Questions Paper Olmpiad - IMO-MATHEMATI CS

1. 2.13113111311113………..is_______.                
(A)  Rational number                                   
(B) An integer            
(C) An irrational number                              
(D) Not a real number                                 
Ans. (C)
2. Given that H.C.F. (306, 1314) = 18, find L.C.M. (306, 1314).
(A) 83234            
(B) 23238                
(C) 22338                 
(D) 23328                           
Ans. (C)
3. The product of two consecutive natural numbers is always_______.
(A) An even number                                     
(B) An odd number  
(C) A prime number                                     
(D) Divisible by 3                                                 
Ans. (A)
4. A circular field has a circumference of 360 km. Two cyclists Sumeet and Samrat start together and can cycle at speeds       of 12km/hr and 15 km/hr respectively around the circular Field. After how many hours will they meet again at the starting point
(A)  60                      
(B) 8                       
(C) 100                  
(D) 120                                      
Ans. (D)
5.  H.C.F. of (10224, 1608) is _______.
(A) 12                   
(B) 24                    
(C)  48                    
(D) 96                                            
Ans. (B)
6. Find the largest positive integer that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively.
(A) 15                               
(B) 16                      
(C) 17                                   
(D) 18                    
Ans. (C)
7. ax3 + bx2+cx +d = 0 is said to be cubic polynomial if _______.
(A) d ≠ 0                    
(B) c ≠ 0                           
(C) b ≠ 0                           
(D) a ≠ 0                                   
Ans. (D)
8. If the sum of the zeroes of the polynomial f (x) = 2x3 – 3kx2 +4x – 5 is 6, then the value of Of k is _______.
(A) 2                              
(B) 4                            
(C) -2                              
(D) -4                                           
Ans. (B)
9. If a and b are the roots of x2 – px + q = 0, then  + b2 is _____.
(A) p2 +q2              
(B)  p2 +2q                 
(C) p2 - q2                           
(D) p2-2q                                         
Ans. (D)
10. When 3x2 – x3 – 3x +5 is divided by x-1-x2, the quotient and remainder are_____
(A) x+2 , 3                           
(B) x-2, -3                
(C) x-2, 3                        
(D) x+2, -3                             
Ans. (C)
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