MCQOPTIONS
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MCQOPTIONS
This section includes 207 Mcqs, each offering curated multiple-choice questions to sharpen your BPCL knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
5 skilled workers can build a wall in 20days; 8 semi-skilled workers can build awall in 25 days; 10 unskilled workers can build a wall in 30days. If a team has 2skilled, 6 semi-skilled and 5 unskilled workers, how long will it take to build thewall? |
| A. | 20 days |
| B. | 18 days |
| C. | 16 days |
| D. | 15 days |
| Answer» E. | |
| 52. |
Hema’s age is 5 years more than twice of Hari’s age. Suresh’s age is 13 years less than 10 times Hari’s age. If Suresh is 3 times as old as Hema, how old is Hema? |
| A. | 14 |
| B. | 17 |
| C. | 18 |
| D. | 19 |
| Answer» E. | |
| 53. |
A five digit number is formed using the digits 1,3,5,7 and 9 without repeating any of them. What is the sum of all such possible five digit numbers? |
| A. | 6666660 |
| B. | 6666600 |
| C. | 6666666 |
| D. | 6666606 |
| Answer» C. 6666666 | |
| 54. |
Fiscal deficit was 4% of the GDP in 2015 and that increased to 5% in 2016. If the GDP increased by 10% from 2015 to 2016, the percentage increase in the actual fiscal deficit is ___. |
| A. | 37.5 |
| B. | 35.7 |
| C. | 25 |
| D. | 10 |
| Answer» B. 35.7 | |
| 55. |
A function f(x) is linear and has a value of 29 at x = – 2 and 39 at x = 3. Find its value at x = 5. |
| A. | 59 |
| B. | 45 |
| C. | 43 |
| D. | 35 |
| Answer» D. 35 | |
| 56. |
If pqr ≠ 0 and \({{p}^{-x}}=\frac{1}{q}~,~{{q}^{-y}}=\frac{1}{r}\text{ }\!\!~\!\!\text{ },\text{ }\!\!~\!\!\text{ }{{r}^{-z}}=\frac{1}{p}\text{ }\!\!~\!\!\text{ },\text{ }\!\!~\!\!\text{ }\)What is the value of the product of xyz? |
| A. | -1 |
| B. | \(\frac{1}{pqr}\) |
| C. | 1 |
| D. | pqr |
| Answer» D. pqr | |
| 57. |
Find the sum of the expression\(\frac{1}{{\sqrt 1 + \sqrt 2 }} + \frac{1}{{ {\sqrt2 + \sqrt 3 } }} + \frac{1}{{\sqrt 3 + \sqrt 4 }} + \ldots + \frac{1}{{\sqrt {80} + \sqrt {81} }}\) |
| A. | 7 |
| B. | 8 |
| C. | 9 |
| D. | 10 |
| Answer» C. 9 | |
| 58. |
Budhan covers a distance of 19 km in 2 hours by cycling one fourth of the time and walking the rest. The next day he cycles (at the same speed as before) for half the time and walks the rest (at the same speed as before) and covers 26 km in 2 hours. The speed in km/h at which Budhan walks is |
| A. | 1 |
| B. | 4 |
| C. | 5 |
| D. | 6 |
| Answer» E. | |
| 59. |
Find the smallest number y such that y x 162 is a perfect cube. |
| A. | 24 |
| B. | 27 |
| C. | 32 |
| D. | 36 |
| Answer» E. | |
| 60. |
An engineer measures THREE quantities X, Y and Z in an experiment. She finds that they follow a relationship that is represented in the figure below: (the product of X and Y linearly varies with Z)Then, which of the following statements is FALSE? |
| A. | For fixed Z; X is proportional to Y |
| B. | For fixed Y; X is proportional to Z |
| C. | For fixed X; Z is proportional to Y |
| D. | XY/Z is constant |
| Answer» B. For fixed Y; X is proportional to Z | |
| 61. |
It takes 10 s and 15 s, respectively, for two trains travelling at different constant speeds to completely pass a telegraph post. The length of the first train is 120 m and that of the second train is 150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is ____________. |
| A. | 2 |
| B. | 10 |
| C. | 12 |
| D. | 22 |
| Answer» B. 10 | |
| 62. |
A retaining wall with measurements 30 m × 12 m × 6 m was constructed with bricks of dimensions 8 cm × 6 cm × 6 cm. If 60% of the wall consists of bricks, the number of bricks used for the construction is _______ lakhs. |
| A. | 30 |
| B. | 40 |
| C. | 45 |
| D. | 75 |
| Answer» D. 75 | |
| 63. |
Four cards lie on a table. Each card has a number printed on one side and a colour on the other. The faces visible on the cards are 2, 3, red, and blue.Proposition: If a card has an even value on one side, then its opposite face is red.The cards which MUST be turned over to verify the above proposition are |
| A. | 2, red |
| B. | 2, 3, red |
| C. | 2, blue |
| D. | 2, red, blue |
| Answer» D. 2, red, blue | |
| 64. |
Four branches of a company are located at M,N,O, and P. M is north of N at a distance of 4km; P is south of O at a distance of 2km; N is southeast of O by 1km. What is the distance between M and P in km? |
| A. | 5.34 |
| B. | 6.74 |
| C. | 28.5 |
| D. | 45.49 |
| Answer» B. 6.74 | |
| 65. |
A window is made up of a square portion and an equilateral triangle portion above it. The base of the triangular portion coincides with the upper side of the square. If the perimeter of the window is 6 m, the area of the window in m2 is ___________. |
| A. | 1.43 |
| B. | 2.06 |
| C. | 2.68 |
| D. | 2.88 |
| Answer» C. 2.68 | |
| 66. |
Given \(Set\;A = \left\{ {2,\;3,\;4,\;5} \right\}\) and Set \(B = \left\{ {11,\;12,\;13,\;14,\;15} \right\}\), two numbers are randomly selected, one from each set. What is the probability that the sum of the two numbers equals 16? |
| A. | 0.2 |
| B. | 0.25 |
| C. | 0.3 |
| D. | 0.33 |
| Answer» B. 0.25 | |
| 67. |
Consider a function \(f\left( x \right) = 1-\left| x \right|\) in \(- 1 \le x \le 1\). The value of \(x\) at which the function attains a maximum, and the maximum value of the function are: |
| A. | 0, –1 |
| B. | –1, 0 |
| C. | 0,1 |
| D. | –1, 2 |
| Answer» D. –1, 2 | |
| 68. |
Pick the odd one out in the following:13, 23, 33, 43, 53 |
| A. | 23 |
| B. | 33 |
| C. | 43 |
| D. | 53 |
| Answer» C. 43 | |
| 69. |
Let the sum of the squares of successive integers 0, 1, 2, ..., n - 1, n be denoted by S. Let the sum of the cubes of the same integers be denoted by C. It is desirable that C / S, as n increases in steps of 'unity' from 'zero', is given by the series:\(\frac{0}{1},\frac{3}{3},\frac{9}{5},\frac{{18}}{7},\frac{{30}}{9},\) ...(for n = 0, 1, 2, 3, 4, ...).What will this ratio be for n = 8? |
| A. | 108 / 17 |
| B. | 103 / 17 |
| C. | 103 / 15 |
| D. | 100 / 15 |
| Answer» B. 103 / 17 | |
| 70. |
Industrial consumption of power doubled from 2000-2001 to 2010-2011. Find the annual rate of increase in percent assuming it to be uniform over the years. |
| A. | 5.6 |
| B. | 7.2 |
| C. | 10 |
| D. | 12.2 |
| Answer» C. 10 | |
| 71. |
A tourist covers half of his journey by train at 60 km/h, half of the remainder by bus at 30 km/h and the rest by cycle at 10 km/h. The average of the tourist in km/h during his entire journey is |
| A. | 36 |
| B. | 30 |
| C. | 24 |
| D. | 18 |
| Answer» D. 18 | |
| 72. |
iven two sets X = {1, 2, 3} and Y = {2, 3, 4}, we construct a set Z of all possible fractions where the numerators belong to set X and the denominators belong to set Y. The product of elements having minimum and maximum values in the set Z is ____. |
| A. | 1/12 |
| B. | 1/8 |
| C. | 1/6 |
| D. | 3/8 |
| Answer» E. | |
| 73. |
Pick the odd one from the following options. |
| A. | CADBE |
| B. | JHKIL |
| C. | XVYWZ |
| D. | ONPMQ |
| Answer» E. | |
| 74. |
An air pressure contour line joins locations in a region having the same atmospheric pressure. The following is an air pressure contour plot of a geographical region. Contour lines are shown at 0.05 bar intervals in this plotIf the possibility of a thunderstorm is given by how fast air pressure rises or drops over a region, which of the following regions is most likely to have a thunderstorm? |
| A. | P |
| B. | Q |
| C. | R |
| D. | S |
| Answer» D. S | |
| 75. |
A cab was involved in a hit and run accident at night. You are given the following data about the cabs in the city and the accident.(i) 85% of cabs in the city are green and the renaming cabs are blue.(ii) A witness identified the cab involved in the accident as blue.(iii) It is known that a witness can correctly identify the cab color only 80% of the time.Which of the following options is closest to the probability that the accident was caused by a blue cab? |
| A. | 12% |
| B. | 15% |
| C. | 41% |
| D. | 80% |
| Answer» D. 80% | |
| 76. |
A straight line is fit to a data set (ln x, y). This line intercepts the abscissa at ln x = 0.1 and has a slope of −0.02. What is the value of y at x = 5 from the fit? |
| A. | −0.030 |
| B. | −0.014 |
| C. | 0.014 |
| D. | 0.03 |
| Answer» B. −0.014 | |
| 77. |
In a quadratic function, the value of the product of the roots (α, β) is 4. Find the value of\(\frac{{{\alpha ^n} + {\beta ^n}}}{{{a^{ - n}} + {\beta ^{ - n}}}}\) |
| A. | \({n^4}\) |
| B. | \({4^n}\) |
| C. | \({2^{2n - 1}}\) |
| D. | \({4^{n - 1}}\) |
| Answer» C. \({2^{2n - 1}}\) | |
| 78. |
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at 25 m intervals in this plot.The path from P to Q is best described by |
| A. | Up-Down-Up-Down |
| B. | Down-Up-Down-Up |
| C. | Down-Up-Down |
| D. | Up-Down-Up |
| Answer» D. Up-Down-Up | |
| 79. |
A circle with center O is shown in the figure. A rectangle PQRS of the maximum possible area is inscribed in the circle. If the radius of the circle is a, then the area of the shaded portion is _______. |
| A. | πa2 – a2 |
| B. | πa2 - √2a2 |
| C. | πa2 – 2a2 |
| D. | πa2 – 3a2 |
| Answer» D. πa2 – 3a2 | |
| 80. |
A person moving through a tuberculosis prone zone has a 50% probability of becoming infected. However, only 30% of infected people develop the disease. What percentage of people moving through a tuberculosis prone zone remains infected but do not show symptoms of disease? |
| A. | 15 |
| B. | 33 |
| C. | 35 |
| D. | 37 |
| Answer» D. 37 | |
| 81. |
It is quarter past three in your watch. The angle between the hour hand and the minute hand is |
| A. | 0° |
| B. | 7.5° |
| C. | 15° |
| D. | 22.5° |
| Answer» C. 15° | |
| 82. |
If the radius of a right circular cone is increased by 50%, its volume increases by |
| A. | 75% |
| B. | 100% |
| C. | 125% |
| D. | 237.5% |
| Answer» D. 237.5% | |
| 83. |
If P = 3, R = 27, T = 243, then Q + S = _______. |
| A. | 40 |
| B. | 80 |
| C. | 90 |
| D. | 110 |
| Answer» D. 110 | |
| 84. |
P, Q, R, and S are to be uniquely coded using α and β. If P is coded as αα and Q and αβ, then R and S, respectively, can be coded as |
| A. | βα and αβ |
| B. | ββ and αα |
| C. | αβ and β |
| D. | βα and ββ |
| Answer» E. | |
| 85. |
In a process, the number of cycles to failure decreases exponentially with an increase in load. At a load of 80 units, it takes 100 cycles for failure. When the load is halved, it takes 10000 cycles for failure. The load for which the failure will happen in 5000 cycles is ________. |
| A. | 40 |
| B. | 46.02 |
| C. | 60.01 |
| D. | 92.02 |
| Answer» C. 60.01 | |
| 86. |
An electric bus has onboard instruments that report the total electricity consumed since the start of the trip as well as the total distance covered. During a single day of operation, the bus travels on stretches M, N, O, and P, in that order. The cumulative distances traveled and the corresponding electricity consumption is shown in the table below.StretchCumulative distance(km)Electricity used (kWh)M2012N4525O7545P10057The stretch where the electricity consumption per km is minimum is |
| A. | M |
| B. | N |
| C. | O |
| D. | P |
| Answer» E. | |
| 87. |
If \({\log _{\rm{x}}}\left( {\frac{5}{7}} \right) = - \frac{1}{3}\), then the value of x is |
| A. | 343 / 125 |
| B. | 125 / 343 |
| C. | -25 / 49 |
| D. | -49 /25 |
| Answer» B. 125 / 343 | |
| 88. |
If \({{\rm{a}}^2}{\rm{\;}} + {\rm{\;}}{{\rm{b}}^2}{\rm{\;}} + {\rm{\;}}{{\rm{c}}^2}{\rm{\;}} = {\rm{\;}}1\), then \({\rm{ab\;}} + {\rm{\;bc\;}} + {\rm{\;ac}}\) lies in the interval |
| A. | \(\left[ {1,\frac{2}{3}} \right]\) |
| B. | \(\left[ { - \frac{1}{2},{\rm{\;}}1} \right]\) |
| C. | \(\left[ { - 1,\frac{1}{2}} \right]\) |
| D. | \(\left[ {2,{\rm{\;}} - 4} \right]\) |
| Answer» C. \(\left[ { - 1,\frac{1}{2}} \right]\) | |
| 89. |
Choose the most appropriate equation for the function drawn as a thick line, in the plot below. |
| A. | x = y - |y| |
| B. | x = - (y - |y|) |
| C. | x = y + |y| |
| D. | x = - (y + |y|) |
| Answer» C. x = y + |y| | |
| 90. |
Choose the correct expression for f(x) given in the graph. |
| A. | \(f\left( x \right) = 1 - \left| {x - 1} \right|\) |
| B. | \(f\left( x \right) = 1 + \left| {x - 1} \right|\) |
| C. | \(f\left( x \right) = 2 - \left| {x - 1} \right|\) |
| D. | \(f\left( x \right) = 2 + \left| {x - 1} \right|\) |
| Answer» D. \(f\left( x \right) = 2 + \left| {x - 1} \right|\) | |
| 91. |
Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the book at the same time. After how many hours is the number of pages remaining to be read by Ananth, twice that the number of pages remaining to read by Bharath? Assume Ananth and Bharath read all the pages with constant pace. |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» D. 4 | |
| 92. |
A transporter receives the same number of orders each day. Currently, he has some pending orders (backlog) to be shipped. If he uses 7 trucks, then at the end of the 4th day he can clear all the orders. Alternatively, if he uses only 3 trucks, then all the orders are cleared at the end of the 10th day. What is the minimum number of trucks required so that there will be no pending order at the end of the 5th day? |
| A. | 4 |
| B. | 5 |
| C. | 6 |
| D. | 7 |
| Answer» D. 7 | |
| 93. |
Consider the following three statements:(i) Some roses are red.(ii) All red flowers fade quickly.(iii) Some roses fade quickly.Which of the following statements can be logically inferred from the above statements? |
| A. | If (i) is true and (ii) is false, then (iii) is false. |
| B. | If (i) is true and (ii) is false, then (iii) is true. |
| C. | If (i) and (ii) are true, then (iii) is true. |
| D. | If (i) and (ii) are false, then (iii) is false. |
| Answer» D. If (i) and (ii) are false, then (iii) is false. | |
| 94. |
If x>y>1, which of the following must be true?(i) In x > In y(ii) ex > ey(iii) y2 > x2(iv) cos x > cos y |
| A. | (i) and (ii) |
| B. | (i) and (iii) |
| C. | (iii) and (iv) |
| D. | (ii) and (iv) |
| Answer» B. (i) and (iii) | |
| 95. |
In manufacturing industries, the loss is usually taken to be proportional to the square of the deviation from a target. If the loss is Rs. 4900 for a deviation of 7 units, what would be the loss in Rupees for a deviation of 4 units from the target? |
| A. | 400 |
| B. | 1200 |
| C. | 1600 |
| D. | 2800 |
| Answer» D. 2800 | |
| 96. |
On a horizontal ground, the base of a straight ladder is 6 m away from the base of a vertical pole. The ladder makes an angle of 45° to the horizontal. If the ladder is resting at a point located at one-fifth of the height of the pole from the bottom, the height of the pole is ________ meters. |
| A. | 15 |
| B. | 25 |
| C. | 30 |
| D. | 35 |
| Answer» D. 35 | |
| 97. |
A six-sided unbiased die with four green faces and two red faces is rolled seven times. Which of the following combinations is the most likely outcome of the experiment? |
| A. | Three green faces and four red faces. |
| B. | Four green faces and three red faces. |
| C. | Five green faces and two red faces. |
| D. | Six green faces and one red face. |
| Answer» D. Six green faces and one red face. | |
| 98. |
Mohan, the manager, wants his four workers to work in pairs. No pair should work for more than 5 hours. Ram and John have worked together for 5 hours. Krishna and Amir have worked as a team for 2 hours. Krishna does not want to work with Ram. Whom should Mohan allot to work with John, if he wants all the workers to continue working? |
| A. | Amir |
| B. | Krishna |
| C. | Ram |
| D. | None of the three |
| Answer» C. Ram | |
| 99. |
Given below are two statements 1 and 2, and two conclusions I and II.Statement 1. All bacteria are microorganisms.Statement 2. All pathogens are microorganismsConclusion I: Some pathogens are bacteriaConclusion II: All pathogens are not bacteria.Based on the above statements and conclusions, which one of the following options is logically CORRECT? |
| A. | Neither conclusion I nor II is correct. |
| B. | Only conclusion I is correct |
| C. | Either conclusion I or II is correct. |
| D. | Only conclusion II is correct |
| Answer» B. Only conclusion I is correct | |
| 100. |
If y = 5x2 + 3, then the tangent at x = 0, y = 3 |
| A. | passes through x = 0, y = 0 |
| B. | has a slope of +1 |
| C. | is parallel to the x-axis |
| D. | has a slope of −1 |
| Answer» D. has a slope of −1 | |