GMAT QUANTITATIVE REASONING PRACTICE QUESTIONS - POLISH YOUR MATH SKILLS
The Quantitative section of the Graduate Management Admission Test® measures the candidates’ ability to solve quantitative problems, interpret graphic data and the ability to reason quantitatively.
Are you prepared for the GMAT Quantitative section? Try some practice questions prepared by Jamboree's faculty below!
Ques 1:
In the figure above, AB and CD are diameters of the circle with centre as O. AEB is an arc of the circle with centre as D and AFB is an arc of the circle with centre as C. If AB = 20cm, what is the area of the shaded region?
50
100
150
200
200
Answer:
Considering the figure as under:
If we connect the diameter AB with the point D, it will create right angled triangle ADB with right angled at D {using the property, if we connect the points on the circumference with the diameter it will always create right angled triangle} Now, first we will find the area of the sector AEBD and then from the sector AEBD we will subtract the area of triangle ABD which will give us the area of the segment AEBO.
Since, OB = OD {radius of the circle}
Thus, using Pythagoras theorem in the right angle triangle ?OBD,
BD2 = OB2 + OD2
OR, BD2 = 102 + 102
OR, BD = 10√2
Since, AEB is the arc of the circle with centre at D, thus BD will be the radius of this arc.
Hence, Area of sector AEBD = πr2θ/360
= π(10√2)290/360 = 50π
Now, Area of the triangle ABD = 1/2 × AB × OD
= 12 × 20 × 10 = 100
Thus, area of the segment AEBO = Area of sector AEBD – Area of triangle ABD
=50π - 100
Similarly, we can find the area of segment AFBO which will also be,
= 50π - 100
Thus, total area of the segment AEBF = Area of segment AEBO + Area of segment AFBO
= 50π - 100 + 50π - 100
= 100π - 200
Hence, the Area of the shaded region = Area of the complete circle – Area of the segment AEBF
Thus, Area of shaded region will be,
= π102 - (100π - 200) = π100 - π100 + 200 = 200
Ques 2.
S is a set of n integers, where 0 < n < 11. If the arithmetic mean of set S is a positive integer b, which of the following could NOT be the median of set S?
0
b
(-b)
n/5
5n/11
Answer:
S is a set of n integers, where 0 < n < 11.
Arithmetic mean of Set S is a positive integer ‘b’.
We have to find which of the following could not be the median of Set S.
Now, We know that if the number of terms are odd, then there will be only one middle term and that will be the median, which will be an Integer value.
(A) And, if the number of terms are even, then there will be two middle terms, and the median will be the average of those two middle terms, in the form of a+b2, where a & b will be those two middle terms.
(F) So, the median can be either an integer or can be in the form of I2, where I will be an integer.
So, option (A), (B) & (C) can be the median because all three are integers.
(A) Option (D), (n/5) can also be the median because 0 < n < 11, so as n can be a multiple of 5, so n/5 can be an integer, hence it can be the median.
But, option (E), 5n11 cannot be either an integer or in the form of I/2, as n is not a multiple of 11. Hence, this cannot be the median.
The correct answer is E.
Ques 3.
In a sequence, an + 2 = an + 1 – an + (n + 2) for all n ? 1, where an + 2 represents the (n + 2)th term. If the second and fourth terms of the
sequence are 2 and 5 respectively then what is the value of the 6th term of the sequence?.
5
7
8
9
None of these
Ans
For n≥1,
an+2 = an+1 - an + n+2 ……Equation(1)
Putting value of n = 2 in the above equation, we get:
a4 = a3 - a2 + 2 + 2
In the question, it’s also mentioned that a2 = 2 , a4 = 5. Putting in the above equation, we get the value of a3 = 3
Now by putting value of n = 3 in equation(1), we get:
a5 = a4 - a3 + 3 + 2
a5 = 5 - 3 + 3 + 2
a5 = 7
Now by putting value of n = 4 in equation(1), we get:
I like to thank Jamboree Nepal for providing me with excellent teaching and testing resources, which helped me perform well on my GRE examination. I found the teaching environment to be extremely conducive and the teaching staff to be highly experienced. I also have a very high regard for the Jamboree Online resources, where one can easily access large volume of possible questionnaires with varying levels of difficulty.
I like to thank Jamboree Nepal for all their help and support, and wish them all the best for their future endeavors.
Stuti Jain
I am pleased with the kind of faculty and the course material Jamboree provides.The classroom program structure for GMAT is a very detailed program providing a clear in depth understanding of the basic concepts. The Faculty at adhchini has a clear understanding of the basics as well as the traps and tricks used for cracking very difficult questions. Also, they are passionate about their teaching and very helpful regarding the doubt sessions conducted at the center.
The online live webinars and course material provided by the center is exhaustive and good enough to crack difficult questions from other sources too.
Aditya Prashar
Learning at Jamboree Chandigarh was a pleasant experience. Organisation is fully equipped to handle GMAT classes. Both faculties are good.
Benazeer Shaikh
Just One Word Excellent training and Services , It is the Best Institute and only one stop solution for students aiming to pursue higher degree abroad/ SOP/ Essay writing. Overall an overwhelming experience and co-operation by my by counsellor Ms. Shagun Kansal is truly commendable.. Thankyou a lot for the assistance and full guidance..
Rohiniesh Neti
Of course, it's gonna be a fiver.
Jamboree is the reason I got the 97th percentile in my SAT exam and is far better than all other coaching centres(at least, according to me, and lots of other people too!).
Their teaching itself is quite good, but the discerning part about Jamboree, the reason it's such an amazing place, is the post-class support.
They have a library filled with numerous reference books from Princeton Review to Barron's. You will obviously not find a Barron's book in a Princeton Review. They also give complimentary IELTS or TOEFL classes based on your preference, with all post-class support for them too.
They also have a whopping 15 practice tests, not including the ones from the library(almost around 30 - 33 with the practice test books in the library) which will prepare you for your SAT well.
You can also repeat any class in case you want to revise, or if you missed it. All these privileges are given to you for an entire year, making it very possible to prepare even better if you're taking the SAT more than once too.
Overall, this is an amazing place to go for your SAT preparation. You will get an amazing score if you go to Jamboree and complete the course, and listen to your teachers' advice.