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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.
| 401. |
Find the median, mode and mean of 9, 5, 8, 9, 9, 7, 8, 9, 8? |
| A. | 9, 9, 9 |
| B. | 9, 8, 9 |
| C. | 8, 9, 8 |
| D. | 8, 9, 9 |
| Answer» D. 8, 9, 9 | |
| 402. |
A distribution is composed of 3 components with frequencies of 20, 25 and 30, with mean 25, 10 and 15 respectively. Find the mean of the joint distribution. |
| A. | 17.5 |
| B. | 16 |
| C. | 20 |
| D. | 14 |
| Answer» C. 20 | |
| 403. |
For which set of numbers do the mean, median and mode all have the same value? |
| A. | 2, 2, 2, 2, 4 |
| B. | 1, 3, 3, 3, 5 |
| C. | 1, 1, 2, 5, 6 |
| D. | 1, 1, 1, 2, 5 |
| Answer» C. 1, 1, 2, 5, 6 | |
| 404. |
If the data x1, x2,….,x10 is such that the mean of first four of these is 11, the mean of the remaining six is 16 and the sum of squares of all of these is 2000; then the standard deviation of this data is: |
| A. | 2√2 |
| B. | 2 |
| C. | 4 |
| D. | √2 |
| Answer» C. 4 | |
| 405. |
Find the range and mode of the data 17, 18, 28, 19, 16, 18, 17, 29, 18 ? |
| A. | 12 and 18 |
| B. | 13 and 18 |
| C. | 12 and 17 |
| D. | 11 and 17 |
| Answer» C. 12 and 17 | |
| 406. |
A sequence a, ax, ax2, _______ axn, has odd number of terms. Then the median is |
| A. | \({\rm{a}}{{\rm{x}}^{\frac{{\rm{n}}}{2} + 1}}\) |
| B. | \({\rm{a}}{{\rm{x}}^{\frac{{\rm{n}}}{2} - 1}}\) |
| C. | \({\rm{a}}{{\rm{x}}^{{\rm{n}} - 1}}\) |
| D. | \({\rm{a}}{{\rm{x}}^{\frac{{\rm{n}}}{2}}}\) |
| Answer» E. | |
| 407. |
Data represented through a histogram can help in finding graphically the |
| A. | Mean |
| B. | Mode |
| C. | Median |
| D. | All of the above |
| Answer» C. Median | |
| 408. |
If the ratio of mode and median is 7 ∶ 4, then the ratio of mean and mode is |
| A. | 7 ∶ 11 |
| B. | 5 ∶ 14 |
| C. | 2 ∶ 3 |
| D. | None of the above |
| Answer» C. 2 ∶ 3 | |
| 409. |
Arithmetic mean of 10 observations is 60 and sum of squares of deviations from 50 is 5000. What is the standard deviation of the observations? |
| A. | 20 |
| B. | 21 |
| C. | 22.36 |
| D. | 24.7 |
| Answer» B. 21 | |
| 410. |
Calculate median for the following dataClass0-44-66-88-1212-1818-20frequency4681272 |
| A. | 7.5 |
| B. | 9 |
| C. | 8 |
| D. | 8.5 |
| Answer» E. | |
| 411. |
If it is known that there are 40 million people below 36 years of age, then how many million people (approximately) are in the age group of 56 - 65? |
| A. | 4.2 million |
| B. | 3.8 million |
| C. | 3.15 million |
| D. | Cannot be determined |
| Answer» D. Cannot be determined | |
| 412. |
If xi > 0. yi > 0 (I = 1, 2, 3, …..n) are the values of two variables X and Y with geometric means P and Q respectively, then the geometric mean of X/Y is |
| A. | P/Q |
| B. | antilog \(\left( {\frac{{\rm{P}}}{{\rm{Q}}}} \right)\) |
| C. | n (log P – log Q) |
| D. | n (log P + log Q) |
| Answer» B. antilog \(\left( {\frac{{\rm{P}}}{{\rm{Q}}}} \right)\) | |
| 413. |
If the mode of the following data is 62, find the missing term.21, 21, 22, 22, 213, 60, 60, 60, 63, 63, 63, 63, 63, 62, 62, 62, 62, 62, x |
| A. | 63 |
| B. | 62 |
| C. | 64 |
| D. | Cannot be determined |
| Answer» C. 64 | |
| 414. |
In the following distribution whose mean is 50, find the missing frequency p :x1030507090f17p322419 |
| A. | 25 |
| B. | 26 |
| C. | 27 |
| D. | 28 |
| Answer» E. | |
| 415. |
If the median of the observations 21, 22, 25, 26, x, x + 4, 35, 38, 39, and 40 arranged in ascending order is 30, then the 6th observation is: |
| A. | 33 |
| B. | 28 |
| C. | 32 |
| D. | 29 |
| Answer» D. 29 | |
| 416. |
Consider the following LPP.:Max Z = 15x1 + 10x2Subject to the constraints4x1 + 6x2 ≤ 3603x1 + 0x2 ≤ 1800x1 + 5x2 ≤ 200x1, x2 ≥ 0The solution of the LPP using Graphical solution-technique is : |
| A. | x1 = 60, x2 = 0 and Z = 900 |
| B. | x1 = 60, x2 = 20 and Z = 1100 |
| C. | x1 = 60, x2 = 30 and Z = 1200 |
| D. | x1 = 50, x2 = 40 and Z = 1150 |
| Answer» C. x1 = 60, x2 = 30 and Z = 1200 | |
| 417. |
A car travels first 60 km at a speed of 3v km/hr and travels next 60 km at 2v km/hr. What is the average speed of the car? |
| A. | 2.5v km/hr |
| B. | 2.4v km/hr |
| C. | 2.2v km/hr |
| D. | 2.1v km/hr |
| Answer» C. 2.2v km/hr | |
| 418. |
A set of n values X1, X2, … Xn has standard deviation σ then the standard deviation of X1 + k, X2 + k, …. Xn + k will be |
| A. | σ |
| B. | σ + k |
| C. | σ - k |
| D. | k σ |
| Answer» B. σ + k | |
| 419. |
Four numbers, when arranged in the ascending order are w, x, y, and z. The average of the smallest three numbers is 25.5 while the average of the largest three numbers was 29.5. What is the range of the data? |
| A. | 10 |
| B. | 12 |
| C. | 13 |
| D. | 11 |
| Answer» C. 13 | |
| 420. |
In a class test, the mean for Psychology was 45 and SD was 5, while for Maths the mean was 80 and SD was 5. Mr. Bipin Kumar gets 50 marks in Psychology and 70 marks in Maths. In which subject will be considered to have done better? |
| A. | He has done better in Maths |
| B. | He has done better in Psychology |
| C. | He performed equally in both |
| D. | No statement about his performance can be made. |
| Answer» C. He performed equally in both | |
| 421. |
A group of 40 employees of Cadre A has a mean age of 31. A different group of 60 employees of Cadre B has a mean age of 28. What is the mean age of two employees of the two groups together? |
| A. | 29.8 |
| B. | 29.5 |
| C. | 29.2 |
| D. | 29 |
| Answer» D. 29 | |
| 422. |
If the mean and median of a statistical data be 5 and 6 respectively, then the value of mode is |
| A. | 11 |
| B. | 9 |
| C. | 8 |
| D. | None of the above |
| Answer» D. None of the above | |
| 423. |
If the mode of the scores 10, 12, 13, 15, 15, 13, 12, 10, x is 15, then what is the value of x? |
| A. | 10 |
| B. | 12 |
| C. | 13 |
| D. | 15 |
| Answer» E. | |
| 424. |
If \(\rm \overline{X}_1\) and \(\rm \overline{X}_2\) are the means of two distributions such that \(\rm \overline{X}_1 < \rm \overline{X}_2\), and \(\rm \overline{X}\) is the mean of the combined distribution, then: |
| A. | \(\rm \overline{X} < \rm \overline{X}_1\) |
| B. | \(\rm \overline{X} > \rm \overline{X}_2\) |
| C. | \(\rm \overline{X}= \dfrac{\overline{X}_1+\overline{X}_2}{2}\) |
| D. | \(\rm \overline{X}_1 < \overline{X} < \rm \overline{X}_2\) |
| Answer» E. | |
| 425. |
If all the natural numbers between 1 and 20 are multiplied by 3, then what is the variance of the resulting series? |
| A. | 99.75 |
| B. | 199.75 |
| C. | 299.25 |
| D. | 399.25 |
| Answer» D. 399.25 | |
| 426. |
A set of data is given. The mean of the set is 35 while the median of the set is 60. Find the mode of the data. |
| A. | 25 |
| B. | 30 |
| C. | 20 |
| D. | 110 |
| Answer» E. | |
| 427. |
In a Mathematics test 15 students scored 80 marks, 20 students scored 75 marks, 28 students scored 65 marks and 25 students scored 60 marks, mode of the score is: |
| A. | 75 |
| B. | 65 |
| C. | 60 |
| D. | 80 |
| Answer» C. 60 | |
| 428. |
Data on ratings of hotels in a city is measured on |
| A. | Nominal scale |
| B. | Ordinal scale |
| C. | Interval scale |
| D. | Ratio scale |
| Answer» C. Interval scale | |
| 429. |
Fifteen candidates appeared in an examination. The marks of the candidates who passed in the examination are 9, 6, 7, 8, 8, 9, 6, 5, 4 and 7. What is the median of marks of all the fifteen candidates? |
| A. | 6 |
| B. | 6.5 |
| C. | 7 |
| D. | 7.5 |
| Answer» B. 6.5 | |
| 430. |
If two variables X and Y are independent, then what is the correlation coefficient between them? |
| A. | 1 |
| B. | -1 |
| C. | 0 |
| D. | None of the above |
| Answer» D. None of the above | |
| 431. |
5 students of a class have an average height 150 cm and variance 18 cm2. A new student, whose height is 156 cm, joined them. The variance (in cm2) of the height of these six students is: |
| A. | 16 |
| B. | 22 |
| C. | 20 |
| D. | 18 |
| Answer» D. 18 | |
| 432. |
A sample of 5 observations has mean 32 and median 33. Later it is found that an observation was recorded incorrectly as 40 instead of 35. If we correct the data, then which one of the following is correct? |
| A. | The mean and median remain the same |
| B. | The median remains the same but the mean will decrease |
| C. | The mean and median both will decrease |
| D. | The mean remains the same but median will decrease |
| Answer» C. The mean and median both will decrease | |
| 433. |
Mean of 100 observations is 50 and standard deviation is 10. If 5 is added to each observation, then what will be the new mean and new standard deviation respectively? |
| A. | 50, 10 |
| B. | 50, 15 |
| C. | 55, 10 |
| D. | 55, 15 |
| Answer» D. 55, 15 | |
| 434. |
If two regression coefficients are -0.8 and -0.2, then the value of coefficient of correlation is |
| A. | -0.16 |
| B. | -0.5 |
| C. | 0.4 |
| D. | -0.4 |
| Answer» E. | |
| 435. |
A histogram has 7 bars of varying heights. The fifth bar represents the maximum frequencies. The range of this frequency distribution table can be classified as ______. |
| A. | Average |
| B. | Below average |
| C. | Above average |
| D. | Extreme |
| Answer» C. Above average | |
| 436. |
Find the standard deviation of {11, 7, 10, 13, 9}. |
| A. | 1 |
| B. | 2 |
| C. | 4 |
| D. | 5 |
| Answer» C. 4 | |
| 437. |
If the mean of the following distribution is 13, then p is equal toxi51012171620fi93p875 |
| A. | 6 |
| B. | 7 |
| C. | 10 |
| D. | 4 |
| Answer» C. 10 | |
| 438. |
Find the median of the given data:3, 2, 6, 4, 9, 7, 11, 5, 15 |
| A. | 6 |
| B. | 7 |
| C. | 5 |
| D. | 4 |
| Answer» B. 7 | |
| 439. |
Consider the following statements.1. Mode can be computed from histogram2. Median is not independent of the change of scale3. Variance is independent of the change of origin and scaleWhich of these is/are correct? |
| A. | Only (1) and (2) |
| B. | Only (1) |
| C. | All (1), (2) and (3) |
| D. | Only (2) |
| Answer» B. Only (1) | |
| 440. |
Find the mode of the following data:110, 80, 70, 90, 120, 90, 80, 70, 60, 80 |
| A. | 80 |
| B. | 110 |
| C. | 90 |
| D. | 120 |
| Answer» B. 110 | |
| 441. |
In a study of two groups, the following results were obtained: Group AGroup BSample size2025Sample mean2223Sample standard deviation1012 Which of the following statements is correct? |
| A. | Group A is less variable than Group B because Group A's standard deviation is smaller. |
| B. | Group A is less variable than Group B because Group A's sample size is smaller. |
| C. | Group A is less variable than Group B because Group A's sample mean is smaller. |
| D. | Group A is less variable than Group B because Group A's coefficient of variation is smaller. |
| Answer» E. | |
| 442. |
Consider the following grouped frequency distribution:XF0-10810-201220-301030-40P40-509 If the mean of the above data is 25.2, then what is the value of p? |
| A. | 9 |
| B. | 10 |
| C. | 11 |
| D. | 12 |
| Answer» D. 12 | |
| 443. |
Mode of a distribution can be obtained from: |
| A. | Histogram |
| B. | Less than type ogives |
| C. | More than type ogives |
| D. | Frequency polygon |
| Answer» B. Less than type ogives | |
| 444. |
Find the mean of the given data {a, b, a, a, b, a, b, c, a, b, a, c, a, b, a}, where a is less than b and b is less than c. |
| A. | (3a + 2b + 4c)/9 |
| B. | (8a + 4b + 2c)/15 |
| C. | (8a + 5b + 2c)/15 |
| D. | (8a + 5b +c)/15 |
| Answer» D. (8a + 5b +c)/15 | |
| 445. |
Consider the following statements:Statement 1: Range is not a good measure of dispersion.Statement 2: Range is highly affected by the existence of extreme values.Which one of the following is correct in respect of the above statements? |
| A. | Both Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1 |
| B. | Both Statement 1 and Statement 2 are correct but Statement 2 is not the correct explanation of Statement 1 |
| C. | Statement 1 is correct but Statement 2 is not correct |
| D. | Statement 2 is correct but Statement 1 is not correct |
| Answer» B. Both Statement 1 and Statement 2 are correct but Statement 2 is not the correct explanation of Statement 1 | |
| 446. |
For the data given below, find the sum of mode, median and mean.6, 3, 8, 4, 3, 11, 7, 4, 5, 4. |
| A. | 13.5 |
| B. | 13 |
| C. | 14 |
| D. | 14.5 |
| Answer» D. 14.5 | |
| 447. |
As the number of observations and classes increases, the shape of a frequency polygon |
| A. | Tends to become jagged |
| B. | Tends to become increasingly smooth |
| C. | Stays the same |
| D. | Varies only if data become more reliable |
| Answer» C. Stays the same | |
| 448. |
A data consists of n observations: \({x_1},{x_2}, \ldots .,{x_{\rm{n}}}.{\rm{\;If\;}}\mathop \sum \limits_{i = 1}^{\rm{n}} {\left( {{x_i} + 1} \right)^2} = 9{\rm{n\;and\;}}\mathop \sum \limits_{i = 1}^{\rm{n}} {\left( {{x_i} - 1} \right)^2} = 5{\rm{n}}\), then the standard deviation of this data is: |
| A. | 2 |
| B. | √5 |
| C. | 5 |
| D. | √7 |
| Answer» C. 5 | |
| 449. |
If the covariance between x and y is 30, variance of x is 25 and variance of y is 144, then what is the correlation coefficient? |
| A. | 0.4 |
| B. | 0.5 |
| C. | 0.6 |
| D. | 0.7 |
| Answer» C. 0.6 | |
| 450. |
If there are 20 million in the age group of 56 and above, what is the difference between the total number of people in the age group of 16 - 25 and 46 - 55? |
| A. | 10.2 million |
| B. | 11.2 million |
| C. | 12.2 million |
| D. | Cannot be determined |
| Answer» C. 12.2 million | |