Mathematics (NTSE Stage2 (NationalLevel) ScholasticAptitude & Language Comprehension): Questions 104  111 of 119
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Question number: 104
» Mathematics » Trigonometry
Question
cos 4x is equal to
Choices
Choice (4)  Response  

a.  1 + 8sin^{2}xcos^{2}x 

b.  2cos^{2}2x 

c.  1 + 2sin^{2}2x 

d.  1  8sin^{2}xcos^{2}x 

Question number: 105
» Mathematics » Statistics
Question
The mean of 78 numbers is 27. If each observation is divided by 3, the new mean is
Choices
Choice (4)  Response  

a.  9 

b.  27 

c.  18 

d.  None of the above 

Question number: 106
» Mathematics » Percentage
Question
If cost price of 20 articles is equal to selling price of 12 articles, then the profit percentage is
Choices
Choice (4)  Response  

a.  33.3% 

b.  66.7% 

c.  28% 

d.  50% 

Question number: 107
» Mathematics » Trigonometry
Question
In the figure below, PQ = QS, QR = RS and ∠SRQ = 100°. Find the value of ∠QPS.
Choices
Choice (4)  Response  

a.  40° 

b.  15° 

c.  35° 

d.  20° 

Question number: 108
» Mathematics » Statistics
Question
If the mean and median of a set of numbers are 8.9 and 9 respectively, then the mode will be
Choices
Choice (4)  Response  

a.  8.2 

b.  9.2 

c.  10.2 

d.  7.2 

Question number: 109
» Mathematics » Probability
Question
If an alphabet is selected from English alphabet, then probability of selecting a vowel is
Choices
Choice (4)  Response  

a.  16/26 

b.  5/26 

c.  5/21 

d.  21/26 

Question number: 110
» Mathematics » Quadratic Equations
Question
If a and b are the roots of the equation , then the value of ) is equal to
Choices
Choice (4)  Response  

a. 


b. 


c.  5 

d.  All of the above 

Question number: 111
» Mathematics » Percentage
Question
A shopkeeper purchased 300 pens and sold one out of four pens at no loss or profit. He sold the remaining pens at a profit of 20%. What is his overall profit or loss per cent on the whole transaction?
Choices
Choice (4)  Response  

a.  12 % profit 

b.  15 % loss 

c.  15 % profit 

d.  12 % loss 
