AMCAT Quantitative Questions | AMCAT Preparation

AMCAT Details on board with another set of questions on Quantitative section in AMCAT exam. These questions are very important. So, go through all of them, understand the concepts behind them and learn them well. This will definitely help you score well in AMCAT Exam.

We did a poll on which section do students find most difficult in AMCAT exam. Most of the students answered Quantitative Section.

Question: The product of two numbers is 2028 and H.C.F. of those numbers is 13. The number of such pairs exists:

(a) 4

(b) 3

(c) 2

(d) 1

Answer: (c)

Question: Navneet spent 35,645 on buying a scooter, 24,355 on buying a laptop, and the remaining 20% of the total amount he had as cash with him. What was the total amount ?

(a) 75,000

(b) 80,000

(c) 85,000

(d) 70,000

Answer: (a)

Question: Working 8 hrs a day 20 Men can do a job in 10 days. If women are 33.33% more efficient than men. How many women will it take to finish the same job in 10 days working 6 hrs a day.

(a) 25

(b) 20

(c) 15

(d) 10

Answer: (b)

Question: Animesh bought oranges at the rate of 8 for Rs.34 and sold them at the rate of 12 for Rs.57. How many oranges should Animesh sell to have a net gain of Rs.45 ?

(a) 80

(b) 40

(c) 90

(d) 45

Answer: (c)

Question: When 72X23Y is divisible by 72, then the value of X and Y is:

(a) 0,2

(b) 7,2

(c) 5,7

(d) 5,5

Answer: (b)

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AMCAT Percentage Questions | AMCAT Quantitative Questions

AMCAT DETAILS brings you very important questions on the topic of Percentage from the Quantitative section of AMCAT test. Percentage is very easy and very important topic for the preparation of AMCAT exam. So go through these important questions and get benefit.

ALL THE BEST!!

Question: Which of the following multiplier will cause a number to be increased by 29.7%?

(a) 1297
(b) 12.97
(c) 129.7
(d) 1.297

Answer: (d)

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AMCAT Profit and Loss Questions | AMCAT Quantitative Questions

AMCAT DETAILS compiled some important questions from the topic of Profit and Loss in Quantitative Section in AMCAT exam. These are important questions and will surely help you all a lot.

ALL THE BEST!!!

Question: An article was sold for Rs. 2770. Had it been sold for Rs. 3000 there would have been an additional gain of 10%. Cost Price of the article is:

(a) 2300
(b) 2400
(c) 2100
(d) None of the above

Answer: (a)

Question: Rakesh buys a scooter worth Rs. 10,000. He sells it to Mohan at a profit of 10%. If after sometime Mohan sells it back to Rakesh at a loss of 10%, then totally:

(a) Rakesh  has gain of 110 rs.
(b) Rakesh has loss of 1110 rs.
(c) Rakesh has gain of 1100 rs.
(d) Rakesh has loss of 1100 rs.

Answer: (c)

Question: The list price of an electric iron is Rs. 300. If two successive discounts of 15% and 10% are allowed, its selling price will be:

(a) 231.5
(b) 229.5
(c) 230.5
(d) 235.5

Answer: (b)

Question: Piyush bought 30 kg of rice at the rate of Rs. 8.50 per kg and 20 kg of rice at the rate of Rs. 9.00 per kg. He mixed the two. At what price (App.) per kg should he sell the mixture in order to get 20% profit?

(a) 10.5
(b) 8.5
(c) 11.5
(d) 10

Answer: (a)

Question: A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is

(a) 180
(b) 225
(c) 150
(d) 125

Answer: (c)

Question: A man bought a number of clips at 3 for a rupee and an equal number at 2 for a rupee. At what price per dozen should he sell them to make a profit of 20% ?

(a) 12
(b) 6
(c) 5
(d) 10

Answer: (b)

Question: If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is:

(a) 100
(b) 200
(c) 300
(d) 400

Answer: (b)

Question: (x % of 932) + 30 = 309.6

(a) 30
(b) 35
(c) 25
(c) 20

Answer: (a)

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AMCAT Number System Questions for AMCAT | Quantitative Ability Questions for AMCAT

AMCAT DETAILS presents you the compilation of important questions from the topic of Number System for Quantitative Ability Section in AMCAT exam. Read, learn and practice these questions. This will surely help you achieve better score in AMCAT exam.

ALL THE BEST!

Question: What is the highest power of 5 that divides 90 x 80 x 70 x 60 x 50 x 40 x 30 x 20 x 10?

(a) 10
(b) 20
(c)   9
(d) 11

Answer: (a)

Question: Find the largest number, smaller than the smallest four-digit number, which when divided by 4,5,6 and 7 leaves a remainder 2 in each case.

(a) 844
(b) 420
(c) 842
(d) 422

Answer(c)

Question: If a and b are natural numbers and a-b is divisible by 3, then a3-b3 is divisible by:

(a)   9
(b) 27
(c) 3 but not by 9
(d) 27

Answer: (a)

Question: What is the greatest positive power of 5 that divides 30! exactly?

(a) 6
(b) 7
(c) 8
(d) 9

Answer: (b)

Question: In how many ways can a number 6084 be written as a product of two different factors ?

(a) 14
(b) 13
(c) 10
(d) 12

Answer: (b)

Question: P is an integer. P>883. If P-7 is a multiple of 11, then the largest number that will always divide (P+4) (P+15) is

(a) 242
(b) 121
(c)   11
(d) 411

Answer: (a)

Question: It is given that the product of two numbers is 16200. If their LCM is 216, find their HCF.

(a) 45
(b) 55
(c) 65
(d) 75

Answer: (d)

Question: There are four prime numbers written in ascending order of magnitude. The product of first three is 385 and that of last three is 1001. Find the first number.

(a) 17
(b) 11
(c)   7
(d)   5

Answer: (d)

Question: It is given that the ratio of two numbers is 3:4 and their HCF is 4.Their LCM is

(a) 48
(b) 44
(c) 12
(d)  6

Answer: (a)

Question: The least perfect square which is divisible by 3, 4, 5, 6, 8 is

(a) 3600
(b)   400
(c)   120
(d) 1200

Answer: (a)

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AMCAT Quant Questions 2 | Quantitative Ability Questions and Answers

AMCAT DETAILS comes again with another compilation of important questions for Quantitative section in AMCAT exam. Therefore, go through, prepare and practice well so that you can get an outstanding score in AMCAT EXAM.

ALL THE BEST!

Question: When 21 Women and 12 men can finish the work in 42 days.How many men should accompany 42 women to that the work will be completed in ten and half days???

Option (a) 40
Option (b) 45
Option (c) 50
Option (d) 60
Option (e) 15

Answer: (e)

Question: Anna sells one house for Rs 75 lakhs, making profits of 25%. He sells another house at a loss of 20%, and on the whole he makes neither profit nor loss. What is the cost of the second house?

Option (a) 50 lakhs
Option (b) 60 lakhs
Option (c) 75 lakhs
Option (d) 90 lakhs

Answer: (c)

Question: In an election between two candidate 10% of votes were invalid winner got 70% of valid votes and was elected by a majority of 900 votes. find the total number of votes?

Option (a): 2500
Option (b): 1800
Option (c): 2250
Option (d): 2300
Option (e): None of these

Answer: (a)

Detailed Solution: Let total number of votes be x => The number of valid votes is: x*90%A/Q,Winning candidate is getting 70 % of valid votes  then he is getting : x*90%*70% votesand the other candidate is getting 30 % of valid votes : x*90%*30% votes
Now
we know that the difference between winner and loser is 900 votes 
Therefore,
=>(x*90%*70%) - (x*90%*30%)=900
=>x=2500.

Therefore the answer is a.

Question: Arvind gets Rs.33 when a sum of money was distributed among Arvind, Bivas and Chameli in the ratio 3:2:5 What will be the sum of money?

Option (a) 120

Option (b) 110

Option (c) 220

Option (d) 210

Answer: (b)

Detailed Explanation: 

Let Amount distributed among Arvind, Bivas and Chameli be 3x, 2x and 5x

=> 3x=33;=> x=11;Therefore ,

The total Amount = 3x + 2x + 5x= 10x =110 (since x=11)

Hence the answer is b.

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AMCAT Quant Questions | Quantitative Ability Questions | AMCAT Preparation

This post at AMCAT DETAILS is the compilation of questions on AMCAT exam's Quantitative Ability sections. So prepare these questions well and score well.

Question: A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:

Option (a) Rs. 120

Optiion (b) Rs. 121

Option (c) Rs. 122

Option (d) Rs. 123

Answer: (a)

Question: In what ratio must a person mix three kinds of wheat costing him Rs 1.20,Rs 1.44 and Rs 1.74 per Kg so that the mixture may be worth Rs 1.41 per Kg?

Option (a) 11:77:7

Option (b) 25:45:8

Option (c) 27:23:6

Option (d) 11:45:7

Answer: (a)

Question: The price of petrol is increased by 10%. By how much percent the consumption be reduced so that the expenditure remains the same?

Option (a) 9%

Option (b) 10%

Option (c) 11%

Option (d) 12%

Question: By selling 45 lemons for Rs. 40, a man loses 20%. How many should he sell for Rs. 24 to gain 20% in the transaction?

Option (a) 19 

Option (b) 18

Option (c) 24 

Option (d) 22

Answer: (b)

Detailed Explanation: 

The Selling Price of 45 lemons is Rs.40
And loss = 20%
Therefore, Cost Price of 45 lemons would be 40*100/80= Rs. 50
To make profit of 20% he should sell these 45 lemons for 50*20/100=Rs. 60
Now If he sells for Rs. 60 = 45 lemons
So for Rs. 24 he would sell = (24/60)*45 = 18 lemons.

Therefore the answer is b.

Question: At a momentm father told his son,"I was as old as you are at present at the time of your birth"If the fathers age is 38 years now,then the age of son 5 years back was?

Option (a) 14 years

Option (b) 19 years

Option (c) 33 years

Option (d) 38 years

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AMCAT Important Quantitative Questions with Detailed Explanation | AMCAT Preparation

AMCAT DETAILS comes again with another compilation of Quantitative questions with detailed explanation which will be beneficial for students in terms of their preparation for AMCAT.

Question: The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:

a) 380

b) 395

c) 400

d) 425

Answer: (c)

Detailed Explanation: 

Let the larger number be x
and let the smaller number be y 
According to question
x*y=9375          -------1
x/y=15               -------2

Multiplying equation 1 and equation 2 we get,
x^2=140625
=> x=375
Now, just put the value of x in equation 2
then we get y= 25
Since sum of number must be x+y
375+25= 400

Therefore the answer is : (c)

Question: A cycled from P to Q at 10 kmph and returned at the rate of 9 kmph. B cycled both ways at 12 kmph. In the whole journey B took 10 minutes less than A. Find the distance between P and Q.

a) 3.75

b) 32.5

c) 37.5

d) 3.25

Answer: (a)

Detailed Solution: 

We know that Time = Distance/Speed

Let Time taken by A is Ta and time taken by B is Tb.

Let D be the Distance.

Then,
Ta = (D/10 + D/9) = (19D/90) hrs
Tb = (D/12 + D/12) = (D/6) hrs

Tb = (Ta - 10 minutes)
     = (Ta - (1/6)hours)

=> D/6 = (19D/90) - (1/6)
=> 1/6 = (19D-15D)/90 
=> 15 = 4D
=> D = 3.75 km

Therefore, the answer is a.

Question: If QUESTION =DOMESTIC what will b code for RESPONSE ????

(a) OMESUCEM

(b) OMESICSM

(c) OMESICEM

(d) OMESISCM

Answer: (c)

Detailed Explanation:

We can solve this question  by comparing each characters in the given question.

Since QUESTION=DOMESTIC

USE E=M,S=E,O=I,N=C,S=E.
USE IT BY SUBSTITUTING AND MATCH FROM OPTION GIVEN

That is:

R=O
E=M
S=E
P=S
O=I
N=C
S=E
E=M

Therefore the answer is c.

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AMCAT Important Logarithms Questions | AMCAT Quantitative Important Questions | AMCAT Details

AMCAT DETAILS brings you the questions on the tOptionic of Logarithms from Quantitative Section of AMCAT exam. Prepare well and Get Placed.

Question: If logx (0.1) =  -1/3, then the value of x is -

(1): 10

(2): 100

(3): 1000

(4): 1/1000

(5): None of these

Answer :- (3)

Question: If  ax =  by, then :-

(1): log(a/b) = x/y

(2): log(a) / log(b) = x/y

(3): log(a) / log(b) = y/x

(4): None of these

(5): None of these

Answer : (3)

Question: If log8 x + log8 (1/6) = 1/3 then, the value of x will be: 
(1): 12

(2): 16

(3): 18

(4): 24

(5): None of these

Answer: (1)

  

Question:  If log x + log y = log (x + y), then which statement follows:

(1): x = y

(2): xy=1

(3): y = (x-1)/x

(4): y = x/(x-1)

(5): None of these

Answer: (4)

Question:  If log10 7 = a, then log10(1/70) will be equal to:

(1): -(1 + a)

(2): (1 + a)-1

(3): a/10

(4): 1/10a

(5): None of these

Answer: (1)

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Question:  If log{(a+b)/3} = 0.5(log a + log b), then the correct relation between a and b will be: 
(1): a2+b2 = 7ab

(2): a2-b2 = 7ab 

(3): (a+b)2 = 2 

(4): (a+b)/3 = (1/2)(a+b)

(5): None of these 

Answer: (1)

Question:  If log x = log 3 + 2 log 2- (3/4) log 16. The value of x will be:

(1): 1/2

(2): 1

(3): 3/2

(4): 2

(5): None of these 

Answer: (3)

Question:  If log x =(1/2) log y = (1/5) log z, the value of x4y3z-2 will be: 
(1): 0

(2): 1

(3): 2

(4): 3

(5): None of these

 Answer: (2)

Question:  If log10000 x = -1/4, then the value of x is:

(1): 1/100

(2): 1/10

(3): 1/20

(4): none of these

Answer: (2)

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Question:  The value of 3-1/2 log3(9) will be:

(1): 3

(2): 1/3

(3): 2/3

(4): none of these

Answer: (2

Question:  loge xy - loge |x| is equal to:

(1): loge x

(2): loge |x|

(3): - loge x

(4): none of these

Answer: (4)

Question:  The value of (loga n) / (logab n) is equal to: 

(1): 1 + loga b

(2): 1 + logb a 

(3): loga b 

(4): logb a 

(5): None of these

Answer: (1

  

Question:  If (a4 - 2a2b2 + b4)x-1 = (a-b)2x (a+b)-2, then the value of x will be : 

(1): (a - b) / (a + b)

(2): log (a2 - b2) 

(3): log (a + b) / log (a - b) 

(4): log (a - b) / log (a + b) 

(5): None of these

Answer: (4

Question:  If a, b, and c are in geometric progression then loga n, logb n and logc n will be in: 
(1): AP

(2): GP

(3): HP

(4): None of these Option 

Answer: (3

Question:  What will be the value of antilog10100?

(1): 2

(2): 10100

(3): 100

(4): 10

(5): None of these

Answer: (2

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Question:  If antilog x 5 = 30, then what can you tell about x?

(1): x is a number between 1 and 2

(2): x is 305

(3): x is a number between 2 and 3

(4): None of these

Answer: (1

Question:  If x is increased by a given constant number every time, y doubles and z becomes three times. How will log(y) and log(z) behave as x is increased by the same constant number?

(1): Both will grow linearly with different slope 

(2): Both will grow linearly with same slopes 

(3): y will grow linearly, while z will not grow

(4): z will grow linearly, while y will not grow

(5): None of these

Answer: (1)

Question: If x triples every second. How will log2x change every second?

(1): It will double every second

(2): It will triple every second

(3): It increases by a constant amount every second.

(4): None of these

(5): None of these

Answer: (3) 

Question:  When f(x) grows exponentially with x, how does f(log(x)) grow?

(1): grow Exponentially

(2): grow Linearly

(3): grow Quadratically

(4): None of these

Answer: (2)

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Question:  What will be the value of log512 8?

Option 1: 3

Option 2: 1/3

Option 3: -3

Option 4: -1/3

Option 5: None of these

Answer: (2

Question:  What will be the value of log7 (1/49)?

Option 1: 2

Option 2: 1/2

Option 3: -1/2

Option 4: -2

Option 5: None of these

Answer: (4

  

Question:  It is given that log64 x = 2/6, then ,  the value of x will be?
Option 1: 2

Option 2: 4

Option 3: 6

Option 4: 8

Option 5: None of these

Answer: (2

Question:  If 7x = 85, the the value of x will be?

Option 1: log785

Option 2: log857

Option 3: log107

Option 4: log1085

Option 5: None of these

Answer: (1

Question:  When log102 = 0.3010, then the number of digits in 264 will be:

Option 1: 19

Option 2: 20

Option 3: 18

Option 4: None of these 

Answer: (2

Question:  What is the value of log110?

Option 1: 1

Option 2: 10

Option 3: 0

Option 4: it tends to infinity

Option 5: None of these

Answer: (4

Question:  What will be the value of log100 ?

Option 1: 0

Option 2: 10

Option 3: 1

Option 4: Not defined

Option 5: None of these

Answer: (4

Question:  The value of log3 (-9)? 

Option 1: 3

Option 2: 1/3

Option 3: -3

Option 4: Not defined 

Answer: (4

Question:  Sameer multiplies a number by 10, the log (to base 10) of this number will change in what way?

Option 1: Increase by 10

Option 2: Increase by 1

Option 3: Multiplied by 10

Option 4: None of these

Option 5: None of these

Answer: (2

Question:  Logarithm of a very small positive number tends to:
Option 1: 0
Option 2: negative infinity

Option 3: positive infinity 
Option 4: 1

Option 5: None of these

Answer: (2

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Question:  If there are n numbers and they are in geometric progression, then the logarithm of the number will be in which of the following?

Option 1: Geometric Progression

Option 2: Arithmetic Progression

Option 3: Harmonic Progression 

Option 4: None of these

Answer: (2

Question:  Which of the following expression is same as log(a + b) ? 

Option 1: log a + log b

Option 2: log a * log b 

Option 3: log a - log b 

Option 4: None of these 

Answer: (4

Question:  What will be the value of log3 (1/9) + log 9 81 ? 
Option 1: 2

Option 2: -2

Option 3: 0

Option 4: 4

Option 5: None of these

Answer: (3

  

Question:  What will be the value of log3 1.5 + log3 6 ? 
Option 1: 2

Option 2: 2.7

Option 3: 1.8

Option 4: None of these 

Answer: (1

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Question:  log8 x is equal to?

Option 1: log2 (x/3)

Option 2: log2 (3x)

Option 3: (log2x)/ 3

Option 4: None of these

Option 5: None of these

Answer: (3

Question:  If there are n numbers and they are in arithmetic progression, then, the logarithm of the number will be in which of the following?

Option 1: Exponentially

Option 2: Linearly

Option 3: Quadratically 

Option 4: None of these 

Option 5: None of these

Answer: (4

Question:  What will be the value of log20 1 ?

Option 1: 0

Option 2: 1

Option 3: 20

Option 4: None of these

Option 5: None of these

Answer: (1

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