<![CDATA[CAT Question Bank - Binomial Theorem]]>Number of Questions - 20
Topic - Binomial theorem
Answer key available? - Yes
Source - Curated Content
]]>https://www.mbatious.com/topic/945/cat-question-bank-binomial-theoremRSS for NodeMon, 25 Mar 2019 18:24:49 GMTThu, 26 Oct 2017 04:37:13 GMT60<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Tue, 26 Dec 2017 08:24:09 GMT]]>Number of Questions - 20
Topic - Binomial theorem
Answer key available? - Yes
Source - Curated Content
]]>https://www.mbatious.com/post/5771https://www.mbatious.com/post/5771Tue, 26 Dec 2017 08:24:09 GMT<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>Q1) The sum of the coefficients in the expression (1 + x – 3x^2)^2163 is?
]]>https://www.mbatious.com/post/5772https://www.mbatious.com/post/5772Invalid Date<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>Q2) Find the coefficient of ‘x’ in the expansion of (1 - 2x^3 + x^5) [1 + (1/x)]^8
]]>https://www.mbatious.com/post/5773https://www.mbatious.com/post/5773Invalid Date<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>Q3) Find numerically the greatest term in the expansion of (2 + 3x)^9 when x = 3/2
]]>https://www.mbatious.com/post/5774https://www.mbatious.com/post/5774Invalid Date<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Mon, 30 Oct 2017 04:47:54 GMT]]>Q4) If the third term in the expansion of (x + x^logx)^5 is 10,00,000. Find the value of ‘x’. (Note - log in base 10)
]]>https://www.mbatious.com/post/5775https://www.mbatious.com/post/5775Mon, 30 Oct 2017 04:47:54 GMT<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>Q5) For (x^2 + 3y)^4, Find the coefficient where the sum of exponents of x and y in the expansion is 5
]]>https://www.mbatious.com/post/5776https://www.mbatious.com/post/5776Invalid Date<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>Q6) Find the coefficient of x^7 in the expansion of (1+ 3x - 2x^3)^10
]]>https://www.mbatious.com/post/5777https://www.mbatious.com/post/5777Invalid Date<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Mon, 30 Oct 2017 05:04:38 GMT]]>Q7) In the binomial expansion of (a - b)^n, n ≥ 5, the sum of the 5th and 6th terms is zero. Then find the value of a/b.
]]>https://www.mbatious.com/post/5778https://www.mbatious.com/post/5778Mon, 30 Oct 2017 05:04:38 GMT<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>Q8) If the coefficient of 4th and 13th terms in the expansion of [x^2 + (1/x)]^n be equal, then find the term which is independent of x
]]>https://www.mbatious.com/post/5779https://www.mbatious.com/post/5779Invalid Date<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>Q9) Find the coefficient of the term independent of y in the expansion of [(y + 1)/( y^2/3 – y^1/3 + 1) - (y – 1) / (y – y^1/2)]^10
]]>https://www.mbatious.com/post/5780https://www.mbatious.com/post/5780Invalid Date<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>Q10) A man has 2n + 1 friends. The number of ways in which he can invite at-least n + 1 friends for a dinner is 4096. Find the number of friends of the man.
]]>https://www.mbatious.com/post/5781https://www.mbatious.com/post/5781Invalid Date<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>Q11) What is the highest power of 12 in (5^36) - 1
]]>https://www.mbatious.com/post/5782https://www.mbatious.com/post/5782Invalid Date<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>Q12) What is d coefficient of x^204 in (x - 1)(x^2 - 2)(x^3 - 3) ... (x^20 - 20)
]]>https://www.mbatious.com/post/5783https://www.mbatious.com/post/5783Invalid Date<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>Q13) The sum of the rational terms in (√2 + 3√3 + 6√6)^10 is
a. 12632
b. 12600
c. 126
d. None of these
]]>https://www.mbatious.com/post/5784https://www.mbatious.com/post/5784Invalid Date<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>Q14) Find coefficient of x^8 in (1 − 2x + 3x^2 − 4x^3 + 5x^4 − 6x^5 + 7x^6)^6
]]>https://www.mbatious.com/post/5785https://www.mbatious.com/post/5785Invalid Date<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>Q15) Number of terms in the expansion of (1 + x + x^2)^100 is
]]>https://www.mbatious.com/post/5786https://www.mbatious.com/post/5786Invalid Date<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>Q16) The number of irrational terms in the binomial expansion of (3^(1/5) + 7^(1/3))^100 is
]]>https://www.mbatious.com/post/5787https://www.mbatious.com/post/5787Invalid Date<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>Q17) In the expansion of (3^(-x/4) + 3^(5x/4))^n, the sum of the binomial coefficients is 64 and the term with greatest binomial coefficient exceeds the third by (n-1), then find x.
]]>https://www.mbatious.com/post/5788https://www.mbatious.com/post/5788Invalid Date<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>Q18) Find the coefficient of x^4 in (1+ 2x + 3x^2 + ... )^1/2
]]>https://www.mbatious.com/post/5789https://www.mbatious.com/post/5789Invalid Date<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>Q19)
a) Find the coefficient of x^11 in (1 + x + x^2 + x^3 + ... + x^20)^15
b) Find the coefficient of x^11 in (x + x^2 + x^3 + ... + x^20)^15
c) Find the coefficient of x^11 in (x^3 + x^4 + ... + x^20)^15
]]>https://www.mbatious.com/post/5790https://www.mbatious.com/post/5790Invalid Date<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>Q20) What is the highest power of 4 that divides 5^12 - 1 ?
]]>https://www.mbatious.com/post/5791https://www.mbatious.com/post/5791Invalid Date<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>Q21) A positive real number is increased by 10% and then decreased by 10%. This process is repeated 99 more times. What can be said about the new number obtained?
a. It is less than 30% of the original number.
b. It is between 30% and 45% of the original number.
c. It is between 45% and 55% of the original number.
d. It is greater than 55% of the original number
]]>https://www.mbatious.com/post/5792https://www.mbatious.com/post/5792Invalid Date<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>@rowdy-rathore c is the ans
]]>https://www.mbatious.com/post/5814https://www.mbatious.com/post/5814Invalid Date<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>@rowdy-rathore 1
]]>https://www.mbatious.com/post/5815https://www.mbatious.com/post/5815Invalid Date<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>@rowdy-rathore put x =1
(1+1-3)^2163 = (-1)^2163 = -1
]]>https://www.mbatious.com/post/5823https://www.mbatious.com/post/5823Invalid Date<![CDATA[Reply to CAT Question Bank - Binomial Theorem on Invalid Date]]>@rowdy-rathore x=10
]]>https://www.mbatious.com/post/5824https://www.mbatious.com/post/5824Invalid Date