Official Quant thread for CAT 2013

plz explain this !

What is the remainder when (111...) + (222...) + (333...) + … + (777...) is divided by 37?

In each bracket, the single digit (1, 2, 3, ..., 7) is written 110 times next to itself

OPTIONS

1) 1

2) 12

3) 18

4) 36

5) 0

Find the total number of ways in which a student can attempt an exam, such that he answers at least two questions out of a total of 150 questions in the exam, given that each question has four multiple answers choices.
PS: keep answer in simple form.

There are three cards on which the numbers 1 to 3 (one number on each card) are written and two cards on both of which the number 4 is written. Also there are three boxes of three different colours and two boxes of a fourth color. In how many distinguishable ways can be five cards be placed in the five boxes, with exactly one card going into each box ? (A) 21(B) 33(C) 28(D) 22

IN the attached sum Question number -3 , they will (5-3)= 2 times for each round , and there are 6000/120=50 rounds .
so Answer should be 100 but no it's something else . Don't remember exactly . can somebody explain

@grkkrg @psk.becks @saket07 @trial.verison

In a flood affected area called Waterland there were 500 adult residents. Each of the male member decided to contribute an amount equal to the number of female residents in Waterland and similarly each woman decided to contribute an amount equal to the number of male residents. The village chief then contributed an amount equivalent collected by the villagers. The total amount collected was 2.4 lakh. What is the number of men residents in the city ?


300
400
250
CBD

6 students are sitting in a row. In how many can a test paper comprising of 3 sets A,B and C be distributed evenly such that the 2 same sets are not consecutive??


oA:30

In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?(a) 6!/2! (b) 3! * 3! (c) 4!/2! (d) 4!*3!/2!

Six persons A,B,C,D,E &F; went to soldier cinema. There are six consecutive seats. A sits in the first seat followed by B, followed by C and so on. If A taken on of the six seats, then B should sit adjacent to A. C should sit adjacent to A or B. D should sit adjacent to A, B or C and so on. How many possibilities are there ?

  • 32
  • 192
  • 64

0 voters

There are 3 clocks on a wall; one that shows the correct time, one that runs late by 4

minutes every hour and one that runs early by 6 minutes every hour. All the three

clocks are set at 6 o' clock. After how many hours will all the three clocks show 6 o'

clock simultaneously?

1) 120 hours

2) 180 hours

3) 270 hours

4) 360 hours

100! highest power of 2.please explain approch

Priyanka and Parul run a race with their speeds in the ratio of 5 : 3. They prefer to run on a circular track of circumference 1.2 km. What is the distance covered by Priyanka when she passes Parul the seventh time? (they run in the same direction)(1) 21 km (2) 26 km(3) 32 km (4) 33 km

If S is a 5-digit number and a and b are the quotient and the remainder, respectively, when S is divided by 100 . For how many values of S is a+b divisible by 11 ?

How many 5 digit numbers can be formed using the digits 0,1,2,4,8 only once such that the number formed is divisible by 120?(a) 6 (b) 8 (c) 10 (d) 12

In a village, there are 600 children who know Maths, 400 children who know Science and 150 children who know both. Out of those who know Maths, 300 know Algebra, 400 know Geometry and 200 know both.


1-How many children who know neither Algebra nor Geometry?(assume that all children in the village know at least one of the subjects Maths and Science)

a. 250

b. 350

c. 400

d. cannot be determined


2. how many children know science and algebra?

a. 100

b. 150

c. 50

d. cbd

help !

Options:


(a) 0

(b) 1

(c) 2

(d) 1 or 2


Share approach.

what is the digit at the unit's place of 12^66/3^15 + 8^48/16^18

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  • 4
  • 2
  • 8
  • 7

0 voters

if the first 99 natural numbers are written side by side to form a new number 12345.....9899,then find the remainder when this number is divided by 11

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  • 5
  • 6
  • 3
  • 4

0 voters

Find the units digit of the product of first 29 odd prime numbers. A. 7 B. 3 C. 5 D.Noneoftheabove