Q.6985·Miscellaneous·2018·EasyIf an infinite GP has the first term x and the sum 5, then which one of the following is correct ?View question
Q.6986·Miscellaneous·2018·EasyConsider the following expressions : 1. x + x² – 1/x 2 . √(ax² + bx + c – d/x + e/x²) 3. 3x² – 5x + ab 4. 2/(ax + b³) 5. 1/x – 2/(x + 5) Which of the above are rational expressions ?View question
Q.6988·Miscellaneous·2018·EasyIf A, B and C are subsets of a Universal set, then which one of the following is not correct ?View question
Q.6989·Miscellaneous·2018·EasyIf a + b + c = 0, then one of the solutions of | a–x b c | | b –x a | = 0 | c a –x | isView question
Q.6990·Miscellaneous·2018·EasyLet x be the number of integers lying between 2999 and 8001 which have at least two digits equal. Then x is equal toView question
Q.6991·Miscellaneous·2018·EasyThe sum of the series 3 – 1 + 1/3 – 1/9 + 1/27 – … is equal toView question
Q.6992·Miscellaneous·2018·EasyA survey was conducted among 300 students. It was found that 125 students like to play cricket, 145 students like to play football and 90 students like to play tennis. 32 students like to play exactly two games out of the three games. How many students like to play all the three games ?View question
Q.6993·Miscellaneous·2018·EasyA survey was conducted among 300 students. It was found that 125 students like to play cricket, 145 students like to play football and 90 students like to play tennis. 32 students like to play exactly two games out of the three games. How many students like to play exactly only one game ?View question
Q.6994·Miscellaneous·2018·EasyFor a square matrix A, which of the following properties hold ? 1. (A⁻¹)⁻¹ = A 2. det(A⁻¹) = 1/det A 3. (λA)⁻¹ = λA⁻¹ where λ is a scalar Select the correct answer using the code given below :View question
Q.6995·Miscellaneous·2018·EasyWhich one of the following factors does the expansion of the determinant | x² 5y³ 9 | | x³ z² y | | 10y⁶ 27 1 | contain ?View question
Q.6996·Miscellaneous·2018·EasyWhat is the adjoint of the matrix [ cos(–θ) –sin(–θ) ] [ –sin(–θ) cos(–θ) ]View question
Q.6997·Miscellaneous·2018·EasyThere are 17 cricket players, out of which 5 players can bowl. In how many ways can a team of 11 players be selected so as to include 3 bowlers ?View question
Q.6999·Miscellaneous·2018·EasyThe system of equations 2x + y – 3z = 5, 3x – 2y + 2z = 5, 5x – 3y – z = 16 isView question
Q.7000·Miscellaneous·2018·EasyWhich one of the following is correct in respect of the cube roots of unity ?View question
Q.7001·Miscellaneous·2018·Easy"Now, ladies and gentlemen," said the conjuror, "having shown you that the cloth is absolutely empty, I will proceed to take from it a bowl of goldfish. Presto !" All around the hall people were saying, "Oh, how wonderful ! How does he do it?" But the Quick Man on the front seat said in a big whisper to the people near him, "He-had-it-up-his-sleeve." Then the people nodded brightly at the Quick Man and said, "Oh, of course;" and everybody whispered round the hall, "He-had-it-up-his-sleeve." "My next trick," said the conjuror, "is the famous Hindostanee rings. You will notice that the rings are apparently separate; at a blow they all join (clang, clang, clang)—Presto !" There was a general buzz of stupefaction till the Quick Man was heard to whisper, "He-must-have-had-another-lot-up-his-sleeve." Again everybody nodded and whispered, "The-rings-were-up-his-sleeve." The brow of the conjuror was clouded with a gathering frown. "I will now," he continued, "show you a most amusing trick by which I am enabled to take any number of eggs from a hat. Will some gentleman kindly lend me his hat? Ah, thank you—Presto !" He extracted seventeen eggs, and for thirty-five seconds the audience began to think that he was wonderful. Then the Quick Man whispered along the front bench, "He-has-a-hen-up-his-sleeve," and all the people whispered it on. "He-has-a-lot-of-hens-up-his-sleeve." The egg trick was ruined. It went on like that all through. It transpired from the whispers of the Quick Man that the conjuror must have concealed up his sleeve, in addition to the rings, hens, and fish, several packs of cards, a loaf of bread, a doll's cradle, a live guinea pig, a fifty-cent piece, and a rocking chair. "The egg trick was ruined." This means thatView question
Q.7002·Miscellaneous·2018·Easy"Now, ladies and gentlemen," said the conjuror, "having shown you that the cloth is absolutely empty, I will proceed to take from it a bowl of goldfish. Presto !" All around the hall people were saying, "Oh, how wonderful ! How does he do it?" But the Quick Man on the front seat said in a big whisper to the people near him, "He-had-it-up-his-sleeve." Then the people nodded brightly at the Quick Man and said, "Oh, of course;" and everybody whispered round the hall, "He-had-it-up-his-sleeve." "My next trick," said the conjuror, "is the famous Hindostanee rings. You will notice that the rings are apparently separate; at a blow they all join (clang, clang, clang)—Presto !" There was a general buzz of stupefaction till the Quick Man was heard to whisper, "He-must-have-had-another-lot-up-his-sleeve." Again everybody nodded and whispered, "The-rings-were-up-his-sleeve." The brow of the conjuror was clouded with a gathering frown. "I will now," he continued, "show you a most amusing trick by which I am enabled to take any number of eggs from a hat. Will some gentleman kindly lend me his hat? Ah, thank you—Presto !" He extracted seventeen eggs, and for thirty-five seconds the audience began to think that he was wonderful. Then the Quick Man whispered along the front bench, "He-has-a-hen-up-his-sleeve," and all the people whispered it on. "He-has-a-lot-of-hens-up-his-sleeve." The egg trick was ruined. It went on like that all through. It transpired from the whispers of the Quick Man that the conjuror must have concealed up his sleeve, in addition to the rings, hens, and fish, several packs of cards, a loaf of bread, a doll's cradle, a live guinea pig, a fifty-cent piece, and a rocking chair. "The brow of the conjuror was clouded with a gathering frown." The sentence means that the conjurorView question