Basic MathematicsArithmetic (KVPY StreamSA (Class 11) Math): Questions 75  79 of 83
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Question number: 75
» Basic Mathematics » Arithmetic » Number Games
Question
Let be natural numbers in an arithmetic progression such that in the cube of an integer and is square of integer. The least possible value of the number of digits of is. (Model Paper)
Choices
Choice (4)  Response  

a.  16 

b.  4 

c.  25 

d.  9 

Question number: 76
» Basic Mathematics » Arithmetic » Simplifying Expressions
Question
The least positive integer for which
is – (Model paper)
Choices
Choice (4)  Response  

a.  7 

b.  2 

c.  4 

d.  3 

Question number: 77
» Basic Mathematics » Arithmetic » Simplifying Expressions
Question
Let be non – zero real number such that and , then is equal to, (Model paper)
Choices
Choice (4)  Response  

a.   75 

b.  55 

c.   55 

d.  150 

Question number: 78
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2016
Question
The number of all digit numbers such that is equal to the sum of the square of digit in its tens place and the cube of the digit in units place is
Choices
Choice (4)  Response  

a.  0 

b.  1 

c.  2 

d.  4 

Question number: 79
» Basic Mathematics » Arithmetic » Rates, Speeds and Unitary Method
Appeared in Year: 2016
Question
There are two candles of same length and same size. Both of them burn at uniform rate. The first one burns in and the second one burns in . Both the candles are lit together. After how many minutes the length of first candle is times that of the other?
Choices
Choice (4)  Response  

a.  150 

b.  90 

c.  135 

d.  120 
