CA Foundation Quantitative Aptitude MTP June 2024: Question Paper and Solutions

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300 indexed questions. Open a question to read its full statement and available answer.

1. ₹ 407 are to be divided among A, B and C so that their shares are in the ratio 1 / 4 : 1 / 5 : 1 / 6 . The respective shares of A, B, C are:
2. A sum of ₹ 46875 was lent out at simple interest and at the end of 1 year 8 months the total amount was ₹ 50000. Find the rate of interest percent…
3. On 1st January every year a person buys National Saving Certificates of value exceeding that of his last years purchase by ₹ 100. After 10 years he…
4. If R is the set of positive rational number and E is the set of real numbers then :
5. A sum of money triples itself in 20 years. Using Simple Interest calculate number of years it would double itself.
6. ∑ i=4 7 √(2i-1) can be written as :
7. For any two sets A and B, A∩(A' ∪ B) = ................. where A' represent the compliment of the set A.
8. A person borrows ₹ 5000 for 2 years at 4% p.a. simple interest. He immediately lends to another person at 6.33% p.a. for 2 years. Find the gain in…
9. Find in what ratio will the total wages of the workers of a factory be increased or decreased if there be a reduction in the number of workers in…
10. A Geometric Progression consists of 2n terms. If the sum of the terms occupying the odd places is S 1 and that of the terms in even places is S 2 ,…
11. Determine the compound amount and compound interest on ₹ 1000 at 6% compounded semi-annually for 6 years. Given that (1 + i) n = 1.42576 for i = 3%…
12. Geometric means of p, p 2 , p 3 ................. P n will be:
13. At what interest rate will a sum doubles itself in 7 years, if the interest is compounded annually.
14. If x/y = z/w, implies y/x = w/z, then the process is called
15. "Is greater than" over the set of all natural number it known as
16. ₹ 5000 is invested in a Term Deposit Scheme that fetches interest 6% per annum compounded quarterly. What will be the interest after one year ? What…
17. The logarithm of a number consists of two parts, the whole part or the integral part is called the ________ and the decimal part is called the…
18. Simplify 2a × a 2/3 × 6a -7/3 / 9a -5/3 × a 3/2 if a = 4:
19. The simplified value of log 729 4 √(9 -1 × 27 -4/3 ) is:
20. [ (2) 2 × (4) 3/4 × (8) 5/6 × (16) 7/8 × (32) 9/10 ] 1/25
21. Mr. Natrajan wants to make an investment of ₹ 50,000 in one of the two banks that fetches him the maximum returns after 6 years. One bank offers 8%…
22. It is being given that one of the roots is half the sum of the other two solving x 3 - 12x 2 + 47x - 60 = 0 we get the following roots:
23. In what time will ₹ 3,90,625 amount to ₹ 4,56,976 at 8% per annum, when the interest is compounded semi-annually ? [Given : (1.04) 4 = 1.16986]
24. A distributor of apple juice has 5000 bottle in the store that it wishes to distribute in a month. From experience it is known that demand D (in…
25. The time by which a sum of money is 81 times itself at the rate of C.I. if it triple itself is 10 years
26. The difference between the compound interest and the Simple Interest on a certain sum of money at 5% per annum for 2 years is ₹ 1.50. Find the sum.
27. If P + √P = 6 / 25 , then value of P is equal to
28. Raja aged 40 wishes his wife Rani to have ₹ 40 lakhs at his death. If his expectation of life is another 30 years and he starts making equal annual…
29. A firm makes two types of products: Type A and Type B. The profit on product A is ₹ 20 each and that on product B is ₹ 30 each. Both types are…
30. The equation ( l-m / l+m ) x 2 - ( l+m / l-m ) x + m = 0 has got two values of x to satisfy the equation given as :
31. lim x → ∞ [ 1 3 +2 3 +3 3 +...+x 3 / x 4 ] is equal to
32. A function f(x) is defined as follows: f(x) = x when x = 1+x when x > 1 = 3/2 when x = 1
33. A man purchased a house valued at ₹ 300000. He paid ₹ 200000 at the time of purchase and agreed to pay the balance with interest at 12% per annum…
34. A code word is to consist of two distinct English alphabets followed by two distinct number from 1 to 9. How many such code words are there?
35. A company is considering proposal of purchasing a machine either by making full payment of ₹ 4000 or by leasing it for four years at an annual rate…
36. There are 10 students in a class, including 3 girls. The number of ways arrange them in a row, when any two girls out of them never come together:
37. Eight guests have to be seated 4 on each side of a long rectangular table. 2 particular guests desire to sit on one side of the table and 3 on the…
38. A seller makes an offer of selling certain articles that can be described by the equation x=25-2y where x is price per unit and y denotes the no. of…
39. The Supreme Court has given a 6 to 3 decision upholding a lower court; the number of ways it can give a majority decision reversing the lower court…
40. ∫ (x 2 + 1)/√(x 2 + 2) dx is equal to :
41. Following questions 41 to 43 find out the correctly coded alternative fromamongst the given four alternatives (a), (b), (c), (d). LETTER : CZNVRSWFD…
42. Direction: Find out the correctly coded alternative using the following coding key: LETTER: C Z N V R S W F D CODE DIGIT: 8 6 4 7 2 9 3 5 1 Find the…
43. Direction: Find out the correctly coded alternative using the following coding key: LETTER: C Z N V R S W F D CODE DIGIT: 8 6 4 7 2 9 3 5 1 Find the…
44. If HONEY is coded as JQPGA, which word is code as VCTIGVU?
45. I started walking down a road in the morning facing the Sun. After walking for sometime I turned to my left. Then I turned to my right. In which…
46. Roy walks 2 km to East, then turns North-West and walks 3 km. Then he turns South and walks 5 km. Then again he turns West and walks 2 km. Finally…
47. Deepa starts walking towards north and after a while she turns to her right. After walking some distance, she turns to his left and walks a distance…
48. A person facing North 70° clock wise direction moving in clockwise and 300° clock wise direction. Now, in which direction he presently…
49. (Q.49-51)Study the following information carefully to answer the given questions. Eight persons P to W are sitting in front of one another in two…
50. Who is to the immediate right of R?
51. Find the point of inflextion for the normal curve: f(x) = e -(x-10) 2 /32 for -∞
52. In Ogive, abscissa corresponding to ordinate N/2 is
53. A student computed regression coefficient of Y on X as 1.2 and that of X on Y as 0.9. Are these results correct:
54. For the following Probability distribution E(x) is equal to: X -4 -3 -2 -1 0 P(X) 0.1 0.2 0.3 0.2 0.2
55. Which of the following is correct?
56. The odds that a book will be reviewed favorably by 3 independent critics are 5 to 2, 3 to 4, 4 to 3 respectively, then the probability that out of 3…
57. Internal consistency of the collected data can be checked when:
58. A Random variables X follows uniform distribution in the interval [-3,7]. Then the mean of distribution is
59. For a Poisson variate X, P(X=1)=P(X=2). What is the mean of X?
60. For the distribution X 1 2 3 4 5 6 F 6 9 10 14 12 8 The value of median is
61. The two lines of regression become identical when:
62. The probability distribution of a random variable is as follows : X 1 2 4 6 8 P k 2k 3k 3k k
63. 1st quartile is 142, Semi-Inter quartile range is 18. Then median is
64. In a game, cards are thoroughly shuffled and distributed equally among four players. What is the probability that a specific player gets all the…
65. Symbolically, time reversal test is represented by:
66. The mean of 'n' observation is 'X'. If K is added to each observation, then the new mean is
67. If Arithmetic Mean and coefficient of variation of x are 5 and 20 respectively. What is the variance of (15-2x)?
68. The regression equations Y = a + bX and X = a' + b'Y are based on the method of
69. In 1996 the average price of a commodity was 20% more than in 1995 but 20% less than in 1994; and more over it was 50% more than in 1997 to price…
70. If it is known that the probability of a missile hitting a target is 1/8, what is the probability that out of 10 missiles fired, at least 2 will hit…
71. The following table gives distribution of wages of 100 workers: Wages (in Rs.) 120-140 140-160 160-180 180-200 200-220 220-240 240-260 No. of…
72. Coefficients of rang for x is β. If all observations are multiplied by 3 and then new coefficient of range is Kβ. Find the value of k.
73. In a sample of 800 students, the mean weight and standard deviation of weight are found to be 50 Kg and 20 Kg respectively. On the assumption of…
74. If Y ≥ x then mathematical expectation is
75. If x = 4 S, find C.V. :
76. If 'GOAL' is coded as 'HPBM' and 'FROCK' is coded as 'GSPTL' then how will 'LOFAR' be coded?
77. Graph of the following linear inequalities : x+y≥1, y≤5, x≤6, 7x+9y≤63, x≥0, y≥0 is given below; Mark the common region.
78. If mean and variance are 5 and 3 respectively then relation between p and q is :
79. The expenditues and savings of a person are in the ratio 4:1. If his savings are increased by 25% of his income, then what is the new ratio of his…
80. The sum of mean and SD of a series is a + b, if we add 2 to each observation of the series then the sum of mean and SD is :
81. What is the mean of X having the following density function? f(x) = 1 / 4√2π e - (x-10) 2 / 32 for - ∞ < x < ∞
82. In a Poisson distribution if P(x=4) = P(x= 5) then the parameter of Poisson distribution is:
83. Two events A and B are such that they do not occur simultaneously then they are called ______ events.
84. Data are said to be __________ if the investigator himself is responsible for the collection of data.
85. A suitable graph for representing the portioning of total into sub parts in statistics is:
86. Ram is known to hit a target in 2 out of 3 shots whereas Shyam is known to hit the same target in 5 out of 11 shots. What is the probability that…
87. If from a population with 25 members, a random sample without replacement of 2 members is taken, the number of all such samples is
88. The sum of two numbers is 75 and their difference is 20. Find the difference of their squares.
89. A room has 10 doors. In how many ways can a man enter the room by one door and come out by a different door.
90. The average of marks obtained by 120 students in a certain examination is 135. If the average marks of passed students is 39 and that of the failed…
91. If log a-b / 2 = 1 / 2 (log a + log b), the value of a 2 + b 2 is
92. In an election, there are five candidates contesting for three vacancies; an elector can vote any number of candidates not exceeding the number of…
93. The number of ways that 12 prizes can be divided among 4 students so that each may have 3 prizes is:
94. Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all the five balls. In how many different ways…
95. Find the sum of the series. 243 + 324 + 432 + ............ to n terms
96. The sum of the first eight terms of a G.P. is five times the sum of the first four terms; then the common ratio is
97. The sum of the following series 4 + 44 + 444 + ............ to n term is:
98. The Arithmetic Mean between two numbers is 15 and their G.M. is 9; then the numbers are -
99. Find the gradient of curve y = 3x 2 -5x+4 at the point (1, 2)
100. Evaluate: ∫ 0 2 x 2 / (x 2 - (5-x)) dx
101. If f'(x) = 3x 2 +2 & f(0) = 0 then find f(2).
102. A box contains 7 red, 6 white and 4 blue balls. How many selections of three balls can be made so that none is red?
103. The number of times a particular item occurs in a given data is called its
104. If the width of each of ten classes in a frequency distribution is 2.5 and the lower class boundary is 5.1, then the upper class boundary of the…
105. Let L be the lower class boundary of a class in a frequency distribution and m be the mid point of the class. Which one of the following is the…
106. The mean of the values of 1, 2, 3 ...... n with respective frequencies x, 2x, 3x, ...... nx is
107. The correlation between two variables x and y is found to be 0.4. What is the correlation between 2x and (−y) ?
108. Correlation Co-efficient is _________ of the units of measurements
109. If for two variable x and y, the covariance, variance of x and variance of y are 40, 16 and 256 respectively, what is the value of the correlation…
110. The coefficient of rank correlation of marks obtained by 10 students in English and Economics was found to be 0.5, it was later discovered that the…
111. If r = 0.5, ∑xy = 120, σy = 8, ∑x 2 = 90, then value of n is equal to _________
112. For a (m×n) classification of bivariate data, the maximum number of conditional distributions is
113. _________ is an extension of time reversal test.
114. Fisher's method for construction of Index Numbers uses _________
115. The consumer price index in 1990 increases by 80- per cent as compared to the base 1980. A person in 1980 getting ₹ 60,000 per annum should now get
116. If 'INSURE' is coded as 951395, then how will ‘PATRIOT' be coded?
117. If in a certain code ‘493' means ‘Friendship difficult challenge', ‘961', means, 'Struggle difficult Exam., and ‘178’means ‘Exam believable…
118. In the following series, which number will replace the question mark: 23, 29, 31, 37, 41, 43, ?
119. In the following letter-series some letters are missing. The missing letters are given in the proper sequence as one of the alternatives. Find the…
120. A and B both are children of C. If C is the mother of A, A is the son of C but B is not the daughter of C, then how are A and B mutually related?
121. A husband and wife had five married sons and each of these had four children. How many members are there in the family?
122. Pointing to the lady in the photograph, Seema said, "Her son's father is the son-in-law of my mother." How is Seema related to the lady?
123. In the expression F $D%K@H* R, how is D related to R?
124. In the expression A %B @K*H% P, how is B related to P?
125. The length and breadth of a room are 8 m and 6 m respectively. A cat runs along all the four walls and finally along a diagonal order to catch a…
126. If A x B means A is to the south of B; A + B means A is to the north of B; A % B means A is to the east of B; A - B means A is to the west of B;…
127. P started from his house towards west. After walking a distance of 25 m. He turned to the right and walked 10 m. He then again turned to the right…
128. A man is facing north. He turns 45 degree in the clockwise direction and then another 180 degree in the same direction and then 45 degree in the…
129. A child is looking for his father. He went 90 meters in the east before turning to his right. He went 20 meters before turning to is right again to…
130. (55-56) A, B, C, D, E, F and G arc sitting in a straight line facing north, but not necessarily in the same order. There is only one person between…
131. Who among the following sit at the extreme ends on the row ?
132. Who among the following sits to the immediate right of D
133. In a line, P is sitting 13th from left. Q is sitting 24th from the right and 3rd left from P. How many people are sitting in the line?
134. Four ladies A, B, C and D and four gentlemen E, F, G and H are sitting in a circle round a table facing each other. Directions: (1) No two ladies or…
135. If the mean deviation of a normal variable is 16, what is its quartile deviation?
136. An Ogive can be prepared in ______ different ways.
137. ______ is an absolute measure of dispersion.
138. The wages of 8 workers expressed in rupees are 42, 45,49,38,56,54,55,47. Find median wage?
139. If the Standard Deviation of 10 observations is 4 and if each item is divided by - 2 then Standard Deviation of new series is
140. If the relationship between x and y is given by 4x– 6y =13 and if the median of x is 16. Find median of y.
141. Two variables x and y are related by 5x+ 2y+ 5 = 0 and x = 5, then y is
142. Find Q 1 for the following observations: 7,9,5,4,10,15,14,18,6,20
143. ______ is the entire upper part of the table which includes columns and sub-column numbers, unit(s) measurement.
144. If P(A)= 1 / 2 ; P(B)= 1 / 3 and P(A∩B) = 1 / 4 then the value of P(A∩B) is
145. From the following probability distribution table, find E(x). x: 1 2 3 f(x): 1 / 2 1 / 3 1 / 6
146. In a box carrying one dozen of oranges, one third has become bad. If 3 oranges are taken out from the box at random, what is the probability that at…
147. Find the effective rate of interest at 10% p.a. when interest is payable quarterly.
148. Arslan invested ₹ 10,000 at 8% per annum compound quarterly, then the value of the investment after 2 years is [given (1.02) 8 = 1.171659]
149. The future value of an annuity of ₹ 1,000 made annually for 5 years at the interest of 14% compounded annually is:
150. A man invests an amount of ₹ 15,860 in the names of his three sons A, B and C in such a way that they get the same interest after 2,3 and 4 years…
151. What annual payment will discharge a debt of ₹ 770 due in years, the rate of interest being 5% per annum?
152. In _______ receipts / payments takes place forever.
153. Present value of a scooter is ₹7,290 if its value decreases every year by 10% then its value before 3 years is equal to:
154. How much amount is required to be invested every year so as to accumulate ₹3,00,000 at the end of 10 years, if interest is compounded annually at 10%?
155. The relation between two variables is 2x−3y+12=0. If mean deviation of y is 6 then mean deviation of x is
156. A company may obtain a machine either by leasing it for 5 years (useful life) at an annual rent of Rs. 2,000 or by purchasing the machine for Rs.…
157. The time by which a sum of money is 8 times of itself if it doubles itself in 15 years.
158. Mr. X invests ‘P’amount at Simple Interest rate 10% and Mr. Y invests 'Q' amount at Compound Interest rate 5% compounded annually. At the end of two…
159. In what time will a sum of money double its y at 6.25% p.a. simple interest?
160. If two variables x and y are related by 2x and 3y – 7 = 0 and the mean and mean deviation about mean of x are 1 and 0.3 respectively, then the…
161. Which of the following result hold for a set of distinct positive observations?
162. For a set of 100 observations, taking assumed mean as 4, the sum of the deviations is -11 cm, and the sum of the squares of these deviations is 257…
163. _______ & _______ are called ratio averages:
164. If X and Y are two random variables then v( x+y ) is:
165. Mean and S.D. of x is 50 and 5 respectively, Find mean and S.D. of x-50 / 5
166. A letter is taken out at random from the word RANGE and another is taken out from the word PAGE. The probability that they are the same letters is :
167. A bag contains 8 red and 5 white balls. Two successive draws of 3 balls are made without replacement. The probability that the first draw will…
168. Daily demand for calculators is having the following probability distribution: Demand | 1 | 2 | 3 | 4 | 5 | 6 Probability: | 0.10 | 0.15 | 0.20 |…
169. One Card is drawn from pack of 52, what is the probability that it is a king or a queen?
170. Let R is the set of real numbers such that the function f : R → R and g : R → R are defined by by f(x) = x 2 +3x+1 and g(x) = 2x-3. Find…
171. In a town of 20,000 families it was found that 40% families buy newspaper A, 20% families buy newspaper B and 10% families buy newspaper C, 5%…
172. Given the function f(x) = (2x +3), then the value of f(2x)-2f(x) + 3 will be:
173. if (x+1), 3x (4x+2) are in A.P. Find the value of x
174. Divide 144 into three parts which are in AP and such that the largest is twice the smallest, the smallest of three numbers will be:
175. Find the variance of binomial distribution with n = 10, p = 0.3
176. P, Q and R three cities. The ratio of average temperature between P and Q is 11: 12 and that between P and R is 9:8. The ratio between the average…
177. The third proportional between (a 2 -b 2 ) and (a+b) 2 is :
178. If 8 th term of an AP is 15, the Sum of the 15 its term is
179. For what values of x, the number 2 / 7 , x, 7 / 2 are in G.P.?
180. For what value of x; the sequence x+1, 3x, 4x+2 are in AP?
181. If a 1/x = b 1/y = c 1/z and a,b,c are in GP then x, y, z are in
182. The derivative of e x logx
183. If y = √( 1-x / 1+x ) then (1-x 2 ) dy / dx =
184. Find the gradient of the curve y = 3x 2 -6x+4 at the point (1, 2)
185. The equation of the curve in the form y = f(x) if the curve passese through the point (1, 0) and Find f'(x) = 2x-1 is
186. ∫ 1 / xlogx dx =?
187. ∫ 2x / 1+x 2 dx is equal to
188. Find fog for the functions f (x) = x 8 , g(x) = 2x 2 +1
189. The number of proper subsets of the set {3, 4, 5, 6, 7} is
190. On the sets of lines in a plane the Relation “is perpendicular to” is
191. In how many ways 3 prizes out of 5 can be distributed amongst 3 brothers equally
192. There 12 questions to be answered to be Yes or No. How Many ways this can be answered -
193. 15 C 3r = 15 C r+3 , then r is equal to
194. A polygon has 44 diagonals then the number of sides are
195. The number of ways of painting the six faces of a cube with six different given colours is
196. How many Six-digit telephone numbers can be formed by using 10 distinct digits
197. nC 1 +nC 2 +nC 3 +.........=
198. The value of log 0.1 0.001 =
199. if log 4 x = -3/2. Then x is
200. A number consists of two digits. The digits in tens place is 3 times the digit in the unit's place. If 54 is subtracted from the digits are…
201. The equation x 2 -(P+4) x + 2P+5 = 0 has equal roots The value of p is
202. In the above table corresponding values of two variable x and y have been given. Which of the following equations establishes the relationship…
203. A manufacturer produces two items A and B. He has ₹10,000 to invest and a space to store 100 its ms. A table costs him ₹400 and a chair ₹100.…
204. The difference between compound and simple interest at 5% per annum for 4 years on ₹ 20,000 is -
205. In how many years will a sum of money double at 5% p.a compounded interest?
206. A machine worth ₹ 4,90,740 is depreciated at 15% of its opening value each year. When would its value reduce by 90%?
207. Assuming, that discount rate is 7% per annum, how much would you pay to receive ₹50, growing at 5%, annually, forever.
208. Future value of Ordinary Annuity
209. Nominal rate of Interest 9.9% p.a. If Interest is compounded monthly. What will be the effective rate of Interest? (Given 4033 / 4000 = 1.1036)
210. A machine worth of ₹ 4,90,740 is depreciated at 15% on its opening value each year. When its value reduces to ₹ 2,00,000
211. A sinking fund is created redeeming debentures worth ₹ 5,00,000 at the end of 25 years. How much provision need to be made out of profits each year…
212. Nominal Rate of Return =
213. Net Present value≥ 0, then
214. A sum of Money doubles itself at compound interest in 10 years. In how many years will it become eight times
215. The time in which a sum of money will be doubled at 6% compound interest compounded interest compounded annually approximately.
216. 18, 24, 21, 27, ?, 30, 27
217. 5, 7, 11, ?, 35, 67
218. If GARDEN is coded as 325764 and WATER as 92165, how can we code the word WARDEN in the same way?
219. If F = 6, MAT=34, then how much is CAR?
220. Find next term of the series, 4, 9, 16, 25, 36, 49, ?
221. Find odd man out of the series 16, 25, 36, 72, 144, 196, 225
222. Raju starts from point A and walks 1 km towards south, turns left and walks 1 km. Then he turns left again and walks 1 km. now he is facing?
223. Roopa starts from a point and walks 15 metre towards west, turns left and walks 12 metre, turns right again and walks. What is the direction she is…
224. A car travelling from south to north covers a distance of 8 kms, then turns right and runs another 9 kms and again turns to the right and was…
225. There are five houses P, Q, R, S and T. P is right of Q and T is left of R and right of P. Q is right of S. Which house is in the middle?
226. Six friends A, B, C, D, E and F are sitting in a row facing towards North, C is sitting between A and E, D is not at the end, B is sitting at…
227. Six girls are standing in such a way that they form a circle, facing the centre. Subbu is to the left of Pappu, Revathi is between Subbu and Nisha,…
228. A is B's brother. C is D'S father. E is B's mother. A and D are brothers. How is E related to C?
229. A is B's brother, C is A's mother, D is C's father, E is B's son, How is B related to D?
230. A is the mother of D and sister of B. B has a daughter C who is married to F. G is the husband of A. How is G related to D?
231. P and Q are brothers. R and S are sister. P's son is S's brother. How is Q related to R?
232. Pointing out to a photograph, a man tells his friend, “She is the daughter of the only son of my father's wife.” How is the girl in the photograph…
233. A party consists of grandmother, father, mother, four sons and their wives and one son and two daughters to each of the sons. How many females are…
234. Shyam goes 5 km in the North from his school. Now, turning to the left, he goes to 10 km and again turns to left and goes to 5 km. How far he is…
235. Rasik walked 20 m towards north. Then he turned right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 15 m.…
236. The ______ is satisfied when P ab × P bc × P ca = 1
237. The index number of prices at a place in 2008 is 355 with 2003 as base. This means -
238. The number of tests of Adequacy
239. If two events A and B are independent, the probability that both will occur is given by
240. If p: q is the odds in favor of an event, then the probability of that event is -
241. If P (A) = 4/9; then the odd against the event 'A' is
242. If two letters are taken at random from the word HOME, what is the Probability that none of the letters would be vowels?
243. Equations of two lines of regression are 4x+3y+7 = 0 and 3x+ 4y + 8 = 0, the mean of x and y are
244. Correlation Co-efficient is ______ of the units of measurements
245. If for two variable x and y, the covariance, variance of x and variance of y are 40, 16 and 256 respectively, what is the value of the correlation…
246. Statistics is concerned with
247. The standard deviation of 25, 32, 43, 53, 62, 59, 48, 31, 24, 33 is
248. The quartile deviation of a normal distribution with mean 10 and standard deviation 4 is
249. If the range of x is 2, what would be the range of – 3x + 50?
250. If the quartile deviation of a normal curve is 4.05, then its mean deviation is
251. The mean of first 3 terms is 14 and the mean of next 2 terms is 18. The mean of 5 numbers is -
252. The Standard deviation is independent of change of
253. If two variables are uncorrelated then regression lines are
254. When 'p' = 0.5, the
255. In a normal distribution skewness is
256. If mean and standard deviation of a binomial distribution is 10 and 2 respectively; q will be
257. Which one is not a condition of Poisson model
258. In ______ distribution, mean = variance.
259. The points of inflexion of the normal curve f(t) = 1 / √(2π) e -(t-10) 2 / 32 are
260. The total area of the normal curve is the
261. 'Stub' of a table is the _______ part of the table describing the _______
262. The pair of averages whose value can be determined graphically.
263. Find the Expected value of the following distribution
264. The tests of shifting bases are called _______
265. Purchasing power of money is stated as _______ price index?
266. If ∑P 0 Q 0 =1360, ∑P 1 Q 0 = 1900, ∑P 0 Q 1 = 1344, ∑P 1 Q 1 = 1880, then the Laspeyres Index number is
267. The difference between the upper and lower limit of a class is called
268. A man travels from Delhi to Agra at an average speed of 30km per hour and back at an average speed of 60 km per hour. What's the average Speed.
269. If the mean of frequency distribution is 100 and coefficient of variation is 45% then standard deviation is.
270. if the mean and SD of X are a and b respectively, then the S.D of X-a / b is
271. If one regression coefficient is greater than one, then other will be:
272. The maximum value of correlation coefficient is
273. What is exclusive Series
274. If the arithmetic mean between two numbers is 64 and the Geometric Mean between them is 16. The Harmonic mean between them is _______
275. When the mean is 3.57 and mode is 2.13, then the value of median is _______
276. In which of the following pairs, persons are sitting in front of each other?
277. P, Q, R, S, T, U are 6 members of a family in which there are two married couples. T, a teacher is married to a doctor who is mother of R and U. Q…
278. Suresh's sister is the wife of Ram. Ram is Rani's brother. Ram's father is Madhur. Sheetal is Ram's grandmother. Rema is Sheetal's daughter-in-law.…
279. Vijay says, Anand's mother is the only daughter of my mother”. How is Anand relation to Vijay?
280. If P + Q means P is the mother of Q, P ÷Q means P is the father of Q, P - Q means P is the sister of Q. Then which of the following…
281. Ramu's mother said to Ramu, “My mother has a son whose son is Achyut”. How is Achyut relation to Ramu?
282. Pointing towards a man, Ritika said “He is the son of my grandfather's only son", How is Ritika related to that man?
283. AZ, CX, FU, ?
284. Five students are standing one behind the other in the play ground facing the instructor. Malini is behind Anjana, but in front of Gayathri. Meena…
285. Eight people A, B, C, D, E, F, G and H are placed as shown in the diagram. All are facing in the outward direction. If all of them move…
286. The most appropriate diagram to represent 5 year plan outlay of India in different economic sectors is
287. The following data relate to the marks of a group of students: Marks : Below 10 Below 20 Below 30 Below 40 Below 50 No. of students: 15 38 65 84 100…
288. Which of the following graph is suitable for cumulative frequency distribution?
289. The primary object of sampling is to obtain_________________________ information about population with_______________ effort:
290. If from a population with 25 members, random sample without replacement of 2 members is taken, the number of all such samples is:
291. What is the HM of 1, 1 / 2 , 1 / 3 , ............................... 1 / n ?
292. The SD of first n natural numbers is _________:
293. The rate of returns from three different shares are 100%, 200% and 400% respectively, the average rate of return will be ___________ :
294. For 10 pairs of observations the sum of the squares of differences between the corresponding ranks was 55. Value of spearmen’s rank correlation…
295. ____________ is necessary on account of a new method of calculation or the inclusion of new commodity in the index:
296. A sample of size 3 is taken from a population of 10 members without replacement. If the sample observations are 1, 3 and 5 what is the estimate of…
297. Find the probable error if r = 2 / √10 and n = 36.
298. Given below are the date on prices of some consumer goods and the weights attached to the various items Compute price index number for the year 1985…
299. The harmonic mean H of two numbers is 4 and the arithmetic mean A and geometric mean G satisfy the equation 2A + G 2 = 27. The two numbers are:
300. Cost of living index numbers are also used to find real wages by the process of :