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MCQOPTIONS
This section includes 594 Mcqs, each offering curated multiple-choice questions to sharpen your SSC CGL knowledge and support exam preparation. Choose a topic below to get started.
| 501. |
If mean and standard deviation of 5 observations x1, x2, x3, x4, and x5 are 10 and 3 respectively, then the variance of 6 observations x1, x2, x3, x4, x5 and -50 is equal to: |
| A. | 509.5 |
| B. | 586.5 |
| C. | 582.5 |
| D. | 507.5 |
| Answer» E. | |
| 502. |
Consider the following statements:1. Coefficient of variation depends on the unit of measurement of the variable.2. Range is measure of dispersion.3. Mean deviation is least when measured about median.Which of the above statements are correct? |
| A. | 1 and 2 only |
| B. | 2 and 3 only |
| C. | 1 and 3 only |
| D. | 1, 2 and 3 |
| Answer» E. | |
| 503. |
Let the correlation coefficient between X and Y be 0.6. Random variables Z and W are defined as Z = X + 5 and \(W = \frac{Y}{3}\). What is the correlation coefficient between Z and W? |
| A. | 0.1 |
| B. | 0.2 |
| C. | 0.36 |
| D. | 0.6 |
| Answer» E. | |
| 504. |
Let xi, i = 1, 2, ..., n be n observations and wi = pxi + k, i = 1, 2, ..., n where p and k are constants. If the mean of xi's is 48 and standard deviation is 12, whereas the mean of wi's is 55 and standard deviation is 15, then the value of p and k should be |
| A. | p = 1.25, k = -5 |
| B. | p = -1.25, k = 5 |
| C. | p = 2.5, k = -5 |
| D. | p = 25, k = 5 |
| Answer» B. p = -1.25, k = 5 | |
| 505. |
A certain data is presented in the form of a frequency distribution using same class size. If the class mark of the first class interval is 70, and the class size is 20, then the upper limit of the seventh class interval is: |
| A. | 160 |
| B. | 220 |
| C. | 200 |
| D. | 140 |
| Answer» D. 140 | |
| 506. |
Find the range of 10, 21, 5, 1, 3, 17, 19, 2.A. 19B. 10C. 20D. 17 |
| A. | D |
| B. | A |
| C. | C |
| D. | B |
| Answer» D. B | |
| 507. |
Frequency density of a class is computed by the ratio |
| A. | Class frequency to the class width |
| B. | Class frequency to the total frequency |
| C. | Class frequency to the total number of classes |
| D. | Cumulative frequency up to that class to total frequency |
| Answer» B. Class frequency to the total frequency | |
| 508. |
14 observations are 10,11,11,12,13,14,12,13,10,12,12,14,14 and 15.What is the median of the given observations? |
| A. | 12 |
| B. | 13 |
| C. | 14 |
| D. | 10 |
| Answer» B. 13 | |
| 509. |
It is given that X̅ = 10, Y̅ = 90, σX = 3, σY = 12 and rXY = 0.8. The regression equation of X on Y is |
| A. | Y = 3.2X + 58 |
| B. | X = 3.2Y + 58 |
| C. | X = -8 + 0.2Y |
| D. | Y = -8 + 0.2X |
| Answer» D. Y = -8 + 0.2X | |
| 510. |
If total number of observations are even, then the median of these observations is equal to ______. |
| A. | \({1\over4}[{n\over4}^{th} term \space + {({n\over4} + 1})^{th} term]\) |
| B. | \({1\over2}[{n\over2}^{th} term \space + {({n\over2} + 1})^{th} term]\) |
| C. | \({3\over2}[{n\over2}^{th} term \space + {({n\over2} + 1})^{th} term]\) |
| D. | \({1\over2}[{n\over2}^{th} term \space + {({n\over3} + 1})^{th} term]\) |
| Answer» C. \({3\over2}[{n\over2}^{th} term \space + {({n\over2} + 1})^{th} term]\) | |
| 511. |
In a moderately skewed distribution, which of following equation indicates the relationship among mean, median and mode? |
| A. | Mean = 2 Mode - 3 Median |
| B. | Mode = 3 Median - 2 Mean |
| C. | Median = 3 Mean - 2 Mode |
| D. | Mode = 3 Mean - 2 Median |
| Answer» C. Median = 3 Mean - 2 Mode | |
| 512. |
Consider the following LPP :Min Z = 2x1 + x2 + 3x3Subject to :x1 - 2x2 + x3 ≥ 42x1 + x2 + x3 ≤ 8x1 - x3 ≥ 0x1, x2, x3 ≥ 0The solution of this LPP using the Dual Simplex Method is : |
| A. | x1 = 0, x2 = 0, x3 = 3 and Z = 9 |
| B. | x1 = 0, x2 = 6, x3 = 0 and Z = 6 |
| C. | x1 = 4, x2 = 0, x3 = 0 and Z = 8 |
| D. | x1 = 2, x2 = 0, x3 = 2 and Z = 10 |
| Answer» D. x1 = 2, x2 = 0, x3 = 2 and Z = 10 | |
| 513. |
Find the median of the given data set:42, 45, 58, 87, 45, 54, 65, 12, 25, 25, 59, 60 |
| A. | 49.5 |
| B. | 59.5 |
| C. | 54 |
| D. | 45 |
| Answer» B. 59.5 | |
| 514. |
Isohaline is an imaginary line joining the places having equal:- |
| A. | Radiation |
| B. | Sunshine |
| C. | Insulation |
| D. | Salinity |
| Answer» E. | |
| 515. |
If M is the mean of n observations x1 - k, x2 - k, x3 - k, _ _ _, xn - k, where k is any real number, then what is the mean of x1, x2, x3, _ _ _, xn? |
| A. | M |
| B. | M + k |
| C. | M - k |
| D. | kM |
| Answer» C. M - k | |
| 516. |
In a batch of 15 students, 5 students failed in a test. The marks of 10 students who passed were 9, 6, 8, 8, 7, 7, 9, 6, 5, 4. What was the median of all the 15 students? |
| A. | 7 |
| B. | 5 |
| C. | 8 |
| D. | 6 |
| Answer» E. | |
| 517. |
For a histogram based on a frequency distribution with unequal class intervals, the frequency of a class should be proportional to: |
| A. | the height of the rectangle. |
| B. | the area of the rectangle. |
| C. | the width of the rectangle. |
| D. | the perimeter of the rectangle. |
| Answer» C. the width of the rectangle. | |
| 518. |
A set A is given as A = {(x - 2), x, (x - 3), (x + 8), (x - 7)}. What is the median of set A if x greater than 0? |
| A. | x + 3 |
| B. | x - 2 |
| C. | x |
| D. | x - 3 |
| Answer» C. x | |
| 519. |
In a normal distribution of scores with a mean of 54 and standard deviation of 9, the percentile rank of a student scoring 72 would be |
| A. | 99 |
| B. | 95 |
| C. | 64 |
| D. | 48 |
| Answer» B. 95 | |
| 520. |
If the difference between the number of people in the age groups of 46 - 55 and 26 - 35 is 3.9 million, then the total population of the State is |
| A. | 120 million |
| B. | 130 million |
| C. | 390 million |
| D. | 139 million |
| Answer» C. 390 million | |
| 521. |
A student got the following marks in the questions of a question paper 5, 4, 6, 3, 1, 8, 2, 0 and 7. Find the median. |
| A. | 6 |
| B. | 2 |
| C. | 4 |
| D. | 3 |
| Answer» D. 3 | |
| 522. |
If the regression coefficient of Y on X is -6, and the correlation coefficient between X and Y is \( - \frac{1}{2},\) then the regression coefficient of X on Y would be |
| A. | \(\frac{1}{{24}}\) |
| B. | \( - \frac{1}{{24}}\) |
| C. | \( - \frac{1}{6}\) |
| D. | \(\frac{1}{6}\) |
| Answer» C. \( - \frac{1}{6}\) | |
| 523. |
In which one of the following cases would you expect to get a negative correlation? |
| A. | The ages of husbands and wives |
| B. | Shoe give and intelligence |
| C. | Insurance companies’ profits and the number at claims they have to pay |
| D. | Amount of rainfall and yield of crop |
| Answer» D. Amount of rainfall and yield of crop | |
| 524. |
If the mean and standard deviation coefficients of a set of numbers are 10 and 5 respectively, so the standard deviation of the group of numbers will be. |
| A. | 50 |
| B. | 5 |
| C. | 1 |
| D. | 10 |
| Answer» B. 5 | |
| 525. |
If median and mean of the first 10 prime numbers are M and m, respectively, then |
| A. | M = m |
| B. | M > m |
| C. | M < m |
| D. | None of the above |
| Answer» D. None of the above | |
| 526. |
If the standard deviation of 0, 1, 2, 3 ______ 9 is K, then the standard deviation of 10, 11, 12, 13 _____ 19 will be: |
| A. | K + 1 |
| B. | K |
| C. | K + 4 |
| D. | K + 8 |
| Answer» C. K + 4 | |
| 527. |
Find the mean and median of 7, 5, 5, 2, 7, 6, 5, 3, 7, 6 ? |
| A. | 5.3 and 5 |
| B. | 5 and 6 |
| C. | 5 and 5.5 |
| D. | 5.3 and 5.5 |
| Answer» E. | |
| 528. |
If the standard deviation of a population is 3, what would be the population variance? |
| A. | 9 |
| B. | 6 |
| C. | 8 |
| D. | 15 |
| Answer» B. 6 | |
| 529. |
Consider the following statements:1. The algebraic sum of deviations of a set of values from their arithmetic mean is always zero.2. Arithmetic mean > Median > Mode for a symmetric distribution.Which of the above statements is/are correct? |
| A. | 1 only |
| B. | 2 only |
| C. | Both 1 and 2 |
| D. | Neither 1 nor 2 |
| Answer» B. 2 only | |
| 530. |
For the given data -1, 0, 1, 2, 3, 5, 5, 6, 8, 10, 11which one of the following is true? |
| A. | Mean = Median = Mode |
| B. | Mean = Mode |
| C. | Median = Mode |
| D. | None of the above |
| Answer» D. None of the above | |
| 531. |
A data set of n observations has mean 2M, while another data set of 2n observations has mean M. What is the mean of the combined data sets? |
| A. | M |
| B. | \(\rm \dfrac{3M}{2}\) |
| C. | \(\rm \dfrac{2M}{3}\) |
| D. | \(\rm \dfrac{4M}{3}\) |
| Answer» E. | |
| 532. |
Consider the following distribution: Marks obtained No. of students More than or equal to zero 63 More than or equal to 10 58 More than or equal to 20 55 More than or equal to 30 51 More than or equal to 40 48 More than or equal to 50 42The frequency of class 30-40 is: |
| A. | 4 |
| B. | 51 |
| C. | 48 |
| D. | 3 |
| Answer» E. | |
| 533. |
In a negatively skewed distribution the position of the Mean with reference to the Median is: |
| A. | Left of the median |
| B. | Right of the median |
| C. | Same as median |
| D. | Same as Mode |
| Answer» B. Right of the median | |
| 534. |
Let x be the median of the data13, 8, 15, 14, 17, 9, 14, 16, 13, 17, 14, 15, 16, 15, 14.If 8 is replaced by 18, then the median of the data is y. What is the sum of the values of x any y? |
| A. | 28 |
| B. | 29 |
| C. | 30 |
| D. | 27 |
| Answer» C. 30 | |
| 535. |
A bowler has taken 0, 3, 2, 1, 5, 3, 4, 5, 5, 2, 2, 0, 0, 1 and 2 wickets in 15 consecutive matches. What is the mode of the given data? |
| A. | 0 |
| B. | 5 |
| C. | 2 |
| D. | 3 |
| Answer» D. 3 | |
| 536. |
If the standard deviation of a distribution is 4, what is the value of variance?A. 8B. 9C. 16D. 12 |
| A. | B |
| B. | C |
| C. | D |
| D. | A |
| Answer» C. D | |
| 537. |
Mode of the observations 10, 11, 16, 17, 12, 13, 17, 16, 16, 12, 16, 10, 15, 16, 10 is |
| A. | 13 |
| B. | 15 |
| C. | 16 |
| D. | None of the above |
| Answer» D. None of the above | |
| 538. |
A, B, C are three sets of values of x:A : 2, 3, 7, 1, 3, 2, 3B : 7, 5, 9, 12, 5, 3, 8C : 4, 4, 11, 7, 2, 3, 4Select the correct statement from the following: |
| A. | Mean of A is equal Mode of C. |
| B. | Mean of C is equal to Median of B. |
| C. | Median of B is equal to Mode of A. |
| D. | Mean, Median and Mode of A are same. |
| Answer» E. | |
| 539. |
Find the range of the data 9, 5, 9, 3, 4, 7, 8, 4, 8, 9, 5, 9.A. 3B. 5C. 6D. 4 |
| A. | B |
| B. | C |
| C. | A |
| D. | D |
| Answer» C. A | |
| 540. |
If the standard deviation of the numbers -1, 0, 1, k is \({\rm{\;}}\sqrt 5 {\rm{\;}}\) where k > 0, then k is equal to: |
| A. | \(2\sqrt 6\) |
| B. | \(2\sqrt {\frac{{10}}{3}}\) |
| C. | \(4\sqrt {\frac{5}{3}}\) |
| D. | \(\sqrt 6\) |
| Answer» B. \(2\sqrt {\frac{{10}}{3}}\) | |
| 541. |
Let X and Y represent prices (in Rs) of a commodity in Kolkata and Mumbai respectively. It is given X̅ = 65, Y̅ = 67, σX = 2.5, σY = 3.5 and r(X, Y) = 0.8. What is the equation of regression of Y on X ? |
| A. | Y = 0.175X - 5 |
| B. | Y = 1.12X - 5.8 |
| C. | Y = 1.12X - 5 |
| D. | Y = 0.17X + 5.8 |
| Answer» C. Y = 1.12X - 5 | |
| 542. |
Find the mean of first 5 two-digit multiples of 4. |
| A. | 24 |
| B. | 16 |
| C. | 20 |
| D. | 22 |
| Answer» D. 22 | |
| 543. |
Mean of the 12 observation is 15.If one observation is added to it , the new mean becomes 16. What is 13th observation? |
| A. | 24 |
| B. | 28 |
| C. | 20 |
| D. | 30 |
| Answer» C. 20 | |
| 544. |
If both the mean and the standard deviation of 50 observations x1, x2, …,x50 are equal to 16, then the mean of(x1 - 4)2, (x2 - 4)2,….(x50 - 4)2 is: |
| A. | 400 |
| B. | 380 |
| C. | 525 |
| D. | 480 |
| Answer» B. 380 | |
| 545. |
For the variables x and y, the two regression lines are 6x + y = 30 and 3x + 2y = 25. What are the values of x̅, y̅ and r respectively? |
| A. | \(\frac{{20}}{3},\frac{{35}}{9},\; - 0.5\) |
| B. | \(\frac{{20}}{3},\frac{{35}}{9},\;0.5\) |
| C. | \(\frac{{35}}{9},\frac{{20}}{3},\; - 0.5\) |
| D. | \(\frac{{35}}{9},\frac{{20}}{3},\;0.5\) |
| Answer» D. \(\frac{{35}}{9},\frac{{20}}{3},\;0.5\) | |
| 546. |
Find the median of 12, 1, 10, 1, 9, 3, 4, 9, 7, 9.A. 7B. 8C. 9D. 7.5 |
| A. | B |
| B. | C |
| C. | A |
| D. | D |
| Answer» B. C | |
| 547. |
If the regression coefficient of x on y and y on x are \(- \frac{1}{2}\) and \(- \frac{1}{8}\) respectively, then what is the correlation coefficient between x and y? |
| A. | \(- \frac{1}{4}\) |
| B. | \(- \frac{1}{{16}}\) |
| C. | \(\frac{1}{{16}}\) |
| D. | \(\frac{1}{4}\) |
| Answer» B. \(- \frac{1}{{16}}\) | |
| 548. |
If the sum of the deviations of 50 observations from 30 is 50, then the mean of these observations is |
| A. | 50 |
| B. | 30 |
| C. | 51 |
| D. | 31 |
| Answer» E. | |
| 549. |
Find the value of the mean of 2, 2, 3, 4, 5, 5, 7, 8.A. 4.5B. 5.4C. 5.5D. 5 |
| A. | B |
| B. | C |
| C. | D |
| D. | A |
| Answer» E. | |
| 550. |
If two regression lines between height (x) and weight (y) are 4y – 15x + 410 = 0 and 30x – 2y – 825 = 0, then what will be the correlation coefficient between height and weight? |
| A. | \(\frac{1}{3}\) |
| B. | \(\frac{1}{2}\) |
| C. | \(\frac{2}{3}\) |
| D. | \(\frac{3}{4}\) |
| Answer» C. \(\frac{2}{3}\) | |