workshhet for imo level

1. IMO
CLASS XI
1. A total of 91 boys are seated in three rows .The ratio between the number of those
seated in the first row and those in the second is 5:2 and the ratio between the
number of boys seated in the second row and those in the third row is 1:3 .How many
boys were there in the second ?
A) 35
B) 14
C) 42
D ) 56
Answer: B
2. Find the missing number
a)6
Answer: C
b) 8
c) 7
d) 11
3. The ratio between larger and smaller number is 12 less than the product of these two
numbers .The square of smaller number is half of the larger number .What is the total sum of
these two numbers ?
A) 2
B) 16
C) 18
D) 10
Answer: D
4. Numbers X and Y are positive and odd, and the number Z is also positive but even. Then
which of the following is not true
A) (X-Z)2Y is even B) (X-Z) Y is odd
C) (X-Z) Y2 is odd
D) (X-Y)2 Z is even
Answer: A
5.N = 1421 x 1423 x 1425 what is the remainder when N is divided by 12
A) 0
B) 1
C) 3
Answer: C
D) 9
6. How many four sided shapes does this diagram have?
A.
12-15
Answer C
B)16-21
C)22-30
D)30-35

2. 7. Which of the following cubes can you build by assembling the parts given below?
A.
B)
ANSWER: C
C)
D)
8. If first letter is interchanged by sixth letter, second by seventh and so in the word
INTERVOLVE then which will be the sixth letter from your right in the new word' ?
A) L
B) E
C) V
Answer B
D) O
9.How many such letter-pairs are there in the word SMUGGLER having same no. of letters
left between them as they have in the series?
A) 2
B) 3
C) 4
D) 1
Answer A
10. In the following series if 4–4 letters from left are written in the reverse order then which
will be the 8th letter to the left of 10th letter from your right?
ABCDEFGHUKLMNOPQRSTUVWXYZ.
A) Y
B) Z
C) L
D) K
Answer C