Mathematics (NTSE Stage2 (NationalLevel) ScholasticAptitude & Language Comprehension): Questions 65  71 of 112
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Question number: 65
» 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: 66
» 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: 67
» 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: 68
» 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 

Question number: 69
» Mathematics » Number Systems
Question
The product of two numbers is 24 times the difference of these two numbers. If the sum of these numbers is 14, the large number is
Choices
Choice (4)  Response  

a.  6 

b.  8 

c.  10 

d.  5 

Question number: 70
» Mathematics » Statistics
Question
A card is drawn from a well shuffled pack of cards. The probability of getting a queen of club or a king of heart is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  All of the above 

Question number: 71
» Mathematics » Quadratic Equations
Question
For what values of fc, the equation has equal roots?
Choices
Choice (4)  Response  

a.  2 and 12 

b.  6 and 4 

c.  8 and 2 

d.  10 and 4 
