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.
| 1. |
If x2 + x − 1 = 0 what is the value of \({x^4} + \frac{1}{{{x^4}}}?\) |
| A. | 1 |
| B. | 5 |
| C. | 7 |
| D. | 9 |
| Answer» D. 9 | |
| 2. |
In a 2 × 4 rectangle grid shown below, each cell is a rectangle. How many rectangles can be observed in the grid? |
| A. | 21 |
| B. | 27 |
| C. | 30 |
| D. | 36 |
| Answer» D. 36 | |
| 3. |
Mola is a digital platform for taxis in a city. It offers three types of rides – Pool, Mini, and Prime. The table below presents the number of rides for the past four months. The platform earns one US dollar per ride. What is the percentage share of revenue contributed by Prime to the total revenues of Mola, for the entire duration?TypeMonthJanuaryFebruaryMarchAprilPool170320215190Mini11022018070Prime75180 12090 |
| A. | 38.74 |
| B. | 23.97 |
| C. | 25.86 |
| D. | 16.24 |
| Answer» C. 25.86 | |
| 4. |
ItemsCost Rs.Profit %Marked Price Rs.P5,400---5,860Q---2510,000Details of prices of two items P and Q are presented in the above table. The ratio of cost of item P to cost of item Q is 3 ∶ 4. Discount is calculated as the difference between the marked price and the selling price. The profit percentage is calculated as the ratio of the difference between selling price and cost, to the cost(profit % = \(\frac{{Selling \ price - Cost}}{{Cost}}\)× 100).The discount on item Q, as a percentage of its marked price, is ______ |
| A. | 25 |
| B. | 12.5 |
| C. | 10 |
| D. | 5 |
| Answer» D. 5 | |
| 5. |
Consider a sequence of numbers a1, a2, a3, ….an where \({a_n} = \frac{1}{n} - \frac{1}{{n + 2}},\) for each integer (n > 0). What is the sum of the first 50 terms? |
| A. | \(\left( {1 + \frac{1}{2}} \right) - \frac{1}{{50}}\) |
| B. | \(\left( {1 + \frac{1}{2}} \right) + \frac{1}{{50}}\) |
| C. | \(\left( {1 + \frac{1}{2}} \right) - \left( {\frac{1}{{51}} + \frac{1}{{52}}} \right)\) |
| D. | \(1 - \left( {\frac{1}{{51}} + \frac{1}{{52}}} \right)\) |
| Answer» D. \(1 - \left( {\frac{1}{{51}} + \frac{1}{{52}}} \right)\) | |
| 6. |
If \({q^{ - a}} = \frac{1}{r}\) and \({r^{ - b}} = \frac{1}{s}\) and \({s^{ - c}} = \frac{1}{q}\), the value of abc is __ |
| A. | (rqs)-1 |
| B. | 0 |
| C. | 1 |
| D. | r + q + s |
| Answer» D. r + q + s | |
| 7. |
Four people are standing in a line facing you. They are Rahul, Mathew, Seema, and Lohit. One is an engineer, one is a doctor, one a teacher, and another a dancer. You are told that:Mathew is not standing next to SeemaThere are two people standing between Lohit and the engineerRahul is not a doctorThe teacher and the dancer are standing next to each otherSeema is turning to her right to speak to the doctor standing next to her Who among them is an engineer? |
| A. | Seema |
| B. | Lohit |
| C. | Rahul |
| D. | Mathew |
| Answer» E. | |
| 8. |
If ⊕ ÷ ⊙ = 2; ⊕ ÷ Δ = 3; ⊙ + Δ = 5; Δ × ⊗ = 10, Then the value of (⊗ - ⊕)2, is |
| A. | 0 |
| B. | 1 |
| C. | 4 |
| D. | 16 |
| Answer» C. 4 | |
| 9. |
For what value of k given below is \(\frac{{{{\left( {k + 2} \right)}^2}}}{{k - 3}}\) an integer? |
| A. | 4, 8, 18 |
| B. | 4, 10, 16 |
| C. | 4, 8, 28 |
| D. | 8, 26, 28 |
| Answer» D. 8, 26, 28 | |
| 10. |
1200 men and 500 women can build a bridge in 2 weeks. 900 men and 250 women will take 3 weeks to build the same bridge. How many men will be needed to build the bridge in one week? |
| A. | 3000 |
| B. | 3300 |
| C. | 3600 |
| D. | 3900 |
| Answer» D. 3900 | |
| 11. |
Define [x] as the greatest integer less than or equal to x, for each x ϵ (-∞, ∞). If y = [x], then area under y for x ϵ [1,4] is |
| A. | 1 |
| B. | 3 |
| C. | 4 |
| D. | 6 |
| Answer» E. | |
| 12. |
A three-member committee has to be formed from a group of 9 people. How many such distinct committees can be formed? |
| A. | 27 |
| B. | 72 |
| C. | 81 |
| D. | 84 |
| Answer» E. | |
| 13. |
Consider the following statements relating to the level of poker play of four players P, Q, R and S.I. P always beats QII. R always beats SIII. S loses to P only sometimesIV. R always loses to QWhich of the following can be logically inferred from the above statements?(i) P is likely to beat all the three other players(ii) S is the absolute worst player in the set |
| A. | (i) only |
| B. | (ii) only |
| C. | (i) and (ii) |
| D. | neither (i) nor (ii) |
| Answer» E. | |
| 14. |
A person divided an amount of Rs. 100,000 into two parts and invested in two different schemes. In one he got 10% profit and in the other he got 12%. If the profit percentages are interchanged with these investments he would have got Rs.120 less. Find the ratio between his investments in the two schemes. |
| A. | 9 : 16 |
| B. | 11 : 14 |
| C. | 37 : 63 |
| D. | 47 : 53 |
| Answer» E. | |
| 15. |
Based on the given statements, select the most appropriate option to solve the givenquestion. What will be the total weight of 10 poles each of same weight?Statements:(I) One fourth of the weight of a pole is 5Kg(II) The total weight of these poles is 160kg more than the total weight of two poles. |
| A. | Statement I alone is not sufficient. |
| B. | Statement II alone is not sufficient. |
| C. | Either I or II alone is sufficient. |
| D. | Both statement I and II together are not sufficient. |
| Answer» D. Both statement I and II together are not sufficient. | |
| 16. |
From which zone was the total number of candidates who qualified the test, the second highest in the year? |
| A. | P |
| B. | Q |
| C. | R |
| D. | T |
| Answer» E. | |
| 17. |
A superadditive function f(⋅) satisfies the following property:\(f\left( {{x_1} + {x_2}} \right) \ge f\left( {{x_1}} \right) + f\left( {{x_2}} \right)\)Which of the following functions is a superadditive function for x > 1? |
| A. | ex |
| B. | √x |
| C. | 1/x |
| D. | e-x |
| Answer» B. √x | |
| 18. |
If \((x- \frac{1}{2})^2 -(x-\frac{3}{2})^2=x + 2,\) then the value of x is: |
| A. | 4 |
| B. | 6 |
| C. | 2 |
| D. | 8 |
| Answer» B. 6 | |
| 19. |
A 1.5 m tall person is standing at a distance of 3 m from a lamp post. The light from the lamp at the top of the post casts her shadow. The length of the shadow is twice her height. What is the height of the lamp post in meters? |
| A. | 1.5 |
| B. | 3 |
| C. | 4.5 |
| D. | 6 |
| Answer» C. 4.5 | |
| 20. |
P, Q, R, and S are four types of dangerous microbes recently found in a human habitat. The area of each circle with its diameter printed in brackets represents the growth of a single microbe surviving human immunity system within 24 hours of entering the body. The danger to human beings varies proportionately with the toxicity, potency, and growth attributed to a microbe shown in the figure below. A pharmaceutical company is contemplating the development of a vaccine against the most dangerous microbe. Which microbe should the company target in its first attempt? |
| A. | P |
| B. | Q |
| C. | R |
| D. | S |
| Answer» E. | |
| 21. |
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 25m intervals in this plot. If in a flood, the water level rises to 525m. Which of the villages P, Q, R, S, T get submerged? |
| A. | P, Q |
| B. | P, Q, T |
| C. | R, S, T |
| D. | Q, R, S |
| Answer» D. Q, R, S | |
| 22. |
Insert seven numbers between 2 and 34, such that the resulting sequence including 2 and 34 is an arithmetic progression. The sum of these inserted seven numbers is. |
| A. | 120 |
| B. | 124 |
| C. | 126 |
| D. | 130 |
| Answer» D. 130 | |
| 23. |
Arun, Gulab, Neel and Shweta must choose one shirt each from a pile of four shirts coloured red, pink, blue and white respectively. Arun dislikes the colour red and Shweta dislikes the colour white, Gulab and Neel like all the colours. In how many different ways can they choose the shirts so that no one has a shirt with a colour he or she dislikes? |
| A. | 21 |
| B. | 18 |
| C. | 16 |
| D. | 14 |
| Answer» E. | |
| 24. |
If the list of letters, \(P,R,S,T,U\) is an arithmetic sequence, which of the followingare also in arithmetic sequence?I. \(2P,\;2R,\;2S,\;2T,\;2U\)II. \(P-3,\;R-3,\;S\;-\;3,\;T-3,\;U-3\)III. \({P^2},\;{R^2},\;{S^2},\;{T^2},\;{U^2}\) |
| A. | I only |
| B. | I and II |
| C. | II and III |
| D. | I and III |
| Answer» C. II and III | |
| 25. |
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 does not show symptoms of disease? |
| A. | 15 |
| B. | 33 |
| C. | 35 |
| D. | 37 |
| Answer» D. 37 | |
| 26. |
If \({{\rm{q}}^{ - {\rm{a}}}} = \frac{1}{{\rm{r}}}\) and \({{\rm{r}}^{ - {\rm{b}}}} = \frac{1}{{\rm{s}}}\) and \({{\rm{S}}^{ - {\rm{c}}}} = \frac{1}{{\rm{q}}}\), the value of abc is _______ |
| A. | (rqs)-1 |
| B. | 0 |
| C. | 1 |
| D. | r+q+s+ |
| Answer» D. r+q+s+ | |
| 27. |
A couple has 2 children. The probability that both children are boys if the older one is a boy is |
| A. | ¼ |
| B. | 1/3 |
| C. | ½ |
| D. | 1 |
| Answer» D. 1 | |
| 28. |
Find the area bounded by the lines 3x+2 y=14, 2x-3y =5 in the first quadrant. |
| A. | 14.95 |
| B. | 15.25 |
| C. | 15.7 |
| D. | 20.35 |
| Answer» C. 15.7 | |
| 29. |
A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number? |
| A. | 63 |
| B. | 72 |
| C. | 81 |
| D. | 90 |
| Answer» C. 81 | |
| 30. |
Following graph shows the percentage distribution of Graduates in all the six states of a country. The total number of graduates in the country is 120,000. Answer the following questions using the information provided.What is the difference in the number of graduates in states A and D? |
| A. | 30000 |
| B. | 21600 |
| C. | 18400 |
| D. | 12000 |
| Answer» C. 18400 | |
| 31. |
Five numbers 10, 7, 5, 4 and 2 are to be arranged in a sequence from left to right following the directions given below:1. No two odd or even numbers are next to each other.2. The second number from the left is exactly half of the left-most number.3. The middle number is exactly twice the right-most number.Which is the second number from the right? |
| A. | 2 |
| B. | 4 |
| C. | 7 |
| D. | 10 |
| Answer» D. 10 | |
| 32. |
Equation: (7526)8 − (Y)8 = (4364)8, where (X)N stands for X to the base N. Find Y. |
| A. | 1634 |
| B. | 1737 |
| C. | 3142 |
| D. | 3162 |
| Answer» D. 3162 | |
| 33. |
It takes 30 minutes to empty a half-full tank by draining it at a constant rate. It is decided to simultaneously pump water into the half-full tank while draining it. What is the rate at which water has to be pumped in so that it gets fully filled in 10 minutes? |
| A. | 4 times the draining rate |
| B. | 3 times the draining rate |
| C. | 2.5 times the draining rate |
| D. | 2 times the draining rate |
| Answer» B. 3 times the draining rate | |
| 34. |
Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above. The ratio of the area of the regular convex hexagon to the area of the original equilateral triangle is |
| A. | 2 : 3 |
| B. | 3 : 4 |
| C. | 4 : 5 |
| D. | 5 : 6 |
| Answer» B. 3 : 4 | |
| 35. |
Fact 1: Humans are mammals.Fact 2: Some humans are engineers.Fact 3: Engineers build houses.If the above statements are facts, which of the following can be logically inferred?I. All mammals build houses.II. Engineers are mammals.III. Some humans are not engineers. |
| A. | II only |
| B. | III only |
| C. | I, II and III |
| D. | I only |
| Answer» B. III only | |
| 36. |
Among 150 faculty members in an institute, 55 are connected with each other through Facebook and 85 are connected through WhatsApp. 30 faculty members do not have Facebook or WhatsApp accounts. The number of faculty members connected only through Facebook accounts is ______________. |
| A. | 35 |
| B. | 45 |
| C. | 65 |
| D. | 90 |
| Answer» B. 45 | |
| 37. |
P, Q, R and S crossed a lake in a boat that can hold a maximum of two persons, with only one set of oars. The following additional facts are available.(i) The boat held two persons on each of the three forward trips across the lake and one person on each of the two return trips.(ii) P is unable to row when someone else is in the boat.(iii) Q is unable to row with anyone else except R.(iv) Each person rowed for at least one trip.(v) Only one person can row during a trip.Who rowed twice? |
| A. | P |
| B. | Q |
| C. | R |
| D. | S |
| Answer» D. S | |
| 38. |
In which years was in zones the difference between the appeared candidates and qualified candidates the second lowest? |
| A. | 2005 |
| B. | 2007 |
| C. | 2008 |
| D. | 2009 |
| Answer» C. 2008 | |
| 39. |
A worker noticed that the hour hand on the factory clock had moved by 225 degrees during her stay at the factory. For how long did she stay in the factory? |
| A. | 3.75 hours |
| B. | 4 hours and 15 mins |
| C. | 8.5 hours |
| D. | 7.5 hours |
| Answer» E. | |
| 40. |
Arun, Gulab, Neel and Shweta must choose one shirt each from a pile of four shirts coloured red, pink, blue and white respectively. Arun dislikes the colour red and Shweta dislikes the colour white. Gulab and Neel like all the colours. In how many different ways can they choose the shirts so that no one has a shirt with a colour he or she dislikes? |
| A. | 21 |
| B. | 18 |
| C. | 16 |
| D. | 14 |
| Answer» E. | |
| 41. |
Operators ∎, Δ and → are defined by : a ∎ b\(= \frac{{{\rm{a}} - {\rm{b}}}}{{{\rm{a}} + {\rm{b}}}};{\rm{a\;\Delta \;b}} = \frac{{{\rm{a}} + {\rm{b}}}}{{{\rm{a}} - {\rm{b}}}};{\rm{a}} \to {\rm{b}} = {\rm{ab}}.\) find the value of (66 ∎ 6) → (66 Δ 6) |
| A. | -2 |
| B. | -1 |
| C. | 1 |
| D. | 2 |
| Answer» D. 2 | |
| 42. |
A test has twenty questions worth 100 marks in total. There are two types of questions. Multiple choice questions are worth 3 marks each and essay questions are worth 11 marks each. How many multiple choice questions does the exam have? |
| A. | 12 |
| B. | 15 |
| C. | 18 |
| D. | 19 |
| Answer» C. 18 | |
| 43. |
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. If in a flood, the water level rises to 525 m, which of the villages P, Q, R, S, T get submerged? |
| A. | P, Q |
| B. | P, Q, T |
| C. | R, S, T |
| D. | Q, R, S |
| Answer» D. Q, R, S | |
| 44. |
In the summer, water consumption is known to decrease overall by 25%. A Water Board official states that in the summer household consumption decreases by 20%, while other consumption increases by 70%. Which of the following statements is correct? |
| A. | The ratio of household to other consumption is 8/17 |
| B. | The ratio of household to other consumption is 1/17 |
| C. | The ratio of household to other consumption is 17/8 |
| D. | There are errors in the official's statement. |
| Answer» E. | |
| 45. |
M has a son Q and a daughter R. He has no other children. E is the mother of P and daughter-in-law of M. How is P related to M |
| A. | P is the son-in-law of M. |
| B. | P is the grandchild of M |
| C. | P is the daughter-in law of M. |
| D. | P is the grandfather of M |
| Answer» C. P is the daughter-in law of M. | |
| 46. |
A contract is to be completed in 52 days and 125 identical robots were employed, each operational for 7 hours a day. After 39 days, five-seventh of the work was completed. How many additional robots would be required to complete the work on time, if each robot is now operational for 8 hours a day? |
| A. | 50 |
| B. | 89 |
| C. | 132 |
| D. | 7 |
| Answer» E. | |
| 47. |
An oil tank can be filled by pipe X in 5 hours and pipe Y in 4 hours, each pump working on its own. When the oil tank is full and the drainage hole is open, the oil is drained in 20 hours. If initially the tank was empty and someone started the two pumps together but left the drainage hole open, how many hours will it take for the tank to be filled? (Assume that the rate of drainage is independent of the Head) |
| A. | 1.5 |
| B. | 2 |
| C. | 2.5 |
| D. | 4 |
| Answer» D. 4 | |
| 48. |
Find the smallest number y such that y × 162 is a perfect cube. |
| A. | 24 |
| B. | 27 |
| C. | 32 |
| D. | 36 |
| Answer» E. | |
| 49. |
If the number 715_423 is divisible by 3 (_ denotes the missing digit in the thousandths place), then the smallest whole number in the place of _ is _______. |
| A. | 0 |
| B. | 2 |
| C. | 5 |
| D. | 6 |
| Answer» C. 5 | |
| 50. |
A square pyramid has a base perimeter x, and the slant height is half of the perimeter. What is the lateral surface area of the pyramid? |
| A. | x2 |
| B. | 0.75x2 |
| C. | 0.50x2 |
| D. | 0.25x2 |
| Answer» E. | |