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?
Q.3) 22. How many divisors (including 1, but excluding 1000) are there for the number 1000?
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
c) 49/2, 54
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)?
Q.6) What is the maximum value of x3y3 + 3 x*y when x+y = 8?
Q.7) If f(x) = 2x+2 what is f(f(f(3)))?
Q.8 ) What are the total number of divisors of 1728(including 1 and 1728)?
Q.9 )What is the sum of the cube of the first 20 natural numbers (1 to 20)?
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)
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?
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
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
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
|c. 50||d. Cannot be determined|
Q.22) If 41895A8 is divisible by 44 . Find the value of A.