KVPY StreamSA (Class 11) Math: Questions 173  176 of 265
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Question number: 173
» Basic Mathematics » Arithmetic » Rates
Question
Given area three cylindrical buckets A, B, C whose circular bases are of radii 4, 6, 8 units, respectively. Initially water is filled in these buckets up to the same height. Some water is then transferred from C to A so that they both have the same volume of water. Some water is then transferred between A and B so that they both have the same volume of water. If, denote the heights of water at this stage in the buckets B, C respectively, then the ratio equals –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 174
» Basic Mathematics » Geometry » Triangle and Properties
Question
In a triangle PQR with ∠Q = 90°, M is a point on PR such that QM: QR = 5: 2. If and , then MR: MP is –
Choices
Choice (4)  Response  

a. 


b.  1: 2 

c.  2: 1 

d. 


Question number: 175
» Sequence and Series » Relation Between AM and GM
Question
Let m, n, o be three nonnegative integers such that. The maximum possible value of is,
Choices
Choice (4)  Response  

a.  160 

b.  320 

c.  240 

d.  510 

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. 

