Mathematics (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 13  19 of 218
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Question number: 13
» Mathematics » Mensuration
Question
A hollow sphere of internal and external diameters 4 cm and 8 cm, respectively is melted into a cone of base diameter 8 cm. The height of the cone is
Choices
Choice (4)  Response  

a.  12 cm 

b.  11 cm 

c.  16 cm 

d.  14 cm 

Question number: 14
» Mathematics » Quadratic Equations
Question
If
, then the value of
is
Choices
Choice (4)  Response  

a.  27/2 

b.  9/2 

c.  9/4 

d.  25/4 

Question number: 15
» Mathematics » Quadratic Equations
Question
Sum of the roots of the equation x ^{2} + 5x + 6 = 0 is
Choices
Choice (4)  Response  

a.  4 

b.  4 

c.  5 

d.  5 

Question number: 16
» Mathematics » Basic Geometry
Question
The mean proportional between (2 + ) and (8  ) is
Choices
Choice (4)  Response  

a.  3 

b.  2 

c.  3: 1 

d.  2: 3 

Question number: 17
» Mathematics » Trigonometry
Question
AB and CD are two parallel lines. PQ cuts AB and CD at E and F irrespectively. EL is the bisector of ⦟FEB. If ⦟LEB = 35°, then ⦟CFQ will be
Choices
Choice (4)  Response  

a.  85° 

b.  95° 

c.  70° 

d.  110° 

Question number: 18
» Mathematics » Arithmetic
Question
Arjun bought two buffaloes for Rs. 30, 000, by selling one at a loss of 15 % and other at a gain of 19%, he found the selling price of both buffaloes is the same. The cost price of each buffalo is
Choices
Choice (4)  Response  

a.  Rs. 17500 and Rs. 12500 

b.  Rs. 16000 and Rs. 14000 

c.  Rs. 18000 and Rs. 12000 

d.  Rs. 17000 and Rs. 13000 

Question number: 19
» Mathematics » Basic Geometry
Question
A person can run around a circular path of radius 21 m in 44 s. In what time will the same person run a distance of 3 km?
Choices
Choice (4)  Response  

a.  16 min 30s 

b.  18 min 30s 

c.  16 min 40s 

d.  18 min 40s 
