss percentage? (A) 1%
(B) 1.5%
(C) 2%
(D) 5%
(E) None of these. 28. Which of the statements given below is correct, if discriminant for equation 5x 2 – 4x + 2 = 0 is D ? (A) D > 0
(B) D = 0
(C) D
