SSC CGL Exam 2024 Tier-II Official Paper (Held On: 18 Jan, 2025 Shift 1)

SSC CGL Exam 2024 Tier-II Official Paper (Held On: 18 Jan, 2025 Shift 1) with official questions, answers, and practice mock test.

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Section 1

General Intelligence and Reasoning

25 questions Section Test

A man buys 10 identical articles for a total of ₹15. If he sells each of them for ₹1.7, then his profit percentage will be ______%'(rounded off to two decimal place).

MCQ

Find the median of the following data. (Rounded off to 2 decimal places.) Class interval 0-5 5-10 10-15 15-20 20-25 25-30 30-35 Frequency 3 5 4 2 7 6 5

MCQ

Let ABC be a right-angled triangle with a right angle at B. If tan A = V 3, then find the value of sin A cos C cos Asin Cand cos A cos C-sin Asin C.

MCQ

Simplify (5 z 12 y)2 + (12 z + 5 y)2 144 z

MCQ

02 + The value of 43 - 8 + 7 x 6

MCQ

In this question, two statements are followed by four conclusions given as options. Decide which conclusion is definitely true, based on the given statements. Statements: A < B ≥ C > D C > E ≥ F = G

MCQ

A question is given, followed by two statements labelled I and II. Identify which of the statements is/are sufficient/necessary to answer the question. Question: In a certain code language, ‘fire in mountain’ is coded as ‘si ph bo’. What is code for ‘fire’? Statements: (I) ‘mountain’ is coded as ‘bo’. (II) ‘ice and fire’ is coded as ‘si yu ca’.

MCQ

Select the option figure in which the given figure is embedded as its part (rotation is NOT allowed).

MCQ

Given below is a statement (Cause) followed by possible effects numbered I, II and III. Read the ‘Cause’ carefully and decide which of the three can be possible effect/s. Cause – Many people in City X have reported receiving two electricity bills this month, instead of one. Effect I – The Electricity Board has published the details of areas where power shutdowns are expected tomorrow in City X. Effect II – The municipal commissioner of City X has clarified that the technical glitch which led to multiple electricity bills being generated would be resolved within 48 hours. Effect III – Long queues were seen outside the electricity board offices in many localities.

MCQ

In a certain code language, ‘POSE’ is coded as ‘3517’ and ‘SILK’ is coded as ‘4638’. What is the code for ‘S’ in the given code language?

MCQ

Select the correct mirror image of the given combination when the mirror is placed at line MN as shown.

MCQ

Figure A is related to B in a certain pattern. Following the same pattern, figure C is related to D. Study the pattern and select the figure which should be in place of D.

MCQ

Select the option figure that will replace the question mark (?) in the figure given below to complete the pattern.

MCQ

Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding / subtracting / multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (215, 185, 135) (276, 246, 196)

MCQ

How many meaningful English words can be formed using first, third, sixth and seventh letters of the word RECOGNIZE (when counted from left to right) using all the letters but each letter only once in each word?

MCQ

The following contains two pairs of words which are related to each other in a certain way. Three of the following four word-pairs are alike as these have the same relationship and thus form a group. Which word-pair does NOT belong to that group? (The words must be considered as meaningful English words and must not be grouped based on the number of letters/number of consonants/vowels in the word)

MCQ

Read the following information and answer the question which follows. “Similar to expert puzzle solvers, Solver S employs systematic problem- solving approaches, ensuring efficient and accurate resolutions to complex challenges." Which of the following can be inferred from the given statement? (An inference is something which is not directly stated but can be derived from the given facts/information in the statement) 1. The efficiency and accuracy of Solver S in resolving complex challenges may be attributed to their systematic problem-solving methods. 2. Solver S utilizes systematic problem-solving approaches, similar to expert puzzle solvers.

MCQ

U is the father of N. N is the sister of T. T is the wife of I. I is son of L. How is U related to L?

MCQ

Select the correct option that indicates the arrangement of the following words in a logical and meaningful order. 1. Design 2. Test 3. Conceptualize 4. Develop 5. Implement

MCQ

Select the correct option that indicates the arrangement of the following words in a logical and meaningful order. 1. Delivery 2. Finished Paper 3. Dry 4. Pulp 5. Press

MCQ

Select the number from among the given options that can replace the question mark (?) in the following series. 9, 5, 6, 10.5, 23, ?

MCQ

Each of P, Q, R, S, T, U and V has an exam on a different day of a week, starting from Monday and ending on Sunday of the same week. Q has the exam on Saturday. Only two people have exams between S and Q. R has the exam before S, but after P. U has the exam immediately after T. On which of the following days does V have the exam?

MCQ

In a certain code language, A + B means ‘A is the mother of B’, A – B means ‘A is the brother of B’, A x B means ‘A is the wife of B’ and A ÷ B means ‘A is the father of B’. Based on the above, how is U related to Z if ‘U + V ÷ W – Y x Z’?

MCQ

Four of the following five figures are alike in a certain way and thus form a group. Which is the one that does NOT belong to that group?

MCQ

Identify the figure given in the options which when put in place of the question mark (?) will logically complete the series.

MCQ

Section 2

General Awareness

25 questions Section Test

Select the option that expresses the given sentence in direct speech. The District Magistrate ordered the police to work all night and put an end to those riots.

MCQ

Select the most appropriate meaning of the underlined idiom. The team decided to pull out all the stops for their upcoming presentation.

MCQ

Select the option that expresses the given sentence in passive voice. Everyone was surprised at his speech.

MCQ

Complete the dialogue for Person B using the correct idiom. Person A: I am so nervous. I don’t think I should make the speech tomorrow. Person B: No. You are just getting _____. You have prepared for this.

MCQ

Select the most appropriate option to fill in the blank. Luck does not always favour us, so we must always depend _______ our own efforts for success.

MCQ

Parts of a sentence are given below in jumbled order. Arrange the parts in the correct order to form a meaningful sentence. a. beginning in the 19th century, b. was long a mystery, and c. the origin of the Moon d. three competing theories emerged to solve it

MCQ

Select the most appropriate option to fill in the blank. The mango is the_________ fruit.

MCQ

Select the option that expresses the given sentence in passive voice. The explosion caused serious damage in Ukraine.

MCQ

Select the most appropriate ANTONYM of the word given below. Enhance

MCQ

Select the option that can be used as a one-word substitute for the given group of words. A sudden and violent change or upheaval

MCQ

Select the most appropriate ANTONYM of the given word. Generous

MCQ

Parts of the following sentence have been given as options. Select the option that contains an error. It takes me an hour to get to work at the moment, but when the new road is finished it be much quicker.

MCQ

Select the most appropriate pronoun to fill in the blank. Mr. Amit Kumar, Proprietor of Xyling Pens is known for _________ honesty and decent behaviour in the business arena.

MCQ

Select the most appropriate ANTONYM of the given word. Accumulated

MCQ

Select the most appropriate option to fill in blank number 1.

MCQ

Select the most appropriate option to fill in blank number 2.

MCQ

Select the most appropriate option to fill in blank number 3.

MCQ

Select the most appropriate option to fill in blank number 4.

MCQ

What was the primary reason for the Japanese to support Subhas Chandra Bose and the formation of the INA?

MCQ

What ultimately undermined the INA’s efforts to free India from British rule?

MCQ

What was the significance of Bose’s slogan ‘Jai Hind’?

MCQ

How did Subhas Chandra Bose view India’s fight for independence?

MCQ

What does the term 'multiphyletic group' mean in the context of algae?

MCQ

Which statement accurately describes vascular plants based on the information in the passage?

MCQ

According to the passage, which is the main pigment in algae for photosynthesis?

MCQ

Section 3

Quantitative Aptitude

25 questions Section Test

∆ABC is inscribed in a circle with Centre O. If AB = 21 cm, BC = 20 cm and AC = 29 cm, then what is the length of the circumradius of the triangle?

MCQ

On a 2200 m long circular track, Sarita and Kavita drove their cycles from the same point but in opposite direction with the speeds 20 km/hr and 16 km/hr, respectively. After how much time will they meet again for the first time?

MCQ

In a triangle HJK, HJ = HK. G is a point on HJ such that HG = GK = JK. What is the degree measure of two-third of (∠HGK + ∠GKJ)?

MCQ

Find the simple interest (in ₹) on ₹2000 at 6.5% per annum rate of interest for the period from 14 February 2023 to 28 April 2023

MCQ

The population of a place increased to 50,000 from 2016 to 2018 at the rate of 6% per annum, and continued the same trend for the next 3 years. If A is the population in 2016 and B is the population in 2020, both are approximated to the next possible integers, then the value of B − A is:

MCQ

th area so wo similar ti angles are the ratio 22

MCQ

Find the value of Y, if X− 2Y + 2Z = 16, X − Y + Z = 9 and 2X − 3Y − Z = 9.

MCQ

Rani and Adya, working separately, can finish a task in 12 days and 16 hours, respectively. They work in stretches of one day alternately. If Rani starts working first, then the task will be completed in

MCQ

Let A and B be two players who are playing the game to hit the target. The probabilities of hitting the target by A and B is and , respectively. What is the probability that exactly one of them hit the target?

MCQ

On the occasion of Republic Day, a retail store offers a scheme where customers can avail a discount of 26% on their total purchase. If Manish buys items worth ₹2,050, how much money (in ₹) will he save through the scheme discount?

MCQ

Vessel A contains milk and water in the ratio 4 : 5. Vessel B contains milk and water in the ratio 2 : 1. If x litres mixture of A is mixed with y litres mixture of B, then the ratio of milk to water in the mixture becomes 8 : 5. Find the ratio x : y.

MCQ

The average of first 91 even numbers is

MCQ

Find the volume (in cm3, rounded off to 2 decimal places) of a right circular cone of diameter 12 cm and height 5 cm. [Use π = ]

MCQ

6859 X 42 =? V 1296 57

MCQ

If x=8 +V 5 8- V 5 t and y= 8 then the value of x? + y is:

MCQ

A sum of money is to be distributed among 3 friends P, Q and R in the proportion of 5 : 3 : 4 . If P gets₹1,500 more than R, what is Q's share?

MCQ

It an yan then find the value of fan

MCQ

Using empirical formula, calculate the mode for the following data. 17, 20, 21, 18, 25, 28, 24, 22, 16, 24, 25, 24

MCQ

sec-tane e lies first quadrant, then If in the f n the vali seco tan e

MCQ

(a × b°× c) in simplified form is: (a° × b 5 × c 4)

MCQ

By how much is 60%of 75 greater than of 252

MCQ

[Image / Diagram based question]

MCQ

A toy is in the form of a cone mounted on a hemisphere. The radius of the hemisphere and that of the cone is 36 cm and height of the cone is 105 cm. The total surface area (in cm2) of the toy is:

MCQ

Anil and Beena are friends, and the difference between their ages is 5 years. Anil’s father Dinesh is three times as old as Anil, and Beena is twice as old as her sister Charu. The ages of Dinesh and Charu differ by 45 years. If Beena is older than Anil, then find the sum of the present ages of both Dinesh and Charu.

MCQ

The height of a right circular cone is 63 cm and the area of its curved surface is five times the area of its base. What is the volume (in cm3) of the cone? (Use π = 22/7)

MCQ

Section 4

English Comprehension

175 questions Section Test

In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. In three of the four pairs, the same pattern is applied and hence they form a group. Select the number-pair that does NOT belong to this group. (NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

MCQ

A question is given, followed by two statements labelled I and II. Identify which of the statements is/are sufficient/necessary to answer the question. Question: Arvind has blue, green and white marbles. What is the percentage of white marbles out of all the marbles he has? Statements: (I) The sum of blue and green marbles he has is 7. (II) He has 3 white marbles out of 10 marbles.

MCQ

Six letters P, Q, S, T, U and V are written on different faces of a dice. Two positions of this dice are shown in thefigure. Find the letter on the face opposite to T.

MCQ

If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, what will be come in place of the question mark (?) in the following equation? 55 B 5 D 13 B 2 C 14 A 7 D 15 B 5 C 102 A 2 C 15 = ?

MCQ

Each of the digits in the number 5238641 is arranged in ascending order from left to right. The position(s) of how many digits will remain unchanged as compared to that/those in the original number ?

MCQ

A statement is followed by two arguments I and II. Read the statement and the arguments carefully and select the appropriate answer from the given options. Statement: Hydroelectricity is a cleaner and greener energy than other forms of power generation. Arguments: (I) Hydroelectric plants almost have nil CO2 emissions. (II) Hydroelectric power projects submerge huge amounts under water thereby affecting local flora and fauna.

MCQ

Which of the following letter-clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left side of :: is the same as that on the right side of ::? # : XAF :: SVA : %

MCQ

O, P, Q, R, S and T are sitting around a circular table facing the centre(but not necessarily in the same order). P sits second to the left of T. S sits third to the right of Q. Q is not an immediate neighbour of P. O sits second to the right of S. Which of the following represents the position of O with respect of R?

MCQ

Read the given statements and conclusions carefully. Assuming that the information given in the statement(s) is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statement(s). Statements: All sheeps are cows. Some cows are horses. All horses are jackals. Conclusion: (I) Some jackals are cows. (II) Some horses are sheeps.

MCQ

In a certain code language, ‘she gardens daily’ is coded as ‘ak jb mp’ and ‘where is she’ is coded as ‘mp pt kt’. How is ‘she’ coded in the given language?

MCQ

Select the correct spelling of the incorrectly spelt word in the given sentence. The trainer tried to guage the learners' understanding of the subject by asking several new questions.

MCQ

Select the most appropriate meaning of the underlined word. He walked leisurely towards the entrance.

MCQ

Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph. A. It consists of a terracotta army of approximately 8000 life-sized men and horses. B. Each of the horses and men is individually sculpted by a 3-inch-thick terracotta clay and looks unique. C. Shi Huangdi was the founder of Qin Dynasty and was the first ruler of unified China in 221 BC. D. His mausoleum was recently discovered in 1974 by Chinese peasants who were drilling a well.

MCQ

Parts of a sentence are given below in jumbled order. Select the option that gives their correct logical sequence to form a meaningful sentence. a. it requires constant sustenance b. in order for life to be liveable, c. that enable it to grow and develop d. and favourable circumstances

MCQ

Select the most appropriate option to fill in the blank. No other book in the series captivated readers as _________________ as the final installment.

MCQ

A sentence has been split up into segments and given below in jumbled order. While the first and the last segments of the sentence (1 and 6) are in the correct order, the segments in between are jumbled up. Arrange the segments in the correct order to form a meaningful and coherent sentence. 1) India has been a land P) and the learned man has been held in higher esteem Q) of learning through the ages R) but in the sense that learning has always been very highly valued S) not indeed in the sense that education has been universal 6) than the warrior or the administrator.

MCQ

Select the option that expresses the given sentence in reported speech. 'I am determined to publish my findings,' the scientist asserted confidently.

MCQ

Select the option that can be used as a one-word substitute for the given group of words. One who cannot make a mistake

MCQ

Select the most appropriate homophone from the options to fill in the blank. We should _________ away all prejudices to live in harmony.

MCQ

Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph. A. As cost of raw materials cannot be reduced, exporters try to cut labour costs. B. Large MNCs in the garment industry in Europe and America order their products from Indian exporters. C. These large MNCs with worldwide network look for the cheapest goods in order to maximise their profits. D. To get these large orders, Indian garment exporters try hard to cut their own costs. E. Where earlier a factory used to employ workers on a permanent basis, now they employ workers only on a temporary basis so that they do not have to pay workers for the whole year.

MCQ

Select the correct spelling of the incorrectly spelt word in the given sentence. All criminal attitudes must be niped at the bud.

MCQ

Select the option that expresses the given sentence in direct speech. The teacher informed that the exam had been postponed.

MCQ

Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph. A. Psychotherapy is a voluntary relationship between the one seeking treatment or the client and the one who treats or the therapist. B. The relationship is conducive for building the trust of the client so that problems may be freely discussed. C. The purpose of the relationship is to help the client to solve the psychological problems being faced by her or him. D. Psychotherapies aim at changing the maladaptive behaviours, decreasing the sense of personal distress and helping the client to adapt better to her/his environment. E. Inadequate marital, occupational and social adjustment also requires that major changes be made in an individual’s personal environment.

MCQ

Select the most appropriate option to fill in the blank. Rashid was not able to _____ the pain after the accident.

MCQ

100

Select the option that expresses the given sentence in passive voice. Did you hear that noise?

MCQ

101

What is the central theme of the passage?

MCQ

102

Select the most appropriate synonym of the word ‘Inherent’.

MCQ

103

What is the meaning of the phrase ‘a clarion call’ in the passage?

MCQ

104

Select the most appropriate option to fill in blank no. 1.

MCQ

105

Select the most appropriate option to fill in blank no. 2.

MCQ

106

Which of the following sentences is/are true? i. All isoclines are expansion paths but all expansion paths are not isoclines. ii. Short-run production functions involve adjusting all inputs, including fixed inputs like land or capital, to affect output. iii. Stock resources are the resources which are not used in one period of production but can be stored for a later period.

MCQ

107

Which of the following is a monoatomic gas?

MCQ

108

Select the most appropriate answer from the options given below regarding Census 2011. Statement 1. The population of India has increased by more than 181 million during the decade 2001-2011. Statement 2. The percentage decadal growth during 2001-2011 has registered the sharpest decline since Independence.

MCQ

109

What is the name of the ion with a charge of −1?

MCQ

110

In December 1991, which act was amended to bring public enterprises under the purview of the Board for Industrial and Financial Reconstruction (BIFR) as part of the country's economic reforms program?

MCQ

111

Which theory, independently introduced in 1923, led to the concept of acid- base conjugate pairs?

MCQ

112

Who mentioned ecosystem as 'the basic unit in ecology' in 1956?

MCQ

113

Identify the naturally occurring aluminum oxide mineral that usually forms hexagonal barrel-shaped prisms.

MCQ

114

The Bharatmala project of the Government of India comes under which of the following Ministries of India?

MCQ

115

Mathura was the second capital of ________ dynasty.

MCQ

116

Which of the following statements is/are correct? Statements: 1) Ampere's Law describes the relationship between electric current and the magnetic field it produces. 2) Maxwell's equations are a set of four fundamental equations governing electric and magnetic fields in the absence of charges and currents.

MCQ

117

Charcot-Marie-Tooth disease is caused by duplication of the peripheral myelin protein-22 (PMP22) gene on which chromosome?

MCQ

118

Which portal allowed stakeholders seamless access to information related to funding, documentation, project monitoring, and approval through four efficient ways of logging in for monitoring the implementation of Centrally Sponsored Schemes in 2023?

MCQ

119

Who among the following was the first Home Minister of Independent India?

MCQ

120

What was the status of the agricultural sector in India before the Green Revolution?

MCQ

121

In which year did Walter Fleming stain the chromosomes to see them clearly and describe the entire process of mitosis?

MCQ

122

Which of the following Constitutional Amendment Acts made the president bound by the advice of the council of ministers headed by the prime minister?

MCQ

123

Match the books in List 1 with their authors in List 2. List 1 List 2 A. The Philosophy of the Bomb 1. Sachindranath Sanyal B. Bandi Jiwan 2. Bankim Chandra Chattopadhyay C. Pather Dabi 3. Bhagwati Charan Vohra D. Anandmath 4. Sarat Chandra Chattopadhyay

MCQ

124

The rotating columns of air that occur over water bodies and are generally less severe than land tornadoes are known as:

MCQ

125

In which of the following cases did the Supreme Court direct that, 'the Parliament cannot take away or abridge any of the fundamental rights for the Implementation of Directive Principles'?

MCQ

126

Who urged political parties to engage in discussions that inspire unity rather than division and promote ideas instead of personal attacks in the address on the eve of National Voters Day in January 2024?

MCQ

127

Who won the title at the World Chess Armageddon Asia & Oceania event in April 2023?

MCQ

128

Select the option that is true regarding the following two statements labelled Assertion (A) and Reason (R). A. The first battle of Panipat was one of the decisive battles of India. R. It brought into power a new band of invaders called Mughals.

MCQ

129

In the year 2020, National Digital Health Mission was launched on which of the following occasions?

MCQ

130

Which Indian city experiences the LEAST difference in average temperature between its hottest and coldest months?

MCQ

131

Which of the following technologies allows real-time communication over the Internet, such as voice and video calls, without requiring additional software or hardware beyond a web browser?

MCQ

132

What is the primary advantage of being able to insert and delete slides in an MS PowerPoint presentation?

MCQ

133

Which method is used to protect sensitive information during data transmission?

MCQ

134

Which is the correct keyboard shortcut for adjusting the column width in MS Excel?

MCQ

135

Which action should be taken in Microsoft Outlook to send a received email to another person, while keeping the original message for your records?

MCQ

136

What security mechanism ensures that system updates are installed without user intervention?

MCQ

137

Which keyboard shortcut is used for adding bullets in MS Word 2010?

MCQ

138

Which device is commonly used to connect computers within a LAN?

MCQ

139

What is the primary reason DRAM needs to be refreshed periodically?

MCQ

140

Which type of virus infects the boot sector of floppy disks or the Master Boot Record (MBR) of hard disks?

MCQ

141

Which feature in MS Word allows the user to apply a consistent look across text elements such as headings, titles and subtitles?

MCQ

142

What is the main purpose of using a template when creating a presentation in MS PowerPoint?

MCQ

143

Which of the following best describes Electronic Mail (E-mail)?

MCQ

144

Match the Task Manager tabs in column A with their respective functionalities in column B. Column A Column B 1. Processes a) Monitors overall CPU, memory, disk, and network usage 2. Performance b) Displays active applications and background processes 3. Startup c) Manages programs that run during system startup 4. App History d) Shows resource usage for Windows Store apps

MCQ

145

Which operation can one directly perform using File Explorer in Windows?

MCQ

146

Which of the following statements about computer memory is/are correct? RAM is volatile memory, meaning it loses data when power is turned off. ROM is used to store essential instructions required for the computer to boot.

MCQ

147

Select which of the given statement(s) is/are True or False for the Central Processing Unit (CPU) of the Computer Systems. (i) The CPU's clock speed controls the timing and execution speed of instructions. (ii) The CPU's cache memory provides high-speed access to frequently used instructions and data.

MCQ

148

Which of the following is an example of a type of ROM that can be electronically erased and reprogrammed multiple times?

MCQ

149

Match the file locating features in column A with their corresponding functionalities in column B. Column A Column B 1. Search Bar a) Displays files and folders recently accessed 2. Quick Access b) Allows grouping and sorting of files by attributes 3. Wildcards c) Refines searches for files with partial names 4. File Sorting d) Locates files and folders by typing keywords

MCQ

150

What is the maximum length of characters that can be accommodated in a column in MS Excel 2003?

MCQ

151

For the bi variate random variable (X,Y), let the joint probability density function be f x y 9(1+x+y) for o x 2(1 +x)4(1 +y)4 oo y oo The marginal pdf of X is

MCQ

152

Monthly sales data (in units) shows the following trend-adjusted ratios for three months: January (1.1), February (0.9), and March (1.0). What is the average seasonal index for this quarter?

MCQ

153

Duncan’s Multiple Range Test makes use of which statistical measure?

MCQ

154

For three random variables Xi X andX 3,the correlation coefficients between pairs of random variables are For R 1.23 (multiple correlation coefficient), 1 - Ri.23 is written as:

MCQ

155

What is the primary challenge in using the free-hand curve method for trend estimation?

MCQ

156

If the critical region is evenly distributed, then the test is referred to as:

MCQ

157

Which of the following is NOT true for seasonal variation

MCQ

158

In a two-way ANOVA, how many hypotheses are tested?

MCQ

159

In ANCOVA, what happens when the covariate is not linearly related to the dependent variable?

MCQ

160

Let X and Y be two independent Poisson variates with rate 5 and 10, respecƟvely, then the E(XY=2) is equal to:

MCQ

161

The mean of a residual error in a one way classified data analysis is:

MCQ

162

If the angle between two lines of regression is $90^\circ$, then correlation coefficient is:

MCQ

163

For a monthly data, the link relative for any month is given by:

MCQ

164

[Image / Diagram based question]

MCQ

165

If M: Mean, Md: Median, Mo: Mode, Qi: First Quart ile and Q 3: Third Quart ile then which of the following is an absolute measure of skew ness

MCQ

166

Which of the following is NOT true?

MCQ

167

[Image / Diagram based question]

MCQ

168

[Image / Diagram based question]

MCQ

169

The second central moment of the Binomial distribution is:

MCQ

170

[Image / Diagram based question]

MCQ

171

Which of the following is NOT true about ungrouped frequency distribution?

MCQ

172

What does s the third moment measure

MCQ

173

For testing whether two independent Normal populations (with unknown and equal variances) have same mean, one uses:

MCQ

174

The following data represents a time series. Period : 1 2 3 4 5 Observed values : 150 140 160 170 180 Compute the first-order and second-order differences for period 3.

MCQ

175

The relative frequency of a class is:

MCQ

176

Let (X, Y) have the probability density function (pdf) as [c(x+2 y)if 0<x<2, 0<y<1 f x y = O otherwise The value of c is

MCQ

177

A model being fitted is said to be adequate if the residual plot:

MCQ

178

[Image / Diagram based question]

MCQ

179

[Image / Diagram based question]

MCQ

180

If the joint distribution of two random variables Xi and X is (Xi + X 2;0 <x 1,X 2 < 1 f(X 1,X 2) = o otherwise then P(0 < X 2 < 0.5) is equal to:

MCQ

181

Find the probability that there may be 53 Sundays in a leap year.

MCQ

182

[Image / Diagram based question]

MCQ

183

[Image / Diagram based question]

MCQ

184

Level of significance is:

MCQ

185

Let X follow Poisson distribution with mean If P(X = 2) = P X 3 then the value of is

MCQ

186

Which of the following is the relative measure of skew ness

MCQ

187

The mean absolute deviation of 25, 30,27,40 and 35 is:

MCQ

188

Before using secondary data, one need NOT verify:

MCQ

189

[Image / Diagram based question]

MCQ

190

Scatter diagram for the following data shows ___________. X 1 2 3 4 5 Y 9 8 7 6 5

MCQ

191

[Image / Diagram based question]

MCQ

192

Find the coefficient of skew ness from the following information: Mode = 11, median = 8, Q 3-Q 1= 8, Q 3+Q 1=22.

MCQ

193

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195

The coefficient of kurt os is s (β2) of standard normal distribution is equal to:

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196

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197

O-gives are NOT useful for locating:

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198

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199

Which component of a time series represents short-term fluctuations due to seasonal factors?

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200

Type I error occurs when:

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201

Which of the following statements is FALSE?

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202

The median of the normal distribution with mean and variance μ and 2 is:

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203

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204

The formula used for finding the simple aggregate index numbers is:

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205

If S2 is the sample variance of a sample of size n and s2 is an unbiased estimator of population variance, then which of the following is true?

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206

For three random variables Xi X and X 3,correlation coefficients between pairs of random variables are cose andr 23 = sing. The partial correlation coefficient ri 2.3 is given by:

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207

Which of the following statements is NOT true about a critical region w?

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208

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209

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210

It has been found that 2% of the tools produced by a certain machine are defective. What is the probability that in a shipment of 400 such tools, 3% or more will be defective? (Probability that the normal variate lies between 0 and 1.43 is 0.4236.)

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211

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212

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213

In a completely randomized design, with 4 treatments replicated 5 times, the following information is obtained. SST 26234 95 SSE 11558 80 the Fc a cai is equal to:

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214

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215

The primary purpose of constructing index numbers is to:

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216

Half of the difference between 1 the 75 th percentile and 2 sth percentile is called:

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217

Data sets with high kurt os is

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218

Leta continuous random variable X have pdf f(x) = 0 75 x 2 1 5 x for 0 x 2 0 otherwise The mode of X is

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219

At what value of R 1.23 are all regression residuals zero?

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220

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221

If for the given distribution, the arithmetic mean is 9.41, then which of the following values will replace the question mark (?) in the distribution? X 5 8 9 ? 13 f 8 20 30 25 17

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222

For a frequency polygon:

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223

The first four moments of a distribution about X 2 are 2,220 and 00,thenμquals:

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224

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225

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226

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227

For a completely random is ed design with k treatments let Xij = ith observation corresponding to jth treatment, i = 1,2,..,nj j= 1,2,...,k T total of all observations x, = mean of j th treatment, where N = Ef-i nj: The formula for finding the sum of squares due to error (SSE) is:

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228

If (X, Y) has a bivariate normal distribution, then X, Y are independent if and only if X, Y are:

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229

What is the geometric mean of pu 16

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230

Let X1 , X2 , . . . , X10 be 10 independent and identically distributed (i.i.d) random variables taking the values 0, 1 with corresponding probabilities q, p. Then X = X1 + X2+ . . . + X10 is/has:

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231

In using one way analysis of variance for testing whether treatments are equally effective for a certain experimental data ifF 12 1 and F calculated tabulated 3 06 then

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232

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233

As the sample size increases, empirical probability:

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234

Which of the following is NOT true about collecting data through structured interviews?

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235

Which of the following is NOT considered asa property of ag good estimator

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236

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237

'p' is the I aged x, A, will die in a year a and will be the first to die.

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238

In a one-way ANOVA, which of the following would indicate a violation of the normality assumption?

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239

What is the main assumption of the ratio-to-moving-averages method?

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240

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241

Which of the following is NOT a secondary source of data

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242

The points of inflection of a normal distribution N (5, 1) tl that exist at x is equal to:

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243

From a population of a large number of workers with a standard deviation 5, a sample is drawn and the standard error is found to be 0.5. What is the sample size?

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244

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246

Which of the following is NOT a good characteristic of a questionnaire?

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247

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248

Let N be the size of a population and n be the size of the sample. Then the efficiency of SRSWOR with respect to SRSWR is:

MCQ

249

Karl Pearson's correlation coefficient is also called:

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250

Usually the formula to determine t the number of classes is given by:

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