Beyond Horizon Set 1 Paper 2
20 questions · 75 min · Difficulty 48 · by Beyond Horizon
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Questions in this paper
- Question 1The complete set of values of x for which (x^2-1)(x-2)>0 is:
- Question 2If m men can do a job in d days, then the number of days in which m+r men can do the job is:
- Question 3A club with x members is organized into four committees according to the following rules: - (i) Each member belongs to exactly two…
- Question 4Consider the relation “a person x shakes hand with a person y.” If x shakes hand with y, then y shakes hand with x. In a gathering of 99…
- Question 5Consider the sequence: a_1=101, a_2=10101, a_3=1010101, …. Then a_k is a composite number (that is, not a prime number):
- Question 6If the product of an odd number of odd integers is of the form 4n+1, then:
- Question 7Let p,q,s be integers with q≠0 such that p^2=sq^2. Then it follows that:
- Question 8Given that log_p x=α and log_q x=β, the value of log_(p/q)x equals:
- Question 9Let a,b,c be real numbers. Then the fourth-degree polynomial in x: acx^4+b(a+c)x^3+(a^2+b^2+c^2)x^2+b(a+c)x+ac
- Question 10Let S be the set of all numbers of the form 4^n-3n-1, where n=1,2,3,…. Let T be the set of all numbers of the form 9(n-1), where n=1,2,3,……
- Question 11Mr. Earl E. Bird leaves home every day at 8:00 AM to go to work. If he drives at an average speed of 40 miles per hour, he will be late by…
- Question 12Define x y to be |x-y| for all real numbers x and y. Which of the following statements is not true?
- Question 13A set of tiles numbered 1 through 100 is modified repeatedly by the following operation: *remove all tiles numbered with a perfect square…
- Question 14Evaluate the integral: ∫_(-0.5)^(2.5)2^(lfloor xrfloor) dx where lfloor xrfloor is the floor of x.
- Question 15When 15 is appended to a list of integers, the mean is increased by 2. When 1 is appended to the enlarged list, the mean of the enlarged…
- Question 16For how many integers n is (n)/(20-n) the square of an integer?
- Question 17The mean, median, unique mode, and range of a collection of eight integers are all equal to 8. The largest integer that can be an element…
- Question 18Consider the following statements: - (1) Not every polygon whose angles are all equal is regular. - (2) For some n≥3, every n-sided polygon…
- Question 19Let x,y,z be real numbers. Then only one of the following statements is true. Which one is it?
- Question 20Evaluate the following integral (integration by parts is not needed) ∫_(frac12)^1ln x dx