Recent questions in Quantitative Aptitude

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81
If $\sin 3A = \cos (A – 26^{\circ}),$ where $3A$ is an acute angle then the value of $A$ is :$29^{\circ}$$31^{\circ}$$39^{\circ}$$23^{\circ}$
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83
Two numbers are less than a third number by $40 \%$ and $43 \%$ respectively. The percent by which the second number is less than the first is :$5$$6$$7$$10$
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84
If $(0.0256) \div 0.064 \times (0.4)^{8} = (0.4)^{x} \times 0.16,$ the value of $x$ is :$5$$6$$7$$4$
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85
In a right angled triangle, the circum-centre of the triangle lies:inside the triangle.outside the triangle.on one vertex.on the mid-point of the hypotenuse.
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87
A positive number when decreased by $4$ is equal to $21$ times the reciprocal of the number. The number(s) is/are :$3$$7$$3$ and $-7$$-3$ and $7$
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88
Select the correct combination of mathematical signs to replace $^{\ast}$ signs and to balance the following equation :$18 \ast 2 \ast 5 \ast 4 = 10$$\times \div +$$+ \ti...
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89
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91
The sum of the seven numbers is $254.$ The average of first three is $25$ and that of the last three is $44.$ The fourth number is :$40$$47$$45$$48$
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92
By selling $25$ kg of rice, a trader gains the selling price of $5$ kg of rice. The gain of the trader in $\%$ is :$12.5 \%$$20 \%$$25 \%$$33.3 \%$
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93
If $\sec \theta + \tan \theta = \sqrt{3},$ then the positive value of $\sin \theta$ is :$\frac{\sqrt{3}}{2}$$\frac{1}{2}$$\frac{1}{\sqrt{3}}$$\sqrt{3}$
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96
If the ratio of speed of doing work of three persons is $2:3:7,$ what is the ratio of time taken by these people to do the same amount of work ?$2 : 14 : 21$$21 : 14 : 6$...
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97
A $15 \; \text{km}$ long road can be made by $20$ men in $18$ days. What is the length of the road that can be made by $15$ men in $12$ days ?$6 \; \text{km}$$6.5 \; \tex...
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98
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99
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100
If $60 \%$ of $(x-y) = 30 \%$ of $(x+2y),$ then what percent of $x$ is $y?$$10 \%$$15 \%$$20 \%$$25 \%$
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101
The number lying between $900$ and $1000,$ which when divided by $38$ and $57$ leaves a remainder $21$ in each case, is :$912$$921$$933$$943$
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107
In a village the current birth rate per thousand is $55$ whereas corresponding death rate is $34$ per thousand. The net growth rate in terms of population increase will b...
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108
If an article is sold at $8 \%$ profit instead of $8 \%$ loss, it would have brought $\text{Rs. 12}$ more. Find the cost price of the article :$\text{Rs. 75}$$\text{Rs. 7...
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109
By selling $33$ meters of cloth, one gains the selling price of $11$ meters. Find the gain percent :$20 \%$$40 \%$$50 \%$$22 \%$
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110
Gold is $19$ times as heavy as water and copper $9$ times as heavy as water. In what ratio should the metals be mixed so that the mixture may be $15$ times as heavy as wa...
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111
What largest number of five digits is divisible by $99$ ?$99999$$99981$$99909$$99990$
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115
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116
Describe the shaded region :$\text{(A-B)}$$\text{(A-B)}’$$\text{A} \cdot \text{B}’$Both $\text{(A)}$ and $\text{(C)}$
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118
On increasing the price of TV sets by $30 \%$, their sale decreases by $20 \%$. What is the effect on the revenue receipts of the shop?$4 \%$ increase$4 \%$ decrease$8 \%...
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119
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120
The population of bacteria culture doubles every $2 \text{ min}$. Approximately, how many minutes will it take for the population to grow from $1000$ to $500,000$ bacteri...