Mathematics (NTSE Stage2 (NationalLevel) ScholasticAptitude & Language Comprehension): Questions 59  64 of 112
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Question number: 59
» Mathematics » Exponents
Question
Unit’s digit in the number (12357) ^{655} is
Choices
Choice (4)  Response  

a.  9 

b.  3 

c.  1 

d.  7 

Question number: 60
» Mathematics » Trigonometry
Question
In the given figure, . Find the value of y.
Choices
Choice (4)  Response  

a.  72° 

b.  79° 

c.  74° 

d.  77° 

Question number: 61
» Mathematics » Arithmetic
Question
If the product of two numbers is 21 and their difference is 4, then the ratio of the sum of their cubes to the difference of their cubes is
Choices
Choice (4)  Response  

a.  185: 165 

b.  158: 145 

c.  165: 158 

d.  185: 158 

Question number: 62
» Mathematics » Statistics
Question
A lady reaches her office 20 min late by travelling at a speed of 20 km/h and reaches 15 min early by travelling at 30 km/h. By how much time will she be early or late, if she travels at 25 km/h?
Choices
Choice (4)  Response  

a.  5 min late 

b.  1 min late 

c.  1 min early 

d.  5 min early 

Question number: 63
» 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: 64
» 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 
