Unified Council: Unified International Mathematics Olympiad
Unified Council: Unified International Mathematics Olympiad
Unified Council: Unified International Mathematics Olympiad
A n I SO 9 0 0 1 : 2015 Ce r t i f i e d Or g a n i sa t i o n
CLASS - 6
Question Paper Code : UM9246
KEY
1 2 3 4 5 6 7 8 9 10
C A D A B D A C C A
11 12 13 14 15 16 17 18 19 20
D A B D B D A B A C
21 22 23 24 25 26 27 28 29 30
C A C B A C C B D A
31 32 33 34 35 36 37 38 39 40
A,B,C A,B,C A,C,D A,B,C A,C,D D C B C D
41 42 43 44 45 46 47 48 49 50
B B B D B C B A A D
EXPLANATIONS
MATHEMATICS - 1
180
x 30
9: (C) Given AB : BC : CA = 2 : 3 : 5 = 2x : 3x : 5x 6
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2 5 REASONING
28: (B) Required value
3 6
4 5
6 36: (D) :
9
6
37: (C) (2) Flipper (3) Flirt (4) Flock (5) Floor
3 (1) Flower
2
2 4 5 3
29: (D) 0.66, 0.8, 0.83, 0.75 38: (B)
3 5 6 4
5 2 39: (C)
Biggest 0.83 & smallest 0.66
6 3
5 2 54 1
Horse
6 3 6 6 Pig
3 3
33 15 Cow
30: (A) N 9 Dog
51 11
Cat
M 9
1 40: (D) Since A did not go to the movie on the
N 9
same days as B and C. He did not go to
MATHEMATICS - 2 the movie on Friday, Sunday, Monday,
31: (A,B,C) Wednesday or Thursday. So clearly A went
to the movie on Tuesday or Saturday.
Options A, B, C have atleast one line of
symmetry. A B C
32: (A,B,C) Mon
Sum of two prime numbers need not be Tue
even because 2 + 7 = 9 Wed
33: (A,C,D) Thur
Fri
If ab = 0 then a = 0 (or) b = 0 (or) a = b = 0
Sat
34: (A,B,C)
Sun
A triangle can not have both obtuse and
right angle 41: (B) Putting the proper signs in the given
expression,
35: (A,C,D)
16 + 8 × 4 ÷ 2 – 4 = 16 + 8 × 2 – 4
Statement A, C & D are true about LCM
= 16 + 16 – 4 = 32 – 4 = 28
42: (B)
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2nd_UCO_I_SOL.
43: (B) Start with A, AB, ABC, ABCD, ABCDE, next 48: (A)
series in ABCDEF.
(A) is correct because it is a rewording of the
44: (D) The smaller shapes in image 1 become second statement. If "None of John's
the larger shape in image 2 and the larger shoes are green," then "All of John's
shape in image 1 becomes the smaller shoes are not green."
shape in image 2. Only option D satisfies
this analogy. (B) is incorrect because no information is
provided about whether John has orange
45: (B) Number of letters in the word 10 – 1 = 9. shoes.
CRITICAL THINKING (C) is incorrect because no information is
46: (C) provided about whether John has black
shoes.
Therefore, the correct answer is (A).
49: (A)
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2nd_UCO_I_SOL.