Basic Mathematics (KVPY StreamSA (Class 11) Math): Questions 73  78 of 156
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Question number: 73
» Basic Mathematics » Arithmetic » Number Games
Question
The number of distinct primes dividing 12! + 13! + 14! is –
Choices
Choice (4)  Response  

a.  7  
b.  6  
c.  5  
d.  8 
Question number: 74
» Basic Mathematics » Algebra » Solving Equations
Question
Let p, q, r, s be real numbers such that , and . Then the set of all possible values of is –
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 75
» Basic Mathematics » Arithmetic » Absolute Value
Question
The least positive integer n from which is,
Choices
Choice (4)  Response  

a.  9  
b.  10  
c.  12  
d.  15 
Question number: 76
» Basic Mathematics » Arithmetic » Ratio and Proportion
Question
A business man travels 900 km by train at 70 km/hr, 700 km by ship at 55 km/hr, 750 km by aero plane at 375 km/hr and 50 km by car at 50 km/hr. So the average speed (in km/hr) for entire distance is –
Choices
Choice (4)  Response  

a.  82  
b.  86  
c.  80  
d.  84 
Question number: 77
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Question
Let ABCD be a square of side length 1, and a circle of radius r, passing through B and C, and touching AD. The radius of r is –
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 78
» Basic Mathematics » Geometry » Triangle and Properties
Question
In a triangle ABC, points X and Y are on AB and AC, respectively, such that XY is parallel to BC. Which of the two following equalities always hold? (Here [PQR] denotes the area of triangle PQR) –
(I) [BCX] = [BCY]
(II)
Choices
Choice (4)  Response  

a.  (II)  
b.  Neither (I) nor (II)  
c.  (I)  
d.  Both a. and c. are correct 