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.
| 151. |
Let S1 be the plane figure consisting of the points (x, y) given by the inequalities |x – 1| ≤ 2 and |y + 3| ≤3. Let S2 be the plane figure given by the inequalities x – y ≥ – 2, y ≥ 1, and x ≤ 3. Let S be the union of S1 and S2. The area of S is, |
| A. | 26 |
| B. | 28 |
| C. | 32 |
| D. | 34 |
| Answer» D. 34 | |
| 152. |
In appreciation of the social improvements completed in a town, a wealthy philanthropist decided to gift Rs. 750 to each male senior citizen in the town and Rs. 1000 to each female senior citizen. Altogether, there were 300 senior citizens eligible for this gift. However, only 8/9th of the eligible men and 2/3rd of the eligible women claimed the gift. How much money (in Rupees) did the philanthropist give away in total? |
| A. | 1,50,000 |
| B. | 2,00,000 |
| C. | 1,75,000 |
| D. | 1,51,000 |
| Answer» C. 1,75,000 | |
| 153. |
Arrange the following three-dimensional objects in the descending order of their volumes:(i) A cuboid with dimensions 10 cm, 8 cm and 6 cm(ii) A cube of side 8 cm(iii) A cylinder with base radius 7 cm and height 7 cm(iv) A sphere of radius 7 cm |
| A. | (i), (ii), (iii), (iv) |
| B. | (ii), (i), (iv), (iii) |
| C. | (iii), (ii), (i), (iv) |
| D. | (iv), (iii), (ii), (i) |
| Answer» E. | |
| 154. |
Consider the following sentences:All benches are beds. No bed is a bulb. Some bulbs are lamps.Which of the following can be inferred?i. Some beds are lampsii. Some lamps are beds. |
| A. | Only i |
| B. | Only ii |
| C. | Both i and ii |
| D. | Neither i nor ii |
| Answer» E. | |
| 155. |
500 students are taking one or more courses out of Chemistry, Physics, and Mathematics. Registration records indicate course enrolment as follows: Chemistry (329), Physics (186), Mathematics (295), Chemistry and Physics (83), Chemistry and Mathematics (217), and Physics and Mathematics (63). How many students are taking all 3 subjects? |
| A. | 37 |
| B. | 43 |
| C. | 47 |
| D. | 53 |
| Answer» E. | |
| 156. |
A map shows the elevations of Darjeeling, Gangtok, Kalimpong, Pelling, and Siliguri. Kalimpong is at a lower elevation than Gangtok, Pelling is at a lower elevation than Gangtok. Pelling is at a higher elevation than Siliguri. Darjeeling is at a higher elevation than Gangtok.Which of the following statements can be inferred from the paragraph above?i. Pelling is at a higher elevation than Kalimpongii. Kalimpong is at a lower elevation than Darjeelingiii. Kalimpong is at a higher elevation than Siliguriiv. Siliguri is at a lower elevation than Gangtok |
| A. | Only ii |
| B. | Only ii and iii |
| C. | Only ii and iv |
| D. | Only iii and iv |
| Answer» D. Only iii and iv | |
| 157. |
From the time the front of a train enters a platform, it takes 25 seconds for the back of the train to leave the platform, while travelling at a constant speed of 54 km/h. At the same speed, it takes 14 seconds to pass a man running at 9 km/h in the same direction as the train. What is the length of the train and that of the platform in meters, respectively? |
| A. | 210 and 140 |
| B. | 162.5 and 187.5 |
| C. | 245 and 130 |
| D. | 175 and 200 |
| Answer» E. | |
| 158. |
P, Q, R and S are working on a project. Q can finish the task in 25 days, working alone for 12 hours a day. R can finish the task in 50 days, working alone for 12 hours per day. Q worked 12 hours a day but took sick leave in the beginning for two days. R worked 18 hours a day on all days. What is the ratio of work done by Q and R after 7 days from the start of the project? |
| A. | 10:11 |
| B. | 11:10 |
| C. | 20:21 |
| D. | 21:20 |
| Answer» D. 21:20 | |
| 159. |
Given a semicircle with O as the centre, as shown in the figure, the ratio \(\frac{{\overline {AC} + \overline {CB} }}{{\overline {AB} }}\) is _____, where \(\overline {AC} ,\;\overline {CB} \;\;and\;\;\overline {AB} \) are chords. |
| A. | \(\sqrt 2 \) |
| B. | \(\sqrt 3\) |
| C. | 2 |
| D. | 3 |
| Answer» B. \(\sqrt 3\) | |
| 160. |
If ‘relftaga’ means carefree, ‘otaga’ means careful and ‘fertaga’ means careless, which of the following could mean ‘aftercare’? |
| A. | zentaga |
| B. | tagafer |
| C. | tagazen |
| D. | relffer |
| Answer» D. relffer | |
| 161. |
Fatima starts from point P, goes North for 3 km, and then East for 4 km to reach point Q. She then turns to face point P and goes 15 km in that direction. She then goes North for 6 km. How far is the from point P, and in which direction should she go to reach point P? |
| A. | 8 km, East |
| B. | 12 km, North |
| C. | 6 km, East |
| D. | 10 km, North |
| Answer» B. 12 km, North | |
| 162. |
Given that a and b are integers and a + a2 b3 is odd, which one of the following statements is correct? |
| A. | a and b are both odd |
| B. | a and b are both even |
| C. | a is even and b is odd |
| D. | a is odd and b is even |
| Answer» E. | |
| 163. |
If f(x) = x2 for each x ϵ (-∞,∞), then \(\frac{{f(f\left( {f\left( x \right))} \right)}}{{f\left( x \right)}}\) is equal to ___ |
| A. | f(x) |
| B. | (f(x))2 |
| C. | (f(x))3 |
| D. | (f(x))4 |
| Answer» D. (f(x))4 | |
| 164. |
If Log (P) = (1/2) Log (Q) = (1/3) Log (R), then which of the following options is TRUE? |
| A. | P2 = Q3R2 |
| B. | Q2 = PR |
| C. | Q2 = R3P |
| D. | R = P2Q2 |
| Answer» C. Q2 = R3P | |
| 165. |
An e-mail password must contain three characters. The password has to contain one numeral from 0 to 9, one upper case and one lower case character from the English alphabet. How many distinct passwords are possible? |
| A. | 6,760 |
| B. | 13,520 |
| C. | 40,560 |
| D. | 1,05,456 |
| Answer» D. 1,05,456 | |
| 166. |
P, Q, R, S, T and U are seated around a circular table. R is seated two places to the right of Q. P is seated three places to the left of R. S is seated opposite U. If P and U now switch seats, which of the following must necessarily be true? |
| A. | P is immediately to the right of R |
| B. | T is immediately to the left of P |
| C. | T is immediately to the left of P or P is immediately to the right of Q |
| D. | U is immediately to the right of R or P is immediately to the left of T |
| Answer» D. U is immediately to the right of R or P is immediately to the left of T | |
| 167. |
Rahul, Murali, Srinivas and Arul are seated around a square table. Rahul is sitting to the left of Murali. Srinivas is sitting to the right of Arul. Which of the following pairs are seated opposite each other? |
| A. | Rahul and Murali |
| B. | Srinivas and Anil |
| C. | Srinivas and Murali |
| D. | Srinivas and Rahul |
| Answer» D. Srinivas and Rahul | |
| 168. |
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 travelled and the corresponding electricity consumption are 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. | |
| 169. |
An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head and T stands for tail, the following are the observations from the four trials:(1) HTHTHT (2) TTHHHT (3) HTTHHT (4) HHHT__ __.Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct? |
| A. | Two T will occur. |
| B. | One H and one T will occur. |
| C. | Two H will occur. |
| D. | One H will be followed by one T. |
| Answer» C. Two H will occur. | |
| 170. |
In a college, there are three student clubs. Sixty students are only in the Drama club, 80 students are only in the Dance club, 30 students are only in the Maths club, 40 students are in both Drama and Dance clubs, 12 students are in both Dance and Maths clubs, 7 students are in both Drama and Maths clubs, and 2 students are in all the clubs. If 75% of the students in the college are not in any of these clubs, then the total number of students in the college is ________. |
| A. | 1000 |
| B. | 975 |
| C. | 900 |
| D. | 225 |
| Answer» D. 225 | |
| 171. |
Functions F (a, b) and G (a, b) are defined as follows:F (a, b) = (a - b)2 and G (a, b) = |a - b|, where |x| represents the absolute value of x.What would be the value of G (F (1, 3), G (1, 3))? |
| A. | 2 |
| B. | 4 |
| C. | 6 |
| D. | 36 |
| Answer» B. 4 | |
| 172. |
p and q are positive integers and \(\frac{p}{q} + \frac{q}{p} = 3,\) then, \(\frac{p^2}{q^2} + \frac{q^2}{p^2} = \) |
| A. | 3 |
| B. | 7 |
| C. | 9 |
| D. | 11 |
| Answer» C. 9 | |
| 173. |
In the above figure, O is the center of the circle and, M and N lie on the circle.The area of the right triangle MON is 50 cm2.What is the area of the circle in cm2? |
| A. | 2π |
| B. | 100π |
| C. | 75π |
| D. | 50π |
| Answer» C. 75π | |
| 174. |
Four persons P, Q, R and S are to be seated in a row, all facing the same direction, but not necessarily in the same order. P and R cannot sit adjacent to each other. S should be seated to the right of Q. The number of distinct seating arrangements possible is: |
| A. | 2 |
| B. | 4 |
| C. | 6 |
| D. | 8 |
| Answer» D. 8 | |
| 175. |
A wire would enclose an area of 1936 m2, if it is bent into a square. The wire is cut into two pieces. The longer piece is thrice as long as the shorter piece. The long and the short pieces are bent into a square and a circle, respectively. Which of the following choices is closest to the sum of the areas enclosed by the two pieces in square meters? |
| A. | 1096 |
| B. | 1111 |
| C. | 1243 |
| D. | 2486 |
| Answer» D. 2486 | |
| 176. |
If x is real and | |
| A. | 2, 4 |
| B. | 2, 14 |
| C. | 4, 52 |
| D. | 14, 52 |
| Answer» E. | |
| 177. |
A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of chooses available to him. |
| A. | 140 |
| B. | 196 |
| C. | 280 |
| D. | 346 |
| Answer» C. 280 | |
| 178. |
If a and b are integers and a – b is even, which of the following must always be even? |
| A. | ab |
| B. | a2 + b2 + 1 |
| C. | a2 + b + 1 |
| D. | ab – b |
| Answer» E. | |
| 179. |
If IMHO = JNIP; IDK = JEL; and SO = TP, then IDC = ____. |
| A. | JDE |
| B. | JED |
| C. | JDC |
| D. | JCD |
| Answer» C. JDC | |
| 180. |
Find the odd one in the following group: ALRVX, EPVZB, ITZDF, OYEIK |
| A. | ALRVX |
| B. | EPVZB |
| C. | ITZDF |
| D. | OYEIK |
| Answer» E. | |
| 181. |
Consider five people – Mita, Ganga, Rekha, Lakshmi and Sana. Ganga is taller than both Rekha and Lakshmi. Lakshmi is taller than Sana. Mita is taller than Ganga. Which of the following conclusions are true?1. Lakshmi is taller than Rekha2. Rekha is shorter than Mita3. Rekha is taller than Sana4. Sana is shorter than Ganga |
| A. | 1 and 3 |
| B. | 3 only |
| C. | 2 and 4 |
| D. | 1 only |
| Answer» D. 1 only | |
| 182. |
A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m2 of area. What is the area of the original rectangle in square meters? |
| A. | 1125 |
| B. | 2250 |
| C. | 2924 |
| D. | 4500 |
| Answer» C. 2924 | |
| 183. |
In a certain code, AMCF is written as EQGJ and NKUF is written as ROYJ. How will DHLP be written in that code? |
| A. | RSTN |
| B. | TLPH |
| C. | HLPT |
| D. | XSVR |
| Answer» D. XSVR | |
| 184. |
M and N start from the same location. M travels 10 km East and then 10 km North-East. N travels 5 km South and then 4 km South-East. What is the shortest distance (in km) between M and N at the end of their travel? |
| A. | 18.60 |
| B. | 22.50 |
| C. | 20.61 |
| D. | 25.00 |
| Answer» D. 25.00 | |
| 185. |
If f(x) = 2x7 + 3x – 5, which of the following is a factor of f(x)? |
| A. | (x3 + 8) |
| B. | (x - 1) |
| C. | (2x - 5) |
| D. | (x + 1) |
| Answer» C. (2x - 5) | |
| 186. |
A designer uses marbles of four different colours for his designs. The cost of each marble is the same, irrespective of the colour. The table below shows the percentage of marbles of each colour used in the current design. The cost of each marble increased by 25%. Therefore, the designer decided to reduce equal numbers of marbles of each colour to keep the total cost unchanged. What is the percentage of blue marbles in the new design?BlueBlackRedYellow40%25%20%15% |
| A. | 35.75 |
| B. | 40.25 |
| C. | 43.75 |
| D. | 46.25 |
| Answer» D. 46.25 | |
| 187. |
In a triangle \(PQR\), \(PS\) is the angle bisector of \(\angle QPR\) and \(\angle QPS = 60\). What is thelength of \(PS\)? |
| A. | \(\frac{{\left( {q + r} \right)}}{{qr}}\) |
| B. | \(\frac{{qr}}{{\left( {q + r} \right)}}\) |
| C. | \(\sqrt {\left( {{q^2} + {r^r}} \right)}\) |
| D. | \(\frac{{{{\left( {q + r} \right)}^2}}}{{qr}}\) |
| Answer» C. \(\sqrt {\left( {{q^2} + {r^r}} \right)}\) | |
| 188. |
Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to be held to complete the league round of matches? |
| A. | 20 |
| B. | 10 |
| C. | 8 |
| D. | 5 |
| Answer» C. 8 | |
| 189. |
In a company with 100 employees, 45 earn Rs.20, 000 per month, 25 earn Rs.30, 000, 20 and earn Rs.40, 000, 8 earn rs.60, 000, and 2 earn Rs.150, 000. The median of the salaries is |
| A. | Rs.20, 000 |
| B. | Rs.30, 000 |
| C. | Rs.32, 300 |
| D. | Rs.40, 000 |
| Answer» C. Rs.32, 300 | |
| 190. |
Population of state X increased by x% and the population of state Y increased by y% from 2001 to 2011. Assume that x is greater than y. Let P be the ratio of the population of state X to state Y in a given year. The percentage increase in P from 2001 to 2011 is _______. |
| A. | \(\frac{x}{y}\) |
| B. | x – y |
| C. | \(\frac{{100\left( {x - y} \right)}}{{100 + x}}\) |
| D. | \(\frac{{100\left( {x - y} \right)}}{{100 + y}}\) |
| Answer» E. | |
| 191. |
If 0, 1, 2, ……., 7, 8, 9 are coded as O, P, Q, … V, W, X hen 45 will be coded as |
| A. | TS |
| B. | ST |
| C. | SS |
| D. | SU |
| Answer» C. SS | |
| 192. |
. If x + 2y = 30, then \((\frac{2y}{5} + \frac{x}{3}) +(\frac{x}{5} + \frac{2y}{3})\) will be equal |
| A. | 8 |
| B. | 16 |
| C. | 18 |
| D. | 20 |
| Answer» C. 18 | |
| 193. |
For integers a, b and c, what would be the minimum and maximum values respectively of a + b + c if log |a| + log |b| + log |c| = 0? |
| A. | -3 and 3 |
| B. | -1 and 1 |
| C. | -1 and 3 |
| D. | 1 and 3 |
| Answer» B. -1 and 1 | |
| 194. |
A cube of side 1 unit is placed in such a way that the origin coincides with one of its top vertices and the three axes run along three of its edges. What are the co-ordinates of the vertex which is diagonally opposite to the vertex whose coordinates are (1, 0, 1)? |
| A. | (0, 0, 0) |
| B. | (0, -1, 0) |
| C. | (0, 1, 0) |
| D. | (1, 1, 1) |
| Answer» C. (0, 1, 0) | |
| 195. |
In the graph below, the concentration of a particular pollutant in a lake is plotted over (alternate) days of a month in winter (average temperature 10 °C) and a month in summer (average temperature 30 °C)Consider the following statements based on the data shown above:i) Over the given months, the difference between the maximum and the minimum pollutant concentrations is the same in both winter and summer.ii) There are at least four days in the winter month such that the pollutant concentration on those days are within 1 ppm of the pollutant concentrations on the corresponding days in the winter month.Which one of the following options is correct? |
| A. | Only i |
| B. | Only ii |
| C. | Both i and ii |
| D. | Neither I nor ii |
| Answer» C. Both i and ii | |
| 196. |
A flat is shared by four first-year undergraduate students. They agreed to allow the oldest of them to enjoy some extra space in the flat. Manu is two months older than Sravan, who is three months younger than Trideep. Pavan is one month older than Sravan. Who should occupy the extra space in the flat? |
| A. | Manu |
| B. | Sravan |
| C. | Trideep |
| D. | Pavan |
| Answer» D. Pavan | |
| 197. |
Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram’s selection is 1/6 and that of Ramesh is 1/8. What is the probability that only one of them will be selected? |
| A. | 47/48 |
| B. | 1/4 |
| C. | 13/48 |
| D. | 35/48 |
| Answer» C. 13/48 | |
| 198. |
a, b, c are real numbers. The quadratic equation ax2 – bx + c = 0 has equal roots, which is β, then |
| A. | β = b/a |
| B. | β2 = ac |
| C. | β3 = bc/(2a2) |
| D. | b2 ≠ 4ac |
| Answer» D. b2 ≠ 4ac | |
| 199. |
A square has sides 5 cm smaller than the sides of a second square. The area of the larger square is four times the area of the smaller square. The side of the larger square is ______ cm. |
| A. | 18.50 |
| B. | 15.10 |
| C. | 10.00 |
| D. | 8.50 |
| Answer» D. 8.50 | |
| 200. |
One percent of the people of country X are taller than 6 ft. Two percent of the people of country Y are taller than 6 ft. There are thrice as many people in country X as in country Y. Taking both countries together, what is the percentage of people taller than 6 ft? |
| A. | 3.0 |
| B. | 2.5 |
| C. | 1.5 |
| D. | 1.25 |
| Answer» E. | |