101). The sum of the digits of a three digit number is 16. If the ten's digit of the number is 3 times the unit's digit and the unit's digit is one-fourth of the hundredth digit, then what is the number ?
A). 446 |
B). 561 |
C). 682 |
D). 862 |
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102). If \( \Large x^{11} = y^{0} \) and x = 2y, then y is equal to ----
A). \( \Large \frac{1}{2} \) |
B). 1 |
C). -1 |
D). -2 |
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103). Pipes A and B can fill a tank in 5 and 6 h respectively. Pipe C can empty it in 12 h. The tank is half full. All the three pipes are in operation simultaneously. After how much lime the tank will be full?
A). \( \Large 3 \frac{9}{17} h \) |
B). 11 h |
C). \( \Large 2 \frac{8}{11} h \) |
D). \( \Large 1 \frac{13}{17} h \) |
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104). In climbing a 21 m long round pole, a monkey climbs 6 m in the first minute and slips 3 m in the next minute. What time (in minutes) the monkey would take to reach the top of the pole?
A). 11 |
B). 14 |
C). \( \Large 14 \frac{2}{3} \) |
D). 9 |
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105). The solution of the equation \( \Large \sqrt{25 - x^{2}} = x - 1 \) are
A). x = 3 and x = 4 |
B). x = 5 and x = 1 |
C). x = -3 and x = 4 |
D). x = 4 and x \( \Large \neq \) -3 |
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106). Which one of the following is a factor of \( \Large x^{3} - 19x + 30 \) ?
A). x - 2 |
B). x + 2 |
C). x - 1 |
D). x + 1 |
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107). The value of \( \Large (\frac{1}{x^{2}}) + (\frac{1}{y^{2}}) \), where \( \Large x = 2 + \sqrt{3} \) and \( \Large y = 2 - \sqrt{3} \), is
A). 14 |
B). 12 |
C). 10 |
D). 15 |
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108). If x : y : z :: 1 : 3 : 5, then the value \( \Large \frac{\sqrt{x^{2} + 7y^{2} + 9z^{2}}}{x} \) is
A). 7 |
B). 17 |
C). 13 |
D). 1 |
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109). If (x + 1) is factor of \( \Large 2x^{3} - ax^{2} - (2a - 3) x + 2 \), then the value of 'a' is
A). 3 |
B). 2 |
C). \( \Large \frac{3}{2} \) |
D). \( \Large \frac{1}{2} \) |
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110). In a journey for each 10 km of next journey the fare of a taxi is increased by Rs. 10. If for the first 10 km the fare is Rs. 50, what total fare would be paid for a journey of 80 km ?
A). Rs. 670 |
B). Rs. 680 |
C). Rs. 690 |
D). Rs. 580 |
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