Mathematics (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 71  76 of 218
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 1042 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 450.00 or
Question number: 71
» Mathematics » Trigonometry
Question
Two posts are K m apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevation of their tops to be complementary, then the height (in m) of the shorter post is
Choices
Choice (4)  Response  

a. 


b. 


c.  3K 

d.  2K 

Question number: 72
» Mathematics » Basic Geometry
Question
Let D and E be the points on sides AB and AC, respectively of a ∆ A B C
such that DE is parallel to BC. Let AD = 2 cm, DB = 1 cm, AE = 3 cm and area of ∆ A D E = 3 c m 2
. What is the value of EC?
Choices
Choice (4)  Response  

a.  1.5 cm 

b.  2.1 cm 

c.  1.8 cm 

d.  1.6 cm 

Question number: 73
» Mathematics » Simple Interest and Compound Interest
Question
A sum amount to Rs. 9680 in 2 year and to Rs. 10648 in 3 year compounded annually. Then, the sum and rate of interest respectively are
Choices
Choice (4)  Response  

a.  Rs. 8500, 9% 

b.  Rs. 8500, 10% 

c.  Rs. 8000, 10% 

d.  Rs. 8000, 9% 

Question number: 74
» Mathematics » Linear Equation
Question
The sum of two numbers is 15. If the sum of their reciprocals is , then the numbers are
Choices
Choice (4)  Response  

a.  7, 8 

b.  10, 5 

c.  8, 7 

d.  6, 9 

Question number: 75
» Mathematics » Linear Equation
Question
The value of x satisfying the equation is
Choices
Choice (4)  Response  

a.  5 

b.  0, 5 

c.  0, 4 

d.  Question does not provide sufficient data or is vague 

Question number: 76
» Mathematics » Basic Geometry
Question
If AB is parallel to CD, EF intersects them at M and N. The bisectors of ⦟BMN and ⦟MND meet at Q. If then ⦟MQN is
Choices
Choice (4)  Response  

a.  80° 

b.  90° 

c.  70° 

d.  60° 
