[{"id":124306,"question":"If the sum of co-efficient in the expansion of (a+b)<sup>n</sup>is 4096, then the greatest co-efficient in the expansion is","choices":[{"text":"1594","value":"A"},{"text":"792","value":"B"},{"text":"924","value":"C"},{"text":"2924","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":124305,"question":"If the sum of co-efficient in the expansion of (a+b)<sup>n</sup>is 4096, then the greatest co-efficient in the expansion is","choices":[{"text":"1594","value":"A"},{"text":"792","value":"B"},{"text":"924","value":"C"},{"text":"2924","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":124304,"question":"The positive integer just greater than (1+0.0001)<sup>10000</sup>is","choices":[{"text":"4","value":"A"},{"text":"5","value":"B"},{"text":"2","value":"C"},{"text":"3","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":124303,"question":"","questionImage":"124303_636350474624942708-RQ.jpg","choices":[{"text":"","img":"124303_636350474624942708-RA1.jpg","value":"A"},{"text":"","img":"124303_636350474624942708-RA2.jpg","value":"B"},{"text":"","img":"124303_636350474624942708-RA3.jpg","value":"C"},{"text":"","img":"124303_636350474624942708-RA4.jpg","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":124302,"question":"","questionImage":"124302_636350472176887896-RQ.jpg","choices":[{"text":"2 and 9","value":"A"},{"text":"3 and 2","value":"B"},{"text":"2/3 and 9","value":"C"},{"text":"3/2 and 6","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":124300,"question":"","questionImage":"124300_636350470963599507-RQ.jpg","choices":[{"text":"28 / 81","value":"A"},{"text":"28 / 243","value":"B"},{"text":"81 / 28","value":"C"},{"text":"243 / 82","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":124297,"question":"","questionImage":"124297_636350469979636969-RQ.jpg","choices":[{"text":"405 / 256","value":"A"},{"text":"504 / 259","value":"B"},{"text":"450 / 263","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":124295,"question":"","questionImage":"124295_636350468527883721-RQ.jpg","choices":[{"text":"<sup>10</sup>C<sub>6</sub>","value":"A"},{"text":"<sup>10</sup>C<sub>5</sub>","value":"B"},{"text":"<sup>10</sup>C<sub>4</sub>","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":124294,"question":"If in the expansion of (1+x)<sup>n</sup>, co-efficients of 2nd, 3rd and 4th terms are in A.P., then x=","choices":[{"text":"4","value":"A"},{"text":"5","value":"B"},{"text":"6","value":"C"},{"text":"7","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":113624,"question":"The expansion of (1 - 3x)<sup>-1</sup>is valid if","choices":[{"text":"| x | &lt; 1","value":"A"},{"text":"| x | &lt; 3","value":"B"},{"text":"| x | &lt; 1/3","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":113623,"question":"The expansion of (1 + 2x)<sup>-2</sup>is valed if","choices":[{"text":"| x | &lt; 1/2","value":"A"},{"text":"| x | &lt; 1","value":"B"},{"text":"| x | &lt; 2","value":"C"},{"text":"| x | &lt; 3","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":113622,"question":"If | x | &lt; 1, then the first two terms of (1 - x)<sup>1/2</sup>are","choices":[{"text":"","img":"113622_636325225457670902-RA1.jpg","value":"A"},{"text":"","img":"113622_636325225457670902-RA2.jpg","value":"B"},{"text":"","img":"113622_636325225457670902-RA3.jpg","value":"C"},{"text":"","img":"113622_636325225457670902-RA4.jpg","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":113621,"question":"","questionImage":"113621_636325224055088782-RQ.jpg","choices":[{"text":"8","value":"A"},{"text":"9","value":"B"},{"text":"10","value":"C"},{"text":"11","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":113620,"question":"If n is not natural number, then the expansion (1 + x)<sup>n</sup>is valid for","choices":[{"text":"","img":"113620_636325223472362211-RA1.jpg","value":"A"},{"text":"","img":"113620_636325223472362211-RA2.jpg","value":"B"},{"text":"","img":"113620_636325223472362211-RA3.jpg","value":"C"},{"text":"","img":"113620_636325223472362211-RA4.jpg","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":113619,"question":"The sum of the even coefficients in the expansion (1 + x)<sup>n</sup>is","choices":[{"text":"n<sup>2</sup>","value":"A"},{"text":"2<sup>n-2</sup>","value":"B"},{"text":"2<sup>n-1</sup>","value":"C"},{"text":"2<sup>n</sup>","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":113617,"question":"If the exponent in the binomial expansion is 6, then the middle term is","choices":[{"text":"2nd term","value":"A"},{"text":"3rd term","value":"B"},{"text":"4th term","value":"C"},{"text":"5th term","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":113616,"question":"The number of terms in the expansion of (a + x)<sup>12</sup>is","choices":[{"text":"13","value":"A"},{"text":"12","value":"B"},{"text":"11","value":"C"},{"text":"10","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":113615,"question":"(1 - x)<sup>3</sup>= ______","choices":[{"text":"1 + 3x + 3x<sup>2</sup>+ x<sup>3</sup>","value":"A"},{"text":"1 + x + x<sup>2</sup>+ x<sup>3</sup>","value":"B"},{"text":"1 - x + x<sup>2</sup>- x<sup>3</sup>","value":"C"},{"text":"1 - 3x + 3x<sup>2</sup>- x<sup>3</sup>","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":113613,"question":"(1 + 2x)<sup>4</sup>= ______","choices":[{"text":"1 + 4x + 6x<sup>2</sup>+ 4x<sup>3</sup>+ x<sup>4</sup>","value":"A"},{"text":"1 - 4x + 6x<sup>2</sup>- 4x<sup>3</sup>+ x<sup>4</sup>","value":"B"},{"text":"1 - 8x + 24x<sup>2</sup>- 32x<sup>3</sup>+ 16x<sup>4</sup>","value":"C"},{"text":"1 + 8x+ 24x<sup>2</sup>+ 32x<sup>3</sup>+ 16x<sup>4</sup>","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":113611,"question":"If n is any positive integer then 2<sup>n</sup>&gt; 2(n + 1) is true for all","choices":[{"text":"","img":"113611_636325217801581557-RA1.jpg","value":"A"},{"text":"","img":"113611_636325217801581557-RA2.jpg","value":"B"},{"text":"","img":"113611_636325217801581557-RA3.jpg","value":"C"},{"text":"","img":"113611_636325217801581557-RA4.jpg","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":113607,"question":"If n is any positive integer then 4<sup>n</sup>&gt;3<sup>n</sup>+ 4 is true for all","choices":[{"text":"","img":"113607_636325216019075338-RA1.jpg","value":"A"},{"text":"","img":"113607_636325216019075338-RA2.jpg","value":"B"},{"text":"","img":"113607_636325216019075338-RA3.jpg","value":"C"},{"text":"","img":"113607_636325216019075338-RA4.jpg","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":113605,"question":"If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______","choices":[{"text":"","img":"113605_636325214524815782-RA1.jpg","value":"A"},{"text":"","img":"113605_636325214524815782-RA2.jpg","value":"B"},{"text":"","img":"113605_636325214524815782-RA3.jpg","value":"C"},{"text":"","img":"113605_636325214524815782-RA4.jpg","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":113603,"question":"If a statement S(n) is true for n = i where i is some natural number and the truth of S(n) for n = k &gt; i implies the truth of S(n) for n = k +1 then S(n) is true for all positive integers","choices":[{"text":"","img":"113603_636325213197156236-RA1.jpg","value":"A"},{"text":"","img":"113603_636325213197156236-RA2.jpg","value":"B"},{"text":"","img":"113603_636325213197156236-RA3.jpg","value":"C"},{"text":"","img":"113603_636325213197156236-RA4.jpg","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":113600,"question":"The middle term in the expansion of (a +x)<sup>12</sup>is","choices":[{"text":"7th","value":"A"},{"text":"8th","value":"B"},{"text":"9th","value":"C"},{"text":"6th","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":113599,"question":"The sum of the coefficient in the expansion of (a + x)<sup>5</sup>is","choices":[{"text":"32","value":"A"},{"text":"16","value":"B"},{"text":"8","value":"C"},{"text":"5","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":113598,"question":"The sum of the odd coefficients in the expansion of (a + x)<sup>4</sup>is","choices":[{"text":"14","value":"A"},{"text":"12","value":"B"},{"text":"8","value":"C"},{"text":"4","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":113596,"question":"The sum of even coefficient in the binomial expansion is","choices":[{"text":"2<sup>n+1</sup>","value":"A"},{"text":"2<sup>n</sup>","value":"B"},{"text":"2<sup>n-1</sup>","value":"C"},{"text":"2n","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":113595,"question":"If n is odd then the middle terms in the expansion of (a + x)<sup>n</sup>are","choices":[{"text":"","img":"113595_636325209996543516-RA1.jpg","value":"A"},{"text":"","img":"113595_636325209996543516-RA2.jpg","value":"B"},{"text":"","img":"113595_636325209996543516-RA3.jpg","value":"C"},{"text":"","img":"113595_636325209996543516-RA4.jpg","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":113592,"question":"In the expansion of (a + x)<sup>n</sup>the sum of exponents of a and x in each term of the expansion is","choices":[{"text":"n + 1","value":"A"},{"text":"n - 1","value":"B"},{"text":"n","value":"C"},{"text":"2n","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":113590,"question":"The number of terms in the expansion of (a + b)<sup>9</sup>is","choices":[{"text":"10","value":"A"},{"text":"11","value":"B"},{"text":"9","value":"C"},{"text":"12","value":"D"},{"value":"E"}],"correctAnswer":1}]