Q.10531·Miscellaneous·2015·EasyGiven a function f(x) = -1 if x ≤ 0 f(x) = ax + b if 0 < x < 1 f(x) = 1 if x ≥ 1 where a, b are constants. The function is continuous everywhere. What is the value of a?View question
Q.10532·Miscellaneous·2015·EasyWhich one among the following happens when a swing rises to a certain height from its rest position?View question
Q.10533·Miscellaneous·2015·Easyf(x) = -1 if x ≤ 0 f(x) = ax + b if 0 < x < 1 f(x) = 1 if x ≥ 1 where a, b are constants. The function is continuous everywhere. What is the value of b?View question
Q.10534·Miscellaneous·2015·EasyConsider the following functions: 1.f(x) = x³, x ∈ R 2.f(x) = sin x, 0 < x < 2π 3.f(x) = e^x, x ∈ R Which of the above functions have inverse defined on their ranges?View question
Q.10535·Miscellaneous·2015·EasyThe integral ∫ dx / (a cos x + b sin x) is of the form (1/r) ln|tan((x + α)/2)| What is r equal to?View question
Q.10536·Miscellaneous·2015·EasyWhich one among the following is used in making gunpowder?View question
Q.10537·Miscellaneous·2015·EasyAt what value of x does f(x) attain minimum value? Consider the function f(x) = (x² − 1)/(x² + 1) where x ∈ R.View question
Q.10538·Miscellaneous·2015·EasyWhat is the minimum value of f(x)? Consider the function f(x) = (x² − 1)/(x² + 1) where x ∈ R.View question
Q.10539·Miscellaneous·2015·EasyThe cleaning action of soap and detergent in water is due to the formation ofView question
Q.10541·Miscellaneous·2015·EasyIn this question, a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled (a), (b), (c). Read each sentence to find out whether there is an error in any underlined part. No sentence has more than one error. When you find an error in any one of the underlined parts (a), (b) or (c), indicate your response on the Answer Sheet at the appropriate space. You may feel that there is no error in a sentence. In that case letter ‘(d)’ will signify a ‘No error’ response.View question
Q.10542·Miscellaneous·2015·EasyIn this question, a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled (a), (b), (c). Read each sentence to find out whether there is an error in any underlined part. No sentence has more than one error. When you find an error in any one of the underlined parts (a), (b) or (c), indicate your response on the Answer Sheet at the appropriate space. You may feel that there is no error in a sentence. In that case letter ‘(d)’ will signify a ‘No error’ response.View question
Q.10543·Miscellaneous·2015·EasyIn this question, a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled (a), (b), (c). Read each sentence to find out whether there is an error in any underlined part. No sentence has more than one error. When you find an error in any one of the underlined parts (a), (b) or (c), indicate your response on the Answer Sheet at the appropriate space. You may feel that there is no error in a sentence. In that case letter ‘(d)’ will signify a ‘No error’ response.View question
Q.10544·Miscellaneous·2015·EasyIn this question, a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled (a), (b), (c). Read each sentence to find out whether there is an error in any underlined part. No sentence has more than one error. When you find an error in any one of the underlined parts (a), (b) or (c), indicate your response on the Answer Sheet at the appropriate space. You may feel that there is no error in a sentence. In that case letter ‘(d)’ will signify a ‘No error’ response.View question
Q.10545·Miscellaneous·2015·EasyIn this question, a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled (a), (b), (c). Read each sentence to find out whether there is an error in any underlined part. No sentence has more than one error. When you find an error in any one of the underlined parts (a), (b) or (c), indicate your response on the Answer Sheet at the appropriate space. You may feel that there is no error in a sentence. In that case letter ‘(d)’ will signify a ‘No error’ response.View question
Q.10546·Miscellaneous·2015·EasyIn this question, a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled (a), (b), (c). Read each sentence to find out whether there is an error in any underlined part. No sentence has more than one error. When you find an error in any one of the underlined parts (a), (b) or (c), indicate your response on the Answer Sheet at the appropriate space. You may feel that there is no error in a sentence. In that case letter ‘(d)’ will signify a ‘No error’ response.View question
Q.10547·Miscellaneous·2015·EasyIn this question, a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled (a), (b), (c). Read each sentence to find out whether there is an error in any underlined part. No sentence has more than one error. When you find an error in any one of the underlined parts (a), (b) or (c), indicate your response on the Answer Sheet at the appropriate space. You may feel that there is no error in a sentence. In that case letter ‘(d)’ will signify a ‘No error’ response.View question
Q.10548·Miscellaneous·2015·EasyIn this question, a number of sentences are given. The sentences are underlined in three separate parts and each one is labelled (a), (b), (c). Read each sentence to find out whether there is an error in any underlined part. No sentence has more than one error. When you find an error in any one of the underlined parts (a), (b) or (c), indicate your response on the Answer Sheet at the appropriate space. You may feel that there is no error in a sentence. In that case letter ‘(d)’ will signify a ‘No error’ response.View question