SSC CGL 4th March 2020 Shift-1
General Intelligence and Reasoning
Instructions
For the following questions answer them individually
Q. 1 Select the figure that can replace the question mark (?) in the following series.
Answer: A.
Explanation: next figure,
∴ The correct answer is option A.
Q. 2 Four words have been given, out of which three are alike in some manner, while one is different. Select the odd word.
A. Righteousness
B. Virtue
C. Conduct
D. Probity
Answer: C.
Explanation: Except ‘conduct’ remaining all have the same meaning.
∴ The correct answer is option C.
Q. 3 How many triangles are present in the given figure?
A. 26
B. 28
C. 22
D. 30
Answer: C.
Explanation:
Number of triangles in ABFE = 10
Number of triangles in EFCD = 10
And 2 triangles are AFD and CEB
Total number of triangle = 10 + 10 + 2 = 22
∴ The correct answer is option C.
Q. 4 Study the given pattern carefully and select the number that can replace the question mark (?) in it.
A. 200
B. 196
C. 199
D. 169
Answer: C.
Explanation:
(7)2 + 4 = 49 + 4 = 53
(11)2 + 6 = 121 + 6 = 127
(14)2 + 3 = 196 + 3 = 199
∴ The correct answer is option C.
Q. 5 In a certain code language, LARVAE is coded as 3-1-9-4-1-5. How will INSECT be coded as in that language?
A. 9-4-8-4-6-7
B. 3-4-8-2-6-8
C. 9-4-8-2-6-7
D. 9-5-10-5-3-2
Answer: D.
Explanation:
L(12) = 1 + 2 = 3
A(1) = 1
R(18) = 1 + 8 = 9
V(22) = 2 + 2 = 4
A(1) = 1
E(5)= 5
Similarly,
I(9)= 9
N(14) = 1 + 4 = 5
S(19) = 1 + 9 = 10
E(5) = 5
C(3)= 3
T(20) = 2 + 0 = 2
‘INSECT’ is coded as 9-5-10-5-3-2.
∴ The correct answer is option D.
Q. 6 Select the letter-cluster that can replace the question mark (?) in the following series. DAC, GWH,JSM, MOR, ?
A. QKV
B. PKW
C. QJW
D. PJV
Answer: B.
Explanation:
So, next letter cluster = PKW
∴ The correct answer is option B.
Q. 7 Select the number that can replace the question mark (?) in the following series. 17, 20, 15, 22, 13, ?
A. 2
B. 22
C. 4
D. 24
Answer: D.
Explanation:
The series follows as pattern,
17 + 3 = 20
20 – 5 = 15
15 + 7 = 22
22 – 9 = 13
13 + 11 = 24
∴ The correct answer is option D.
Q. 8 Select the option in which the numbers are related in the same way as are the numbers in the given set. (109, 114, 139)
A. (419, 424, 439)
B. (268, 302, 237)
C. (579, 534, 549)
D. (313, 318, 343)
Answer: D.
Explanation:
In (109, 114, 139),
109 + 5 = 114
114 + 52 = 114 + 25 = 139
Similarly,
In (313, 318, 343),
313 + 5 = 318
318 + 52 = 318 + 25 = 343
∴ The correct answer is option D.
Q. 9 Which two signs should be interchanged to make the given equation correct?
225 + 5 × 3 ÷ 5 − 7 = 133
A. −and×
B. +and÷
C. +and×
D. −and÷
Answer: B.
Explanation:
225 + 5 × 3 ÷ 5 − 7 = 133
From the option B,
225 ÷ 5 × 3 + 5 − 7 = 133
45 × 3 + 5 − 7 = 133
135 + 5 − 7 = 133
133 =133
∴ The correct answer is option B.
Q. 10 The given Venn diagram represents artists in a circus:
The triangle represents clowns, the circle represents acrobats, the rectangle represents males and the square represents ringmasters. The numbers given in the diagram represent the number of persons in that particular category.
How many male clowns are also ringmasters, but NOT acrobats?
A. 15
B. 5
C. 17
D. 11
Answer: C.
Explanation:
Number of male clowns which are ringmasters, but NOT acrobats = 17
∴ The correct answer is option C.
Q. 11 Arsh is Shivam’s father and Dhruvis the son of Bimla. Eshwar is the father ofArsh. If Shivam is the brother of Dhruv, how is Bimla related to Eshwar?
A. Wife
B. Daughter-in-law
C. Mother
D. Sister-in-law
Answer: B.
Explanation:
In the diagram, the square and circle shows the male and females respectively. Vertical lines show the son/father, horizontal line sow the brother/sister and double horizontal lines show the couple.
From the diagram,
Bimla is daughter-in-law of Eshwar.
Q. 12 Select the option in which the words share the same relationship as that shared by the given pair of words. Hive : Bee
A. Burrow : Hare
B. Sty : Dog
C. Eyrie : Bear
D. Stable : Cow
Answer: A.
Explanation:
Bee lives in hive similarly,
Hare lives in burrow.
∴ The correct answer is option A.
Q. 13 Select the correct combination of mathematical signs to sequentially replace the * signs, to balance the following equation.
(12 * 7 * 6) * 13 * 6
A. ×, −, ÷, =
B. ÷, −, =, ×
C. −, ÷, ×, =
D. ×, =, ÷, −
Answer: A.
Explanation:
(12 * 7 * 6) * 13 * 6
From the option A,
(12×7− 6)÷ 13 = 6
78÷ 13 = 6
6 = 6
∴ The correct answer is option A.
Q. 14 In a certain code language, STRAIGHT is written as TSARGITH. How will THURSDAY be written as in that language?
A. UHTDRSYA
B. HTRUDSYA
C. HTRUDSAY
D. AYSDURTH
Answer: B.
Explanation:
Similarly,
∴ The correct answer is option B.
Q. 15 Select the option figure in which the given figure is embedded (rotation is NOT allowed).
Answer: D.
Explanation:
The following answer figure contains question figure,
∴ The correct answer is option D.
Q. 16 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 cars are rockets.
2. All rockets are engines.
Conclusions:
I. Some engines are rockets.
II. Some engines are cars.
A. Neither conclusion I norII follows.
B. Only conclusion II follows.
C. Only conclusion I follows.
D. Both conclusions I and II follow.
Answer: D.
Explanation:
From the Venn diagram,
Both conclusions I and II follow.
∴ The correct answer is option D.
Q. 17 Arrange the following words in the order in which they appear in an English dictionary.
1. Gemlike
2. Geminate
3. Gemmier
4. Geminal
5. Gemini
A. 4, 3, 2, 1, 5
B. 3, 5, 4, 1, 2
C. 4, 5, 2, 1, 3
D. 4, 2, 5, 1, 3
Answer: D.
Explanation:
Word according to English dictionary,
Geminal, Geminate, Gemini, Gemlike, Gemmier
∴ The correct answer is option D.
Q. 18 Which of the option figures is the exact mirror image of the given figure when the mirror is held at the right side?
Answer: A.
Explanation:
Mirror image = 
∴ The correct answer is option A.
Q. 19 Select the option that is related to the third word in the same way as the second word is related to the first word.
Jackal : Howl:: Rain : ?
A. Hustle
B. Thunder
C. Patter
D. Drops
Answer: C.
Explanation:
As howl is related to the jackal similarly, patter is related to the rain.
∴ The correct answer is option C.
Q. 20 Select the set of letters that when sequentially placed in the blanks of the given letter series will complete the series.
_swws_wwws_swwww_sss
A. w, s, w, s
B. w, s, s, s
C. w, w, s, s
D. w, s, s, w
Answer: B.
Explanation:
w/s/ww/ss/www/sss/wwww/ssss
∴ The correct answer is option B.
Q. 21 Four letter-clusters have been given, out of which three are alike in some manner, while one is different. Select the odd letter-cluster.
A. YXW
B. FGH
C. NML
D. TSR
Answer: B.
Explanation:
Except ‘FGH’ remaining all letter-clusters are in decreasing order.
∴ The correct answer is option B.
Q. 22 Select the box that CANNOT be formed by folding the given unfolded box.
Answer: B.
Explanation:
From the unfolded box,
Opposite side of a = c
Opposite side of f = d
Opposite side of b = e
∴ The correct answer is option B.
Q. 23 A recent survey of married couples in Indian metro cities showed that 20% of the couples have only one child, 45% of the remaining couples have two children, and the rest of the couples have three or more children. What is the percentage of couples with three or more children?
A. 56%
B. 44%
C. 42%
D. 35%
Answer: B.
Explanation:
Let the total couple be 100.
Couple with one child = 20
Remaining couples = 100 – 20 = 80
Couple with two child = 45% of the remaining = (80×45) /100 = 36
Couples with three or more children = 80 – 36 = 44%
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.
Explanation:
Look of the paper when unfolded –
∴ The correct answer is option B.
Q. 25 Select the option that is related to the third number in the same way as the second number is related to the first number and the sixth number is related to the fifth number.
52 : 221 :: 20 : ? :: 64 : 272
A. 85
B. 84
C. 255
D. 170
Answer: A.
Explanation:
52×4 + 52/4 = 208 + 13 = 221
64 ×4 + 64/4= 256 + 16 = 272
Similarly,
20×4 + 20/4 = 80 + 5 = 85
∴ The correct answer is option A.
General Awareness
Instructions
For the following questions answer them individually
Q. 26 The ________ lake in Gujarat was an artificial reservoir built during the rule of the Mauryas.
A. Pushkar
B. Sudarshana
C. Loktak
D. Lonar
Answer: B.
Q. 27 _________ was the capital of Magadha before the 4th century BCE.
A. Varanasi
B. Mathura
C. Rajagaha
D. Pataliputra
Answer: C.
Q. 28 Which of the following is NOT a folk dance belonging to the union territory of Jammu and Kashmir?
A. Hafiza
B. Dhumal
C. Dangi
D. Rouf
Answer: C.
Q. 29 Lt. General _______ took charge as the Chief of Army Staff on 31 December 2019.
A. Bipin Rawat
B. Manoj Mukund Naravane
C. Ravendra Pal Singh
D. Anil Chauhan
Answer: B.
Q. 30 The Harshacharita is a biography of Harshavardhana, the ruler of Kannauj, composed in Sanskrit by his court poet, _______.
A. Jinsena
B. Dandin
C. Kamban
D. Banabhatta
Answer: D.
Q. 31 In biological terms, _______ is a relationship between two organisms in which one organism benefits and the other is unaffected.
A. Amensalism
B. Commensalism
C. Parasitism
D. Mutualism
Answer: B.
Q. 32 The 14th Dalai Lama resides in _______.
A. Shillong
B. Kalimpong
C. Dharamsala
D. Gangtok
Answer: C.
Q. 33 According to the United Nations’ World Economic Situation and Prospects Report, 2019, the Indian economy is expected to expand by _____ in 2020.
A. 7.1%
B. 7.6%
C. 7.8%
D. 7.2%
Answer: A.
Q. 34 In the 4th century BCE, the capital of Magadha was shifted to ________.
A. Panipat
B. Varanasi
C. Mathura
D. Pataliputra
Answer: D.
Q. 35 Article 17 of the Constitution of India deals with the abolition of ________.
A. untouchability
B. slavery
C. titles
D. sati
Answer: A.
Q. 36 In April 2019, scientists in ________ produced the world’s first 3D. printed heart using human tissue.
A. Croatia
B. Kenya
C. Ethiopia
D. Israel
Answer: D.
Q. 37 The Vedic Civilization in India flourished along the river__________.
A. Tapi
B. Narmada
C. Saraswati
D. Godavari
Answer: C.
Q. 38 _______ expansion makes the Eiffel Tower taller during summers.
A. Thermal
B. Chemical
C. Gravitational
D. Gradient
Answer: A.
Q. 39 King Harshavardhana ascended the throne of Thaneshwar and Kannauj on the death of his brother, ________.
A. Rajyavardhana
B. Suryavardhana
C. Indravardhana
D. Chandravardhana
Answer: A.
Q. 40 Who was the President of the World Bank Group as of January, 2020?
A. Paul Wolfowitz
B. David Malpass
C. Robert Zoellick
D. Jim Yong Kim
Answer: B.
Q. 41 Who among the following is an Indian Olympic archer and Padma Shri winner?
A. Bajrang Punia
B. Balbir Singh Dosanjh
C. Limba Ram
D. Kidambi Srikanth
Answer: C.
Q. 42 In May 2019, the International Monetary Fund agreed to bail out ________ with a fund of $6 billion.
A. India
B. Bangladesh
C. Nepal
D. Pakistan
Answer: D.
Q. 43 Planetary scientists call the thin gaseous envelope around the Moon as the _______.
A. lunar exosphere
B. lunar thermosphere
C. lunar stratosphere
D. lunar endosphere
Answer: A.
Q. 44 The major component of modern Olympic gold medals is ________.
A. Gold
B. Silver
C. Copper
D. Bronze
Answer: B.
Q. 45 The Gol Gumbad (Gumbaz) of ________ is the mausoleum of Muhammad Adil Shah.
A. Bijapur
B. Allahabad
C. Delhi
D. Agra
Answer: A.
Q. 46 Private ownership of the means of production is a feature of a _______ economy.
A. dual
B. mixed
C. socialist
D. capitalist
Answer: D.
Q. 47 Xerophthalmia is caused due to the deficiency of vitamin ________.
A. D
B. C
C. A
D. K
Answer: C.
Q. 48 The Biraja Temple, the Rajarani Temple and the Samaleswari Temple are all located in ________.
A. Kerala
B. Assam
C. Odisha
D. Tamil Nadu
Answer: C.
Q. 49 Which Article of the Indian Constitution prohibits discrimination on the grounds of religion, race, caste, sex and place of birth?
A. Article 19
B. Article 23
C. Article 25
D. Article 15
Answer: D.
Q. 50 Asia’s largest wholesale spice market is located in _______.
A. Bengaluru
B. Ahmedabad
C. Kolkata
D. Delhi
Answer: D.
Quantitative Aptitude
Instructions
For the following questions answer them individually
Q. 51 In △ABC, ∠A = 90∘, M is the midpoint of BC and D is a point on BC such that AD ⊥ BC. If AB = 7 cm and AC = 24cm, then AD : AM is equal to:
A. 32 : 43
B. 24 : 25
C. 336 : 625
D. 168 : 275
Answer: C.
Explanation:
By triplet 7-24-25,
BC = 25 cm
M is the midpoint of BC so,
BM = BC /2
BM = 25/2 = 12.5 cm
By property,
AM = BM = 12.5 cm
AD ⊥ BC so,
BC × AD = AC × AB
25 ×AD = 7 × 24
AD = 168/25 = 6.72
AD : AM = 6.72 : 12.5 = 336 : 625
Q. 52 On simplification, is equal to:
A. 4
B. 1
C. ½
D. ¼
Answer: A.
Explanation:
Q. 53 If 5x + 1/3x = 4, then what is the value of 9x2 + 1/25x2?
A. 174/125
B. 119/25
C. 144/125
D. 114/25
Answer: D.
Explanation:
Q. 54 The given table represents the number of computers sold by four dealers A, B, C and D during the first six months of 2016. Study the table carefully and answer the question that follows.
The total number of computers sold by dealer A. during February to June is what percentage more than the total number of computers sold by all the dealers in June? (Correct to one decimal place)
A. 25.3
B. 21.2
C. 24.4
D. 17.5
Answer: B.
Explanation:
The total number of computers sold by dealer A. during February to June = 94 + 85 + 108 + 98 + 95 = 480 Total number of computers sold by all the dealers in June = 95 + 108 + 102 + 91 = 396
Required percentage (480−396)/396 × 100= 84/396 × 100= 21.2%
Q. 55 The average of twelve numbers is 45.5. The average of the first four numbers is 41.5 and that of the next five numbers is 48. The 10th number is 4 more than the 11th number and 9 more than the 12th number. What is the average of the 10th and 11th numbers?
A. 47
B. 47.8
C. 46
D. 46.6
Answer: D.
Explanation:
The average of 12 numbers = 45.5
Sum of 12 numbers = average × numbers = 45.5 × 12= 546
The average of the first four numbers = 41.5
Sum of first four numbers = 41.5×4 = 166
The average of next five numbers = 48
Sum of next five numbers = 48×5 = 240
Sum of the first 9 numbers = sum of first four numbers + sum of next five numbers = 166 + 240 = 406 10th number = 4 + 11th number —(1)
10th number = 9 + 12th number —(2)
Sum of the first 9 numbers +10th number + 11th number + 12th number = 546 406 + 10th number + 10th number – 4 + 10th number – 9 = 546
3×10th number = 546 – 406 + 4 + 9
3×10th number = 153
10th number = 51
From eq(1),
11th number = 10th number – 4 = 51 – 4 = 47
12th number = 10th number – 9 = 51 – 9 = 42
The average of the 10th and 12th numbers ={51 + 47 + 42}/{3} = 140/3 = 46.6
Q. 56 The value of (tan 300 cosec 600 +tan 600 sec 300 ) / (sin2 300 +4 cot2 450 −sec2 600) is:
A. 2/3
B. 32/99
C. 8/3
D. 32/3
Answer: D.
Explanation:
Q. 57 Sonu saves 15% of her income. If her income increases by 20% and she still saves the same amount as before, then what is the percentage increase in her expenditure? (correct to one decimal place)
A. 23.5
B. 22.8
C. 23.8
D. 242
Answer: A.
Explanation:
Let the initial income of Sonu be Rs.100.
saving = 15%
Expenditure = 100 – 15 = 85%
Saving = 100 -85 = Rs.15
Expenditure = 85% of 100 = Rs.85
Income after increment = 100 ×120/100= Rs.120
Saving = 15
Expenditure = 120 – 15 = 105
Increment in expenditure = 105 – 85 = Rs.20
Percentage Increment in expenditure =20/85×100 = 23.52%
Q. 58 When 732 is divided by a positive integer x, the remainder is 12. How many values of x are there?
A. 19
B. 18
C. 20
D. 16
Answer: C.
Explanation:
Number which fully divide by a positive integer x = number – remainder = 732 -12 = 720
720 is fully divide by positive integer x.
Factor of 720 = 1×2×3×4×5×6
Total factor = (4 + 1).(2 + 1).(1 + 1) = 5.3.2 = 30
We combine these factors which are more than 12 and maximum 720 because the remainder is 12. Combination lees than 13 = 1, 2, 3, 4, 5, 6, 8, 9, 10, 12
Number of combination lees than 13 = 10
Number of values of x = 30 – 10 = 20
Q. 59 The circumference of the base of a conical tent is 66 m.If the height of the tent is 36 m, what is the area (in m2 ) of the canvas used in making the tent?(Take π = 22/7 )
A. 1237.5
B. 1171.5
C. 1254
D. 1155
Answer: A.
Explanation:
The circumference of the base of a conical tent = 66 m
2πr = 66
r =(66×7)/(2×22) = 21/2 m
h = 36 m
l =√(r2+h2)
l =√((21/2)2+362) = √(441/4+1296) = 75/2=37.5
Area of canvas = πrl= 22/7×21/2×37.5=1237.5 sqm
Q. 60 If a + b + c = 11, ab + bc + ca = 3 and abc = —135, then what is the value of a3 + b3 + c3 ?
A. 827
B. 929
C. 823
D. 925
Answer: A.
Explanation:
a3 + b3 + c3
=> (a + b + c)[(a + b + c)2 − 3(ab + bc + ac)] + 3abc
=> (11)[(11)2 − 3(3)] + 3 × (−135)
=>(11)[112] − 405
=> 1132 – 405 = 827
Q. 61 In △ABC, AB = AC. A circle drawn through B touches AC at D and intersect AB at P. If D is the mid point of AC and AP 2.5 cm, then AB is equal to:
A. 9 cm
B. 10 cm
C. 7.5 cm
D. 12.5 cm
Answer: B.
Explanation:
Given D is midpoint of AC so,
AD= AC/2
But also given AC = AB
AD= AB/2 = —-(1)
AD is a tangent and APB is a secant. So the tangent secant theorem can be applied, AD2 = AP × AB
(AB/2 )2 = 2.5 × AB
AB2/4 = 2.5 × AB
AB = 10 cm
Q. 62 If 5 sin2 θ + 14 cos θ = 13,0∘ < θ < 90∘, then what is the value of (sec θ+cot θ)/(cosec θ+tan θ)?
A. 40/29
B. 32/27
C. 21/28
D. 9/8
Answer : A.
Explanation:
5 sin2 θ +14 cos θ = 13
5 (1-cos2 θ) +14 cos θ = 13
−5cos2θ + 14 cos θ = 8
5cos2θ − 10 cos θ − 4 cos θ + 8 = 0
5cosθ(cos θ − 2) − 4 (cos θ − 2) = 0
(5cosθ − 4)(cos θ − 2) = 0
(cos θ − 2) (it is not possible)
For 0∘ < θ < 90∘
(5cosθ − 4) = 0
cosθ = ⅘
by triplet 3-4-5,
sin θ = ⅗
Now
Q. 63 The value of 
A. 8 ½
B. 24
C. 25 ½
D. 26
Answer: C.
Explanation:
Q. 64 If 2x + 1, x + 2, 2 and 5 are in proportion, then what is the mean proportional between 3.5(1 – x) and 8(1 + x)?
A. 5.5
B. 5.25
C. 4.25
D. 4.5
Answer: B.
Explanation:
2x + 1, x + 2, 2 and 5 are in proportion. So,
(2x+1)/(x+2) =2/5
(2x + 1) ×5 = (x + 2) × 2
10x + 5 = 2x + 4
8x = -1
x = -1/8
Mean proportional between 3.5(1 – x) and 8(1 + x)
Numbers = 3.5(1 + 1/8) and 8(1 -1/8) = 31.5/8 and 7
Mean proportional =√(31.5/8 × 7) =√27.5625 = 5.25
Q. 65 ABCD is a cyclic quadrilateral in which AB = 16.5 cm, BC = x cm, CD = 11 cm, AD = 19.8 cm, and BD is bisected by AC at O. What is the value of x ?
A. 12.8 cm
B. 12.4 cm
C. 13.2 cm
D. 13.8 cm
Answer: C.
Explanation:
ABCD is a cyclic quadrilateral in which AB = 16.5 cm
BC = x cm
CD = 11 cm
AD = 19.8 cm
By the property,
AB⋅BC = AD⋅DC
16.5 × x = 19.8 × 11
16.5 × x = 217.8
x = 217.8/16.5 = 13.2 cm
Q. 66 In △ABC, ∠B = 68∘ and ∠C = 32∘. Sides AB and AC are produced to points D and E, respectively. The bisectors of ∠DBC and ∠BCE meet at F. What is the measure of ∠BFC?
A. 39∘
B. 65∘
C. 55∘
D. 50∘
Answer: D.
Explanation:
From the angle bisector property,
∠BFC = 90° − ∠A/2
In △ABC ,
∠A + ∠B + ∠C = 180°
∠A = 180° − 32° − 68° = 80°
∠BFC = 90° − 80°/2
∠BFC = 50°
Q. 67 A trader allows a discount of 18% on the marked price of an article. How much percentage above the cost price must he mark it so as to get a profit of 6.6%?
A. 30
B. 24
C. 28
D. 25
Answer: A.
Explanation:
Let the cost price be Rs.100.
Profit = 6.6% = 6.6
Selling price = 100 + 6.6 = Rs.106.6
Discount = 18%
Let the marked price be 100%
Selling price = 100 – 18 = 82%
106.6 = 82%
100%(marked price) =106.6/82 × 100 = 130
Percentage above the cost price must he mark =(130−100)/100 ×100 = 30%
Q. 68 The given table represents the number of computers sold by four dealers A, B, C and D during the first six months of 2016. Study the table carefully and answer the question that follows.
The total number of computers sold by dealer B. in April, May and June is what percentage of the total number of computers sold by all the dealers in February and April?
A. 48 5/7
B. 43 6/7
C. 38 3/8
D. 50 7/8
Answer: C.
Explanation:
The total number of computers sold by dealer B. in April, May and June = 97 + 102 + 108 = 307
The total number of computers sold by all the dealers in February and April = 94 + 96 + 104 + 106 + 108 + 97 + 99 + 96 = 800
Required percentage =307/800×100=38 3/8%
Q. 69 A boat can go 3 km upstream and 5 km downstream in 55 minutes. It can also go 4 km upstream and 9 km downstream in 1 hour 25 minutes. In how much time(in hours) will it go 43.2 km downstream?
A. 3.6
B. 4.4
C. 5.4
D. 4.8
Answer: A.
Explanation:
Let the speed of stream be u and speed of boat be v.
Speed in upstream = v – u
Speed in downstream = v + u
A boat can go 3 km upstream and 5 km downstream in 55 minutes so,
3/(v−u) + 5/(v+u) =1+ 25/60
Boat can go 4 km upstream and 9 km downstream in 1 hour 25 minutes
4/(v−u) + 9/(v+u) =55/60
4/(v−u) + 9/(v+u) =85/60
1/(v−u) = x
1/(v+u) = y
3x + 5y = 11/12 ………….(1)
4x + 9y = 17/12 …………(2)
eq(1) multiply by 4 and eq(2) multiply by 3,
12x + 20y = 44/12 ………….(3)
12x + 27y = 51/12 …………(4)
From eq (3) and (4),
7y =7/12
y=1/12
From eq(1),
3x + 5(1/12) = 11/12
3x = 6/12
x = ⅙
1/(v−u) = ⅙
v-u = 6 ………….(5)
1/(v+u) = 1/12
v+u = 12 ………….(6)
Speed in downstream = u + v = 12 km/hr
Time taken by boat = 43.6/12 = 3.63 hr
Q. 70 What is the compound interest on a sum of ₹12,000 for 2⅝ years at 8% p.a., when the interest is compounded annually? (nearest to a rupee)
A. ₹2,642
B. ₹2,697
C. ₹2,712
D. ₹2,654
Answer: B.
Explanation:
Time =2⅝ years = 2 + ⅝years
We find the interest for the first 5/8 year by simple interest
Simple interest =prt /100
p = 12000
r = 8%
Simple interest =(12000×8×⅝ )/100 = 600
Now,
p = 12000 + 600 = 12600
Compound interest = p(1 + r/100)t − p
= 12600 (1 + 8/100)2− 12600
=12600 × 108/100 ×108/100 – 12600
= 14696.64 – 12600 = 2096.64 ≈ Rs.2097
Total interest = 2097 + 600 = Rs.2697
Q. 71 If sec θ − tan θ = x/y (0 < x <y) and 0∘ < θ < 90∘, then sin θ is equal to:
A. (x2 +y2) / (y2 −x2)
B. (x2 +y2) / 2xy
C. (y2 −x2) / (x2 +y2)
D. 2xy / (x2 +y2)
Answer: C.
Explanation:
sec θ − tan θ = x/y —(1)
1/(sec θ − tan θ) = y/x
sec2 θ − tan2 θ/(sec θ − tan θ) = y/x
(sec θ − tan θ)(sec θ + tan θ)/(sec θ − tan θ) = y/x
(sec θ + tan θ) = y/x —(2)
From eq(1) and (2),
(sec θ – tan θ)+(sec θ + tan θ) = x/y + y/x
2 sec θ = (x2+y2)/ xy
sec θ = x2+y2 / 2xy
cos θ = 2xy / x2+y2
Base = 2xy
Hypotenuses = {x2 + y2}
By Pythagoras,
(p)2 + (2xy)2 = (x2 + y2 )2
(p)2 = x4 + y4 + 2x2y2 – 4x2y2
(p)2 = x4 + y4 – 2x2y2
(p)2 = (x2 – y2)2
p = x2 – y2 = y2– x2
sin θ = p/h =(y2– x2)/(x2 + y2)
Q. 72 A person buys 5 tables and 9 chairs for ₹15,400. Hesells the tables at 10% profit and chairs at 20% profit. If his total profit on selling all the tables and chairs is ₹2,080, what is the cost price of 3 chairs?
A. ₹1,800
B. ₹1,740
C. ₹1,860
D. ₹1,890
Answer: A.
Explanation:
Let the price of 9 chairs be x.
Price of 5 tables = 15400 – x
He sells the tables at 10% profit and chairs at 20% profit.
Total profit = 2080
(15400 – x) (10/100) + x(20/100) = 2080
15400 – x + 2x = 20800
x = 5400
Price of 9 chairs = 5400
Price of 3 chairs = 5400/3 = Rs.1800
Instructions
The given table represents the number of computers sold by four dealers A, B, C and D during the first six months of 2016. Study the table carefully and answer the question that follows.
Q. 73 The number of months, in which the number of computers sold by dealer B. was less than the average number of computers sold by dealer C. over six months, was:
A. 4
B. 3
C. 5
D. 2
Answer: A.
Explanation:
Average number of computers sold by dealer C over six months = total number of computer/6 =(95+104+100+99+100+102)/6 = 600/6 =100
The number of months, in which the number of computers sold by dealer B was less than the average number of computers sold by dealer C over six months, was 4(January, feb, march, April)
Q. 74 What is the ratio of the total number of computers sold by dealer A. in February, April and May to the total number of computers sold by dealer D. in March, May and June?
A. 10 : 9
B. 6 : 5
C. 15 : 13
D. 20 : 27
Answer: A.
Explanation:
The total number of computers sold by dealer A. in February, April and May = 94 + 108 + 98 = 300
The total number of computers sold by dealer D. in March, May and June = 90 + 89 + 91 = 270
Ratio of the total number of computers sold by dealer A. in February, April and May to the total number of computers sold by dealer D. in March, May and June = 300 : 270
= 10 : 9
Instructions
For the following questions answer them individually
Q. 75 A can complete a certain work in 30 days. B. is 25% more efficient than A and C is 20% more efficient than B They all worked together for 3 days. B alone will complete the remaining work in:
A. 18 days
B. 12 days
C. 20 days
D. 15 days
Answer: D.
Explanation:
Let the efficiency of A. be x.
Efficiency of B. = 25% more efficient than A = 1.25x
Efficiency of C = 20% more efficient than B = 1.25x × 120/100= 1.5x
Efficiency ratio of A, B and C = x: 1.25x : 1.5x = 4 : 5 : 6
Total work = efficiency×time = 4×30 = 120 units
3 days work = (4 + 5 + 6)×3 =15× 3 = 45 units
Remaining work = 120 – 45 = 75 units
Time taken to complete work by B. = 75/5 = 15 days
English Comprehension
Instructions
For the following questions answer them individually
Q. 76 Select the correct active form of the given sentence.
This beautiful story was written by Maya.
A. Maya was writing this beautiful story.
B. Maya writes this beautiful story.
C. Maya is writing this beautiful story.
D. Maya wrote this beautiful story.
Answer: D.
Q. 77 Select the wrongly spelt word.
A. Compromise
B. Consumation
C. Competence
D. Chronology
Answer: B.
Q. 78 Select the most appropriate meaning of the given idiom.
Back to square one
A. Draw a square
B. Neglect something
C. Move ahead
D. Come to the original point
Answer: D.
Q. 79 Select the wrongly spelt word.
A. Turmoil
B. Tresure
C. Truthful
D. Tamarind
Answer: B.
Q. 80 Select the antonym of the given word.
LIBERTY
A. Independence
B. Deliverance
C. Convenience
D. Dependence
Answer: D.
Q. 81 Select the most appropriate word to substitute the underlined word of the given sentence. If substitution is not required select ‘No improvement’.
To fight on the battlefield for the sake of one’s country needs a great strongness.
A. the greatest strongness
B. a lots of strength
C. No improvement
D. great courage
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:
‘A stitch in time saves nine’. This wise saying suggests that an (1)______ action taken on time to rectify an error rules (2)______ the possibility of accumulation of such errors and future (3)______ . Wisdom therefore lies in correcting the error as soon as it is (4)______. There is no point-in allowing the (5)______ to grow and then take hasty actions to set things right.
Q. 82 Select the most appropriate option for blank no. 1
A. superficial
B. wrong
C. appropriate
D. opposite
Answer: C.
Q. 83 Select the most appropriate option for blank no. 2
A. in
B. at
C. out
D. for
Answer: C.
Q. 84 Select the most appropriate option for blank no. 3
A. qualities
B. facilities
C. damages
D. advantages
Answer: C.
Q. 85 Select the most appropriate option for blank no. 4
A. discovered
B. managed
C. proposed
D. invented
Answer: A.
Q. 86 Select the most appropriate option for blank no. 5
A. parody
B. remedy
C. malady
D. melody
Answer: C.
Instructions
For the following questions answer them individually
Q. 87 Select one word for the following group of words.
Open refusal to obey orders
A. Defiance
B. Compliance
C. Obedience
D. Adherence
Answer: A.
Q. 88 Select the synonym of the given word.
PREVENT
A. Construct
B. Provoke
C. Allow
D. Avert
Answer: D.
Q. 89 Select one word for the following group of words.
Morals that govern one’s behavior
A. Intuition
B. Attitude
C. Psychology
D. Ethics
Answer: D.
Q. 90 Select the antonym of the given word.
BROAD
A. Long
B. Narrow
C. Wide
D. Large
Answer: B.
Instructions
Given below are four jumbled sentences. Out of the given options pick the one that gives their correct order.
Q. 91
A. Eventually, she overcame adversities and achieved success.
B. She engaged herself in ‘earn while you learn’, finance scheme in her college.
C. She needed financial support to complete her graduation.
D. Rama was a very poor girl.
A. ADCB
B. ABCD
C. DCBA
D. CBDA
Answer: C.
Q. 92
A. “We are going to the market,” declared Reetu and Geetu.
B. “Where are you going?” the father asked.
C. “Take your umbrella, it is going to rain,” the mother said.
D. “Yes, definitely. We will,” replied the two.
A. ABDC.
B. DCAB.
C. BCDA.
D. BACD.
Answer: D.
Instructions
For the following questions answer them individually
Q. 93 In the sentence identify the segment which contains the grammatical error. The boy which stole the money was caught by the police.
A. was caught
B. stole the money
C. by the police
D. The boy which
Answer: D.
Q. 94 Select the most appropriate meaning of the given idiom.
Dead heat
A. A. strong heat wave
B. Strong opposition to one’s ideas
C. A deadly blast of hot air
D. Close contest that ends in a tie
Answer: D.
Q. 95 In the sentence identify the segment which contains the grammatical error.
Saraswati college has maintained its reputation as one of the best colleges in the country.
A. Saraswati college has maintained
B. one of the best college
C. in the country
D. its reputation as
Answer: B.
Q. 96 Select the most appropriate word to fill in the blank.
She ______ on paying the bill at the restaurant.
A. offered
B. suggested
C. insisted
D. requested
Answer: C.
Q. 97 Select the most appropriate segment to substitute the underlined segment of the given sentence. If substitution is not required select ‘no improvement’.
The animal resembled with a cat.
A. No improvement
B. resembled by
C. resembled
D. resembled to
Answer: C.
Q. 98 Select the most appropriate word to fill in the blank.
The groom stood before the ______ for the wedding ceremony at the church.
A. alter
B. atlas
C. altar
D. attic
Answer: C.
Q. 99 Select the correct direct form of the given sentence.
The teacher commanded the students not to shout.
A. The teacher said to the student, “You should not shout.”
B. The teacher told to the students, “You must not shout.”
C. The teacher said to the students, “Don’t shout.”
D. The teacher says to the students, “Do not shout.”
Answer: C
Q. 100 Select the synonym of the given word.
REVERE
A. Repeat
B. Respect
C. Condemn
D. Enjoy
Answer: B.
