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101) Find the error part: (a) Mr. Bacon has /(b) great affection to /(c) his family. /(d) No error.
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102) Find the error part: It was apparent for (a)/everyone present (b)/that if the patient did not receive (c)/immediate medical aid he would die. (d)
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103) Find the error part: (a) Nobody denies /(b) that my ideas /(c) are different than yours. /(d) No error.
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104) Find the error part: He always says (a)/that he prefers to go (b)/home to stay in (c)/a hotel at night. (d)/
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105) Find the error part: (a) My mother is fond off /(b) cooking different /(c) types of dishes /(d) No error.
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106) If the sum of two numbers is 12 and their product is 35, then what will be the sum of their reciprocals?
Explanation :
Suppose the numbers are P and Q
So, according to the question -
P + Q = 12
P * Q = 35
Sum of reciprocals of P and Q is = 1/P + 1/Q
= Q + P/PQ
= 12/35
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107) If the sum and reciprocal of a number is equal to 2, the number is
Explanation :
Suppose the number is a.
So, according to the question -
a + 1/a = 2
(a^2 + 1)/a = 2
a^2 + 1 = 2a
Or, a^2 + 1 -2a = 0
We can say that (a - 1)2 = 0
So, a =1
Hence the required number is 1, whose sum and reciprocal are equal to 2.
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108) If the ratio of two positive numbers is 7 : 9 and their product is 1575, then the greatest number is
Explanation :
Given ration 7 : 9
So, let the numbers be 7a and 9a. According to the question -
7a * 9a = 1575
63a² = 1575
a² = 1575/63
Or a² = 25
And a =5
So, the two numbers will be -
7a = 7 * 5 = 35
And 9a = 9 * 5 = 45
Hence, the greater number is 45 between the given numbers.
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109) The sum of two numbers is equal to the thrice of their difference. What will be the ratio between them?
Explanation :
Let the numbers be 'a' and 'b'. According to the question -
(a + b) = 3(a - b)
(a + b) = 3a - 3b
2a = 4b
a = 2b
So, a/b = 2 : 1
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110) Which of the following is equal to x^3?
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