Q1. The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
Q2. If x1, x2, x3,….., xn are the observations of a given data. Then the mean of the observations will be:
3. n2 – 1 is divisible by 8, if n is
Q4. If the mean of frequency distribution is 7.5 and ∑fi xi = 120 + 3k, ∑fi = 30, then k is equal to:
Q5. If n is a rational number, then 52n − 22n is divisible by
Q6. The mode and mean is given by 7 and 8, respectively. Then the median is:
Q7. The H.C.F of 441, 567 and 693 is
Q8. The mean of the data: 4, 10, 5, 9, 12 is;
Q9. On a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 45 cm, respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?
Q10. The median of the data 13, 15, 16, 17, 19, 20 is:
Q11. If the mean of first n natural numbers is 3n/5, then the value of n is:
Q12. If AM of a, a+3, a+6, a+9 and a+12 is 10, then a is equal to;
Q13. The class interval of a given observation is 10 to 15, then the class mark for this interval will be:
Q14. If the sum of frequencies is 24, then the value of x in the observation: x, 5,6,1,2, will be;
Q15. Construction of a cumulative frequency table is useful in determining the
Q16. The abscissa of the point of intersection of the less than type and of the more than type cumulative frequency curves of a grouped data gives its
Q17. While computing mean of grouped data, we assume that the frequencies are
Q18. The empirical relationship between the three measures of central tendency is
Q19. The ________ of a class is the frequency obtained by adding the frequencies of all the classes preceding the given class.
Q20. The method used to find the mean of a given data is(are):
Q 21.Cumulative frequency curve is also called
Q 22. The relationship between mean, median and mode for a moderately skewed distribution is
Q 23. The median of set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set
Q 24. Mode and mean of a data are 12k and 15A. Median of the data is
Q 25. The abscissa of the point of intersection of the less than type and of the more than type cumulative frequency curves of a grouped data gives its
Q26. Mean of n numbers x1, x2, … xn is m. If xn is replaced by x, then new mean is
Q 27. While computing mean of grouped data, we assume that the frequencies are [NCERT Exemplar Problems]
Q 28. Mean of 100 items is 49. It was discovered that three items which should have been 60, 70, 80 were wrongly read as 40, 20, 50 respectively. The correct mean is
Q 29. For the following distribution the number of students who got marks less than 30 is
Q 30. For the following distribution the sum of lower limits of the modal class and the median class is
Q 31. While computing mean of grouped data, we assume that the frequencies are
Q 32. Which of the following can not be determined graphically?
Q34. For some integer m, every odd integer is of the form
Q35. If two positive integers a and b are written as a = p3q2 and b = pq3; p, q are prime numbers, then HCF (a, b) is:
Q36. The product of a non-zero number and an irrational number is:
Q37. If the HCF of 65 and 117 is expressible in the form 65 m – 117, then the value of m is
Q38. The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is
Q39. If two positive integers p and q can be expressed as p = ab2 and q = a3b; a, b being prime numbers, then LCM (p, q) is
Q40. The values of the remainder r, when a positive integer a is divided by 3 are:
Q41. As the number is divided by 3.So the remainder cannot be greater than divisor 3 also r is an integer. Therefore, the values of r can be 0, 1 or 2.
Q42. A rational number in its decimal expansion is 327.7081. What would be the prime factors of q when the number is expressed in the p/q form?