SSC CGL 5th March 2020 Shift-3
Q. 1 A + B means ‘A. is the mother of B’;
A − B means ‘A is the brother of B’;
A × B means ‘A is the father of B’;
A ÷ B means ‘A is the daughter of B’;
If P − K × Y − J ÷ S + R , then which of the following statements is NOT correct?
A. J is daughter of P.
B. P is paternal uncle of R.
C. K is husband of S.
D. Y is son of S.
Answer: A.
Explanation:
In the diagram, Circle shows the female, square shows the male, vertical lines show the generation, single horizontal line shows the brother/sister and double horizontal lines show the couple.
From the diagram,
Option A is correct.
∴ The correct answer is option A.
Q. 2 Select the letter-cluster that can replace the Question mark (?) in the following series.
TULG, WRPC, ZOTY, CLXU,?
A. FJCQ
B. FIBQ
C. FICR
D. GIAQ
Answer: B.
Explanation:
The series follows pattern as,
(T + 3)(U – 3)(L + 4)(G – 4) = WRPC.
(W + 3)(R – 3)(P + 4)(C. – 4) = ZOTY
(Z + 3)(O – 3)(T + 4)(Y – 4) = CLXU
(C + 3)(L – 3)(X + 4)(U – 4) = FIBQ
∴ The correct answer is option B.
Q. 3 Fourletter-clusters have been given, out of which three are alike in some manner and one is different. Select the odD. letter-cluster.
A. PSVX
B. ZCFI
C. JMPS
D. ORUX
Answer: A.
Explanation:
Except option A, remaining all words have difference of 2 letters between in each latter in the word.
∴ The correct answer is option A.
Q. 4 Select the option that is relateD. to the thirD. number in the same way as the seconD. numberis relateD. to the first number. 13 : 109 :: 24 : ?
A. 194
B. 201
C. 197
D. 216
Answer: C.
Explanation:
In 13 : 109,
13×8 + 5 = 104 + 5 = 109
similarly,
24×8 + 5 = 192 + 5 = 197
∴ The correct answer is option C.
Q. 5 Select the number that can replace the Question mark (?) in the following series.
45, 47, 53, 65, 85, ?
A. 115
B. 130
C. 145
D. 105
Answer: A.
Explanation:
The series follows pattern as,
45 + 2 = 47
47 + (2 + 4 = 6) = 53
53 + (6 + 6 = 12) = 65
65 + (12 + 8 = 20) = 85
85 + (20 + 10 = 30) = 115
∴ The correct answer is option A.
Q. 6 Select the letter that can replace the Question mark (?) in the following series.
A, T, E, U, I, V, O, W, ?, X
A. R
B. M
C. U
D. Z
Answer: C.
Explanation:
There are 2 series,
A, E, I, O, ?
and T, U, V, W, X
The first series has the the group of vowels.
So, next letter is u.
∴ The correct answer is option C.
Q. 7 Select the option in which the given figure X is embeddeD. (rotation is not allowed).
Answer: C.
Q. 8 Select the option in which the numbersare relateD. in the same way as are the numbers in the givenset.
(8, 7, 407)
A. (12, 8, 555)
B. (10, 8, 576)
C. (11, 12, 450)
D. (9, 6, 303)
Answer: D.
Explanation:
In (8, 7, 407),
8 × 72 + 8 + 7 = 8×49 + 15
= 392 + 15 = 407
Similarly,
In (9, 6, 297),
9 × 62 + 9 + 6 = 8×36 + 15
= 288 + 15 = 303
∴ The correct answer is option D.
Q. 9 Which two signs and two numbers shoulD. be interchangeD. to make the given equation correct?
28 − 32 ÷ 2 × 8 + 34 = 132
A. ×and−; 32 and 34
B. +and−; 28 and 32
C. +and−; 32 and 34
D. ×and−; 8 and 2
Answer: C.
Explanation:
28 − 32 ÷ 2 × 8 + 34 = 132
From the option C,
28 + 34 ÷ 2 × 8 − 32 = 132
28 + 17 × 8 − 32 = 132
136 – 4 = 132
132 = 132
∴ The correct answer is option C.
Q. 10 ‘Criticise’ is relateD. to ‘Condemmn’ in the same way as ‘Solidarity’ is relateD. to ‘………….’
A. Unity
B. Actrocious
C. Guilty
D. Prosperity
Answer: A.
Explanation:
‘Criticise’ is relateD. to ‘Condemmn’ in the same ways ‘Solidarity’ is relateD. to ‘unity’.
∴ The correct answer is option A.
Q. 11 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. No bottle is A pen.
2. All jugs are bottles.
Conclusions:
I. Some jugs are pens.
II. No jug is pen.
III. Some bottles are jugs.
A. All conclusions I, II and III follow.
B. Only conclusions II and III follow.
C. Conclusion III and either conclusion I or II follow.
D. Either conclusion I or II follows.
Answer: B.
Explanation:
From the Venn diagram,
Only conclusion II and III follow.
∴ The correct answer is option B.
Q. 12 Arrange the following words in A logical and meaningful order.
1. Colonel
2. Field Marshal
3. Brigadier
4. Lieutenant
5. General
A. 2, 5, 3, 1, 4
B. 3, 5, 2, 4, 1
C. 1, 2, 3, 5, 4
D. 2, 5, 1, 4, 3
Answer: A.
Explanation:
Arrangement of the post according to the rank,
Field Marshal, General, Brigadier, Colonel, Lieutenant
∴ The correct answer is option A.
Q. 13 Three different positions of the same dice are shown, the six faces of which are numbered from 1 to 6. Select the number that will be on the face opposite to the one showing ‘6’.
A. 3
B. 2
C. 4
D. 5
Answer: A.
Q. 14 In A certain code language, ‘FASTER’ is written as ‘CdQHO’. How will ‘VIOLIN’ be written as in that language?
A. SLIRLM
B. SKIRKO
C. SLRILK
D. RLTILK
Answer: C.
Explanation:
F – 3 = C
A + 3 = D
S + 3 = V
T – 3 = Q
E + 3 = H
R – 3 = O
Similarly,
V – 3 = S
I + 3= L
O + 3 = R
L – 3 = I
I + 3 = L
N – 3= K
‘VIOLIN’ is written as ‘SLRILK’.
∴ The correct answer is option C.
Q. 15 Four words have been given, out of which three are alike in some manner and one is different. Select the odd word.
A. Kidney
B. Pancreas
C. Renin
D. Liver
Answer: C.
Explanation:
Except ‘renin’ remaining all are parts of human body.
∴ The correct answer is option C.
Q. 16 Select the option in which the words share the same relationship as that shareD. by the given pair of words.
Player : Team
A. Flower : Bouquet
B. Ant : Bee
C. Student : Teacher
D. Purpose : Crowd
Answer: A.
Explanation:
A group of players is called team.
Similarly,
A group of flowers is called bouquet.
∴ The correct answer is option A.
Q. 17 In A class of 100 students, every student has passed in one or more of the three subjects, i.e. History, Economics and English. Among all the students, 24 students have passed in English only, 14 students have passed in History only, 11 students have passed in both English and Economics only, and 12 students have passed in both English and History only. A total of 50 students have passed in History. If only 5 students have passed in all three subjects, then how many students have passed in Economics only?
A. 15
B. 18
C. 20
D. 10
Answer: A.
Explanation:
Students have passed in English only = 24
Students have passed in History only = 14
Students have passed in both English and Economics only = 11
Students have passed in both English and History only = 12
Students have passed in History = 50
Students have passed in all three subjects = 5
Students have passed in Economics only = 100 – students have passed in History – students have passed in English only – students have passed in both English and Economics only = 100 -50 – 24 – 11 = 15
∴ The correct answer is option A.
Q. 18 Select the figure that can replace the Question mark (?) in the following series.
Answer: D.
Q. 19 How many triangles are there in the given figure?
A. 25
B. 24
C. 27
D. 26
Answer: A.
Q. 20 Select the correct mirror image of the given figure when A vertical mirror is placed on the right side of the figure.
Answer: B.
Q. 21
Study the given pattern carefully and select the number that can replace the Q. mark (?) in it.
A. 45
B. 55
C. 40
D. 50
Answer: A.
Explanation:
(252 × 3) ÷ 18 = 756/18 = 42
(296 × 3) ÷ 24 = 888/24 = 37
(540 ×3) ÷ 36 = 1620/36 = 45
∴The correct answer is option A.
Q. 22 Which of the following Venn diagramsbest represents the relationship between the following classes?
Cricketers, Players, Human beings
Answer: C.
Q. 23 Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different from the rest.
A. 4209 : 15
B. 5121 : 12
C. 8101 : 10
D. 7456 : 22
Answer: B.
Explanation:
In 4209 : 15
4 + 2 + 0 + 9 = 15
In 5121 : 12
5 + 1 + 2 + 1 = 9
In 8101 : 10,
8 + 1 + 0 + 1 = 10
In 7456 : 22,
7 + 4 + 5 + 6 = 22
∴ The correct answer is option B.
Q. 24 The sequence of folding A piece of paper and the manner in which the folded paper has been cut is shown in the following figures. How would this paper look when unfolded?
Answer: B.
Q. 25 In A certain code language, ‘AUSTERE’ is coded as ‘13102595’. How will ‘SETTING’ be coded as in that language?
A. 11544957
B. 10522948
C. 10522957
D. 11522867
Answer: C.
Explanation:
A. = 1
U(21) = 2 + 1 = 3
S(19) = 1 + 9 = 10
T(20) = 2 + 0 = 2
E = 5
R(18) = 1 + 8 = 9
E = 5
Similarly,
S(19) = 1 + 9 = 10
E = 5
T(20) = 2 + 0 = 2
T(20) = 2 + 0 = 2
I = 9
N(14) = 1 + 4 = 5
G = 7
‘SETTING’ is codeD. as ‘10522957’.
∴ The correct answer is option C.
General Awareness
Instructions
For the following questions answer them individually
Q. 26 Which of the following companies has roped in cricketer Harbhajan Singh as its brand ambassador in 2019?
A. Reebok
B. TAFE
C. PUMA
D. Brune & Bareskin
Answer: D.
Q. 27 Berach River, A southern-side tributary of Banas River, originates from the hills in which of the following districts of Rajasthan?
A. Bharatpur
B. Jaisalmer
C. Udaipur
D. Bikaner
Answer: C.
Q. 28 Who was honoured with the 1st recipient of the Muppavarapu National Award for Social Service at Hyderabad on 9th January 2020?
A. D Mankombu Sambasivan Swaminathan
B. Chandra Pal Singh Yadav
C. D Gutta Muniratnam
D. Uttam Prakash Agarwal
Answer: A.
Q. 29 Who among the following conceived the Kakori train robbery in 1925?
A. Ubaidullah Sindhi
B. Manmath Nath Gupta and Matangini Hazra
C. Baikuntha Shukla
D. Ram Prasad Bismil and Ashfaqullah Khan
Answer: D.
Q. 30 What is the ranking of India in the World Economic Forums (WEF)’s World Travel, Tourism Competitive ness Index for the year 2019?
A. 31
B. 34
C. 37
D. 39
Answer: B.
Q. 31Who among the following scientists invented the Cotton Gin?
A. Sonny Perdue
B. Eli Whitney
C. Norman Borlaugh
D. George Washington Carver
Answer: B.
Q. 32 Which of the following is also known as Epsom salt?
A. Calcium Sulphate
B. Magnesium Sulphate
C. Sodium Sulphate
D. Ferrous Sulphate
Answer: B.
Q. 33 Which of the following is used to control pest fish?
A. Ovicides
B. Predacides
C. Herbicides
D. Piscicides
Answer: D.
Q. 34 In which of the following cities is the tomb of Rani of Jhansi situated?
A. Indore
B. Gwalior
C. Jabalpur
D. Ujjain
Answer: B.
Q. 35 The International Naval event ‘Milan’ is scheduled to be held in ______ in March 2020.
A. Kochi
B. Mumbai
C. Kolkata
D. Visakhapatnam
Answer: D.
Q. 36 Which of the following authorities launched PPRTMS (Political Parties Registration Tracking Management System)?
A. National Human Rights Commission
B. The Supreme Court
C. Election Commission of India
D. The Union Public Service Commission
Answer: C.
Q. 37 Which of the following Viceroys of India addressed the Bengal famine of 1943 by ordering the army to distribute relief supplies to the starving rural Bengalis?
A. Lord Linlithgow
B. Lord Mountbatten
C. Lord Wavell
D. Lord Willington
Answer: A.
Q. 38 Which of the following acids is NOT present in grapes?
A. Acetic acid
B. Malic acid
C. Tartaric acid
D. Citric acid
Answer: A.
Q. 39 In memory of whom is the Madhavpur Mela of Gujarat celebrated?
A. Lord Krishna and Radha
B. Lord Krishna and Rukmini
C. Lord Krishna and daupadi
D. Lord Shiva and Parvati
Answer: B.
Q. 40 In which of the following years was the Congress Socialist Party (CSP) founded?
A. 1924
B. 1943
C. 1914
D. 1934
Answer: D.
Q. 41 According to data available as of 2019, how many national parks are situated in India?
A. 104
B. 115
C. 140
D. 131
Answer: A.
Q. 42 Who among the following is the chairman of the 15th Finance Commission of India?
A. Ramesh Chand
B. Subhash Chandra Garg
C. NK Singh
D. Arvind Mehta
Answer: C.
Q. 43 Who among the following founded the Bombay Stock Exchange?
A. Vikramjit Sen
B. Roychand depchand
C. Premchand Roychand
D. Ashiskumar Chauhan
Answer: C.
Q. 44 Who among the following Indian weight lifters has been banned for four years by NAD after being found guilty of A doping violation during the 34th Women Senior National Weight lifting Championship held at Vishakhapatnam?
A. Sanamacha Thingbaijani Chanu
B. Seema
C. Satheesha Rai
D. Sarbjeet Kaur
Answer: D.
Q. 45 Who among the following has been appointed as director of National Book Trust on 11th January 2020?
A. Gobinde Prashad Sharma
B. Lt Col Yuvraj Malik
C. Leela Samson
D. RitA. Chowdhury
Answer: B.
Q. 46 Which of the following academies organise the Tansen Sangeet Samaroh in Gwalior?
A. Renuka Sangeet Academy
B. Muntirama Sangeet Academy
C. Ravindra Jain Sangeet Academy
D. Ustad Alauddin Khan Kala Evam Sangeet Academy
Answer: D.
Q. 47 In which of the following states was the 12th naval exercise ‘Naseem-Al-Bahr’ between Indid and Oman held?
A. Kerala
B. Gujarat
C. Goa
D. Tamilnadu
Answer: C.
Q. 48 Which of the following is used as a substitute of mercury in thermometers?
A. Selenium
B. Arsenic
C. Galinstan
D. Bromine
Answer: C.
Q. 49
How many national highways were merged to form National Highway 44 (NH 44)?
A. 7
B. 4
C. 5
D. 6
Answer: A.
Q. 50 Under which Article of the Indian Constitution are special provisions provided to language spoken in a section of the population?
A. Article 347
B. Article 374
C. Article 357
D. Article 337
Answer: A.
Quantitative Aptitude
Instructions
For the following questions answer them individually
Q. 51 (a + b + c − d)2 − (a − b − c + d)2 =?
A. 2a(b + c − d)
B. 4a(b + c − d)
C. 2a(b + c + d)
D. 4a(b + c + d)
Answer: B.
Explanation:
(a + b + c − d)2 − (a − b − c + d)2
[(a + b + c − d)+(a − b − c + d)][(a + b +c − d) – (a − b − c + d)]
( ∵ a2 − b2 = (a + b)(a − b))
= (2a)(2a + 2c – 2d)
= 4a(a + c – d)
Q. 52 In the given figure, if DE ∥ BC, AD = 2.5 cm, D = 3.5 cm and EC = 4.2 cm, then the measure of AC is:
A. 3 cm
B. 7.2 cm
C. 7.4 cm
D. 3.2
Answer: B.
Q. 53 The perimeter of Asquare is 64 cm. Its area will be:
A. 256 cm2
B. 8 cm2
C. 32 cm2
D. 128 cm2
Answer: A.
Explanation:
The perimeter of A square = 64 cm
4× side = 64
Side = 64/4 = 16 cm
Area = (side)2 = (16)2 = 256 cm2
Q. 54 The price of sugar is increaseD. by 20%. By what percentage must one cut down on the consumption of sugar, so that no extra amount has to be incurreD. on sugar?
A. 16⅔ %
B. 20%
C. 80%
D. 80⅓ %
Answer: A.
Explanation:
Percentage decrements in the consumption of sugar = rate /(100+rate) × 100
20 /(100+20) × 100
20 /(120) × 100 = 16⅔ %
Q. 55 A furniture shopkeeper allows a discount of 16% on the marked price on the goods to his customers and still gains 20%. What is the marked price of a dining-table, which costs the shopkeeper ₹11,900?
A. ₹15,000
B. ₹12,376
C. ₹17,000
D. ₹16,000
Answer: C.
Explanation:
Cost price of dining table = Rs.11900
Profit = 20%
Selling price = 11900 × 120/100= Rs.14280
discount = 16%
Let the marked price 100%.
Selling price = 100 – 16 = 84%
84% = 14280
100% = 14280 / 84 × 100 = 17000
MarkeD. price of dining table = Rs.17000
Q. 56 The coefficient of x2 in (2x + y)3 is:
A. 8
B. 12y2
C. 12y
D. 12
Answer: C.
Explanation:
(2x + y)3
= (2x)3 + y3 + 3.2x.y(2x + y)
(∵ (a + b)3 = a3 + b3 + 3ab(a + b) )
= 8x3 + y3 + 6xy(2x + y)
= 8x3 + y3 + 12x2y + 6xy22
The coefficient x2 of = 12y
Q. 57 If tan θ − cot θ = cosec θ, 0∘ < θ < 90∘, then what is the value of (2 tan θ−cos θ )/(√3 cot θ+sec θ) ?
A. (3√3−1)/ 6
B. (4√3−1)/ 6
C. (2√3−1)/ 3
D. 2(2√3−1)/ 3
Answer: B.
Explanation:
tan θ − cot θ = cosec θ
tan θ − 1/tanθ = cosec θ
tan2 θ − 1 = cosec θ tan θ
sec2 θ − 1 − 1 = sec θ
sec2 θ − sec θ − 2 = 0
sec2 θ − 2 sec θ + sec θ − 2 = 0
sec θ(sec θ − 2) + 1(sec θ − 2) = 0
(sec θ + 1)(sec θ − 2) = 0
0∘ < θ < 90∘
For ,
sec θ = 2
cos θ = 1/2
θ = 60°
Now,
(2 tan θ−cos θ )/(√3 cot θ+sec θ)
Put the value of θ,
(2 tan 60°−cos 60° )/(√3 cot 60°+sec 60°)
(2√3− ½ )/(√3×(1/√3)+2)
(4√3−1)/ 6
Q. 58 The value of −1 + 1/4 ÷ 1/2 × 2 + 5 is:
A. 17/ 4
B. 5
C. 2
D. −7/ 2
Answer: B.
Explanation:
−1 + 1/4 ÷ 1/2 × 2 +5
= −1 + 1/4 × 2 × 2 +5
= −1 + 1 +5 = 5
Q. 59 The value of cos 0∘ cos 30∘ cos 45∘ cos 60∘ cos 90∘ is:
A. 5
B. 3
C. 0
D. √6 / 8
Answer: C.
Explanation:
cos 0∘ cos 30∘ cos 45∘ cos 60∘ cos 90∘ = 0
(∵ cos 0∘ = 0 )
Q. 60 The heights of some girls in a school were noted and the data obtained are as shown in the table.
How many girls have a height of 135 cm or more but less than 150 cm?
A. 88
B. 35
C. 80
D. 64
Answer: D.
Explanation:
Number of girls have A. height of 135 cm or more but less than 150 cm = 20 + 29 + 15 = 64
Q. 61 Sudhir purchased a laptop for ₹42,000 and a scanner-cum-printer for ₹8,000. He sold the laptop for a 10% profit and the scanner cum-printer for a 5% profit. What is his profit percentage?
A. 9⅖ %
B. 9⅕ %
C. 15 %
D. 7½ %
Answer: B.
Explanation:
Cost price of laptop = Rs.42000
Profit = 10%
Selling price = 42000 ×110 /100= Rs.46200 Cost price of printer = Rs.8000
Profit = 5%
Selling price = 8000 ×105 /100 = Rs.8400 Total selling price = 46200 + 8400 = Rs.54600 Total cost price = 42000 + 8000 = Rs.50000 Total profit = 54600 – 50000 = Rs.4600
Total profit% = 4600/50000 × 100 = 9⅕ %
Q. 62 The following table shows the income(in rupees) for a particular month, together with their source, in respect of 5 employees (A, B, C, D and E).
How many employees got more arrears than the average arrears received by all the employees?
A. 4
B. 1
C. 3
D. 2
Answer: C.
Explanation:
The average arrears received by all the employees = sum of terms/number of terms =(5500+4500+4000+3000+1500)/5
= 18500/5 = 3700
Required number = 3
∴ 3 employees(A, B and C) got more arrears than the average arrears received by all the employees.
Q. 63 In the figure, Two circles with centres P and Q touch externally at R. Tangents AT and BT meet the common tangent TR at T. If AP = 6 cm and PT = 10 cm, then BT = ?
A. 6 cm
B. 8 cm
C. 10 cm
D. 12 cm
Answer: B.
Q. 64 If x − 1/x = 11, then x3 − 1/x3 = ? is:
A. 1474
B. 1364
C. 1188
D. 1298
Answer: D.
Explanation:
x − 1/x = 11
x3 − 1/x3 = (x − 1/x)3 -3(x − 1/x)
∵ (a − b)3 = a3 − b3 − 3ab(a − b)
= (11)3-3(11)
= 1331 – 33 = 1298
Q. 65 The following table shows the monthly salaries (in ₹) of 50 families.
How many families have a monthly salary less than ₹40,000?
A. 46
B. 9
C. 27
D. 18
Answer: C.
Explanation:
Number of families which have monthly salary less than ₹40,000 = 6 + 12 + 9 = 27
Q. 66 The greatest number which should be replace ‘*’ in the number 146*48 to make it divisible by 8 is:
A. 8
B. 9
C. 2
D. 0
Answer: A.
Explanation:
For the divisible by 8, last 3 digits of the number shoulD. be divisible by 8 so, *48 divisible by 8.
From the option A),
Put the value of x = 8,
Last 3 digit = 848
It is divisible by 8 so, greatest value of * will be 8.
Q. 67 The following table shows the number of students enrolled in different faculties in a college.
The percentage of students studying in faculties other than Science is:
A. 60%
B. 80%
C. 75%
D. 20%
Answer: B.
Explanation:
Total number of student = 32 + 18 + 28 + 45 + 42 + 42 + 13 + 30 = 250
Total number of student in Arts, commerce, vocational = 28 + 45 + 42 + 42 + 13 + 30 = 200
Required percentage =200/250 × 100 = 80%
Q. 68 The distance between two stations, A and B, is 428 km. A train starts from station ‘A’ at 6:00 a.m. and moves towards station ‘B’ at an average speed of 48 km/h. Another train starts from station ‘B’ at 6:20 a.m. and moves towards station ‘A’ at an average speed of 55 km/h. At what time will the trains meet?
A. 10 : 20 a.m.
B. 9 : 40 a.m.
C. 10 : 40 a.m.
D. 10:00 a.m.
Answer: A.
Explanation:
distance from A to B = 428 km
Speed of train A = 48 km/hr
Speed of train B = 55 km/hr
Train A starts at 6:00 am and B start at 6:20 so,
distance covered by by train A in 20 min(20/60 hr) = speed × (20/60) = 48 × (1/3) = 16 km Remaining distance = 428 – 16 = 412 km
Trains run in opposite direction so relative speed = 48 + 55 = 103 km/hr
Time taken to meet = 412/103 = 4 hr
Time when trains meet = 6:20 + 4 = 10:20 am
Q. 69 A certain amount of money at compound interest grows to ₹66,550 in 3 years and ₹73,205 in 4 years. The rate per cent per annum is:
A. 9%
B. 5%
C. 11%
D. 10%
Answer: D.
Explanation:
difference in the interest in 4 years and 3 years = 73205 – 66550 = Rs.6655
Rate percentage =6655 / 66550 × 100 = 10%
Q. 70 The average height of 5 boys is 175 cm. a sixth boy joined the group and the average height of all the boys in the group now increased by 1 cm. The height of the sixth boy is:
A. 180 cm
B. 181 cm
C. 175 cm
D. 179 cm
Answer: B.
Explanation:
The average height of 5 boys = 175 cm
Average = sum of all terms/number of terms
Sum of the height of 5 boys = 175×5 = 875
Average height after joining of 6th boys = 175 + 1 = 176
Sum of the height of 6 boys = 176×6 = 1056
Height of 6th boy = 1056 – 875 = 181 cm
Q. 71 If angles of a triangle are in the ratio of 2 : 3 : 4, then the measure of the smallest angle is:
A. 50∘
B. 30∘
C. 40∘
D. 20∘
Answer: C.
Explanation:
Ratio of angles = 2 : 3 : 4
Let the angles be 2x, 3x and 4x.
We know the sum of the angles of a triangle is 180∘
2x + 3x + 4x = 180∘
x = 180∘/9 = 20∘
Smallest angle = 2x = 2 ×20 = 40∘
Q. 72 Sixteen men can finish a work in 8 days. Eight men and nine women working together can finish the same work in 10 days. In how many days will twenty women finish the same work?
A. 9
B. 12
C. 11
D. 13
Answer: B.
Explanation:
Total work = man/woman × time
Work is same so,
16m × 8 = (8m + 9w) \times 10
⇒ 128m = 80m + 90w
⇒ 48m = 90w
⇒ 8m = 15w
Let the 20 women complete work in days so,
Total work = 20w d
⇒ (8m + 9w) × 10 = 20w d
⇒ (15w + 9w) × 10 = 20w d
⇒ 24w × 10 = 20w d
⇒ d = 12 days
∴ Twenty women finish the same work in 12 days.
Q. 73 In the given figure, if ∠KLN = 58∘, then ∠KMN =?
A. 26∘
B. 42∘
C. 58∘
D. 32∘
Answer: C.
Q. 74 The value of √(tan 60∘ + sin 90∘) − 2 tan 45∘ is:
A. 0
B. 2
C. 4
D. 1
Answer: A.
Explanation:
√(tan 60∘ + sin 90∘) − 2 tan 45∘
On putting the values,
√{√3)2 + 1} − 2 × 1
= 2 – 2 = 0
Q. 75 A certain amount is divided among Sunita, Amit and Vibha in the ratio of 2 : 3 : 4. If Vibha gets ₹14,416, then the total amount is:
A. ₹16,219
B. ₹3,604
C. ₹43,248
D. ₹32,436
Answer: D.
Explanation:
Ratio of the amount of Sunita, Amit and Vibha = 2 : 3 : 4
Let the amount of Sunita, Amit and Vibha be 2x, 3x and 4x.
Amount of Vibha = 14416
4x = 14416
x = 14416/4 = 3604
Total amount = 2x + 3x + 4x = 9x
= 9 × 3604
= Rs.32436
English Comprehension
Instructions
For the following questions answer them individually
Q. 76 Select the most appropriate option to substitute the underlined segment in the given sentence. If no substitution is required, select No improvement.
I wish if I was the Principal of my school.
A. If I haD. been
B. I were
C. No improvement
D. that I am
Answer: B.
Q. 77 Select the passive form of the given sentence.
People claim to have seen the wild and mad elephant in several cities.
A. The wild and mad elephant has been claimed to be seen by the people in several cities.
B. The wild and mad elephant is being claimed to be seen in several cities.
C. The wild and mad elephant is claimed to have been seen in several cities.
D. The wild and mad elephant was claimed to be seen by people in several cities.
Answer: C.
Q. 78 In the sentence identify the segment which contains the grammatical error.
Lucy has already cut the cake when we reached the party hall.
A. the party hall
B. Lucy has already
C. when we reached
D. cut the cake
Answer: D.
Q. 79 Given below are four jumbled sentences. Out of the given options pick the one that gives their correct order.
A. There are many gadgets that are operated by a remote control and contain a silicon chip.
B. This produces an infra-red beam, made up of electromagnetic waves.
C. When a button is pressed on the remote control, the chip sets off an electronic vibration.
D. The beam carries a coded signal for operating the systems.
A. ADdB
B. ACD
C. ACBD
D. BACD
Answer: C.
Instructions
Select the most appropriate word to fill in the blank.
Q. 80 Health should be our first priority and should never be ______.
A. neglected
B. suspended
C. discarded
D. declined
Answer: A.
Q. 81 A colour blind person is not able to ______ between colours.
A. glance
B. distinguish
C. define
D. observe
Answer: B.
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.
Comprehension:
Corruption is one of the (1)______ problems of our country. It is an act done with (2)______ to gain some undue advantages, inconsistent with official duty. Government has (3)______ many schemes for the welfare of the people but corruption seems impossible to be (4)______ IndiA. can become A. corruption-free nation only when all the citizens (5)______ rules and regulations with A. strong will power and cooperate whole heartedly.
Q. 82 Select the most appropriate option for blank No. 1.
A. powerful
B. minor
C. major
D. strong
Answer: C.
Q. 83 Select the most appropriate option for blank No. 2.
A. compulsion
B. intention
C. intuition
D. passion
Answer: B.
Q. 84 Select the most appropriate option for blank No. 3.
A. denounced
B. written
C. announced
D. concealed
Answer: C.
Q. 85 Select the most appropriate option for blank No. 4.
A. eliminated
B. permitted
C. initiated
D. created
Answer: A.
Q. 86 Select the most appropriate option for blank No. 5.
A. reject
B. disobey
C. break
D. follow
Answer: D.
Instructions
For the following questions answer them individually
Q. 87 Select the most appropriate antonym of the given word.
Hostile
A. Amiable
B. Violent
C. Unfavourable
D. Adverse
Answer: A.
Q. 88 Select the correctly spelt word.
A. dfinite
B. dfinete
C. dfiniet
D. dfinate
Answer: A.
Q. 89 Select the most appropriate antonym of the given word.
Sluggish
A. Active
B. dll
C. Sedentary
D. Weak
Answer: A.
Q. 90 Identify the part of the sentence that contains the grammatical error.
One of the greatest responsibilities of a scientist is that his discoveries and inventions are utilized to the overall development of the nation.
A. is that his discoveries and inventions
B. are utilized to the overall
C. One of the greatest responsibilities of a scientist
D. development of the nation
Answer: B.
Q. 91 Select the indirect narration of the given sentence.
He said to me,” What time do the banks open and close?”
A. He asked me what time do the banks open and close.
B. He said me what time did the banks open and close.
C. He wanted to know what time the banks open and close.
D. He asked me what time the banks opened and closed.
Answer: D.
Q. 92 Select the most appropriate synonym of the given word.
deficiency
A. Abundance
B. Sufficiency
C. Inadequacy
D. Efficiency
Answer: C.
Q. 93 Given below are four jumbled sentences. Out of the given options pick the one that gives their correct order.
A. It is called the atmosphere.
B. All parts of the earth are surrounded by air.
C. Living beings breathe in and breathe out the air all the time.
D. This process is called respiration.
A. DCB
B. BACD
C. CBAD
D. ACD
Answer: B.
Q. 94 Select the most appropriate meaning of the given Idiom.
To add fuel to the fire.
A. Exploit someone
B. Simplify the problem
C. To make A bad situation worse
D. Calm down the situation
Answer: C.
Q. 95 Select the correctly spelt word.
A. Commemorate
B. Commemmorate
C. Comemorate
D. Comemmorate
Answer: A.
Q. 96 Select the most appropriate meaning of the given Idiom.
Hobson’s Choice
A. To be in an aggressive mood when facing A challenge
B. To challenge an unworthy opponent
C. An apparently free choice where there is no real alternative
D. To exercise the choice to surrender before the enemy
Answer: C.
Instructions
Select the most appropriate word that means the same as the group of words given.
Q. 97 A short story with A moral, usually with animals as characters.
A. Hymn
B. Fable
C. Parody
D. Ode
Answer: B.
Q. 98 Enclosed area where aircraft are kept and repaired
A. Hangar
B. Harbinger
C. Hose
D. Hanger
Answer: A.
Instructions
For the following questions answer them individually
Q. 99 Select the most appropriate option to substitute the underlined segment in the given sentence. If no substitution is required, select No improvement.
Amit has the good command on English as he was born and brought up in England
A. A better command of
B. the best command in
C. A good command over
D. No improvement
Answer: C.
Q. 100 Select the most appropriate synonym of the given word.
Catastrophic
A. dsastrous
B. Mysterious
C. Tough
D. dlicate
Answer: A.
