Questions tagged [gmat-exam]

The Graduate Management Admission Test is a computer adaptive test (CAT) which assesses a person's analytical, writing, quantitative, verbal, and reading skills in standard written English in preparation for being admitted into a graduate management program

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-1
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1answer
32 views

Need help with a GMAT applied arithmetic question - please explain

I just don't understand the following question nor the answer. Can someone help me make sense as to what it's actually asking? Many thanks in advance. GMAT Princeton Review 2019 Edition Drill 8 (...
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1answer
26 views

Sum of sides in a Cuboid

So, I came across this question: What is the value of surface area of the cuboid $C$ ? (1) The length of the diagonal of $C$ is $5$ (2) The sum of the sides of $C$ is $10$ Now, if we take the ...
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2answers
55 views

how to find the coefficient of (r+1) term in the expansion of $\left(1-6x\right)^{-\frac{1}{2}}$?

Here is the answer of the math.. $\left(1-6x\right)^{-\frac{1}{2}}$ $=\frac{\left(-\frac{1}{2}\right)\left(-\frac{1}{2}-1\right)....\left(-\frac{1}{2}-r+1_{ }\right)}{r!}\left(-6x\right)^r$ $=\frac{...
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1answer
725 views

Question based on finding the area of canvas

The slant height of a conical tent made of canvas is $14/3 m$. The radius of the tent is 2.5 m. The width of the canvas is 1.25m. If the rate of canvas per metre is Rs. 33 what is the total cost of ...
3
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2answers
1k views

What is the area of canvas required to make a conical surface tent with height $35~\text{m}$ and radius of base $84~\text{m}$?

A conical circus tent is to be made of canvas. The height of the tent is $35~\text{m}$ and the radius of the base is $84~\text{m}$. What is the area of canvas required? I calculated slant height ...
0
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1answer
208 views

Question based on finding slant height of pyramid

If 'h' be the height of a pyramid standing on a base which is an equilateral triangle of side 'a' units, then what is the slant height? What I did:- We know in equilateral triangle height= $\sqrt3/2*...
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3answers
90 views

Question based on area and perimeter of a wall

A room is 16m long, 7m broad and 8m high. Find the cost of white washing the four walls of room at Rs. 7.5 per m^2, white washing is not to be done on the doors and windows, which occupies 65 m^2. In ...
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2answers
624 views

Work Efficiency Problem

Pascal and Rascal are two workers, working together so they can complete a given task in $10$ hours. If Pascal works for $2.5$ hours and Rascal works for $8.5$ hours, then half of the work will be ...
0
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2answers
85 views

Question based on time and work(doubt in the approach given in solution)

Two persons having different productivity of labour working together can reap a field in 2 days. If one-third of the field was reaped by the first man and the rest by the other one working ...
0
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2answers
36 views

Question based on time and work(doubt in the approach)

Eklavya can do 6 times the actual work in 36 days while Faizal can do one-fourth of the original work in 3 days. In how many days will both working together complete the 3 times of original work? ...
0
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3answers
33 views

Question based on time and work(doubt in approach)

If 20 engineers and 20 workers can together construct a 20 km road in 20 days. 40 engineers and 40 workers together construct a 40 km road in how many days? Total work done in 20 days= 20*20=400 ...
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1answer
178 views

Question based 0n profit loss and discount

Due to reduction of 25% in price of oranges a customer can purchase 4 oranges more for Rs. 16. What is the original price of an orange? What is given in the solution. Reduction in price=$1/4$ ...
0
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1answer
30 views

Question based on profit and loss(doubt)

A person sold an electronic watch at Rs. 96 in such a way that his percentage profit is same as the cost price of the watch. If he sells it at twice the percentage profit of its previous percentage ...
0
votes
1answer
171 views

Question based on marked price, cost price and selling price

The ratio of cost price and marked price is 2:3 and ratio of percentage profit and percentage discount is 3:2. What is the discount percentage What I Did:- Let cost price= 200 and Marked price= 300 ...
0
votes
1answer
130 views

Question based on profit and loss(doubt in my approach)

Tinkawala purchased the articles for Rs. 123684. He sold 60% of those at a profit of 16.66% and the rest at loss. Find the loss percentage on the remaining if the overall loss is 14%. What I did Let ...
0
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1answer
54 views

Another question based on pigeonhole principle

There is a drawer which contains 12 pairs of blue gloves, 12 pairs of grey and 12 pairs of black. What is the minimum number of gloves that should be picked to ensure that at I pick at least one pair ...
1
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1answer
54 views

Question based on pigeonhole principle

There are 126 boxes containing apples. The number of apples in each box lies between 120 and 150(inclusive). Let F(n) indicate the number of boxes containing n apples and m indicates the maximum value ...
0
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0answers
18 views

Question based on combinations(partition)

120 apples are to be distributed among 7 people such that each person has atleast 13 apples. Find the difference between the maximum and the minimum number of apples that a person gets. I don't know ...
0
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2answers
19 views

Question based on combination(distribution of some or all objects in distinct groups)

5 men went fishing and caught not more than 12 fish. In how many ways it can be done if each man may have caught any number of fish? I was thinking of partition again N=12 and r=5 so, 12+5-1C5-1=16C4 ...
2
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2answers
18 views

Question based on three dices (permutation and combination)

Three dice are rolled simultaneously. In how many different ways can the sum of the numbers appearing on the top faces of dices be 9? What I did: I know maximum value on the dice can be 6. So ...
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3answers
81 views

In how many ways can a person score a total of $130$ marks in an exam consisting of $3$ sections of $50$ marks each?

In how many ways can a person score a total of $130$ marks in an exam consisting of $3$ sections of $50$ marks each? What I did:- $$a+b+c=130$$ So applying partition rule $n=130$ and $130$ marks ...
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2answers
369 views

How many ways can a committee of $3$ members be selected from $4$ couples if no couple appears in the committee? [closed]

There are 4 married couples in a club. The number of ways of choosing a committee of 3 members so that no couple appears in the committee is? I want to know, How the number of ways of having a ...
0
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3answers
259 views

Question based on biased coins

P and Q are playing a game in which they toss a coin alternately. The probability that the coin shows a head is 0.2. The game continues until the coin shows head and the person on whose turn a head ...
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1answer
101 views

Question based on unbiased dices( probability)

In a throw of 1 unbiased dice, what is the most probable sum of the numbers that show on the upper surface of dice? I know how to find the most probable number that appears on the upper surface of ...
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0answers
60 views

Did not understand the solution of this question based on probability

Three shots are fired at a target. The odds in favour of the first hitting the target is 2:1, that of the second hitting the target is 3:1 and the odds against the third hitting the target is 2:1. ...
0
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1answer
31 views

doubt on this question based on probability

On any day, Raman is twice as likely to go to gymnasium as he is likely to go for volleyball practice. Given that Raman necessarily goes for exactly one of the two activities each day, what is the ...
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2answers
30 views

Question based on probability

A bag contains 6 white balls and 4 red balls. If 3 balls are drawn one by one with replacement, then what is the probability that 2 balls are white and 1 ball is red? My answer came out as $$\frac{...
0
votes
1answer
46 views

Question based on removal and replacement

A 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of ...
0
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2answers
795 views

Finding the sum of all four-digit numbers that can be formed using the digits $0$, $1$, $2$, $4$ without repetition

Using the digits $0$,$1$,$2$ and $4$, find the sum of all four-digit numbers that can be formed. Repetitions not allowed. total number of $4$-digit numbers that can be formed $= 3 \cdot 3 \cdot 2 \...
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4answers
98 views

Using the digits $2$, $3$, $4$, $5$ and $6$, find the sum of all $5$-digit numbers that can be formed such that no two digits are same?

Using the digits $2$, $3$, $4$, $5$ and $6$, find the sum of all $5$-digit numbers that can be formed such that no two digits are same? Why each of the number would be in any place $4!$ times and not ...
0
votes
0answers
26 views

Question based on permutation

How many four digit numbers greater than $5000$ can be formed by using the digits $4$, $5$, $6$ and $7$?( Repetition of the digits is not allowed) According to me answer should be 24 Thousand place ...
3
votes
5answers
2k views

Question based on finding the largest three digit number

Which is the largest three digit number which when divided by 6 leaves the remainder 5 and when divided by 5 leaves the remainder 3? What I did On division by 6 leaves remainder 5 So numbers are 6, ...
0
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2answers
32 views

Question based on numbers(tried solving it through maxima and minima)

The product of three positive integers is $36$. If one know the sum of the three numbers but is not able to uniquely identify the numbers, what is the sum of three numbers. If $abc=$constant then $...
0
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1answer
15 views

Question based on finding a dividend when divided by a number

A number when divided successively by $5$ and $7$ leaves remainders $2$ and $4$ respectively. When it is divided by $35$? What I did:- $N=5a+2$, $N=7b+4$ $$N=35c+d$$ Now how to calculate $a,b,c$ ...
0
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2answers
20 views

Question based on function

A function F is defined for all the positive integers that satisfy the following condition: $F(1)+F(2)+F(3)+......F(n)=n^2F(n)$. If $F(1)=2006$, then find the value of F(2005) What I did:- putting n=...
0
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1answer
203 views

Doubt in solving this inequality based on greatest integer function

Find how many positive real values of $x$ satisfy the equation $2[x]^2=5x+2$, where $[x]$ denotes greatest integer less than or equal to $x$. $x=f+I$ where $f$ is the fractional part and $I$ is the ...
0
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2answers
201 views

Question based on greatest integer function [closed]

Let {x} and [x] denote the fractional and integral parts respectively of a real number x. If $[x]^2$+4{x}=$2x$, then how many values of x are possible Let x= f+I where f is the fractional part and I ...
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1answer
27 views

Question based on logical reasoning

in the annual performance appraisal all employees were placed in three categories-average, good and excellent. To execute the appraisal plan more effectively, a software called "Appraise well" is ...
0
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2answers
30 views

Doubt in this question based on functions

$$f(x,y)=\begin{cases} x+y& x+y<1\\ 0 & x+y=1\\ xy& x+y>1\end{cases}$$ If $f(x,1/2)= 3/4$, then which of the following can be the value of x? 1) $1/4$ 2) $3/2$ 3) $3/4$ 4) Both ...
1
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2answers
41 views

Question based on functions

$3f(x+2)+4f(\frac{1}{x+2})=4x$ where $x$ is not equal to $-2$ Find $f(4)$ I substituted value of 2 in the function. I couldn't think of what else could be done
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3answers
48 views

Question based on inequality

Find the maximum possible value of a natural number 'p' such that $8p^3+50$ is divisible by $2p+5$ what is given in the solution since I couldn't solve it on my own $2p+5=0$ $p=-5/2$ $8(-5/2)^3+50=...
0
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1answer
29 views

Doubt based on finding the number of terms in binomial expansion

I have a big doubt In $(a+b+c)^{20}$ we take b+c as a single term and a as a single term and then we expand and then we find the number of terms which comes out to be $1+2......+21=21*22/2=231$ But ...
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3answers
148 views

Finding the coefficient of a term in binomial expansion [closed]

How to find the coefficient of $x^4$ in the expansion of $(1+x+x^2)^{20}$?
3
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1answer
7k views

Finding the number of terms of binomial expansion

In the expansion of $(1+x+x^2)^{20}$, find the number of terms in the binomial expansion. Let $(1+x)$ be one term and $x^2$ as the second terms $$\binom {20} {0} C x^{40}(1+x)^0+\binom {20} {1}Cx^{...
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1answer
164 views

Question based on binomial expansion

In the expansion of $(a+b+c)^{20}$, find the coefficient of $a^{17} b^2c$ $C\binom {20} {3}$ $(b+c)^3$ which gives $a^{17}[b^3+c^3+bc(b+c)]$ $a^{17}[b^3+c^3+b^2+bc^2]$ Coefficient of $a^{17}b^2c$ ...
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1answer
77 views

Finding the sum of the series [closed]

If the sum of the series $$\frac2{\sqrt2+\sqrt6}+\frac2{\sqrt4+\sqrt8}+\frac2{\sqrt6+\sqrt{10}}+\ldots+\frac2{\sqrt{60}+\sqrt{64}}=\sqrt{A}-\sqrt{B}+{C}$$ Find the value of $A+B$ Okay, this series ...
0
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2answers
65 views

Question based on series( A.P and G.P.)

Find the value of $1^2-3^2+5^2-7^2.........-199^2$ What I did:- I separated the positive terms and negative terms $(1^2+5^2+9^2....195^2)$-$(3^2+7^2+......199^2)$ $(1^2-0)+(5^2-3^2)+......(195^2-...
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3answers
47 views

Question based on finding the number of common terms in two series

Find the number of common terms in the two series S1 and S2 $S1= 1,3,6,10.......200$ terms $S2= 3,6,9,12,15......200$ terms Is there any easy approach for finding the common terms in these two ...
-1
votes
3answers
43 views

Question based on infinite geometric progression

In an infinite geometric progression each term is equal to twice the sum of all the terms that follow it. If the sum of first two terms is 12 what is the sum of entire progression? I.e., given that ...
0
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2answers
86 views

Question based on series (AP and GP)

Sum of the series $1^2-2^2+3^2-4^2+......2001^2-2002^2+2003^2$ How to solve this series? $(1^2+3^2+5^2+ \cdots +2003^2)-(2^2+4^2+6^2+ \cdots +2002^2)$ Now what to do next?