Mathematics (NTSE Stage2 (NationalLevel) ScholasticAptitude & Language Comprehension): Questions 79  84 of 119
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Question number: 79
» Mathematics » Mensuration
Question
∆ABC is a triangle with AB = AC and BC = 9 cm. If the height from A to BC is 6 cm, then the height from C to AB (in cm), is
Choices
Choice (4)  Response  

a.  6.0  
b.  7.2  
c.  7.5  
d.  8.0 
Question number: 80
» Mathematics » Simple Interest and Compound Interest
Question
If the simple interest for a certain sum at 7 % per annum for 2 years is Rs. 400. What will be the difference between the compound interest and simple interest?
Choices
Choice (4)  Response  

a.  Rs. 14  
b.  Rs. 16  
c.  Rs. 12  
d.  Rs. 10 
Question number: 81
» Mathematics » Direct and Inverse Variation
Question
Two candles have different lengths and thickness. The shorter lasts 11 h and the longer 7 h when both are lit simultaneously. If after 3 h of their being lit together at the same time, both have the same length, then the ratio of their original lengths is
Choices
Choice (4)  Response  

a.  10: 13  
b.  7: 11  
c.  11: 14  
d.  5: 8 
Question number: 82
» Mathematics » Basic Geometry
Question
In a quadrilateral ABCD, if AB CD, ∠D = 2∠B, AD = b and CD = a, then the side AB is of length
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 83
» Mathematics » Mensuration
Question
If a cube has surface area S and volume V, then the volume of the cube of surface area 2S is
Choices
Choice (4)  Response  

a.  4V  
b. 
 
c. 
 
d. 

Question number: 84
» Mathematics » Mensuration
Question
Find the area of the largest circle that can be drawn inside a rectangle with sides 18 cm and 14 cm.
Choices
Choice (4)  Response  

a.  1078 sq cm  
b.  154 sq cm  
c.  49 sq cm  
d.  378 sq cm 