Official Quant thread for CAT 2013

If the sum of the number formed by the first two digits and the last two digits of a four digit number is equal to the number formed by the middle two digits (Example 1978, 19 + 78 = 97), the number is called as a peculiar number. If all peculiar numbers are arranged in ascending order, find the sum of peculiar numbers just before and after 1978.

(1) 2876

(2) 4285

(3) 3876

(4) 4175

In how many ways can 7 rings of different colours be worn on 5 fingers of one hand?

What is the 4800th digit for the number 1333555557777777 ......?😠😠

(or any XYZ digit)

@Devanki

A newsagent sells the dailies Hindu, Express and Mail in equal number to 906 persons. 21 persons get Express and Mail, 36 get Hindu and Mail, 27 get Hindu and Express and get 9 all the three papers.The percentage getting Hindu or Express but not Mail is





1. nearly 64%



2. less than 60%



3. more than 65%



4. 65%



5. can't be determined



2.

there are 5 letters and 3 addressed envelopes. Only 3 letters out of 5 corresponds to the 3 envelopes.


i. the number of ways in which all the letters are put in wrong envelope.

ii. Number of ways in which atleast 2 letters are put in wrong envelope.

  • 31,51
  • None of the above
  • 32,51
  • 31,52

0 voters

how many numbers between 0 and 1 million can be formed using 0.7, and 8? kindly xplain it too

  • 728
  • 1086
  • 486

0 voters

a car driver ,driving n fog ,passes a pedestrian who was walking at the rate of 2 km per hour in the same direction. the pedestrian could see the car for 6 mins and it was visible to him up to a distance of 0.6 km.what is the speed of the car?explain d shrtst way

  • 20 kmph
  • 8 kmph
  • 15 kmph
  • 30 kmph

0 voters

ram a motorist uses 24% of his fuel in covering the first 20% of his total journey(in city driving conditins). if he knws tht he has to cover another 25% of his total journey in city driving conditions.what should be the minimum percentage increase in the fuel efficiency for non city driving over the city driving fuel efficiency,so that he is just able to cover his entire journey widout havng fuel?

  • 41.2 %
  • 45.6%
  • 43.5%
  • 39.2%

0 voters

a shopkeeper is giving 6 kg of rice at the price of rs 5 kg .what should be the markup on cost price if he wants to mak a profit of 20%?

  • 25 %
  • 20%
  • 44%
  • 50%

0 voters

if 1 gm of gold 10 carats fine, 1 gm of gold 11 carats fine, 2 gm of gold 12 carats fine, and 5 gm of gold 13 carats fine be mixed together ,then the fineness of the resulting compound is

  • 12 carats
  • 12.7 carats
  • 12.22 carats
  • 12.5 carats

0 voters

A grandfather had a big bundle of hundred - rupee notes. He wanted to give his 3 grandsons some pocket money during the 10 days of Dushera. On the first day he gave them a total of three notes, on the second day a total of four notes and so on. (On the nth day he gave them a total of n + 2 notes.) If on each day, each grandson got at least one note, in how many ways could the grandfather have given the notes?

11c2
12c2
12c3
none of these




Did anyone solve todays Quantexpert's QOD?
I am not a member of the site, hence cant acess the answers. Can someone share them please 😃

@scrabbler @vion @amresh_maverick
According to a survey, at least 70% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?

Six children are standing along the x-axis at points (0,0), (17,0), (40,0), (85,0), (173,0), (440,0). The children decide to meet at some point along the x-axis. What is the minimum total distance the children must walk in order to meet?

Circle Γ with center O has diameter AB=192. C is a point outside of Γ, such that D is the foot of the perpendicular from C to AB and D lies on the line segment OB. From C, a tangent to Γ is drawn, touching Γ at E, where the foot of the perpendicular from E to AB lies within AD. CD intersects EB at F. If CF=110, what is the length of OC?

From a solid cylinder of diameter 30 cm, and height 20 cm, a cube of largest possible volume is chiseled out. Find the Volume of the cube.

1. 7500(root2)
2. 8000
3. 3375(root2)
4. 400(root2)
5. None

What is the remainder when 123456, 123456, . . . . . (up to 600 digits) is divided by 91?

30

60

51

85


Q1 . A={a1,a2...a5} B={b1,b2..b4}

No. of different onto mappings from A to B ?
Q2. If A=(P,Q,R,S,T) and B=(a,b,c) then how many onto functions F:A->B are possible?

Please share the approach.
A function is said to be onto if each element in the range has at least one corresponding element in the domain. Basically a P&C; problem after this definition

Q4

QuantExpert - Q.O.D


A person has 8 letters and 8 addressed envelopes corresponding to those letters. In how many ways can he put the letters in the envelopes such that exactly 5 of them get delivered correctly?