Solution home GMAT quant queries

DS-Modern Math/Stats

DS Questions from Modern Math/Stats

Last year, in a certain housing development, the average (arithmetic mean) price of 20 new houses was $160,000. Did more than 9 of the 20 houses have prices that were less than the average price last year? (1) Last year the greatest price
Concept: The question tests on the basics of Median and Mean.  Solution: St (1)  Though we totally agree that the phrasing of the statement is rather unc...
Wed, 13 Oct, 2021 at 11:15 AM
A certain list, L, contains a total of n numbers, not necessarily distinct, that are arranged in increasing order. If L1 is the list consisting of the first n1 numbers in L and L2 is the list consisting of the last n2 numbers in L, is 17 a
Concept: The question tests the analytical reasoning associated with Mode as a measure of Central Tendency. Solution: Mode - is the number that occurs mos...
Wed, 13 Oct, 2021 at 11:15 AM
What is the ratio of the average (arithmetic mean) height of students in class X to the average height of students in class Y? (1) The average height of the students in class X is 120 centimetres. (2) The average height of the students in
Concept: The question tests on the reasoning associated with Mean as a measure of Central Tendency. Solution: Average height of the students in class X(X)...
Wed, 13 Oct, 2021 at 11:16 AM
Tom, Jane, and Sue each purchased a new house. The average (arithmetic mean) price of the three houses was $120,000. What was the median price of the three houses? (1) The price of Tom’s house was $110,000. (2) The price of Jane’s house wa
Concept: The question tests on the reasoning associated with Mean and Median as measures of Central Tendency. Solution: With 3 prices, the median would be...
Wed, 13 Oct, 2021 at 11:16 AM
The range of the numbers in set S is x, and the range of the numbers in set T is y. If all of the numbers in set T are also in set S, is x greater than y? (1) Set S consists of 7 numbers. (2) Set T consists of 6 numbers.
Concept: The question tests on the reasoning associated with Range of a set of inputs. Solution: St(1)-   S has 7 numbers but we have no information of T ...
Wed, 13 Oct, 2021 at 11:16 AM
A train 200 m long is running with a speed of 75 km/h. In what
Concept: The question tests on the basics of Relative Speed(Rates) Solution: When 2 objects are in motion simultaneously, we use relative speed. When obj...
Wed, 13 Oct, 2021 at 11:16 AM
The number of ways in which 8 distinguishable apples
Concept: The question tests on the application of Combinatorics in a DS format Solution: These apple are distinguishable, i.e. distinct The number of way...
Wed, 13 Oct, 2021 at 11:16 AM
Number of 4 digit numbers of the form N = abcd
Concept: The question tests on the basics of Counting/Combinations Solution: From (i) a can be either 4 or 5. So it can be filled in 2 ways. From (ii) d ...
Wed, 13 Oct, 2021 at 11:16 AM
An n-sided dice, having numbers from 1 to n
Concept: The question tests on the basics of Counting Solution: Choose the number that has to come twice. This can be done in nC1 = n ways. Next choose t...
Wed, 13 Oct, 2021 at 11:16 AM
Ben combines x liters of milk that contains 10% water W, by weight
Concept: The question tests on Mixtures and Alligation Solution: It can be seen clearly that this is a problem on mixtures. Whenever you come across a que...
Wed, 13 Oct, 2021 at 11:17 AM
Help Desk Software by Freshdesk