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Imo Class 12 Essay

1646 words - 7 pages

1 

Class 12 CLASS

SOF­INTERNATIONAL  MATHEMATICS OLYMPIAD

SAMPLE PAPER

12
Time : 1 hr.

Total Questions : 50

LEVEL-II
Guidelines for the Candidate 1. You will get additional ten minutes to fill up information about yourself on the Answer Sheet, before the start of the exam. 2. The Question Paper comprises four sections: Logical Reasoning (20 Questions), Mathematical Reasoning (15 Questions), Everyday Mathematics (10 Questions) and Achievers Section (5 Questions) Each question in Achievers Section carries 3 marks each, whereas all other questions carry one mark each. 3. All questions are compulsory.There is no negative marking. Use of calculator is not permitted. 4. ...view middle of the document...

Class 12 

2 

LOGICAL REASONING 
1.  Missing  character  in  the  given  figure  is  _____.  (A)  64  (B)  125  (C)  512  (D)  343  2. 
8  5  9 

27  216  3  6 

12  729  ?  3  14 

In  the following series, how many such  even numbers are there which are divisible by 4  or 6,  and  followed  by  even  number  and  preceded  by  odd  number  ?  4    7    3    16    2    9    2    6    6    5  9  18    4    3    8    7    1    8    14    2    6  (A)  2  (B)  3  (C)  4  (D)  5 

3. 

In  a row  of  girls Alka and  Kamini  occupy  the  ninth  place  from  the right  end  and  tenth place  from  the left end, respectively. If they interchange their places, Alka and Kamini occupy seventeenth place  from the right and eighteenth place from the left, respectively. How many girls are there in the row?  (A)  25  (B)  26  (C)  27  (D)  Data inadequate 

4. 

A,  B,  C,  D,  E,  F  and  G  are  members  of  a  family  consisting  of  four  adults  and  three  children.  Two  of them, F and G are girls.  A and D are brothers and A is a doctor. E is an engineer married to one  of  the  brothers  and  has  two  children.  B  is  married  to  D  and  G  is  their  child.  Who  is  C  ?  (A)  A's  son  (B)  E 's daughter  (C)  F's father  (D)  G's brother 

5. 

In a certain code language, 'rat cat dog' means 'Morning is pleasant'; 'dog rabbit snake rat' means  'night is  not pleasant' and  'rabbit elephant cat  snake' means 'morning  does not irritate'.  Which of  the  following  means  'night'  in  that  language  ?  (A)  rat  (B)  dog  (C)  snake  (D)  rabbit 

6. 

In  the given question, four sets  of letters are given. Three of them are alike in a certain way while  one  is  different.  Choose  the  odd  one.  (A)  LIJ  (B)  HEG  (C)  VSU  (D)  MJL 

7. 

Ravi walks 2 km towards East and then  he turns to  South  and walks 9 km. Again he turns to East  and walks 3 km. After this  he turns North and walks 21 km. How  far is he from his starting point?  (A)  7 km  (B)  11 km  (C)  13 km  (D)  15 km 

8. 

If × stands for –, ¸ stands for +, + stands for ¸ and – stands for ×, which of the following equations  is  correct  ?  (A)  3 ¸ 7 – 5 × 10 + 3 = 10  (C)  8 ¸ 10 – 3 + 5 × 6 = 8  (B)  6 × 2 + 3 ¸ 12 – 3 = 15  (D)  15 – 5 ¸ 5 × 20 + 10 = 6 

9. 

How  many  squares  are  there  in  the  given  figure  ?  (A)  16  (B)  20  (C)  18  (D)  21 

10. ...

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