Official Quant thread for CAT 2013

22^33 + 10^35 when divided by 45 gives a remainder of?

A hundred and twenty digit number is formed by wrtting the first x natural numbers in front of each other as 12345678910111213...find the remainder when dis number is divided by 8.

pls explain in detail..mg

Radius of circle 1 is 10cm. radius of circle 2 is 8cm. distance between their centers is 14 cm. if the two circles intersect. find the common region to both the circles???

Is there any short-cut approach to find the remainder in the ques below:


Find remainder when x^3-5x^2+7x-9 is divided by x^2+x-6?

ans is 19x-45

A flag-post is placed on the top of a building of height 200 m.The angles of elevation of the top of the flag-post observed from the foot and the top of another nearby building of height 150 m, are 60° and 30° respectively. Find the height of the flag-post.?


1.75 2.25 3.37.5 4.100


Please reply i am nt gettin the ans which is in option ..plz help

Few questions on remainder.


Q1. If 2^n can exactly divide p! then the value of n which is not possible a. 43 b. 44 c. 45 d. None of these

Find the reminders when

Q2. 888222888222. . . . . up to 9235 digits divided by 53.

Q3.6^6 6 . . . . . . Infinity is divided by 10

Q4. 37!^37! Divided by 100

Q5.
(10^3+ 9^3)^752 is divided 12^
12.

explain it...

a^7 * b^2 * c^3 * d^5 =512. Find the min. value of a^7 + 2 b^2 +2 c^3 +2 d^5?


1. 32
2. 24
3. 56
4. 48

Pls share ur approach....

If a, b and c are three positive integers in geometric progression, then the roots of the equation ax 2 + 4bx + 2c = 0 are

Imaginary
Real
Irrational
equal
Rational

Munia, Mrinal and Munmun are three software engineers working on a project. Munia and Mrinal together took 90 days to complete the project, which Mrinal and Munmun together would have finished in 63 days only. If Munmun is twice as efficient as Munia, find the time in which Munia and Munmun would have finished the same project.

V is a positive integer. When V is divided by any of the numbers 2, 11, 13, 71 and 89 the remainder is 1. What is the remainder when V 256 is divided by 16

Arjun and Bheem are standing at point A on a circular track with circumference 300 m. Cherry isstanding at point B which is diametrically opposite point A on the track. All three of them startrunning simultaneously on the track; Arjun and Cherry run in clockwise direction at 3 m/s and4 m/s respectively while Bheem runs in anticlockwise direction at 5 m/s. After how much time fromthe start will Cherry be equidistant from Arjun and Bheem for the first time?

In how many ways can 4 letters be placed in 5 boxes such that-


a) Letters are different and boxes are similar?

b) Letters are similar and boxes are different?

c) Letters are different and boxes are different?

d) Letters are similar and boxes are similar?

When We need to find the numbers between 1000 and 4000 with the digits 0,1,2,3 and 4, with repetition possible.
The thousand's digit can be any of 1,2,3. (3 ways) and
All the other 3 digits can be any of 0,1,2,3,4 (5 ways)

How many digits can we have totally and can someone explain why?

. A milk man bought pure milk and adds some water to it before selling .he sells mixture 10 % less than price of pure milk and makes 10 % profit . whats the amount of water he adds for every 2 litres of pure milk . ?

4/9 ,2/3,2/9,

plz help me with approach

what does the maxima of the curve mean??? is it the y coordinate or (x,y) both?? please help!

Reference:

Consider the following two curves in the x-y plane y = x2 – 6x + 8 and y = –x2 + bx + c. If the maxima of one curve is the minima of the other curve, then what is the value of 'b'?


@placiddisciple

5.

Which of the following is the biggest set, which is such that if x is any element of that set; then fog(x) is negative?

R

N

Z


none of these

How many pairs of integers are there such that twice the sum of the integers is equal to their product?

  • 3
  • 4
  • more than 4
  • 2

0 voters

If Bf represents the number of bijective functions from S1 = {a, b, c, d, e} to S2 = {p, g, r, s, t} such that f(c) ≠ t and f(e) ≠ p, what is the value of Bf?

a 120

b 84

c 114

d 78


plz explain


The difference between the compound interest, being compounded annually, on a sum of Rs. 1,00,000 and the simple interest at the same rate on the same sum for 2 years is Rs.225. What is the rate of interest per annum ?