MCQOPTIONS
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MCQOPTIONS
This section includes 992 Mcqs, each offering curated multiple-choice questions to sharpen your General Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 551. |
How many positive integers less than or equal to 100 are divisible by 2, 4 or 5? |
| A. | 12.3 |
| B. | 87.2 |
| C. | 45.3 |
| D. | 78.2 |
| Answer» E. | |
| 552. |
If two 14-sided dice one is red and one is blue are rolled, find the probability that a 3 on the red die, a 5 on the blue die are rolled. |
| A. | \(\frac{4}{167}\) |
| B. | \(\frac{3}{197}\) |
| C. | \(\frac{5}{216}\) |
| D. | \(\frac{1}{196}\) |
| Answer» C. \(\frac{5}{216}\) | |
| 553. |
In a secondary examination, 75% of the students have passed in History and 65% in Mathematics, while 50% passed in both History and Mathematics. If 35 candidates failed in both the subjects, what is the total number of candidates sit for that exam? |
| A. | 658 |
| B. | 398 |
| C. | 764 |
| D. | 350 |
| Answer» E. | |
| 554. |
There is a class of 40 students out of which 16 are girls. There are 27 students who are right-handed. How many minimum numbers of girls who are left-handed in this class? |
| A. | 17 |
| B. | 56 |
| C. | 23 |
| D. | 3 |
| Answer» E. | |
| 555. |
What is variance of a geometric distribution having parameter p=0.72? |
| A. | 54% |
| B. | 76% |
| C. | 13% |
| D. | 69% |
| Answer» B. 76% | |
| 556. |
A football player has a 45% chance of getting a hit on any given pitch. What is the probability that the player earns a hit ignoring the balls before he strikes out (that requires four strikes)? |
| A. | 0.36 |
| B. | 0.95 |
| C. | 0.67 |
| D. | 0.59 |
| Answer» C. 0.67 | |
| 557. |
A programmer has a 95% chance of finding a bug every time she compiles his code, and it takes her three hours to rewrite the code every time she discovers a bug. Find the probability that she will finish her program by the end of her workday. (Assume that a workday is 9 hours) |
| A. | 76% |
| B. | 44% |
| C. | 37% |
| D. | 28% |
| Answer» E. | |
| 558. |
A box consists of 5 yellow, 12 red and 8 blue balls. If 5 balls are drawn from this box one after the other without replacement, find the probability that the 5 balls are all yellow balls. |
| A. | \(\frac{5}{144}\) |
| B. | \(\frac{6}{321}\) |
| C. | \(\frac{4}{67}\) |
| D. | \(\frac{1}{231}\) |
| Answer» B. \(\frac{6}{321}\) | |
| 559. |
Suppose, R is a random real number between 5 and 9. What is the probability R is closer to 5 than it is to 6? |
| A. | 12.5% |
| B. | 18% |
| C. | 73% |
| D. | 39.8% |
| Answer» B. 18% | |
| 560. |
If I throw 3 standard 7-sided dice, what is the probability that the sum of their top faces equals to 21? Assume both throws are independent to each other. |
| A. | \(\frac{1}{273}\) |
| B. | \(\frac{2}{235}\) |
| C. | \(\frac{1}{65}\) |
| D. | \(\frac{2}{9}\) |
| Answer» B. \(\frac{2}{235}\) | |
| 561. |
Two cards are chosen at random from a standard deck of 52 playing cards. What is the probability of selecting a jack and a Spade from the deck? |
| A. | \(\frac{4}{13}\) |
| B. | \(\frac{1}{13}\) |
| C. | \(\frac{4}{13}\) |
| D. | \(\frac{1}{52}\) |
| Answer» E. | |
| 562. |
Suraj wants to go to Delhi. He can choose from bus services or train services to downtown Punjab. From there, he can choose from 4 bus services or 7 train services to head to Delhi. The number of ways to get to Delhi is? |
| A. | 51 |
| B. | 340 |
| C. | 121 |
| D. | 178 |
| Answer» D. 178 | |
| 563. |
The probability that it rains tomorrow is 0.72. Find the probability that it does not rain tomorrow? |
| A. | 65% |
| B. | 43% |
| C. | 28% |
| D. | 32% |
| Answer» D. 32% | |
| 564. |
What will be the sequence generated by the generating function 4x/(1-x)²? |
| A. | 12, 16, 20, 24,… |
| B. | 1, 3, 5, 7, 9,… |
| C. | 0, 4, 8, 12, 16, 20,… |
| D. | 0, 1, 1, 3, 5, 8, 13,… |
| Answer» D. 0, 1, 1, 3, 5, 8, 13,… | |
| 565. |
A ball is thrown at a circular bin such that it will land randomly over the area of the bin. Find the probability that it lands closer to the center than to the edge? |
| A. | 51% |
| B. | 25% |
| C. | 72% |
| D. | 34% |
| Answer» C. 72% | |
| 566. |
Suppose G is the generating function for the sequence 4, 7, 10, 13, 16, 19,…, the find a generating function (in terms of G) for the sequence of differences between terms. |
| A. | (1−x)G−4/x |
| B. | (1−x)G−4/x³ |
| C. | (1−x)G+6/x |
| D. | (1−x)G−x² |
| Answer» B. (1−x)G−4/x³ | |
| 567. |
What is the generating function for the sequence 1, 6, 16, 216,….? |
| A. | \(\frac{(1+6x)}{x^3}\) |
| B. | \(\frac{1}{(1-6x)}\) |
| C. | \(\frac{1}{(1-4x)}\) |
| D. | 1-6x² |
| Answer» C. \(\frac{1}{(1-4x)}\) | |
| 568. |
A jar containing 8 marbles of which 4 red and 4 blue marbles are there. Find the probability of getting a red given the first one was red too. |
| A. | \(\frac{4}{13}\) |
| B. | \(\frac{2}{11}\) |
| C. | \(\frac{3}{7}\) |
| D. | \(\frac{8}{15}\) |
| Answer» D. \(\frac{8}{15}\) | |
| 569. |
Naina receives emails that consists of 18% spam of those emails. The spam filter is 93% reliable i.e., 93% of the mails it marks as spam are actually a spam and 93% of spam mails are correctly labelled as spam. If a mail marked spam by her spam filter, determine the probability that it is really spam. |
| A. | 50% |
| B. | 84% |
| C. | 39% |
| D. | 63% |
| Answer» B. 84% | |
| 570. |
Given: log₄ z = B log₂/₃z, for all z > 0. Find the value of constant B. |
| A. | 2/(3!*ln(2)) |
| B. | 1/ln(7) |
| C. | (4*ln(9)) |
| D. | 1/(2*ln(3)) |
| Answer» E. | |
| 571. |
In class, students want to join sports. 15 people will join football, 24 people will join basketball, and 7 people will join both. How many people are there in the class? |
| A. | 19 |
| B. | 82 |
| C. | 64 |
| D. | 30 |
| Answer» E. | |
| 572. |
There are 70 patients admitted in a hospital in which 29 are diagnosed with typhoid, 32 with malaria, and 14 with both typhoid and malaria. Find the number of patients diagnosed with typhoid or malaria or both. |
| A. | 39 |
| B. | 17 |
| C. | 47 |
| D. | 53 |
| Answer» D. 53 | |
| 573. |
The explicit formula for the geometric sequence 3, 15, 75, 375,… is _______ |
| A. | 2*6! * 3ⁿ⁻¹ |
| B. | 3 * 5ⁿ⁻¹ |
| C. | 3! * 8ⁿ⁻¹ |
| D. | 7 * 4ⁿ⁻¹ |
| Answer» C. 3! * 8ⁿ⁻¹ | |
| 574. |
A meeting has 12 employees. Given that 8 of the employees is a woman, find the probability that all the employees are women? |
| A. | \(\frac{11}{23}\) |
| B. | \(\frac{12}{35}\) |
| C. | \(\frac{2}{9}\) |
| D. | \(\frac{1}{8}\) |
| Answer» D. \(\frac{1}{8}\) | |
| 575. |
Determine the interval and radius of convergence for the power series: ∞∑ₙ₌₁7ⁿ/n(3x−1)ⁿ⁻¹. |
| A. | (2x+1)/6 |
| B. | 7|3x−1| |
| C. | 5|x+1| |
| D. | 3!*|4x−9| |
| Answer» C. 5|x+1| | |
| 576. |
A 6-sided die is biased. Now, the numbers one to four are equally likely to happen, but five and six is thrice as likely to land face up as each of the other numbers. If X is the number shown on the uppermost face, determine the expected value of X when 6 is shown on the uppermost face. |
| A. | \(\frac{13}{4}\) |
| B. | \(\frac{3}{5}\) |
| C. | \(\frac{2}{7}\) |
| D. | \(\frac{21}{87}\) |
| Answer» B. \(\frac{3}{5}\) | |
| 577. |
A football player makes 75% of his 5-point shots and 25% his 7-point shots. Determine the expected value for a 7-point shot of the player. |
| A. | 4.59 |
| B. | 12.35 |
| C. | 5.25 |
| D. | 42.8 |
| Answer» D. 42.8 | |
| 578. |
There are 6 possible routes (1, 2, 3, 4, 5, 6) from Chennai to Kochi and 4 routes (7, 8, 9, 10) from the Kochi to the Trivendrum. If each path is chosen at random, what is the probability that a person can travel from the Chennai to the via the 4th and 9th road? |
| A. | \(\frac{3}{67}\) |
| B. | \(\frac{5}{9}\) |
| C. | \(\frac{2}{31}\) |
| D. | \(\frac{1}{24}\) |
| Answer» E. | |
| 579. |
In a card game Reena wins 3 Rs. if she draws a king or a spade and 7 Rs. if a heart or a queen from an pack of 52 playing cards. If she pays a certain amount of money each time she will lose the game. What will be the amount so that the game will come out a fair game? |
| A. | 15 |
| B. | 6 |
| C. | 23 |
| D. | 2 |
| Answer» E. | |
| 580. |
Let X is denoted as the number of heads in three tosses of a coin. Determine the mean and variance for the random variable X. |
| A. | 4.8 |
| B. | 6 |
| C. | 3.2 |
| D. | 1.5 |
| Answer» E. | |
| 581. |
Discrete probability distribution depends on the properties of ___________ |
| A. | data |
| B. | machine |
| C. | discrete variables |
| D. | probability function |
| Answer» B. machine | |
| 582. |
A jar of pickle is picked at random using a filling process in which an automatic machine is filling pickle jars with 2.5 kg of pickle in each jar. Due to few faults in the automatic process, the weight of a jar could vary from jar to jar in the range 1.7 kg to 2.9 kg excluding the latter. Let X denote the weight of a jar of pickle selected. Find the range of X. |
| A. | 3.7 ≤ X < 3.9 |
| B. | 1.6 ≤ X < 3.2 |
| C. | 1.7 ≤ X < 2.9 |
| D. | 1 ≤ X < 5 |
| Answer» D. 1 ≤ X < 5 | |
| 583. |
A probability density function f(x) for the continuous random variable X is denoted as _______ |
| A. | ∫ f(x)dx = ∞, -1<=x<=1 |
| B. | ∫ f(x)dx = 1, -∞<=x<=∞ |
| C. | ∫ f(x)dx = 0, -∞<=x<=∞ |
| D. | ∫ f(x+2)dx = .5, -∞<=x<=∞ |
| Answer» C. ∫ f(x)dx = 0, -∞<=x<=∞ | |
| 584. |
Two t-shirts are drawn at random in succession without replacement from a drawer containing 5 red t-shirts and 8 white t-shirts. Find the probabilities of all the possible outcomes. |
| A. | 1 |
| B. | 13 |
| C. | 40 |
| D. | 346 |
| Answer» B. 13 | |
| 585. |
The annual salaries of workers in a large manufacturing factory are normally distributed with a mean of Rs. 48,000 and a standard deviation of Rs. 1500. Find the probability of workers who earn between Rs. 35,000 and Rs. 52,000. |
| A. | 64% |
| B. | 76.2% |
| C. | 42.1% |
| D. | 20% |
| Answer» D. 20% | |
| 586. |
The scores on an admission test are normally distributed with a mean of 640 and a standard deviation of 105.7. A student wants to be admitted to this university. He takes the test and scores 755. What is the probability of him to be admitted to this university? |
| A. | 65.9% |
| B. | 84.6% |
| C. | 40.9% |
| D. | 54%. |
| Answer» C. 40.9% | |
| 587. |
The time taken to assemble a machine in a certain plant is a random variable having a normal distribution of 32 hours and a standard deviation of 3.6 hours. What is the probability that a machine can be assembled at this plant in less than 25.4 hours? |
| A. | 0.61 |
| B. | 0.674 |
| C. | 0.298 |
| D. | 1.823 |
| Answer» D. 1.823 | |
| 588. |
The length of life of an instrument produced by a machine has a normal distribution with a mean of 9.4 months and a standard deviation of 3.2 months. What is the probability that an instrument produced by this machine will last between 6 and 11.6 months? |
| A. | 0.642 |
| B. | 0.4098 |
| C. | 0.16 |
| D. | 0.326 |
| Answer» E. | |
| 589. |
The speeds of a number of bicycles have a normal distribution model with a mean of 83 km/hr and a standard deviation of 9.4 km/hr. Find the probability that a bicycle picked at random is travelling at more than 95 km/hr? |
| A. | 0.1587 |
| B. | 0.38 |
| C. | 0.49 |
| D. | 0/278 |
| Answer» C. 0.49 | |
| 590. |
Let us say that X is a normally distributed variable with mean(μ) of 43 and standard deviation (σ) of 6.4. Determine the probability of X |
| A. | 0.341 |
| B. | 0.962 |
| C. | 6.231 |
| D. | 0.44 |
| Answer» B. 0.962 | |
| 591. |
A personal computer has the length of time between charges of the battery is normally distributed with a mean of 66 hours and a standard deviation of 20 hours. What is the probability when the length of time will be between 58 and 75 hours? |
| A. | 0.595 |
| B. | 3.44 |
| C. | 0.0443 |
| D. | 1.98 |
| Answer» D. 1.98 | |
| 592. |
The length of alike metals produced by a hardware store is approximated by a normal distribution model having a mean of 7 cm and a standard deviation of 0.35 cm. Find the probability that the length of a randomly chosen metal is between 5.36 and 6.14 cm? |
| A. | 0.562 |
| B. | 0.2029 |
| C. | 3.765 |
| D. | 1.576 |
| Answer» C. 3.765 | |
| 593. |
Two fair coins are flipped. As a result of this, tails and heads runs occurred where a tail run is a consecutive occurrence of at least one head. Determine the probability function of number of tail runs. |
| A. | \(\frac{1}{2}\) |
| B. | \(\frac{5}{6}\) |
| C. | \(\frac{32}{19}\) |
| D. | \(\frac{6}{73}\) |
| Answer» B. \(\frac{5}{6}\) | |
| 594. |
In a bucket there are 5 purple, 15 grey and 25 green balls. If the ball is picked up randomly, find the probability that it is neither grey nor purple? |
| A. | \(\frac{5}{9}\) |
| B. | \(\frac{12}{13}\) |
| C. | \(\frac{51}{43}\) |
| D. | \(\frac{2}{7}\) |
| Answer» B. \(\frac{12}{13}\) | |
| 595. |
Suppose a rectangle edges equals i = 4.7 and j = 8.3. Now, a straight line drawn through randomly selected two points K and L in adjacent rectangle edges. Find the condition for the probability such that the drawn triangle area is smaller than c = 9.38. |
| A. | K-L≤18.76 |
| B. | K+L≤18.76 |
| C. | KL≤18.76 |
| D. | K/L≤18.76 |
| Answer» D. K/L≤18.76 | |
| 596. |
Find the expectation for how many bacteria there are per field if there are 2350 bacteria are randomly distributed over 340 fields (all having the same size) next to each other. |
| A. | 4.98 |
| B. | 3.875 |
| C. | 6.91 |
| D. | 7.37 |
| Answer» D. 7.37 | |
| 597. |
What is the possibility such that the inequality x² + b > ax is true, when a=32.4 and b=76.5 and x∈[0,30]. |
| A. | 1.91 |
| B. | 4.3 |
| C. | 2.94 |
| D. | 6.1 |
| Answer» B. 4.3 | |
| 598. |
Find the power series representation for the function f(x)=x/4−x. |
| A. | a |
| B. | b |
| C. | c |
| D. | d |
| Answer» B. b | |
| 599. |
Determine a power series representation for the function g(x)=ln(7−x). |
| A. | a |
| B. | b |
| C. | c |
| D. | d |
| Answer» D. d | |
| 600. |
An example of Maclaurin series is _______ |
| A. | a |
| B. | b |
| C. | c |
| D. | d |
| Answer» B. b | |