KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math: Questions 176  182 of 265
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Question number: 176
» Basic Mathematics » Geometry » Quadrilateral and Properties
Question
The area of a rectangular ABCD is 40. Points E and F are on the side BC, such that area of the trapezoid AEFD becomes 32. Find the ratio of parallel sides of trapezoid AEFD.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 177
» Complex Numbers and Quadratic Equations » Relation Between Roots and Coefficients
Question
Let α be a root of the equation. The value of is equal to
Choices
Choice (4)  Response  

a.  –126 

b.  240 

c.  48 

d.  – 48 

Question number: 178
» Basic Mathematics » Arithmetic » Number Games
Question
The number of distinct primes dividing is –
Choices
Choice (4)  Response  

a.  7 

b.  6 

c.  8 

d.  9 

Question number: 179
» Basic Mathematics » Arithmetic » Solving Expressions
Question
If x, y are real number such that, then the value of is –
Choices
Choice (4)  Response  

a.  2 

b.  1 

c.  0 

d.  3 

Question number: 180
» Basic Mathematics » Arithmetic » Number Games
Question
Let n > 1 be an integer. Which of the following sets of numbers necessarily contains a multiple of 5?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 181
» Trigonometry » Heights and Distances
Question
The angle of elevation of the top of a building from the foot of tower is 30^{0} and the angle of elevation of the top of the tower from the foot of the building is 60^{0}. If the tower is 45m high, then the height of the building is –
Choices
Choice (4)  Response  

a.  15 

b.  12 

c.  20 

d.  10 

Question number: 182
» Basic Mathematics » Arithmetic » Rates
Question
Mahesh and Joseph are working on an assignment. Mahesh takes 8 hours to type 28 pages on a computer, while Joseph takes 4 hours to type 32 pages. How much time will they take, working together on two different computers to type an assignment 69 pages?
Choices
Choice (4)  Response  

a.  9 hr 

b.  9 hr 25 min 

c.  8 hr 30 min 

d.  10 hr 15 min 
