The remainders when f(x) is divided by (x-99) and (x-19) are 19 and 99 respectively. find the remainder when f(x) is divided by (x-19) (x-99)
a) 118+x
b) 118-x
c) 99+x
d) 19+x
what digit does 'a' represent.
if 35!=10333147966386144929a66651337523200000000
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No. of terms in expansion of ( 1+ a + a2 + a3)^5 ? how should one approach such problems? @Dazed-Confused please help . 😃
The first 'x' natural no. are written on a sheet of paper.I erase one of the no. and the product of the remaining no.end with 14 consecutive zeeroes.
a. which of the following can be the max. value of 'x'?
1.64 2.79 3.69. 4.74
b. which of the following can be the min, value of 'x'?
1.64 2.59 3.60 4.54
how many rectangles on a chess board (8*8) are not squares?
- 1192
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- 1296
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A tosses 6 fair coins and B tosses 5 fair coins. What is the probability that A gets more "heads"
than B?
a) 0.5 b) 0.33 c) 0.67 d) 0.25
The corner of a cube has been cut by the plane passing through the mid-point of the three edges meeting at that corner. If the edge of the cube is of 2 cm length, then the volume of the pyramid thus cut off is
i know this is a basic question ,but please help me out😃... if there are 8 persons standing in a circle ,then in how many ways can you choose 3 persons such that none of them are adjacent to each other?
Let T be the set of integers {2, 12, 22, 32 ..., 542, 552} and S be a subset of T such that the sum of no two elements of S is divisible by 3. The maximum possible number of elements in S is
N = 1^1 × 2^2 × 3^6 × 4^12 × 5^20 ..... 25 terms. Find the highest power of 75 that can divide N.
there is a number which is 3 times of sum of its digits, if by taking that number as a side we draw a rectangle and other side is 1/2(half) of that side. Then what will be the area of largest isosceles triangle which can be drawn inside the rectangle?😁
You have a six-sided cube and six cans of paint, each a different color. You may not mix colors of paint. How many distinct ways can you paint the cube using a different color for each side? (If you can reorient a cube to look like another cube, then the two cubes are not distinct.) (A) 24 (B) 30 (C) 48 (D) 60 (E) 120
How many terms are there in the expansion of (1+a^2+a^3+a^4)^5..don't have the OA so please share your approach too 😃
ten's digit of (129)^131
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A bag contain 2 red,4 green,4 blue n 5 white balls. 2 balls are drawn at random from bag without replacement. X is defined as the event that atleast 1 of the 2 ballsdrawn is white n Y is defined as the event that none of the 2 balls drawn. Then which of the following is correct
1. P(X)=P(Y)
2. P(X)
3. P(X)>P(Y)
4. P(X)=1.5P(Y)
the minimum value of the expression f(x)=x^8+x^6-x^4+2x^3-x^2-2x+9
options
a)5
b)1
c)0
d)9
approach please
Robin lend out Rs. 9 on the condition that the loan is payable in 10 months by 10 equal
installments of Re. 1 each. Find the rate of interest per annum.
If k and n are positive integers such that k is odd and n>=1, then 1^k+2^k+3^k....n^k is divisible by
- n(n+1)
- [n(n+1)(2n+1)]/6
- [n(n+1)(n+2)]/6
- [n(n+1)]/2
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A closed wooden box when measured externally is 9cm,7cm broad and 6cm high. If the thickness of the wood is half a centimetre,find the capicity of the box.A) 378 315C) 324D) 240E) 280
1. a:b = 7:4 , find (a+b):(a-b) ?
2. (a+b):(a-b) = 11:3 , find a:b ?