List of top Quantitative Ability and Data Interpretation Questions on Number System asked in IPMAT

The set of all values of x satisfying the inequality \( \log_{(x+\frac{1}{2})} \left[ \log_2 \left( \frac{x-1}{x+2} \right) \right]>0 \) is
Let A and B be two finite sets such that n(A - B), n(A \(\cap\) B), n(B - A) are in an arithmetic progression. Here n(X) denotes the number of elements in a finite set X. If n(A \(\cup\) B) = 18, then n(A) + n(B) is ________
Anindita invests a total of 1 lakh rupees distributed across three schemes A, B and C for a period of two years. These schemes offer an interest rate of 10%, 8% and 12% per annum, respectively, each compounded annually. If the initial investment amount in scheme A is 30000 rupees and the total interest earned from all the three schemes during the first year is 10600 rupees, then the total interest earned, in rupees, from all the three schemes for the second year is ________
Two swimmers, Ankit and Bipul, start swimming from the opposite ends of a swimming pool at the same time. Ankit can cover the length of the pool once in 10 minutes. Bipul can cover the length of the pool once in 15 minutes. They swim back and forth for 80 minutes without stopping. The number of times they meet each other is ________
The remainder when \( 11^{1011} + 1011^{11} \) is divided by 9 is
Arpita and Nikita, working together, can complete an assigned job in 12 days. If Arpita works initially to complete 40% of the job, and the remaining job is completed by Nikita alone, then it takes 24 days to complete the job. The possible number of days that Nikita requires to complete the entire job, working alone, is ________
If a, b, c are three distinct natural numbers, all less than 100, such that \( |a - b| + |b - c| = |c - a| \), then the maximum possible value of b is ________
The number of factors of \( 3^5 \times 5^8 \times 7^2 \) that are perfect squares is ________
If m and n are two positive integers such that \( 7m + 11n = 200 \), then the minimum possible value of m + n is ________