SSC CHSL Tier-I 16 October 2020 Shift-II Previous Year Paper

SSC CHSL Previous Year Paper

SSC CHSL 16th October 2020 Shift-2 

English Language (Basic Knowledge) 

Q.1 Select the most appropriate synonym of the given word. 

BARREN 

(A) Fertile 

(B) Fruitful 

(C) Desolate 

(D) Bountiful 

Answer:

 

Q.2 Select the most appropriate meaning of the given idiom. 

Once in a blue moon 

(A) An unforgettable experience 

(B) An incident that is scary 

(C) Happening only once in a lifetime 

(D) Happening only rarely 

Answer:

 

Q.3 Select the most appropriate synonym of the given word. 

ROWDY 

(A) Calm 

(B) Amenable 

(C) Boisterous 

(D) Charming 

Answer:

 

Q.4 In the sentence identify the segment which contains a grammatical error. I learnt to adapt quickly to new schools because we moved to new places quite frequent. 

(A) quite frequent 

(B) I learnt to adapt quickly 

(C) we moved to new places 

(D) to new schools 

Answer:

Instructions 

In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each blank. 

To close the day on a high note, we decided to spend the rest of (1)______ evening at a 100-year-old historic watering hole in downtown Juneau. We wanted to (2)______ our bear sightings and how it feels to be in the wild. While raising a toast and reminiscing (3)______ our time in the woods, I felt a deeper connection with nature. It was a (4)______ experience to walk for miles with no particular reason or intention other than absorbing (5)______ solitude of the jungle, open to the sky. 

 

Q.5 Select the most appropriate option for blank No. 1. 

(A) theirs 

(B) their 

(C) our 

(D) ours 

Answer:

 

Q.6 Select the most appropriate option for blank No. 2. 

(A) celebrate 

(B) celebration 

(C) celebrates 

(D) celebrated 

Answer:

 

Q.7 Select the most appropriate option for blank No. 3. 

(A) in 

(B) about 

(C) with 

(D) for 

Answer:

 

Q.8 Select the most appropriate option for blank No. 4. 

(A) profound 

(B) sincere 

(C) dismal 

(D) comical 

Answer:

 

Q.9 Select the most appropriate option for blank No. 5. 

(A) the 

(B)

(C) much 

(D) some 

Answer: A

Instructions 

For the following questions answer them individually 

 

Q.10 Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No improvement’. 

Rohit Sharma have declared the best batsman of 2019. 

(A) had declared 

(B) is declaring 

(C) has been declared 

(D) No improvement 

Answer:

 

Q.11 In the sentence identify the segment which contains a grammatical error. 

The environment protection policy need to become stricter if we wish to combat climate change. 

(A) combat climate change 

(B) need to become stricter 

(C) if we wish to 

(D) The environment protection policy 

Answer:

 

Q.12 Select the most appropriate word to fill in the blank. 

There was a range of ______ that kept tourists engaged during the International Film Festival in Goa. 

(A) employments 

(B) activities 

(C) moments 

(D) conversions 

Answer:

 

Q.13 Select the most appropriate meaning of the given idiom. 

To leave someone in the lurch. 

(A) To desert someone in his difficulties 

(B) Constant source of annoyance to someone 

(C) To come to compromise with someone 

(D) To put someone at ease 

Answer:

 

Q.14 Select the INCORRECTLY spelt word. 

(A) Bunglow 

(B) Adulteration 

(C) Irritant 

(D) Balloon 

Answer: A

 

Q.15 Select the most appropriate word to fill in the blank. 

I had a stroke at an early age, but what I thought was a great ______ at that time changed my life for the better. 

(A) setback 

(B) significance 

(C) moodiness 

(D) lowliness 

Answer:

 

Q.16 Given below are four jumbled sentences. Out of the given options pick the one that gives their correct order. 

A. Some such common events that bring us happiness for a short time include passing an exam, getting a job, going on a vacation or buying a dream house. 

B. Happiness is more difficult to achieve than peace as we keep striving for it daily. 

C. Peace, on the other hand, is sustainable for many years, costs less energy, and doesn’t depend on external events such as these. 

D. Events that we struggle for in our daily lives to bring us happiness only come randomly, stay for a short time and subside. 

(A) BCAD 

(B) BACD 

(C) ACDB 

(D) BDAC 

Answer:

 

Q.17 Select the word which means the same as the given group of words. 

Someone who freely gives money and help to people who need it 

(A) Impressionist 

(B) Receptionist 

(C) Philanthropist 

(D) Philologist 

Answer:

 

Q.18 Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No improvement’. 

We’ve had a long day. We should rest now, shouldn’t we? 

(A) haven’t we 

(B) won’t we 

(C) hadn’t we 

(D) No improvement 

Answer:

 

Q.19 Select the word which means the same as the given group of words. 

Arrangement of events or dates in the order in which they happen 

(A) Geology 

(B) Archaeology 

(C) Ecology 

(D) Chronology 

Answer:

 

Q.20 Select the most appropriate ANTONYM of the given word. 

ADMONISH 

(A) Applaud 

(B) Belittle 

(C) Harden 

(D) Attack 

Answer:

 

Q.21 Select the correct indirect form of the given sentence. 

Roopa said to me, “Please accompany me to the market.” 

(A) Roopa said please accompany me to the market. 

(B) Roopa is requesting me to accompany her to the market. 

(C) Roopa said to me that you must accompany me to the market. 

(D) Roopa requested me to accompany her to the market. 

Answer:

 

Q.22 Select the INCORRECTLY spelt word. 

(A) Distance 

(B) Commitment 

(C) Existence 

(D) Arguement 

Answer: D

 

Q.23 Select the correct passive form of the given sentence. 

We are arranging an exhibition of sarees from different states of India at Dilli Haat. 

(A) An exhibition of sarees from different states of India will be arranged by us at Dilli Haat. 

(B) An exhibition of sarees from different states of India was arranged by us at Dilli Haat. 

(C) An exhibition of sarees from different states of India has been arranged by us at Dilli Haat 

(D) An exhibition of sarees from different states of India is being arranged by us at Dilli Haat. 

Answer:

 

Q.24 Select the most appropriate ANTONYM of the given word. 

CONCEALED 

(A) Hidden 

(B) Revealed 

(C) Masked 

(D) Discussed 

Answer:

 

Q.25 Given below are four jumbled sentences. Out of the given options pick the one that gives their correct order. 

A. He flew down, searched for her until he found her and then asked her to become his wife. 

B. A hawk flying about in the sky one day decided that he would like to marry a hen whom he often saw on earth.

C. The hawk was delighted and flew away after giving her a ring as an engagement present, and telling her to take good care of it.

D. She at once gave her consent on the condition that he would wait until she could grow wings like his, so that she might also fly high. 

(A) BADC 

(B) ADCB 

(C) BDCA 

(D) BCDA 

Answer:

General Intelligence 

Instructions 

For the following questions answer them individually 

 

Q.26 In the given Venn diagram, different areas denote different types of players. ‘A’ denotes ‘tennis players’, ‘B’ denotes ‘badminton players’, ‘C’ denotes ‘hockey players’ and ‘D’ denotes‘football players’. Which area represents the group of all types of sports players? 

(A)

(B)

(C)

(D)

Answer:

Explanation: 

From the Venn diagram, 

C has an intersection with A, B, D 

⇒ C consists of players who can play Tennis, Badminton, Hockey, Football 

∴ C represents the group of all types of sports players 

Hence, the correct answer is Option (D) 

 

Q.27 Select the answer figure that can be formed by folding the given sheet along the lines. 

Answer:

Explanation: 

According to the problem, 

@ is opposite to $ 

# is opposite to ! 

% is opposite to * 

Figure 2 is incorrect since # is opposite to ! 

Figure 3 is incorrect since % is opposite to * 

Figure 4 is incorrect since % is opposite to * 

∴ The figure that can be formed by folding the given sheet along the lines is figure 1 

Hence, the correct answer is Option (A) 

 

Q.28 In a certain code language, RDHKLP is written as QCJMKO. How will ROHINY be written as in that language? 

(A) QNJKCX 

(B) QNIJMX 

(C) QNJKMX 

(D) QNJLNX 

Answer:

Explanation: 

Given, RDHKLP is written as QCJMKO in the code language 

R – 1 = Q 

D – 1 = C 

H + 2 = J 

K + 2 = M 

L – 1 = K 

P – 1 = O 

Similarly, 

R – 1 = Q 

O – 1 = N 

H + 2 = J 

I + 2 = K 

N – 1 = M 

Y – 1 = X 

∴ ROHINY will be written as QNJKMX in the code language 

Hence, the correct answer is Option (C) 

 

Q.29 Select the combination of letters that when sequentially placed from left to right in the blanks of the given series will complete the series. 

_om_onm_mnon_omn_n 

(A) nmomn 

(B) nnmmo 

(C) moomm 

(D) mnomo 

Answer:

Explanation: 

By Trial and Error method, 

Option (A) 

nommon | momnon | momnnn 

The above letters do not form a series. Hence option (A) is incorrect. 

Option (B) 

nomnon | mmmnon | momnon 

The above letters do not form a series. Hence option (B) is incorrect. 

Option (C) 

momoon | momnon | momnmn 

The above letters do not form a series. Hence option (C) is incorrect. 

Option (D) 

momnon | momnon | momnon 

The above letters form a series. 

Hence, the correct answer is Option (D) 

 

Q.30 Which two signs or numbers should be interchanged to make the given equation correct? 

(56 ÷ 7) + 5 × 8 − 12 = 60 

(A) 8 and 12 

(B) + and ÷ 

(C) 7 and 5 

(D) × and + 

Answer:

Explanation: 

By Trial and Error method, 

Option (A) 

(56 ÷ 7) + 5 × 12 − 8 = 60 

8 + 5 × 12 − 8 = 60 

8 + 60 − 8 = 60 

60 = 60 

Hence, the correct answer is Option (A) 

 

Q.31 Select the option that is related to the third term in the same way as the second term is related to the first term. PTR : R38 :: IMK : ? 

(A) M20 

(B) K24 

(C) K20 

(D) M24 

Answer:

Explanation: 

The logic here is 

P + 2 = R 

T + R = 20 + 18 = 38 

Similarly, 

I + 2 = K 

M + K = 13 + 11 = 24 

∴ K24 is related to IMK in the same way R38 is related to PTR 

Hence, the correct answer is Option (B) 

 

Q.32 Select the answer figure that can replace the question mark (?) in the following question figure. 

Answer:

Explanation: 

The four figures are moving one place along the sides of the square in clockwise direction. 

∴ The next figure in the given series is 

Hence, the correct answer is Option (A) 

 

Q.33 Select the number that can replace the question mark (?) in the following series. 

1, 2, 4, 7, 13, 24, 44, ? 

(A) 63 

(B) 81 

(C) 112 

(D) 73 

Answer:

Explanation: 

The logic here is 

1 + 2 + 4 = 7 

2 + 4 + 7 = 13 

4 + 7 + 13 = 24 

7 + 13 + 24 = 44 

Required number in the series is equal to the sum of the previous three numbers ∴ 

Required number = 13 + 24 + 44 = 81 

Hence, the correct answer is Option (B) 

 

Q.34 Arrange the following words in a logical and meaningful sequence. 

1. Paragraph 

2. Sentence 

3. Letter 

4. Phrase 

5. Word 

(A) 3, 5, 1, 2, 4 

(B) 3, 5, 4, 2, 1 

(C) 1, 2, 3, 4, 5 

(D) 5, 3, 1, 2, 4 

Answer:

Explanation: 

Word is a group of letters. 

Phrase is a short group of words. 

Sentence is group of words containing a subject and object. 

Paragraph is a combination of sentences. 

∴ The logical and meaningful order of the given words is Letter, Word, Phrase, Sentence, Paragraph Hence, the correct answer is Option (B) 

 

Q.35 Select the number that will replace the question mark (?) in the following series. 

4, 5, 9, 18, 34, 59, ?, 144, 208, 289 

(A) 95 

(B) 88 

(C) 89 

(D) 90 

Answer:

Explanation: 

The logic here is 

5 − 4 = 1 = 12 

9 − 5 = 4 = 22 

18 − 9 = 9 = 32 

34 − 18 = 16 = 42 

59 − 34 = 25 = 52 

The difference between numbers of the given series is square of consecutive numbers 

Similarly, the required number = 59 + 6 = 59 + 36 = 95 

Hence, the correct answer is Option (A) 

 

Q.36 Find the number of triangles in the given figure. 

(A) 30 

(B) 18 

(C) 29 

(D) 37 

Answer:

Explanation: 

The different triangles in the figure ADE(B) are ACD, DCE, ECB, BCA, ABE, ADE, BDA, BDE Number of triangles in the figure ADE(B) = 8 

Figure DGHE and figure EHKI are similar to figure ADEB. 

Number of triangles in the figure DGHE = 8 

Number of triangles in the figure EHKI = 8 

The remaining triangles in the given figure are AEG, BDH, DHJ, GEK, AGK 

Number of remaining triangles in the given figure = 5 

∴ Total number of triangles in the given figure = 8 + 8 + 8 + 5 = 29 

Hence, the correct answer is Option (C) 

 

Q.37 Identify the letter that does NOT belong to the following series. 

I, L, O, S, U, X 

(A)

(B)

(C)

(D)

Answer:

Explanation: 

I + 3 = L 

L + 3 = O 

O + 3 = R 

R + 3 = U 

U + 3 = X 

The letters of the series should be I, L, O, R, U, X 

∴ S do not belong to the series 

Hence, the correct answer is Option (B) 

 

Q.38 Select the option that is related to the third term in the same way as the second term is related to the first term. BUS : AWP :: CAR : _________ 

(A) CAB 

(B) BUD 

(C) BCD 

(D) BCO 

Answer:

Explanation: 

The logic here is 

(B) – 1 = (A) 

U + 2 = W 

S – 3 = P 

Similarly, 

(C) – 1 = (B) 

(A) + 2 = (C) 

R – 3 = O 

∴ BCO is related to CAR in the same way AWP is related to BUS 

Hence, the correct answer is Option (D) 

 

Q.39 After giving a discount of 25% on the marked price, a laptop is sold at ₹ 22,500. What is its marked price? 

(A) ₹ 32,000 

(B) ₹ 36,500 

(C) ₹ 30,000 

(D) ₹ 29,000 

Answer:

 

Q.40 The sequence of folding a piece of paper and the manner in which the folded paper has been cut is shown in the question figure. Select the figure from the answer figures that would most closely resemble the unfolded paper. 

Answer:

Explanation: 

When the paper is unfolded first to the right, the two triangles will appear on the right. 

When the paper is unfolded again to the top right, four triangles will appear similarly on the right side of the paper. ∴ 

When the paper is unfolded it will appear as shown below 

Hence, the correct answer is Option (C) 

 

Q.41 If in a coded language ‘UNIQ’ is written as ‘SJCI’, then in the same coded language, ‘MODE’ will be written as: 

(A) KKXX 

(B) KKXW 

(C) KKXT 

(D) KKXV 

Answer:

Explanation: 

Given, ‘UNIQ’ is written as ‘SJCI’ 

U – 2 = S 

N – 4 = J 

I – 6 = C 

Q – 8 = I 

Similarly, 

M – 2 = K 

O – 4 = K 

D – 6 = X 

E – 8 = W 

∴ MODE is written as KKXW in the given code language 

Hence, the correct answer is Option (B) 

 

Q.42 Select the option that is related to the third number in the same way as the second number related to the first number. 

236 : 263 :: 768 : ? 

(A) 786 

(B) 876 

(C) 778 

(D) 788 

Answer:

Explanation: 

The logic here is the first number remains same, the second and third number are exchanged. 

Similarly, 786 is related to 768 in the same way 263 is related to 236 

Hence, the correct answer is Option (A) 

 

Q.43 If a mirror is placed on line PQ in the question figure, then which of the answer figures is the correct image of the question figure? 

Answer:

 

Q.44 Pointing to a photograph, Mohan said, “The person who is standing with my mother in the photograph is the only son of my father’. How is the person related to Mohan? 

(A) Nephew 

(B) Mohan himself 

(C) Cousin 

(D) Father 

Answer:

Explanation: 

According to the problem, 

The person who is standing with Mohan’s mother is the only son of Mohan’s father. Since Mohan is male and his father has only one son, the person in the photograph with his mother is Mohan himself. 

Hence, the correct answer is Option (B) 

 

Q.45 Select the number that can replace the question mark (?) in the following series. 

7, 16, 24, 31, 37, ? 

(A) 45 

(B) 39 

(C) 42 

(D) 58 

Answer:

Explanation: 

The logic here is 

7 + 9 = 16 

16 + 8 = 24 

24 + 7 = 31 

31 + 6 = 37 

Similarly, the next number in the series = 37 + 5 = 42 

Hence, the correct answer is Option (C) 

 

Q.46 Select the answer figure in which the question figure is embedded. (Rotation is not allowed) 

Answer:

 

Q.47 Read the given statements and conclusions carefully. Assuming that the information given in the statements 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 statements. 

Statements: 

1. Some bananas are mangoes. 

2. Some mangoes are cats. 

Conclusions: 

I. All cats are bananas. 

II. Some cats are mangoes. 

(A) Only conclusion II follows. 

(B) Neither conclusion I nor II follows. 

(C) Both conclusions I and II follow. 

(D) Only conclusion I follows. 

Answer:

 

Q.48 Select the letter that can replace the question mark (?) in the following series. 

A, D, C, G, F, K, J, ? 

(A)

(B)

(C)

(D)

Answer:

Explanation: 

Given series is an alternate series with the two series are A, C, F, J, … and D, G, K, … 

In A, C, F, J, … 

(A) + 2 = (C) 

(C) + 3 = F 

F + 4 = J 

In D, G, K, … 

(D) + 3 = G 

G + 4 = K 

The next letter of the given series is the next letter of the series D, G, K, … 

∴ The next letter of the series = K + 5 = P 

Hence, the correct answer is Option (D) 

 

Q.49 In a certain code language, 458 is written as ‘she is good’, 742 is written as ‘that is cow’ and 841 is written as ‘good is bad’. Which number denotes the word ‘bad’ in that language? 

(A)

(B)

(C)

(D)

Answer:

Explanation: 

In the code language, 

458 is written as ‘she is good’ ………..(1) 

742 is written as ‘that is cow’ ………..(2) 

841 is written as ‘good is bad’ ………..(3) 

Comparing (1) and (3) 

The code for 48 is ‘is good’ 

⇒ The code for remaining number 1 from (3) is ‘bad’ 

∴ 1 denotes the word ‘bad’ in the code language 

Hence, the correct answer is Option (C) 

 

Q.50 Study the given pattern carefully and select the number that can replace the question mark (?) in it. 

(A) 521 

(B) 396 

(C) 737 

(D) 729 

Answer:

Explanation: 

The logic here is 

53 + 6 = 125 + 6 = 131 

73 + 5 = 343 + 5 = 348 

The numbers are in the form of 

left number3 + bottom number = middle number 

Similarly, 

93 + 8 = 729 + 8 = 737 

Required number = 

Hence, the correct answer is Option (C) 

Quantitative Aptitude(Basic Arithmetic Skill) 

Instructions 

For the following questions answer them individually 

Q.51 Study the following graph and answer the question based on the graph. 

How many teachers are aged 45 years or more but less than 50 years? 

(A)

(B)

(C)

(D)

Answer:

Explanation: 

From the graph, 

Number of teachers who are aged 45 years or more but less than 50 years i.e, 45-50 = 5 

 

Q.52 A mobile phone was sold for ₹31,500 after giving two successive discounts of 30% and 10%, respectively. What was the marked price of the mobile? 

(A) ₹55,000 

(B) ₹50,000 

(C) ₹35,000 

(D) ₹52,500 

Answer:

 

Q.53 Given that 220 + 1 is completely divisible by a whole number, which of the following is completely divisible by the same number? 

(A) 215 + 1 

(B) 5 × 230 

(C) 290 + 1 

(D) 260 + 1 

Answer:

 

Q.54 The volume of the water in two tanks, A and B,is in the ratio of 6 : 5. The volume of water in tank A is increased by 30%. By what percentage should the volume of water in tank B be increased so that both the tanks have the same volume of water? 

(A) 56% 

(B) 30% 

(C) 18% 

(D) 15% 

Answer:

 

Q.55 The volume of a tank is 72 cubic metres. Water is poured into it at the rate of 60 litres per minute. How much time will it take to fill the tank? 

(A) 10 hours 

(B) 20 hours 

(C) 6 hours 

(D) 12 hours 

Answer:

 

Q.56 Study the following graph and answer the question based on the graph. 

On which day the production was ⅕th of the total production? 

(A) Thursday 

(B) Wednesday 

(C) Tuesday 

(D) Friday 

Answer:

Explanation: 

From the graph, 

Production of the item by the company on Monday = 25 

Production of the item by the company on Tuesday = 40 

Production of the item by the company on Wednesday = 60 

Production of the item by the company on Thursday = 45 

Production of the item by the company on Friday = 50 

Production of the item by the company on Saturday = 30 

Total Production of the company = 25+40+60+45+50+30 = 250 

= ⅕ of total Production of the company = 50 = Production of the item by the company on Friday Hence, the correct answer is Option (D) 

 

Q.57 The value of sin 20cos 70+ sin 70 cos 20 is: 

(A)

(B)

(C) ½  

(D)

Answer:

 

Q.58 In a circle of radius 10 cm, PQ and RS are two parallel chords of lengths 16 cm and 12 cm, respectively. What is the distance between the chords if they are on opposite sides of the center? 

(A) 14 cm 

(B) 6 cm 

(C) 8 cm 

(D) 2 cm 

Answer:

 

Q.59 In the given figure, AP is perpendicular to BC, and AQ is the bisector of angle A. What will be the measure of angle PQA ?

(A) 30

(B) 50 

(C) 75 

(D) 60 

Answer:

 

Q.60  Salma buys an article and then sells it for ₹810. If she loses 10%, then at what price should she sell it to gain 4%? 

(A) ₹900 

(B) ₹936 

(C) ₹864 

(D) ₹729 

Answer:

 

Q.61 A and B separately can build a wall in 12 and 16 days, respectively. If they work for 1 day alternatively, starting with A, in how many days will the wall be built? 

(A) 6¾ days 

(B) 12⅔ days 

(C) 13⅔ days 

(D) 7⅔ days 

Answer:

 

Q.62 What number must be added to each of the numbers 8, 13, 26 and 40 so that the numbers obtained in this order are in proportion? 

(A)

(B)

(C)

(D)

Answer:

 

Q.63 (ax + by) is a factor of: 

(A) a2x2 + 2ab b2  y2 

(B) a2x2 + 2abxy + b2  y2 

(C) a2x2 + 2ab + b2 y2  

(D) a2x3 + 2abx + b2 y2

Answer:

 

Q.64 The angles of a triangle are in the ratio of 3 : 4 : 8. The triangle is: 

(A) obtuse angled 

(B) right angled 

(C) acute angled 

(D) isosceles 

Answer:

 

Q.65 The value of 10 − [121 ÷ (11 × 11) − (−4) − {3 − (8 − 1)}] is: 

(A)

(B) -1 

(C) 19 

(D)

Answer:

Explanation: 

10 − [121 ÷ (11 × 11) − (−4) − {3 − (8 − 1)}] = 10 − [121 ÷ (121) − (−4) − {3 − 7}] 

= 10 − [121 ÷ 121 + 4 − {−4}] 

= 10 − [1 + 4 + 4] 

= 10 − 9 

= 1 

Hence, the correct answer is Option (D) 

 

Q.66 Study the following graph and answer the question based on the graph. 

What was the percentage decline in the production from Friday to Saturday? 

(A) 10% 

(B) 66⅔%   

(C) 40% 

(D) 20% 

Answer:

 

Q.67 If tan 4(A) = cot((A) − 20), 0< 4A < 90, then the value of (A) is: 

(A) 14 

(B) 22

(C) 5

(D) 80 

Answer:

Explanation: 

tan 4(A) = cot((A) − 20 )0< 4(A) < 90 

Given, , 

= cot(90− 4A) = cot((A) − 20 ) 

= 90− 4(A) = (A) − 20 

= (A) + 4(A) = 90+ 20 

= 5(A) = 110 

= (A) = 22 

Hence, the correct answer is Option (B) 

 

Q.68 A player has a certain average for 15 innings. In the 16th inning he scores 120, there by his average increases by 6 runs. What is the new average? 

(A)

(B) 30 

(C) 24 

(D) 20 

Answer:

 

Q.69 If sin θ + cosecθ = 2, then the value of sin2 θ + cosec2 θ is: 

(A)

(B)

(C)

(D)

Answer: B)

Explanation: 

Given, 

sin θ + cosecθ = 2

Squaring on both sides

(sin θ + cosecθ )2 = 22

==> sin2 θ + cosec2 θ + 2sin θ cosecθ = 4

==> sin2 θ + cosec2 θ + 2sin θ 1/sin θ = 4

==> sin2 θ + cosec2 θ + 2 = 4

==> sin2 θ + cosec2 θ  = 4 – 2

==> sin2 θ + cosec2 = 2

Hence, the correct answer is Option B

 

Q.70 In how many years will a sum of ₹320 amount to ₹405 if interest is compounded at 12.5% per annum? 

(A) 2 years 

(B) 1 year 

(C) 1½ years 

(D) 2½ years 

Answer:

 

Q.71 In the given figure, PQRS is a cyclic quadrilateral. What is the measure of the angle PQR if PQ is parallel to SR?

(A) 110 

(B) 80 

(C) 100 

(D) 70 

Answer:

 

Q.72 Study the following graph and answer the question based on the graph. 

What percentage of the total number of teachers are aged less than 45 years? 

(A) 80% 

(B) 60% 

(C) 30% 

(D) 8% 

Answer:

 

Q.73 2x — 3y is a factor of: 

(A) 4x2 + 2x − 3y + 9y2 − 12xy 

(B) 4x2 + 9y2 + 12xy 

(C) 8x3 + 27y3 

(D) 4x2 + 2x − 3y + 36y2 + 12xy 

Answer:

 

Q.74 Two trains start at same time from stations A and B, 1800 km apart, and proceed towards each other at an average speed of 44 km/h and 46 km/h, respectively. Where will the trains meet? 

(A) 900 km from station (B) 

(B) 920 km from station (A) 

(C) 880 km from station (B) 

(D) 880 km from station (A) 

Answer:

Explanation: 

Given, 

Distance between two stations (A) and (B) = 1800 km 

Average speed of train that start from station (A) = 44 km/h 

Average speed of train that start from station (B) = 46 km/h 

Both trains are moving in opposite direction 

= > Relative Speed = 44+46 = 90 km/h 

Distance 

Time after which they meet = 

1800 

= 90 

= 20 hr 

Relative Speed 

Distance travelled by train that started from station (A) in 20 hr = 44 × 20 = 880 km Distance travelled by train that started from station (B) in 20 hr = 46 × 20 = 920 km 

∴ Meeting point from station (A) = 880 km 

Meeting point from station (B) = 920 km 

Hence, the correct answer is Option (D) 

 

Q.75 The area of a square park is 16x2 + 8x + 1. What is the length of the side of the park? 

(A) (4x – 1) units 

(B) (4x + 1) units 

(C) 4x units 

(D) (4x + 1)2 units 

Answer:

General Awareness 

Instructions 

For the following questions answer them individually 

 

Q.76 Who wrote ‘Humayun Nama’? 

(A) Humayun 

(B) Babur 

(C) Akbar 

(D) Gulbadan Begum 

Answer:

 

Q.77 The solar tracking (moving in the sun’s direction) of the sunflower is called ______. 

(A) Phototropism 

(B) Thigmotropism 

(C) Hydrotropism 

(D) Heliotropism 

Answer:

 

Q.78 What is the full form of BASIC in context of the BASIC computer language? 

(A) Beginner’s All-purpose Systematic Instruction Code 

(B) Beginner’s All-purpose Symbolic Instruction Code 

(C) Beginner’s All-purpose Symbolic Input Code 

(D) Beginner’s All-purpose Symbolic Input-output Code 

Answer:

 

Q.79 When was the PIN Code (Postal Index Code) introduced in India? 

(A) 1972 

(B) 1949 

(C) 1963 

(D) 1969 

Answer:

 

Q.80 Which Indian cricketer has scored the most number of runs in a single World Cup? 

(A) Kapil Dev 

(B) Rahul Dravid 

(C) Sachin Tendulkar 

(D) Rohit Sharma 

Answer:

 

Q.81 ‘Income and employment theory’ is the other name for which branch of Economics? 

(A) Macroeconomics 

(B) Microeconomics 

(C) International economics 

(D) Public finance 

Answer:

 

Q.82 In which of the following cities was the ‘India International Science Festival (IISF)’ held in November 2019? 

(A) Bengaluru 

(B) Thiruvananthapuram 

(C) Kolkata 

(D) New Delhi 

Answer:

 

Q.83 Which article in the Constitution of India empowers the President of India to promulgate ordinances when the Parliament is in recess? 

(A) Article 123 

(B) Article 213 

(C) Article 232 

(D) Article 312 

Answer:

 

Q.84 Who is the author of the book ‘Bridgital Nation – Solving Technology’s People Problem’? 

(A) Nandan Nilekani 

(B) Ratan Tata 

(C) Narayanamurthy 

(D) N Chandrasekaran 

Answer:

 

Q.85 The process that moves, elevates or builds up portions of the earth’s crust is called: 

(A) volcanism 

(B) denudation 

(C) weathering 

(D) diastrophism 

Answer:

 

Q.86 ‘Matki’ is a popular folk dance of which of the following states? 

(A) Madhya Pradesh 

(B) Rajasthan 

(C) Assam 

(D) Bihar 

Answer:

 

Q.87 As of February 2020, who is the Governor of Goa? 

(A) Pramod Sawant 

(B) Satyapal Malik 

(C) Bhagat Singh Koshyari 

(D) Shripad Yesso Naik 

Answer:

 

Q.88 The moon is an example of a ______ object. 

(A) luminous 

(B) non-luminous 

(C) transparent 

(D) translucent 

Answer:

 

Q.89 Who among the following is/was a famous Tabla player? 

(A) Hariprasad Chaurasia 

(B) Alla Rakha 

(C) Bhimsen Joshi 

(D) TN Krishnan 

Answer:

 

Q.90 Translated into English, the motto of the Indian National Army (INA) was ______. 

(A) Do or Die 

(B) Service before self 

(C) Unity and Discipline 

(D) Unity, Faith, Sacrifice 

Answer:

 

Q.91 Which of the following oil companies started an LPG bottling plant in Balangir district of Odisha in December 2019? 

(A) Indian Oil Corporation Limited 

(B) Bharat Petroleum Corporation Limited 

CReliance Industries Limited 

(D) Hindustan Petroleum Corporation Limited 

Answer:

 

Q.92 River Sutlej enters India through which pass? 

(A) Lipulekh 

(B) Shipki la 

(C) Zoji la 

(D) Nathula 

Answer:

 

Q.93 How many fundamental duties are set out in Part IV (A) (Article 51A) of the Constitution of India? 

(A) 10 

(B) 11 

(C) 12 

(D)

Answer:

 

Q.94 Who is the author of ‘Malavikagnimitram’? 

(A) Vagbhata 

(B) Vyasa 

(C) Kautilya 

(D) Kalidasa 

Answer:

 

Q.95 According to a report released by Greenpeace in Aug, 2019, India is the highest emitter of which of the following pollutants (gases)? 

(A) Nitrogen dioxide 

(B) Sulphur dioxide 

(C) Carbon Monoxide 

(D) Ammonia 

Answer:

 

Q.96 How many Indian bowlers have taken a hat-trick in International test cricket? 

(A) Two 

(B) Four 

(C) One 

(D) Three 

Answer:

 

Q.97 Which of the following symbols must be used before a formula in a Microsoft Excel sheet? 

(A)

(B)

(C)

(D)

Answer:

 

Q.98 Who is the only Indian to be nominated for the ‘IWGA Athlete of the Year 2019′? 

(A) Rani Rampal 

(B) Mithali Singh 

(C) Amiya Kumar Mallick 

(D) Virat Kohli 

Answer:

 

Q.99 Slate is a type of ______ rock. 

(A) igneous 

(B) volcanic 

(C) metamorphic 

(D) sedimentary 

Answer:

 

Q.100 Deficiency of thiamine results in ______ . 

(A) Rickets 

(B) Pellagra 

(C) Scurvy 

(D) Beriberi 

Answer:

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