Some of important most repeated TCS Questions

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Q.1 ) Raju drives slowly along the perimeter of a rectangular park at 24 kmph and completes one full round in 4 minutes. If the ratio of the length to the breadth of the park is 3:2, what are its dimensions?
a) 480m x 320m
b) 150m x 100m
c) 450m x 300m
d) 100m x 100m

Q.2 )What is the reminder when 6 ^ 17 + 17 ^ 6 is divided by 7?
a) 0
b) 1
c) 3
d) 6

Q.3) 22. How many divisors (including 1, but excluding 1000) are there for the number 1000?
a) 15
b) 16
c) 31
d) 10
Q. 4 ) In the polynomial f(x) =2*x^4 – 49*x^2 +54, what is the product of the roots, and what is the
sum of the roots (Note that x^n denotes the x raised to the power n, or x multiplied by itself n
times)?
a) 27,0
b) 54,2
c) 49/2, 54
d) 49,27

Q.5)  Let f(m,n) =36*m + 24*n, where m and n are integers (positive or negative) What is the minimum positive value for f(m,n) for all values of m,n (this may be achieved for various values of m and n)?
a)9
b)6
c)5
d)12

Q.6) What is the maximum value of x3y3 + 3 x*y when x+y = 8?
a)4144
b)256
c)8192
d)102

Q.7) If f(x) = 2x+2 what is f(f(f(3)))?
a)18
b)8
c)38
d)16

Q.8 )  What are the total number of divisors of 1728(including 1 and 1728)?
a)24
b)25
c)26
d)28

Q.9 )What is the sum of the cube of the first 20 natural numbers (1 to 20)?
a)2870
b)2000
c)5650
d)44100

Q.10) If the price of an Petrol is decreased by 32% and then increased by 38%, the net effect on the price of the item is
a) A decrease of 1.66%
b) No change
c) A increment of 1%
d)  An increase of 82.16%

Q.11) Find the number of trailing zeros in 120!

Q.12)   In a rectangular coordinate system, what is the area of a triangle whose vertices whose vertices have the coordinates (4,0), (6, 3) adn (6 , -3)
a) 6
b) 7
c) 7.5
d)  6.5

Q.13)  If the sum of factors of a number P is 60 , and the sum of reciprocal of factors is 5/2 .Find the number.

Q.14) Find the highest power of 2  in 10!

Q.15) Find the reminder when 3^75 is divided by 5.

Q.16 ) How many prime numbers between 1 and 100 are factors of 7150?

 a)5

b)6

 c)4

d)24

Q.17) If N= 70P, where P is a prime number greater than 2, how many different positive divisors does n have including n?

Q.18) a, b, c are non negitive integers such that 28a+30b+31c = 365. a + b + c = ?
a) Greater than 14
b) less than or equal to 11
c) 13
d) 12

Q.19 )Find the last digit of  847187569^12345678

Q.20 ) If a number is divided by  a divisor , it leaves a remainder of 9 .When twice the same number is divided by same divisor , the remainder is 5 . Find the divisor

 a) 23

b) 13

c)14

d) 17

Q.21)  Two consecutive numbers are removed from the progression 1, 2, 3, …n.  The arithmetic mean of the remaining numbers is 26 1/4.  The value of n is

a. 60 b.81
c. 50 d. Cannot be determined

Q.22) If 41895A8 is divisible by 44 . Find the value of A.

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About Praveenkumar P Kalikeri

ABOUT US Hey,Thanks for dropping by .First I would like to Appreciate for your love towards the Mathematics Subject. My name is Praveenkumar Kalikeri. I'm an Engineering Student from Karnataka , India. My Passion for Mathematics , encouraged me to start this blog . I Started loving the Mathematics subject from my schooling days.I was greatly motivated by teachers, parents who always helped me .        Numbers have Beauty !! They fascinated me .. As we all know best method to try out something new is to study old theories , concepts , its drawbacks, etc. I ,myself Started learning Vedic Mathematics at age of 15. Here , I will share vedic maths tricks learned and modified by me in simple manner which will be useful in various competitive exams. "If You Believe , You Can Do".
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