A medium difficulty GRE Quant Sample Question in Probability. Ms Li works at an office where the work timing is from 9:00 AM to 6:00 PM. 25% of a year she goes late to office and 35% of a year she leaves early from office. If P is the probability that she works at office the entire day then (a) 0.25 ≤ P ≤ 0.35(b) 0.25 ≤ P ≤ 0.65(c) 0.4 ≤ P ≤ 0.65(d) 0.35 ≤ P ≤ 0.4(e) 0.35 ≤ … [Read more...] about GRE Quant |Probability Maximum & Minimum

# GRE Arithmetic Theory & Practice Questions

## Numerical entry – Number Properties

If a + b=ab and a, b are natural numbers then how many pairs of (a, b) are there? Answer: 1 pair – (2, 2) Explanation a + b = ab ab – a – b = 0 ab – a – b + 1 = 1 (a – 1)(b – 1) = 1 Now, for this to be true, given that a and b are natural numbers a – 1 = b – 1 = 1. i.e., 1 x 1 = 1 Therefore, a = 2 and b = 2. … [Read more...] about Numerical entry – Number Properties

## Numeric Entry – Probability, Number Properties

A four-digit number is to be formed with the digits {0, 1, 2, 3, 4, 5} without repetition. What is the probability that this number will leave a remainder 2 when divided by 9? Answer: 0.14 Explanation Required probability = (number of four digit numbers that leave a remainder 2 when divided by 9) / (total number of four digit numbers that can be formed) If a … [Read more...] about Numeric Entry – Probability, Number Properties

## Sequences Series – nth term

Find the 50th term of the following series: 1 + 3 + 7 + 13 + 21 + ............ Answer: 2451 Explanation t2 – t1= 2 (2*1) t3 – t2= 4 (2*2) t4 – t3 = 6 (2*3) ……………………….. ………………………… ……………………….. t50 – t49= 98 (2*49) Adding all the equations, we get t50 – t1= 2 + 4 + 6 + ………. + 98 t50 – t1= 2450 t50 – 1 = 2450 Therefore, t50 = 2451 … [Read more...] about Sequences Series – nth term

## More than one answer – Number Properties

Let S be the set of all positive integers n such that n^2 is a multiple of both 24 and 108. Which of the following integers are divisors of every integer n in S? Indicate ALL such integers. a) 12 b) 24 c) 36 d) 72 Solution: A, C Explanation It is given that n2 is a multiple of both 24 and 108. So the least such n2 will be nothing but the LCM of 24 and … [Read more...] about More than one answer – Number Properties