MathematicsArithmetic (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 7  12 of 12
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Question number: 7
» Mathematics » Arithmetic
Question
Two pipes A and B can separately fill a tank in 12 min and 15 min, respectively. Both the pipes are opened together but 4 min after pipe A is turned off. How much time does pipe B will take to fill the tank?
Choices
Choice (4)  Response  

a.  6 min 

b.  11 min 

c.  12 min 

d.  8 min 

Question number: 8
» Mathematics » Arithmetic
Question
Ravi and Sneh working separately can finish a job in 8 and 12 h, respectively. If they work for an hour alternatively, then Ravi beginning at 9: 00 am. When will the job be finished?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 9
» Mathematics » Arithmetic
Question
For a positive integer n, define d (n) = the number of positive divisors of n. What is the value of d (d (d (12) ) )?
Choices
Choice (4)  Response  

a.  1 

b.  2 

c.  4 

d.  None of the above 

Question number: 10
» Mathematics » Arithmetic
Question
The sum of all twodigit numbers each of which leaves remainder 3 when divided by 5 is
Choices
Choice (4)  Response  

a.  999 

b.  1064 

c.  1120 

d.  952 

Question number: 11
» Mathematics » Arithmetic
Question
A train T_{1} leaves a place P at 5 am and reaches another place Q at 9 am another train T_{2} leaves the place Q at 7 am and reaches the place P at 10: 30 am. The time at which the two trains cross each other is
Choices
Choice (4)  Response  

a.  8: 26 am 

b.  8 am 

c.  7: 56 am 

d.  8: 15 am 

Question number: 12
» Mathematics » Arithmetic
Question
For what value of k, the following system of equations and represent coincident lines?
Choices
Choice (4)  Response  

a.  12 

b.  13 

c.  10 

d.  11 
