Beyond Horizon Set 2 Paper 2
18 questions · 68 min · Difficulty 43 · by Beyond Horizon
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2 questions have been withdrawn and are left out of practice sessions.
Question paper ↗Answer key ↗Original question paper (before corrections) ↗Original mark scheme (before corrections) ↗
Questions in this paper
- Question 13x^4-6x^3+kx^2-8x-12 is divisible by x-3, so it is also divisible by
- Question 2Consider the statement: x(α-x)<y(α-y) for all x,y with 0<x<y<1. The statement is true
- Question 3A television station telecasts three types of programs X,Y, and Z. A survey gives the following data on television viewing. Among the…
- Question 4In a football league, a particular team played 60 games in a season. None of the games was drawn. The team never lost three games…
- Question 5Every integer of the form (n^3-n)(n-2), for n=3,4,…, is
- Question 6From a group of seven persons, seven committees are formed. Any two committees have exactly one member in common. Each person is in exactly…
- Question 7Given any five points in the square I^2=\(x,y):0≤ x≤ 1, 0≤ y≤ 1\, only one of the following statements is true. Which one is it?
- Question 8Let A_1,A_2,A_3 be three points on a straight line. Let B_1,B_2,B_3,B_4,B_5 be five points on a straight line parallel to the first one…
- Question 9Let y=log_a x and a>1. Then only one of the following statements is false. Which one is it?
- Question 10If x is a real number and y=frac12(e^x-e^(-x)), then
- Question 11If the roots of (1)/(x+a)+(1)/(x+b)=frac1c are equal in magnitude but opposite in sign, then the product of the roots is
- Question 12How many positive real roots does this equation have? x^4-2√2x^3+2x^2-4x=0.
- Question 13What is the digit in the unit position of the integer 1!+2!+3!+…+99!
- Question 14Let \a_k\ be a sequence of integers such that a_1=1 and a_(m+n)=a_m+a_n+mn, for all positive integers m and n. Then a_(12) is
- Question 15If l^2+m^2+n^2=1 and p^2+q^2+r^2=1, then the range of values lp+mq+nr can take is
- Question 16Withdrawn
- Question 17Withdrawn
- Question 18Mr. 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 19The set of all real numbers x for which log_(2004)(log_(2003)(log_(2002)(log_(2001)x))) is defined is \x| x>c\. What is the value of c?
- Question 20A base-10 three-digit number n is selected at random. Which of the following is closest to the probability that the base-9 representation…