SSC CGL Tier-I 05 March 2020
Q. 1 Vineet, Rajesh and Kriti have different amounts of money with them. Rajesh has just double the amount of money than Vineet. The total amount of money that Rajesh and Kriti have is ₹147. Kriti has ₹6 more than the amount Vineet has. How much money does Kriti have ?
A. ₹64
B. ₹53
C. ₹50
D. ₹72
Answer: B.
Explanation:
Amount of Rajesh = 2×amount of Vineet
Amount of Kriti = 6 + amount of Vineet —(1)
Total amount of Rajesh and Kriti = 147
Amount of Rajesh + amount of Kriti = 147
2×amount of Vineet + 6 + amount of Vineet = 147
Amount of Vineet = 141/3 = 47
From eq (1),
Amount of Kriti = 6 + 47 = Rs. 53
∴ The correct answer is option B.
Q. 2 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: C.
Q. 3 Select the letter-cluster that can replace the question mark(?) in the following series. SAT, VEW,YIZ, ? , EUF
A. BOC.
B. BUK
C. FIC.
D. COD.
Answer: A.
Explanation:
In the series, middle letter of the letter-cluster is vowels so,
(S + 3)(A)(T + 3) = VEW
(V + 3)(E)(W + 3) = YIZ
(Y + 3)(I)(Z + 3) = BOC.
(B. + 3)(O)(C. + 3) = EUF
∴ The correct answer is option A.
Q. 4 Select the option in which the numbers are related in the same way as are the numbers in the given set. (7, 98, 196)
A. (15, 190, 380)
B. (18, 185, 360)
C. (11, 154, 308)
D. (20, 267, 520)
Answer: C.
Explanation:
In (7, 98, 196),
7×14 = 98
98×2 = 196
Similarly,
In (11, 154, 308),
11×14 = 154
154×2 = 308
∴ The correct answer is option C.
Q. 5 Select the dice that can be formed by folding the given sheet along the lines.
A. Only A. and B.
B. Only A.
C. Only B.
D. Only C. and D.
Answer: B.
Q. 6 Arrange the following words in the order in which they would appear in an English dictionary.
1. Category
2. Caption
3. Captain
4. Capsule
5. Capacity
A. 5,4,3,1,2
B. 5,4,3,2,1
C. 4,5,3,2,1
D. 5,4,1,3,2
Answer: B.
Explanation:
Order of the words according to the English dictionary,
Capacity, Capsule, Captain, Caption, Category
∴ The correct answer is option B.
Q. 7 Study the given pattern carefully and select the number that can replace the question mark (?) in it?
A. 14
B. 24
C. 30
D. 28
Answer: A.
Explanation:
(299+100)/21 = 399/21 = 19
(296+100)/18 = 396/18 = 14
Similarly,
(348+100)/32 = 448/32 = 14
∴ The correct answer is option A.
Q. 8 Four Letter-clusters have been given, out of which three are alike in some manner and one is different. Select the odd letter-cluster.
A. NRW
B. PTY
C. ADL
D. LPU
Answer: C.
Explanation:
N + 4 = R + 5 = W
P + 4 = T + 5 = Y
A + 3 = D + 8 = L
L + 4 = P + 5 = U
∴ The correct answer is option C.
Q. 9 Four words have been given. out of which three are alike in some manner and is different.
Select the odd word.
A. Rabies
B. Schizophrenia
C. Polio
D. Measles
Answer: B.
Explanation:
Except option B, remaining all are the disease which is caused by the virus.
∴ The correct answer is option B.
Q. 10 Pointing to the photograph of Sanchi, Nitin said, “Her mother’s father’s son’s wife is my mother-in-law’s only daughter”. How is Nitin related to Sanchi’s mother ?
A. Paternal uncle
B. Paternal grandfather
C. Maternal uncle
D. Brother
Answer: D.
Explanation:
In the diagram, square shows the males, circle shows the females, vertical lines shows the generation, single horizontal lines shows the brother/sister and double horizontal lines shows the couples.
From the diagram,
Nitin is the brother of Sanchi’s mother.
∴ The correct answer is option D.
Q. 11 Which of the following Venn diagram best represents the relationship between the following classes?
Income tax payers, Employees, Males
A.
B.
C.
D.
Answer: B.
Q. 12 ‘Vertebrate’ is related to ‘Monkey’in the same wayas ‘Invertebrate’is related to ‘ ……..’
A. Starfish
B. Snake
C. Deer
D. «Frog
Answer: A.
Explanation:
‘Vertebrate’ is related to ‘Monkey’in the same wayas ‘Invertebrate’is related to ‘starfish’.
∴ The correct answer is option A.
Q. 13 Select the option that is related to the third number in the same way as the second number is related to the first number.
4:69:: 11:2
A. 1029
B. 198
C. 176
D. 1336
Answer: D.
Explanation:
(4)3 + 3 = 64 + 5 = 69
(11)3 + 3 = 1331 + 5 =1336
∴ The correct answer is option D.
Q. 14 In a certain code language. ‘CAUGHT’ is coded as ‘326212087’. How will ‘SOLDER’ be coded asin that language?
A. 2012152358
B. 1912122359
C. 1915124359
D. 1812122459
Answer: B.
Explanation:
‘CAUGHT’ is coded as ‘326212087’,
C = 3
A = 27 – 1 = 26
U = 21
G = 27 – 7 =20
H = 8
T = 27 – 20 = 7
Similarly,
S = 19
O = 27 – 15 = 12
L = 12
D = 27 – 4 = 23
E = 5
R = 27 – 18 = 9
‘SOLDER’ is coded as ‘1912122359’
∴ The correct answer is option B.
Q. 15 Which two signs and two numbers should be interchanged to make the given equation correct?
11 × 7 ÷ 35 − 64 + 56 = 47
A. + and −; 7 and 11
B. × and ÷; 35 and 11
C. × and ÷; 35 and 56
D. + and −; 35 and 11
Answer: B.
Explanation:
11 × 7 ÷ 35 − 64 + 56 = 47
From the option B,
on changing the sign,
35 ÷ 7 × 11 − 64 + 56 = 47
55 – 64 + 56 = 47
47 = 47
∴ The correct answer is option B.
Q. 16 Select the correct mirror image of the given figure when a mirror is placed on its right side.
Answer: B.
Q. 17 Select the letter-cluster that can replace the question mark (?) in the following series.
AR, CP, ?, GL, IJ, KH
A. DM
B. DN
C. EN
D. EM
Answer: C.
Explanation:
(A + 2)(R – 2) = CP
(C + 2)(P – 2) = EN
(E + 2)(N – 2) = GL
(G + 2)(L – 2) = IJ
(I + 2)(J – 2) = KH
∴ The correct answer is option C.
Q. 18 Select the number that can replace the question mark (?) in the following series.
61, 63, 65, 77, 89, ? , 149, 205
A. 115
B. 123
C. 119
D. 132
Answer: C.
Explanation:
61 +(1)2 + 1 = 61 + 2 = 63
63 +(2)2 – 2 = 63 + 2 = 65
65 +(3)2 + 3 = 65 + 12 = 77
77 +(4)2 – 4 = 77 + 12 = 89
89 +(5)2 + 5 = 89 + 30 = 119
119 +(6)2 – 6 = 119 + 30 = 149
149 +(7)2 + 7 = 149 + 56 = 205
∴ The correct answer is option C.
Q. 19 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 therest
A. 17:323
B. 23: 575
C. 19:475
D. 11: 143
Answer: C.
Explanation:
17 × (17 + 2) = 17 × 19 = 323
23 × (23 + 2) = 23 × 25 = 575
19 × (19 + 2) = 19 × 21 = 399
11 × (11 + 2) = 11 × 13 = 143
∴ The correct answer is option C.
Q. 20 Select the figure that can replace the question mark (?) in the following series.
Answer: C.
Q. 21 In a certain code language, ‘SANCTION’ is written as ‘XFSHODIT’. How will ‘PROFOUND’ be written as in that language ?
A. UWTKJPHJ
B. UWTKKPIJ
C. UWTKNQIY
D. VWUKMPIY
Answer: A.
Explanation:
S + 5 = X
A + 5 = F
N + 5 = S
C + 5 = H
T – 5 = O
I – 5 = D.
O – 6 = I
N + 6 = T
Similarly,
P + 5 = U
R + 5 = W
O + 5 = T
F + 5 = K
O – 5 = J
U – 5 = P
N – 6 = H
D + 6 = J
‘PROFOUND’ is written as ‘UWTKJPHJ’.
∴ The correct answer is option A.
Q. 22 Select the option in which the words share the same relationship as that shared by the given pair of words. Examination: Invigilator
A. Election : Observer
B. Bank : Loan
C. Film : Comedian
D. Inspection : Approval
Answer: A.
Explanation:
Examinations are conducted by the invigilator.
Similarly,
Elections are conducted by the observer.
∴ The correct answer is option A.
Q. 23 How many triangles are there in the given figure?
A. 34
B. 33
C. 32
D. 35
Answer: C.
Q. 24 Select the option that is embedded in the given figure X (rotation is not allowed).
Answer: C.
Q. 25 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 from the statements. Statements:
1. Some papers are copies.
2. No copy is an eraser.
Conclusions:
I. Some copies are papers.
II. Some papers are erasers.
III. No paper is an eraser.
A. Only conclusion II and either conclusion I or III follow.
B. Only conclusions I and II follow.
C. Only conclusion I and either conclusion II or III follow.
D. Only conclusions I and III follow.
Answer: C.
Explanation:
From the Venn diagram,
Only conclusion I and either conclusion II or III follow
∴ The correct answer is option C.
General Awareness
Instructions
For the following questions answer them individually
Q. 26 The Indian Army is set to commission the first batch of women soldiers by year …….
A. 2020
B. 2022
C. 2021
D. 2023
Answer: C.
Q. 27 Part VIII of the Constitution of India deals with ______.
A. States
B. Municipalities
C. Union Territories
D. Panchayats
Answer: C.
Q. 28 Which of the following is NOT located in Odisha?
A. Mayurbhanj Elephant Reserve
B. Sambalpur Elephant Reserve
C. Sonitpur Elephant Reserve
D. Mahanadi Elephant Reserve
Answer: C.
Q. 29 Which of the following is NOT an ore of iron?
A. Cuprite
B. Haematite
C. Magnetite
D. Siderite
Answer: A.
Q. 30 The National Commission for Backward Classes (NCBC) was formed by insertion of Article ______ in the Constitution of India.
A. 328B
B. 328A
C. 338A
D. 338B
Answer: D.
Q. 31
Name the first female amputee to climb Mount Everest.
A. Premlata Agarwal
B. Arunima Sinha
C. Poorna Malavath
D. Anshu Jamsenpa
Answer: B.
Q. 32 Pernicious anaemia is caused by the deficiency of vitamin …….
A. B2
B. B6
C. B1
D. B12
Answer: D.
Q. 33 India won its ______ successive title at the South Asian Football Federation Women’s Championship in March 2019
A. fourth
B. sixth
C. second
D. fifth
Answer: D.
Q. 34 The excavated remains of ______ found near Patna in Bihar was inscribed as a World Heritage Site by UNESCO in July 2016.
A. Ashoka Pillar
B. Ellora Caves
C. Sanchi Stupa
D. Nalanda Mahavihara
Answer: D.
Q. 35 The headquarters of the Board of Control for Cricket in India (BCCI) are located in
A. Bengaluru
B. Mumbai
C. Kolkata
D. Delhi
Answer: B.
Q. 36 Name the first Lieutenant Governor of the Union Territory of Jammu and Kashmir.
A. Arif Mohammad Khan
B. Bhagat Singh Koshyari
C. Satya Pal Malik
D. Girish Chandra Murmu
Answer: D.
Q. 37 ______ is also known as the ‘Golden City
A. Dungarpur
B. Jodhpur
C. Bundi
D. Jaisalmer
Answer: D.
Q. 38 The aggregate value of goods and services produced in an economy can be calculated by three methods: income method, expenditure method and ______ method.
A. product / value added
B. spending
C. deposit
D. lending
Answer: A.
Q. 39 ……. renounced his knighthood in protest for Jalianwalla Bagh mass killing
A. Jamsetjee Jejeebhoy
B. Rabindranath Tagore
C. Shivajirao Holkar
D. Surendranath Banerjee
Answer: B.
Q. 40 ‘Dharmaraja (Yudhishthir) Ratha’, ‘Bhima Ratha’, ‘Arjuna Ratha’ and ‘Nakula Sahadeva Ratha’ are four of the Panch Rathas at Mahabalipuram. What is the name of the fifth Ratha?
A. Bhishma Ratha
B. Krishna Ratha
C. Karna Ratha
D. Draupadi Ratha
Answer: D.
Q. 41 The ______ in China is the world’s longest man-made waterway
A. Suzhou Canal
B. Kiel Canal
C. Corinth Canal
D. Grand Canal
Answer: D.
Q. 42 The Gadar (or Ghadar) Party was formed in the year …….
A. 1921
B. 1918
C. 1915
D. 1913
Answer: D.
Q. 43 Alai-Darwaza, the southern gateway of the Quwwat-ul-Islam mosque in Delhi, was constructed by …..
A. Mu’izz ad-Din Muhammad Ghori
B. Ahmad Shāh Durrani
C. Ala-ud-din Khilji
D. Muhammad bin Tughlu
Answer: C.
Q. 44 The Indus Waters Treaty was signed between India and Pakistan on …….
A. 19 September 1960
B. 12 November 1959
C. 16 December 1963
D. 18 October 1969
Answer: A.
Q. 45 ______ are homogeneous mixtures of two or more components.
A. Amalgams
B. Solutions
C. Enzymes
D. Emulsions
Answer: B.
Q. 46 The total number of images formed by two mirrors inclined at 120° to each other is ……
A. 4
B. 3
C. 2
D. 1
Answer: C.
Q. 47 Depreciation is an annual allowance for the wear and tear of ……….
A. work in progress
B. land
C. finished goods
D. capital goods
Answer: D.
Q. 48 The Padma Awards are announced around ______ every year.
A. Republic Day
B. Sadbhavana Diwas
C. Independence Day
D. Hindi Diwas
Answer: A.
Q. 49 Which of the following can be used as a catalyst in Hydrogenation reaction?
A. Barium
B. Iron
C. Tungsten
D. Palladium
Answer: D.
Q. 50 The ‘Hyderabad Fund’ had been held by the ______ in the account of the High Commissioner of Pakistan to the UK, Habib Ibrahim Rahimtoola
A. Bank of England
B. National Westminster Bank
C. Butterfield Private Bank
D. Kingdom Bank
Answer: B.
Quantitative Aptitude
Instructions
For the following questions answer them individually
Q. 51 In △ABC, ∠B = 90∘, If the points D and E are on the side BC such that BD = DE = EC then which of the following is true?
A. 5AE2 = 2AC2 + 3AD2
B. 8AE2 = 5AC2 + 3AD2
C. 8AE2 = 3AC2 + 5AD2
D. 5AE2 = 3AC2 + 2AD2
Answer: C.
Explanation:
Let the BD, BE and BC. be x, 2x and 3x respectively.
In △ABD,
(AD)2 = (AB)2 + (BD)2
(AD)2 = (AB)2 + (x)2 —-(1)
In △ABE,
(AE)2 = (AB)2 + (BE)2 (AE)2 = (AB)2 + (2x)2
(AE)2 = (AB)2 + 4x2 —(2)
In △ABC,
(AC)2 = (AB)2 + (BC)2
(AC)2 = (AB)2 + (3x)2
(AC)2 = (AB)2 + 9x2 —(3)
Eq(1) multiply by 4,
4AD2 = 4AB2 + 4x2 —(4)
Eq(4) – (2),
4AD2 − AE2 = 3AB2 —(5)
Eq(1) multiply by 9,
9AD2 = 9AB2 + 9x2 —(6)
Eq(6) – (3),
9AD2 − AC2 = 8AB2 —(7)
Eq(5) multiply by 8 and Eq(7) multiply by 3,
32AD2 − 8AE2 = 24AB2 —(8)
27AD2 − 3AC2 = 24AB2 —(9)
From eq(8) and (9),
32AD2 − 8AE2 = 27AD2 − 3AC2
8AE2 = 5AD2 + 3AC2
Q. 52 When a positive integer is divided by d, the remainder is 15. When ten times of the same number is divided by d. the remainder is 6. The least possible value of d is:
A. 9
B. 16
C. 18
D. 12
Answer: B.
Explanation:
When a positive integer is divided by d, the remainder is 15 and When ten times of the same number is divided by d. the remainder is 6. So,
15 will be also ten times so,
Remainder = 150
By the option B)
When 150 is divided by 16 then remainder will be 6.
Hence, correct answer is option B) 16.
Q. 53 Reema sold 48 articles for ₹ 2,160 and suffered a loss of 10%. How many articles should she sell for ₹2,016 to earn a profit of 12%?
A. 36
B. 40
C. 28
D. 32
Answer: A.
Explanation:
Selling price of 48 articles when loss of 10% = 2160
Cost price of 48 articles = 2160 / 90 ×100 = 2400
Cost price of 1 article = 2400/48 = 50
Selling price of when profit of 12% = 2016
Cost price = 2016 / 112 ×100 = 1800
Number of articles = 1800/50 = 36
Q. 54 A and B together borrowed a sum of ₹51,750 at an interest rate of 7%p.a. compound interest in such a way that to settle the loan, A paid as much amount after three years as paid by B after 4 years from the day of borrowing. The sum (in ₹) borrowed by B was:
A. 25,650
B. 26,750
C. 25,000
D. 24,860
Answer: C.
Explanation:
let A borrow be Rs.x.
Borrowed by B = 51,750 – x
compound interest rate(r) = 7%
Amount paid by A after 3 year = amount paid by B after 4 year
Amount = principal(1 + r/100)t
x(1 + 7/100)3 = (51, 750 − x)(1 + 7/100)4
x = (51, 750 − x) × 107/100
100x = 5537250 – 107x
x = 5537250/207 = 26750
Borrowed by B = 51,750 – x = 51,750 – 26750 = 25000
Q. 55 is equal to
A. (x−4)/(x+4)
B. (x+4)/x(4−x)
C. (x+4)/x(x−4)
D. (x+4)/(x−4)
Answer: C.
Explanation:
Q. 56 The marked price of an item is 25% above its cost price. A shopkeeper sells it, allowing a discount of x % on the marked price. If he incurs a loss of 8%, then the value of x is
A. 25.6%
B. 26.8%
C. 26.4%
D. 25.2%
Answer: C.
Explanation:
Let the cost price of an article be 100.
Marked price = 100 × 125/100 = 125
Discount = x%
Loss = 8%
Selling price = 100 × 92/100 = 92
Selling price = marked price – discount
Discount = 125 – 92 = 33
x% = 33/125×100 = 26.4%
Q. 57 What x is added to each of 10, 16, 22 and 32, the numbers so obtained in this order are in proportion? What is the mean proportional between the numbers (x + 1) and (3x + 1)?
A. 12
B. 9
C. 15
D. 10
Answer: C.
Explanation:
If x is added to each of numbers, the numbers so obtained in this order are in proportion
so, (10 + x)/(16 + x) = (22 + x)/(32 + x)
(10 + x)(32 + x) = (16 + x)(22 + x)
320 + 10x + 32x + x2 = 352 + 16x + 22x + x2
320 + 42x = 352 + 38x
4x = 32
x = 8
(x + 1) = 8 + 1 = 9
(3x + 1) = 24 + 1 = 25
Mean proportional = √(9×25) = 15
Q. 58 What is the value of
A. 1
B. 0
C. 2
D. -1
Answer: B.
Explanation:
Q. 59 The average of some numbers is 54.6. If 75% of the numbers are increased by 5.6 each, and the rest are decreased by 8.4 each, then what is the average of the numbers so obtained?
A. 55.6
B. 55.8
C. 56.7
D. 56.3
Answer: C.
Explanation:
New average of the numbers = (average + increment/decrements)
The average of some numbers = 54.6
75% of the numbers are increased by 5.6 each, and the rest are decreased by 8.4 each so,
New average of the numbers = 54.6 + (5.6 × 75/100 – 8.4 × 25/100) = 54.6 + 4.2 – 2.1 = 56.7
Q. 60 Diameter AB of a circle with centre O is produced to a point P such that PO = 16.8 cm. PQR is a secant which intersects the circle at Q and R such that PQ = 12 cm and PR = 19.2 cm.The length of AB (in cm) is :
A. 14.2
B. 15.2
C. 15.8
D. 14.4
Answer: D.
Explanation:
Q. 61 A boat can go 3.6 km upstream and 5.4 km downstream in 54 minutes, while it can go 5.4 km upstream and 3.6 km downstream in 58.5 minutes. The time (in minutes) taken by the boat in going 10 km downstream is:
A. 48
B. 50
C. 45
D. 54
Answer: B.
Explanation:
Let the speed of speed of stream be u and speed of boat in still water be v.
Speed of boat in upstream = u – v
Speed of boat in downstream = u + v
A boat can go 3.6 km upstream and 5.4 km downstream in 54 minutes so,
Time = distance/speed
3.6/(u – v) + 5.4/(u + v) = 54/60
3.6/(u – v) + 5.4/(u + v) = 9/10
36/(u – v) + 54/(u + v) = 9
4(u + v) + 6(u – v) = u2 – v2
10u – 2v = u2 – v2 —(1)
Boat can go 5.4 km upstream and 3.6 km downstream in 58.5 minutes so,
5.4/(u – v) + 3.6/(u + v) = 58.5/60
54/(u – v) + 36/(u + v) = 585/60
6/(u – v) + 4/(u + v) = 13/12
72(u + v) + 48(u – v) = 13(u2 – v2)
120u + 24v = 13(u2 – v2)
Put the value of eq(1),
120u + 24v = 13 × (10u – 2v)
120u + 24v = 130u – 26v
10u = 50v
u = 5v —(2)
put the value of u in eq(1),
50v – 2v = 25v2 – v2
48v = 24v2
v = 2
put the value of v in eq(2),
u = 5 × 2 = 10
Speed of boat in downstream = u + v = 10 + 2 = 12
The time taken by the boat in going 10 km downstream = distance/speed = 10/12 hours = 60 × 10/12 = 50 min
Q. 62 If 5cosθ – 12sinθ = 0, then what is the value of (1 + sinθ + cosθ)/(1-sinθ + cosθ)
A. 5/4
B. 3/2
C. 3/4
D. 5/2
Answer: B.
Explanation:
5cosθ – 12sinθ = 0
tan θ =5/12
We know that tanθ = perpendicular/base
so,
By the triplet 5-12-13,
Hypotenuse = 13
sin θ = 5/13
cos θ= 12/13
(1 + sin θ + cos θ)/(1 – sin θ + cos θ)
= (1 + 5/13 + 12/13)/(1 – 5/13 + 12/13)
= 30/20=3/2
Q. 63 The given table represents the sale (in thousands) of cars by four companies A, B, C and D in six years. Study the table and answer the question that follows.
The total number of cars sold by companies A in 2017 and C in 2013 is what percentage of the total number of cars sold by all four companies in 2013 and 2016? (correct to one decimal place)
A. 23.8
B. 24.2
C. 25.6
D. 23.3
Answer: D.
Explanation:
The total number of cars sold by companies A in 2017 and C in 2013 = 52 + 65 = 117
The total number of cars sold by all four companies in 2013 = 45 + 63 + 65 + 67 = 240
The total number of cars sold by all four companies in 2016 = 72 + 58 + 70 + 63 = 263
The total number of cars sold by all four companies in 2013 and 2016 = 240 + 263 = 503
Required percentage = 117/503 × 100 = 23.26% ~ 23.3%
Q. 64 If 11sin2θ – cos2θ + 4sin θ – 4 = 0, 00< θ < 900, then what is the value of (cos 2θ + cot 2θ) / (sec 2θ – tan 2θ)
A. (12+7√3)/6
B. (12+5√3)/3
C. (10+5√3)/3
D. (10+7√3)/6
Answer: A.
Explanation:
11sin2θ – cos2θ + 4sinθ – 4 = 0
11sin2θ – (1-sin2θ) + 4sinθ – 4 = 0
12sin2θ + 4sinθ – 5 = 0
12sin2θ + 10sinθ –6sinθ – 5 = 0
2sinθ (6sinθ+5)−1(6sinθ+5)= 0
(2sinθ −1) (6sinθ+5) = 0
For 00< θ < 900
sinθ= ½
θ = 300
(cos 2θ + cot 2θ) / (sec 2θ – tan 2θ)
On putting the value of θ,
Q. 65 If the radius of a right circular cylinder is decreased by 10%, and the height is increased by 20%, then the percentage increase/decrease in its volume is:
A. increase by 2.8%
B. decrease by 1.8%
C. increase by 1.8%
D. decrease quadrilateral by in 2.8%
Answer: D.
Explanation:
Volume of right circular cylinder = π r2h
Radius of a right circular cylinder is decreased by 10%, and the height is increased by 20% so,
r1 = r × 90/100 = 0.9r
h1 = h × 120/100 = 1.2h
Volume of new right circular cylinder =π r12h1 = π (0.9r)2(1.2h) = 0.972 π r2h
Decrements in volume = π r2h – 0.972π r2h = 0.028π r2h
Percentage Decrements in volume = (0.028π r2h)/(π r2h) × 100 = 2.8%
Q. 66 ABCD is a cyclic quadrilateral which sides AD and BC are produced to meet at P, and sides DC and AB meet at Q when produced. If ∠A = 600 and ∠ABC = 720,then ∠PDC – ∠DPC = ?
A. 240
B. 300
C. 360
D. 400
Answer: A.
Explanation:
In ΔABP,
∠A + ∠ABC + ∠APB = 1800
∠APB = 1800 – 600 – 720 = 480
∠ADC = 1800 – ABC = 1800 – 720 = 1080
∠PDC = 1800 – ∠ADC = 1800 – 1080 = 720
∠PDC – ∠DPC = 72 – 48 = 240
Q. 67 The given table represents the sale (in thousands) of cars by four companies A, B, C and D in six years. Study the table and answer the question that follows.
The Total number of cars sold by company C in 2018 exceeds the average number of cars sold by company A during 2014 to 2018 by:
A. 15,000
B. 14,000
C. 16,000
D. 12,000
Answer: C.
Explanation:
Total number of cars sold by company C. in 2018 = 76000
Total number of cars sold by company A during 2014 to 2018 = 52000 + 61000 + 72000 + 52000 + 63000 = 300000
Average number of cars sold by company A during 2014 to 2018 = 300000/5 = 60000
Required number = 76000 – 60000 = 16000
Q. 68 A and B spend 60% and 75% of their incomes, respectively. If the savings of A are 20% more than that of B then by what percentage is the income of A less than the income of B?
A. 15
B. 20
C. 10
D. 25
Answer: D.
Explanation:
Let the income of A. and B. be X and Y respectively.
Saving of A = X – 60/100 × X = 0.4X
Saving of B = Y – 75/100 × Y = 0.25Y
If the savings of A are 20% more than that of B. then,
Saving of A = 0.25Y × 120/100 = 3Y/10
0.4X = 3Y/10
4X = 3Y
Ratio of income of A. and B. = 3 : 4
Required percentage = (4 – 3)/4 × 100 = 25%
Q. 69 The given table represents the sale (in thousands) of cars by four companies A, B, C and in six years. Study the table and answer the question that follows.
The total number of cars sold by company B. during 2015, 2017 and 2018 is what percentage less than the total number of cars sold by company C. in 2013, 2015, 2017 and 2018?
A. 16⅔
B. 33⅓
C. 50
D. 40
Answer: B.
Explanation:
The total number of cars sold by company B during 2015, 2017 and 2018 = 60 + 53 + 67 = 180
The total number of cars sold by company C in 2013, 2015, 2017 and 2018 = 65 + 66 + 63 + 76 = 270
Required percentage = (270 – 180)/270 × 100 = 33⅓%
Q. 70 To complete a certain task, X is 40 % more efficient than Y, and Z is 40% less efficient than Y. Working together, they can complete the task in 21 days. Y and Z together worked for 35 days. The remaining work will be completed by X alone in:
A. 8 days
B. 4 days
C. 6 days
D. 5 days
Answer: D.
Explanation:
Efficiency of X = 140% of Y = 1.4Y
Efficiency of Z = 60% of Y = 0.6Y
Efficiency of X, Y and Z = 1.4 : 1 : 0.6 = 7 : 5 : 3
They can complete the task in 21 days so,
Total work = sum of efficiency ratio × times = (7 + 5 + 3) × 21 = 315
Y and Z together worked for 35 days so,
Work done by Y and Z = (5 + 3) × 35 = 280
Remaining work = 315 – 280 = 35
Remaining work complete by X = work/efficiency = 35/7 = 5 days
Q. 71 The given table represents the sale (in thousands) of cars by four companies A, B, C and D in six years. Study the table and answer the question that follows.
What is the ratio of the total number of cars sold by companies A, B and D in 2017 to the total number of cars sold by all four companies in 2018?
A. 3:4
B. 6:13
C. 9:14
D. 18:23
Answer: C.
Explanation:
The total number of cars sold by companies A, B and D in 2017 = 52 + 53 + 75 = 180
The total number of cars sold by all four companies in 2018 = 63 + 67 + 76 + 74 = 280
The ratio of the total number of cars sold by companies A, B and D in 2017 to the total number of cars sold by all four companies in 2018 = 180 : 280 = 9 : 14
Q. 72 The value of is:
A. 4⅓
B. 5⅚
C. 4 5/12
D. 5 5/12
Answer: C.
Explanation:
=> 4 5/12
Q. 73 In ΔPQR, PQ = 24 cm and ∠Q = 580 S and T are the points on side PQ and PR, respectively, such that ∠STR = 1220 and If PS = 14 cm and PT = 12 cm, then the length of RT is :
A. 14.8 cm
B. 16 cm
C. 15 cm
D. 16.4 cm
Answer: B.
Explanation:
∠PTS + ∠ STR = 1800
∠PTS = 180 – 122 = 580
∠P is a common angle.
Δ PQR and ∠PTS are similar triangle. SO,
PT/PQ = PS/PR
12/24 = 14/PR
PR = 28 cm
RT = PR – PT = 28 – 12 = 16 cm
Q. 74 If then the value of xy is :
A. 4
B. 10
C. 6
D. 8
Answer: A.
Explanation:
Q. 75 If 20x2 — 30x + 1 = 0, then what is the value of 25x2+1/16x2
A. 58¾
B. 53¾
C. 53½
D. 58½
Answer: B.
Explanation:
English Comprehension
Instructions
For the following questions answer them individually
Q. 76 Select the correctly spelt word.
A. Beaureacracy
B. Recrutment
C. Reimbursement
D. Surveliance
Answer: C.
Q. 77 Select the appropriate meaning of the given idiom.
To take the bull by the horns
A. To speak arrogantly
B. To murder someone
C. To surrender to the enemy
D. To handle difficulties
Answer: D.
Q. 78 Given below are four jumbled sentences. Select the option that gives their correct order.
A. Although I had a fear of water, I thought it was an important skill I should learn.
B. However, what I didn’t realize was that it would also make me a more confident person.
C. I also thought it would be a good exercise that would make me physically stronger.
D. One of the hardest things I’ve had to do was to learn how to swim.
A. DCBA
B. ACDB
C. DACB
D. BADC
Answer: C.
Q. 79 Select the correctly spelt word
A. Definition
B. Competiter
C. Proliferete
D. Beneficiery
Answer: A.
Q. 80 Select the correct synonym of the given word.
Erudite
A. Learned
B. Strong
C. Fashionable
D. Illiterate
Answer: A.
Q. 81 Select the passive form of the given sentence.
They are constructing a residential youth hostel.
A. A residential youth hostel is constructed by them
B. A residential youth hostel was constructed by them.
C. A residential youth hostel has been constructed by them
D. A residential youth hostel is being constructed by them
Answer: D.
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:
Drug addiction is the continued use of a particular drug (1)______ harmful consequences. Drug addiction not only affects an individual’s health and relationship, but also (2)______ the society and the environment. Prevention of a particular list of drugs can be possible by (3)______ their sale without a prescription. Drug addicts should be given proper medical treatment and (4)______ facilities. Motivational and awareness camps should be organized to scale down the consumption (5)______ drugs.
Q. 82 Select the most appropriate option for blank No. 1
A. despite of
B. though
C. in spite
D. despite
Answer: D.
Q. 83 Select the most appropriate option for blank No. 2
A. .imparts
B. impacts
C. reflects
D. reduces
Answer: B.
Q. 84 Select the most appropriate option for blank No. 3
A. conducting
B. restricting
C. performing
D. promoting
Answer: B.
Q. 85 Select the most appropriate option for blank No. 4
A. regeneration
B. resignation
C. rehabilitation
D. regression
Answer: C.
Q. 86 Select the most appropriate option for blank No. 5
A. for
B. of
C. from
D. by
Answer: B.
Instructions
For the following questions answer them individually
Q. 87 Select the correct antonym of the given word.
Allure
A. Revive
B. Rewind
C. Repulse
D. Attract
Answer: C.
Q. 88 Select the word which means the same as the groups of words given.
A. long and aggressive speech
A. Harangue
B. Eloquence
C. Prologue
D. Discussion
Answer: A.
Q. 89 Select the word which means the same as the groups of words given.
The school or college in which one has been educated
A. Alma mater
B. Alumni
C. Graduate
D. Mentor
Answer: A.
Q. 90 Given below are four jumbled sentences. Select the option that gives their correct order.
A. During the celebration, many people display a set of ornamental dolls known as ‘Hina’ dolls.
B. Hinamatsuri is a celebration of the girls in Japan wishing them a bright future.
C. These royal-looking dolls are dressed in the clothing of the Heian period.
D. These dolls represent the Emperor, Empress and other royal representatives.
A. CDBA
B. ACBD
C. DBAC
D. BADC
Answer: D.
Q. 91 In the sentence identify the segment which contains the grammatical error.
The old man did not wanted to eat any food.
A. to eat
B. did not wanted
C. any food
D. The old man
Answer: B.
Q. 92 Select the most appropriate word to fill in the blank.
All students should express their ______ views in the group discussion without any fear
A. outspoken
B. guarded
C. candid
D. secluded
Answer: C.
Q. 93 Select the most appropriate word to fill in the blank.
All his endeavors to win his teacher’s favour proved ______ and did not bring the desired results.
A. perpetual
B. futile
C. apparent
D. prosperous
Answer: B.
Q. 94 In the sentence identify the segment which contains the grammatical error.
No least than fifty participants were present for the singing competition.
A. No least than
B. the singing competition
C. fifty participants wer
D. present for
Answer: A.
Q. 95 Select the correct antonym of the given word.
Bizarre
A. Strange
B. Usual
C. Happy
D. Weird
Answer: B.
Q. 96 Select the most appropriate option to substitute the underlined segment in the given sentence. If no substitution is required, select No improvement.
Many of a students were not shortlisted for the personal interview
A. No improvement
B. Many of students
C. The many student
D. Many of the students
Answer: D.
Q. 97 Select the appropriate meaning of the given idiom.
To flog a dead horse
A. To waste the efforts
B. To accept the challenge
C. To complete the work
D. To make the best use of resources
Answer: A.
Q. 98 Select the most appropriate option to substitute the underlined segment in the given sentence. If no substitution is required, select No improvement.
When I was working in a software company, it was mandatory to register my legally as an authorized software developer.
A. register me legal
B. register myself legally
C. register mine legally
D. No improvement
Answer: B.
Q. 99 Select the correct indirect form of the given sentence.
“Hello”, he said to his friend. “What can I do for you?””
A. He said hello and asked his friend what can do for him
B. He asked and greeted his friend that what he can do for him
C. He greeted his friend and asked what he could do for him
D. He told hello and asked his friend what he could do for him
Answer: C.
Q. 100 Select the correct synonym of the given word.
Violent
A. Kind
B. Mild
C. Calm
D. Aggressive
Answer: D.
