Quant by Arun Sharma

MBA CAT 2024
4986
hemant89 Says
Q3. what is the LCM of (x+3)(6x^2 + 5x+ 4) and (2x^2 + 7x+3)(x+3)?


I THINK( 6x^2 + 5x- 4)IS THE EQUATION THERE
IF IT IS SO

LCM=(2X-1)(2X+1)(X+3)^2

CORRECT IF AM WRONG.
4987

Block-2, PreAssesment Test, Qn:18
A train X departs from station A at 11:00 AM for station B which is 180 KM away.Another train departs from Station B at 11 AM for Station A.Train X travels at 70 KM/hr and does not stop anywhere until it arrives at station B.Train Y travels at an average speed of 50Km/hr, but has to stop for 10 minutes at staion C, which is 60 km away from staiotion B entoute to station A.Ignoring the lengthes of trains, what is the distance to nearest Km from station A to the point where trains cross each other?
a)110
b)112
c)116
d)None of these.

4988
Block-2, PreAssesment Test, Qn:18
A train X departs from station A at 11:00 AM for station B which is 180 KM away.Another train departs from Station B at 11 AM for Station A.Train X travels at 70 KM/hr and does not stop anywhere until it arrives at station B.Train Y travels at an average speed of 50Km/hr, but has to stop for 10 minutes at staion C, which is 60 km away from staiotion B entoute to station A.Ignoring the lengthes of trains, what is the distance to nearest Km from station A to the point where trains cross each other?
a)110
b)112
c)116
d)None of these.


see to travel 60km the train y must have taken 1.2hrs in those 1.2hrs train x covered 1.2*70=84kms and when train y stopped for 10 min train x covered 0.166*70=11.2kms ie 95.2 kms so now both move towards each other theyneed to cover 180-(95.2+60)kms to meet the time taken is 24.8/120=0.2083 hrs in that time train x covers another 14kms and they meet so distance from pt a is 95.2+14 =110kms
hope it helps


p.s welcome to pg
4989
is it 110km ?

p.s welcome to pg

Yes, but how?
4990
In a group, each boy's quota of match stick to fill into boxes is not more than 200 per session. If he reduces the number of sticks per box by 25, he can fill 3 more boxes with the total no. of stick assigned to him. Which of the following is the possible no. of stick assigned to each boy?

a) 200 b)150 c)125 d)175


x => No. of stick
Xy = (x-25)(y+3)
3x-25y = 75

x = 25(3+y) / 3

Y should be multiple of 3 so option b.

hemant89=4 ?


Take both as > 0
3x =5 (so no integral value)
solve for x-3 0
x =-1

again x =-1
x =-9
so only 2 possible integral values of x.
Please confirm OA.
4991

Can someone pls help me on this question...

How mny 3 digt nos hav d property dat their digits taken frm left
to right form an arithmetic or geometric progresion?

A.15 B. 36 C.20 D.42

4992
Can someone pls help me on this question...

How mny 3 digt nos hav d property dat their digits taken frm left
to right form an arithmetic or geometric progresion?

A.15 B. 36 C.20 D.42


for AP


123,234,345,456,567,678,789,
135,246,357,468,579,
147,258,369,

tell me d may be negative or not ???????????????????????????
4993
for AP


123,234,345,456,567,678,789,
135,246,357,468,579,
147,258,369,

tell me d may be negative or not ???????????????????????????



Yes d can be negative...
4994

can we post questions from arun sharma book?

4995
poorme Says
can we post questions from arun sharma book?


that's why this thread has been made.

GO AHEAD
4996

Q-6 LOD-1 , Time & Distance..
Plz help..

4997
Q-6 LOD-1 , Time & Distance..
Plz help..


plz post complete ques here as many of us access PG from office and we don't have book with us in office.
4998
denotes the greatest integer value just below x and {x} its fractional value . The sum of ^3 and {x}^2 is (-7.91). Find x?
  1. -2.03

  1. -1.97

  1. -2.97

  1. -1.7
4999
Q1. The greatest no. which will divide 4003,4126 and 4249:
  1. 43
  2. 41
  3. 45
  4. None of these


Q2. what is the no. of zeroes in the following:
3200*1000*40000*32000*15000000

Q3. A 2 digit no. is thrice as large as the sum of its digits, and the sq. of that sum is equal to the trebled required no.. Find the no?

Q4 if we divide a 2 digit no by the sum of its digits we get 4 as a quotient and 3 as a remainder. Now, if we divide that 2-digit no. by the product of its digits, we get3 as quotient and 5 as remainder. Find the no?

Q5 there is a natural no that becomes equal to the sq. of a natural no. when 100 is added to it and the sq of another no. when 169 is added to it. Find the no. ?

Q6 find 2 three digit no whose sum is a multiple of 504 and quotient is a multiple of 6?

Q7 find the 3 digit no. if it is known that the sum of its digits is 17 and the sum of the square of its digits is 109 . If we subtract 495 from this no. , we obtain a no consisting of the same digits written in reverse order.
5000
Q. M is a 2 digit no. which has the property that the product of factorial of its digits ? Sum of factorials of its digits. How many values of M exist?
  1. 56
  2. 64
  3. 63
  4. None of these

Q9 K is a 3 digit no such that the ratio of the no. to the sum of its digits is least. What is the difference b/w the hundredth and tenth digit of K?
  1. 9

  1. 8

  1. 7

  1. None of these


Q10. x and y are 2 positive integers . Then what will be the sum of coefficients of the expansion of the expression (x+y)^44?

  1. 2^43

  1. (2^43) + 1

  1. 2^44

  1. (2^44) - 1


Q11. find the remainder when 7^99 is divided by 2400
  1. 1
  2. 343
  3. 49
  4. 7


Q12. find the remainder when (10^3 + 9^3)^752 is divided by 12^3
  1. 729

  1. 1000
  2. 752
  3. 1


Q13. how many values of x and y are such that 4x + 7y = 3, while x

  1. 144
  2. 141
  3. 143
  4. 142

Q97.

Difficulty level
+ve marks
-ve marks
Lod 1
4
2
Lod2
3
1.5
Lod 3
2
1

The test had 200 question with 80 on lod 1, 60 lod2 and lod 3.

If a student has solved 100 question exactly and question that he or she might have marked is
  1. 44
  2. 56
  3. 60
  4. None of these
5001

This question is from # system. Question number 12 LOD 2

denotes the greatest integer value just below x and {x} its fractional value. The sum of ^3 and {x}^2 is -7.91. Find x.

Though the book says -1.7 , the justification is not very clear can some one please help me understand, How?

as far as is concerned is fine greatest integer value below -1.7 is -2 and ^3 is -8 but how come {x}^2 is equal to .09 cause 0.7^2=0.49

Please explain

5002
Q2. what is the no. of zeroes in the following:
3200*1000*40000*32000*15000000

sol:
total no. of zeroes =19

0's =18
5's = 1

one 5 * by 2 will give one more zero.
5003
Q3. A 2 digit no. is thrice as large as the sum of its digits, and the sq. of that sum is equal to the trebled required no.. Find the no?
sol:
x+10y = 3(x+y) --------(1)

(x+y)^2 = (x+10y)*3 ----------------(2)

{(x+10y)/3}^2 = 3*(x+10y)

x+10y = 27..................required answer
5004
Q7 find the 3 digit no. if it is known that the sum of its digits is 17 and the sum of the square of its digits is 109 . If we subtract 495 from this no. , we obtain a no consisting of the same digits written in reverse order.
sol;

17 = (8,6,3)

109 = (64 + 36 + 9)

863 - 495 = 368

so required no = 863
5005
Q1. The greatest no. which will divide 4003,4126 and 4249:
  1. 43
  2. 41
  3. 45
  4. None of these



is it none of these???


4003 not divisible by neither 45 nor 43.
4003 is also not divisible 41.