SSC CGL Previous Paper (Held On: 6 June 2019 Shift 2) (Previous Year Paper)

Ratio of 28 : 63 is $\frac{4}{9}$

Similarly,

Ration of 16 : 36 is $\frac{4}{9}$

Hence answer is 16 : 36.

1. Doctors can be Salaried person and also Parents.

2. Parents can be Salaried person and also a Doctor.

3. Salaried person can be a Doctor and also a Parent.

The final arrangement is:

Hence, Option 2 is the correct answer.

Pattern followed is :

POSTER → 592314, P = 5, O = 9, S = 2, T = 3, E = 1, R = 4.

DARK → 8647, D = 8, A = 6, R = 4, K = 7

S = 2, T = 3, R = 4, O = 9, K = 7, E = 1.

Hence For STROKE → 234971

Interchanging + and ÷

12 - 6 + 12 × 6 ÷ 6 = 12 - 6 + 12 × 1

6 + 12 ≠ 9

Interchanging × and +

$12 - 6 \div 12 + 6 \times 6 = 12 - \frac{6}{{12}} + 36$

$48 - \frac{1}{2} \ne 9$

Interchanging – and +

$12 + 6 \div 12 \times 6 - 6 = 12 + \frac{6}{{12}} \times 6 - 6$

12 + 3 - 6 = 9

Interchanging ÷ and ×

12 - 6 × 12 ÷ 6 + 6 = 12 - 6 × 2 + 6

12 - 12 + 6 ≠ 9

Hence by interchanging – and + we get correct equation.

Dumbness is not communicating vocally (not using Speech)

Similarly,

Amnesia is referred when a person losses memory.

Happy and glad are synonyms.

Similarly, sad and gloomy are synonyms.

Hence, gloomy is the correct answer.

Hence total triangles are 15.

Logical sequence is:

Writing – Editing – Printing – Publishing – Distributing

Hence 1, 5, 4, 3, 2 is correct sequence.

2^nd term = 1^st term + $\frac{{1st;term;}}{3}$

3^rd term = (1^st term × 2) + $\frac{{1st;term;}}{3}$

(12, 16, 28) → 12 + $\frac{{12}}{3}$ = 16 and 12 × 2 + 4 = 28

(20, 25, 35) → 20 + $\frac{{20}}{3}$ ≠ 25

(9, 15, 21) → 9 + $\frac{9}{3}$ ≠ 15

(18, 24, 42) → 18 + $\frac{{18}}{3} = 24$ and 18 × 2 + $\frac{{18}}{3} = 42$

(36, 48, 77) → 36 + $\frac{{36}}{3} = 48$ and 36 × 2 + $\frac{{36}}{3}$ ≠ 77

Hence (18, 24, 42) is correct answer.

Question set is (12, 16, 28) the simple ratio is (3, 4, 7)

(20, 25, 35) the simple ratio is (4, 5, 7)

(9, 15, 21) the simple ratio is (3, 5, 7)

(18, 24, 42) the simple ratio is (3, 4, 7)

(36, 48, 77) the simple ratio is (36, 48, 77)

Let amount received by 1 boy = X

Then amount received by 1 man = 1.5 X

And amount received by 1 woman = 2.5 X

Total amount = (12 × X + 6 × 1.5X + 8 × 2.5X ) = (12X + 9X + 20X)

(12X + 9X + 20X) = 820

41X = 820

X = 20

Amount received by 1 woman = 20 × 2.5 = 50

Amount received by 8 women’s = 50 × 8 = 400.

Hence 400 is correct answer.

Hence option 2) is correct answer.

Hence option 4 is correct answer.

Tree diagram:

Hence A is uncle of D.

Pattern followed is :

J – 2 = H

K + 1 = L

L – 1 = K

M + 2 = O

Similarly,

P – 2 = N

Q + 1 = R

R – 1 = Q

S + 2 = U

Hence NRQU is answer.

Pattern followed is:

341, 209 and 154 are divisible by 11 but 166 is not.

Hence 166 is odd among them.

By looking at diagram we see that there are two symbols between two given arrows.

Only option 3 fulfils this pattern.

Hence, option 3 is the correct answer.

Cucumber is a vegetable but except that all three are fruits.

Hence Cucumber is odd one out.

Some students are athletes → False

Some players are students → True

No students is an athlete → False

Conclusion I and III are complimentary.

Hence Only conclusion II and either conclusion I or III follow.

Pattern followed is:

Here d c b a b c is repeating term.

d c b a b c d c b a b c d c b a b c is complete series.

Hence b d a c b will complete the series.

Here 1 + 3 = 4

3 + 4 = 7

4 + 7 = 11

7 + 11 = 18

18 is added to 28 for final answer.

Hence answer is 46.

Pattern followed is:

2^nd term = 1^st term + 7

3^rd term = 2^nd term + 9

15 + 7 = 22, and 22 + 9 = 31

(23, 30, 40) → 23 + 7 = 30 and 30 + 9 ≠ 40

(7, 14, 23) → 7 + 7 = 14 and 14 + 9 = 23

(11, 18, 29) → 11 + 7 = 18 and 18 + 9 ≠ 29

(5, 11, 20) → 5 + 7 ≠ 11

Hence (7, 14, 23) is answer.

If we rotate 1^st cube to get 3 on the front face and 2 on the bottom face.

1, 6 are adjacent to 3 in 1^st cube and 2, 4 are adjacent to 3 in 2^nd cube.

6 is at top and 2 is on the bottom if we rotate the cube.

So 1 and 4 will be opposite to each other

Hence 4 will be on top when 1 is at the bottom.

Pattern followed is:

Hence ANPLVNSN is correct answer.

Pattern followed is:

ZOOM has 2 vowels while all others have only one vowel.

Hence ZOOM is correct answer.

• Inflation: It is a sustained rise in the general price level in an economy.
• Stagflation: A situation in which the inflation rate is high, the economic growth rate slows down, and unemployment remains steadily high.
• Deflation: It is a persistent fall in the general price level of goods and services.
• Disinflation: It is decrease in the rate of inflation.

• Working principle of TV remote is based on ​Infrared waves, as a medium of communication.
• The wavelength of infrared waves ranges from 700 nm to 1 mm.
• The inventor of TV remote control: Eugene Polley.

• Justice Pinaki Chandra Ghose was appointed as India's first Lokpal.
• He was former Supreme Court judge and former member of the National Human Rights Commission (NHRC).
• Post of Lokpal was created by Lokpal Act,2013.

• Poush Mela displays local artisans displaying folk dances, music, food and culture of West Bengal.
• It is an annual festival which takes place in Shantiniketan in Birbhum District of West Bengal.
• Governor: C. V. Ananda Bose
• Chief Minister: Mamata Banerjee
• Capital**: Kolkata**

• The founder of the Tughlaq dynasty was Ghiyasuddin Tughlaq.
• Ghiyasuddin Balban, who was also known as Ulugh Khan, served as Naib or regent to Sultan Nasiruddin Mahmud.
• Iltutmish belonged to the Ilbari tribe and hence his dynasty was named as Ilbari dynasty.
• The founder of the Khalji dynasty was Jalaluddin Khalji.

• Pramod Sawant became Chief Minister of Goa in March 2019.
• The post of Chief Minister was vacant due to the death of former Chief Minister Manohar Parikar.
• Governor of Goa: P.S. Sreedharan Pillai
• Capital of Goa: Panaji

Lhasa is major city of Tibet Autonomous Region. It is connected to Tawang, Arunachal Pradesh with Bum La Pass.

Option 3 is the correct answer.

• The invasion of Delhi by Timur in 1398 A.D marked the end of the Tughlaq empire.
• Timur withdrew from India in 1399 and his invasion delivered a death blow to the Tughlaq dynasty.
• The founder of the Tughlaq dynasty was Ghiyasuddin Tughlaq.

Banihal Pass is known as the gateway connecting Jammu and Srinagar.

• Deepak Singh won Gold medal at the Makran Cup Boxing Tournament in Iran.
• Deepak Singh defeated Jaafar Naseri in the finals.
• P Lalitha Prasad (52kg), Manish Kaushik (60kg), Duryodhan Singh Negi (69kg), Sanjeet (91kg) and Satish Kumar (+91kg) were other silver medalist.

• Rust needs three components to occur, i.e., Iron, oxygen and moisture.
• The reaction for rusting can be given as follows:
• Iron (Fe) + Oxygen (O₂) + water (H₂O) → Rust (Iron oxide Fe₂O₃)
• If the moisture content in the air is high, rusting becomes faster.

• Indian Statistical Institute was founded by Professor P.C. Mahalanobis on 17th December 1931.
• Headquarters: Kolkata.
• Indian Statistical Institute has the status of an Institution of National Importance. This status was given by an act of the Indian Parliament in 1959.
• Statistics, natural sciences and social sciences are main areas of research.

• Article 39-A included in Part 4 of the Indian Constitution.
• It provides an idea of equal justice and free legal aid for all citizens.
• Part 4 of the Indian Constitution deals with the Directive Principles of State Policy.

Additional Information about other articles is provided in the following table: 

• Majuli is the largest river island in the world. It is located in Assam.
• It is situated in Bhramhaputra river.
• It was made first island district in the year 2016.
• Capital: Dispur

• World Immunization Week was observed nationwide from 24th to 30th April 2019.
• The theme of the 2019 World Immunization Week is 'Vaccines work: We are protected together'.

Additional information about other options:

• Government of India nominated a member of NITI Aayog, Ramesh Chand to head the Food and Agriculture Organisation (FAO) in March 2019.
• Headquarters of Food and Agricultural Organisation (FAO): Rome, Italy

Information about Ramesh Chand:

Timur appointed Khizr Khan as governor of Multan. He captured Delhi and founded the Sayyid dynasty in the year 1414.

Key Points

Additional information about other rulers:

• Kala Bhavana is located in Birbhum district of West Bengal.
• It was established by Nobel laureate Rabindranath Tagore.

Additional information about Kala Bhavana:

• Ajit Kumar Mohanty was appointed as the director of Bhabha Atomic Research Centre (BARC) for a period of three years.
• He is a well-known nuclear physicist. He obtained Ph.D degree from Bombay University.
• Dr Homi Bhabha established the Atomic Energy Establishment, Trombay (AEET) in January 1954.
• In 1966, Atomic Energy Establishment, Trombay was renamed Bhabha Atomic Research Centre (BARC).

The correct answer is Rohtang Pass.

• Rohtang Pass in Himachal Pradesh is a famous tourist attraction.
• Himachal Pradesh is located in the Northen part of India.
• Chief Minister of Himachal Pradesh:  Sukhvinder Singh Sukhu
• Governor of Himachal Pradesh:  Shiv Pratap shukla
• Capital: Shimla

Additional Information

• The government of India appointed P V Ramesh as the director-general of the National Archives of India on March 2019.
• Dr P.V. Ramesh: Andhra Pradesh Cadre-1985 batch IAS officer
• Director-General of Archives: Shri Chandan Sinha (As on 10 December 2021 )
• Headquarters of National Archives of India : New Delhi

• Afghanistan created history in its second Twenty-20 International against Ireland by achieving the highest-ever T20 total at the Rajiv Gandhi International Cricket Stadium in Dehradun, Uttarakhand.
• Afghanistan scored 278 runs in 20 overs.
• Captain of Afghanistan Test Cricket team: Rahmat Shah
• ODI captain: Gulbadin Naib
• T20 captain: Rashid Khan

Using the following formula∶ x + y + xy/100 = Effective change

⇒ x – 20 – [20x/100] = 60

⇒ x – [x/5] = 80

⇒ x = 100%

⇒ 16 ÷ 4 of 4 × [3 ÷ 4 of {4 × 3 ÷ (3 + 3)}] ÷ (2 ÷ 4 of 8)

⇒ 16 ÷ 16 × [3 ÷ 4 of {4 × 3 ÷ 6}] ÷ (2 ÷ 32)

⇒ 16 ÷ 16 × [3 ÷ 4 of {4 × 1/2}] ÷ 1/16

⇒ 16 ÷ 16 × [3 ÷ 8] ÷ 1/16

⇒ 16 ÷ 16 × 3/8 ÷ 1/16

⇒ 16 × 1/16 × 3/8 × 16/1

⇒ 1 × 3 × 2 = 6

Efficiency of A, B and C are in the ratio 5 : 3 : 8

Total work = (5 + 3 + 8) × 30 = 480

⇒ Total work completed by A and B in 20 days = (5 + 3) × 20 = 160

⇒ Remain work = 480 – 160 = 320

⇒ C will complete the remain work = 320/8 = 40 days

Shortcut Trick

Given: sin θ = 4 cos θ ⇒ tan θ = 4/1

Consider a right-angled triangle where Perpendicular (P) = 4 and Base (B) = 1.

Hypotenuse (H) = √(4² + 1²) = √17

sin θ cos θ = (P/H) × (B/H) = (4/√17) × (1/√17) = 4/17

∴ The correct answer is 4/17.

Alternate Method

Given: sin θ = 4 cos θ

Formula Used: tan θ = sin θ / cos θ; sin θ cos θ = tan θ / sec²θ; sec²θ = 1 + tan²θ

⇒ sin θ / cos θ = 4

⇒ tan θ = 4

⇒ sin θ cos θ = (sin θ / cos θ) × cos²θ

⇒ sin θ cos θ = tan θ × (1 / sec²θ)

⇒ sin θ cos θ = tan θ / (1 + tan²θ)

⇒ Substituting tan θ = 4: 4 / (1 + 4²)

⇒ 4 / (1 + 16) = 4/17

∴ The correct answer is 4/17.

Additional Information

Trigonometric Identities

Fundamental identity: sin²θ + cos²θ = 1. Also, sec²θ − tan²θ = 1 and cosec²θ − cot²θ = 1.

Double Angle Formula

sin 2θ = 2 sin θ cos θ = 2 tan θ / (1 + tan²θ). This shows sin θ cos θ is exactly half of the sin 2θ tan-formula.

As we know,

Volume of metallic pipe = π(R² – r²)h

⇒ 22/7 × (2.5² – 1.5²) × 7.56 × 100

⇒ 22/7 × 4 × 1 × 756

⇒ 9504 cm³

⇒ 1 cm³ of the metal weight = 7.5g

⇒ 9504 cm³ of the metal weight = (7.5 × 9504)/1000 = 71.28 kg

Given:

2x² + y² + 6x – 2xy + 9 = 0

Calculation:

2x2 + y2 + 6x – 2xy + 9 = 0

⇒ x² + 2 × 3 × x + 3²+ x² + y² - 2xy

⇒ (x + 3)² + (x – y)² = 0

⇒ x = -3 and x = y

⇒ x = y = -3

Now,

(4x³ – y³ + x² y²)

= 3x³ + x⁴

=3 × (-3)³ + (-3)⁴

= -81 + 81

= 0

∴ required value is 0.

Let the total number of goods be 100x.

According to the question

⇒ Selling price of 70% of goods = 100x × (7/10) × (7/5) = 98x

⇒ Selling price of 30% of goods = 100x × (3/10) × (7/5) × (3/5) = 25.2x

⇒ Total selling price of goods = 98x + 25.2x = 123.2x

∴ Profit Percentage = [(123.2x – 100x)/100] × 100 = 23.2%

Total production of all type of cars, except type B, in 2012 = 54 + 46 + 33 + 47 = 180

Total production of all type of cars in 2016 = 55 + 67 + 77 + 49 + 52 = 300

Required percentage = [(300 – 180)/300] × 100 = 40%

As we know,

⇒ ∠ORS = 90°      (Tangent to the circle)

∵ RQ bisects ∠ORS

⇒ ∠ORQ = ∠OQR = 45° [∵ OR = QO]

In ΔORQ

⇒ ∠ROQ = 180° – 90° = 90°

⇒ ∠RPQ = 1/2 × ∠ROQ = 1/2 × 90° = 45°

Total production of type D cars = 33 + 35 + 48 + 45 + 49 = 210 thousands

Production of type D cars in 2013 = 35 thousands

⇒ 210 thousands represents = 360°

⇒ 35 thousands will represent = [360°/210] × 35 = 60°

As we know, in a parallelogram opposite sides are equal and parallel and opposite angles are also equal.

Suppose ∠ACB = x and ∠AOB = y

∠ACB = ∠AOB      [opposite angle]

Reflex ∠AOB = 2x

∵ Angle subtended by an arc on its centre is twice the angle subtended on the circumference.

⇒ 2x + y = 360°

⇒ 2y + y = 360°      [∵ x = y(opposite angle)]

⇒ 3y = 360°

⇒ y = 120°

⇒ (x + y + z)² = x² + y² + z² + 2(xy + yz + zx)

⇒ (x + y + z)² = 133 + 2 × 114 = 361

⇒ x + y + z = 19

⇒ x³ + y³ + z³ – 3xyz = (x + y +z) {(x + y + z)² – 3(xy + yz + zx)}

⇒ x³ + y³ + z³ – 3 × 216 = 19[19² – 3 × 114]

⇒ x³ + y³ + z³ – 648 = 19 × 19 = 361

⇒ x³ + y³ + z³ = 361 + 648 = 1009

Shortcut Trick

Make the age difference equal: (9 − 8) × 2 → 16 : 18 and (21 − 19) × 1 → 19 : 21.

Ratio increase: 19 − 16 = 3 units, which corresponds to 9 years.

1 unit = 3 years. Present age of B = 18 × 3 = 54 years.

Present age of C = 54 − 3 = 51 years.

∴ The correct answer is 51 years.

Alternate Method

Given: Ratio of present ages A:B = 8:9. Ratio after 9 years = 19:21. C = B − 3.

Let present ages of A and B be 8x and 9x respectively.

⇒ (8x + 9) ÷ (9x + 9) = 19 ÷ 21

⇒ 21(8x + 9) = 19(9x + 9)

⇒ 168x + 189 = 171x + 171

⇒ 3x = 18

⇒ x = 6

⇒ Present age of B = 9 × 6 = 54 years.

⇒ Present age of C = 54 − 3 = 51 years.

∴ The correct answer is 51 years.

Additional Information

Concept of Age Difference

The numerical difference between the ages of two persons remains constant throughout their lives, regardless of the years passed.

Ratio Balancing Method

To solve age ratios quickly, multiply the ratios by the difference of the other ratio to make the parts corresponding to time equal.

Linear Equation in Ages

If the ratio is a:b, ages are ax and bx. After 'n' years, the new ratio is (ax + n)/(bx + n) = c/d.

Interest rate for 1 year = 14%

Interest rate for 5/7 years = 14% × [5/7] = 10%

According to the question

⇒ Amount = 10,000 × (114/100) × (114/100) × (110/100) = 14,295.6

⇒ Interest = 14,295.6 – 10,000= 4295.6 (4296 Approx)

Total production of type E cars in 2014 and type C cars in 2016 = 53 + 77 = 130

Total production of type B cars in 2014 and type D cars in 2013 = 56 + 35 = 91

∴ Required ratio = 130 : 91 = 10 : 7

Shortcut Trick

Rewrite the equation as cos²θ ÷ (cos²θ/sin²θ − cos²θ) = 3.

Simplify by dividing both numerator and denominator by cos²θ: 1 ÷ (1/sin²θ − 1) = 3.

⇒ 1 ÷ (cosec²θ − 1) = 3 ⇒ 1/cot²θ = 3 ⇒ tan²θ = 3.

⇒ tan θ = √3, which means θ = 60°.

Substitute θ = 60° in cot θ + cosec θ = 1/√3 + 2/√3 = 3/√3 = √3.

∴ The correct answer is √3.

Alternate Method

Given: cos²θ ÷ (cot²θ − cos²θ) = 3

Formula Used: cot θ = cos θ / sin θ and cosec²θ − cot²θ = 1

⇒ cos²θ ÷ (cos²θ/sin²θ − cos²θ) = 3

⇒ cos²θ ÷ [cos²θ (1/sin²θ − 1)] = 3

⇒ 1 ÷ (cosec²θ − 1) = 3

⇒ 1 ÷ cot²θ = 3 ⇒ tan²θ = 3

⇒ tan θ = √3 ⇒ θ = 60°

⇒ Value = cot 60° + cosec 60°

⇒ Value = (1/√3) + (2/√3) = 3/√3

⇒ Value = √3

∴ The correct answer is √3.

Additional Information

Trigonometric Identities

Standard identities: sin²θ + cos²θ = 1, 1 + tan²θ = sec²θ, and 1 + cot²θ = cosec²θ.

Reciprocal Relations

cosec θ = 1/sin θ, sec θ = 1/cos θ, and cot θ = 1/tan θ.

Specific Angles

For θ = 60°: sin 60° = √3/2, cos 60° = 1/2, tan 60° = √3, cot 60° = 1/√3, cosec 60° = 2/√3.

Shortcut Trick

Since both trains start at the same time, Distance is directly proportional to Speed (D ∝ S).

Ratio of speeds of Train X and Train Y = 40 : 60 = 2 : 3.

Total distance (800 km) is divided in the ratio 2 : 3.

Distance from Station A = [2 ÷ (2 + 3)] × 800 = (2/5) × 800 = 320 km.

∴ The correct answer is 320 km.

Alternate Method

Given:

Distance between Station A and B = 800 km

Speed of Train X = 40 km/h

Speed of Train Y = 60 km/h

Formula Used:

Relative Speed (Opposite direction) = S₁ + S₂

Time = Distance ÷ Speed

Calculations:

⇒ Relative Speed = 40 + 60 = 100 km/h

⇒ Time taken to meet = Total Distance ÷ Relative Speed

⇒ Time = 800 ÷ 100 = 8 hours

⇒ Distance from Station A = Speed of Train X × Time

⇒ Distance = 40 × 8 = 320 km

∴ The correct answer is 320 km.

Additional Information

Relative Speed Concept

When two objects move in opposite directions, relative speed is the sum (S₁ + S₂). When they move in the same direction, it is the difference (S₁ − S₂).

Constant Time Rule

If two objects start at the same time and meet, the ratio of distances covered is equal to the ratio of their speeds: D₁/D₂ = S₁/S₂.

Average Speed

For the same distance covered at different speeds S₁ and S₂, Average Speed = (2 × S₁ × S₂) ÷ (S₁ + S₂).

Shortcut Trick

In a parallelogram ABDC, a diagonal divides it into two congruent triangles. Thus, ΔABC ≅ ΔDCB and ΔABD ≅ ΔDCA.

However, ΔADC and ΔABD are not congruent unless the parallelogram is a rhombus (where all sides are equal).

Check symmetry: ΔAEB and ΔDFC are congruent by RHS as AE = DF (distance between parallels) and AB = DC (opposite sides).

Check small triangles: ΔAOE and ΔDOF are congruent by AAS as ∠AEO = ∠DFO = 90°, ∠AOE = ∠DOF (vertically opposite), and AO = DO (diagonals bisect).

∴ The correct answer is ΔADC ≅ ΔABD.

Alternate Method

Given: Parallelogram ABDC, diagonals AD and BC intersect at O. AE ⊥ BC and DF ⊥ BC.

Formula used: Congruence criteria (SSS, SAS, ASA, RHS).

⇒ In ΔABC and ΔDCB: AB = DC, AC = DB (Opp. sides), BC = BC (Common). ∴ ΔABC ≅ ΔDCB (Option 3 is True).

⇒ In ΔAEB and ΔDFC: ∠AEB = ∠DFC = 90°, AB = DC (Opp. sides), AE = DF (Height). ∴ ΔAEB ≅ ΔDFC by RHS (Option 4 is True).

⇒ In ΔAOE and ΔDOF: ∠AOE = ∠DOF (V.O.A), ∠AEO = ∠DFO = 90°, AO = DO (Diagonals bisect). ∴ ΔAOE ≅ ΔDOF by AAS (Option 2 is True).

⇒ In ΔADC and ΔABD: AD is common, AC = BD, but CD is not necessarily equal to AB in terms of relative position for this specific pair. Since ΔADC and ΔABD share the same base AD but have different heights relative to that base unless the parallelogram is a rectangle, they are not congruent.

∴ The correct answer is ΔADC ≅ ΔABD.

Additional Information

Parallelogram Properties

Opposite sides are equal and parallel; opposite angles are equal; diagonals bisect each other.

Area and Congruence

A diagonal divides a parallelogram into two congruent triangles. Triangles on the same base and between the same parallels are equal in area but not necessarily congruent.

RHS Congruence Rule

Two right-angled triangles are congruent if the hypotenuse and one side of one triangle are equal to the hypotenuse and the corresponding side of the other.

x + y = 12 and xy = 27

Put x = 9 and y = 3

⇒ x³ – y³

⇒ 729 – 27 = 702

9 digit number 32x4115y2 is divided by 88, so we can say number also divisible by 11 and 8 both

The smallest possible value of y for which 5y2 is divisible by 8 will be 1 as 512 is divisible by 8.

If y = 1, then the possible value of x for which 32x411512 is divisible by 11 will be 8.

Now, putting y = 1 and x = 8

⇒ 4x – y = 4 × 8 – 1 = 31

Average of 12 numbers = 46

⇒ Sum of all 12 numbers = 12 × 46 = 552

Average of the first 4 numbers = 43

⇒ Sum of first 4 numbers = 4 × 43 = 172

Average of the last five numbers = 49.4

∴ Sum of the last five numbers = 247

Let the 7^th number be x.

∴ 5^th number will be = x + 4

∴ 6^th number will be = x + 6

Sum of 5^th, 6^th and 7^th number = 552 – 172 – 247 = 133

According to the question

⇒ x + x + 4 + x + 6 = 133

⇒ x = 41

⇒ 7^th number = 41

⇒ 5^th number = x + 4 = 41 + 4 = 45

∴ Average of 7^th and 5^th number = (41 + 45)/2 = 43

Suppose AB = 6, BC = 8 and AC = 7

Point D bisect ∠A.

As we know

⇒ DC/BD = 7/6

⇒ (DC/BD) + 1 = (7/6) + 1

⇒ (DC + BD)/BD = 13/6

⇒ 8/BD = 13/6

⇒ BD = 48/13 cm

Let the cost of each article be 50x.

SP of the first article = 50x × [114/100]

SP of the second article = 50x × [86/100] = 43x

Ratio of CP and SP of the first article = 50x : 57x

Ratio of CP and SP of the second article = 50x : 43x

Multiply by 43 in equation (1) and multiply by 57 in equation (2)

New ratio of CP and SP of the first article = 2850x : 2451x

New ratio of CP and SP of the second article = 2150x : 2451x

According to the question

⇒ 2850x + 2150x = 624

⇒ 5000x = 624

⇒ 700x = [624/5000] × 700 = 87.36

Total production of type E cars in 2012 and 2013 = 47 + 43 = 90

total production of type A cars during the years 2012 to 2016 = 54 + 58 + 60 + 63 + 55 = 290

Average production of type A cars during the years 2012 to 2016 = 290/5 = 58

∴ Required percentage = [(90 - 58)/58] × 100 = 55.2% (Approx)

$\Rightarrow \frac{{\rm{c}}}{{1 + {\rm{sinx}}}} = \frac{{2{\rm{sinx}}}}{{1 + {\rm{sinx}} + {\rm{cosx;}}}}$

Put x = 90°, then sin90° = 1 and cos90° = 0

⇒ C/2 = 2/2

⇒ C = 2

Go through the options (2)

⇒ 1 + sinx – cosx

⇒ 1 + 1 – 0

⇒ 2 (Satisfied)

In the given sentence, the implied meaning is that the Head has been so busy that he or she hasn't been able to go through the files. 

The construction 'too busy to +action' means that a person is so busy that they are not able to perform a certain action. 

For example: Ever since she started her new job, she has been too busy to call her mother.

Option 1 represents the correct form of this construction and is therefore, the correct answer.

The correct preposition to be used here should be 'in'. This is because it is the only preposition that accurately refers to a duration of time i.e. during the earlier wars.

'At' refers to a specific time, while 'on' refers to a specific day.

'Into' refers to a form of movement, and hence cannot be correct.

Hence, option 1 is correct.

Here are the meanings of the given words:

• Bound - extremely likely to happen
• Confined - limited
• Belonged -  was in the right place or a suitable place
• Attained - reached or succeeded in getting something

The context around the given blank is about how the civilian population would not participate in wars and therefore, casualties would only be limited to the armies.

Out of these given options, the only word to fit this context is 'confined'. 

Hence, the correct answer is option 2.

The first sentence of a passage must introduce the topic of the passage and stand independent in meaning. 

This is only true for sentence B, hence B is the first sentence.

Out of the other three sentences, only sentence A can logically follow B since the 'celebrate it' mentioned in the sentence clearly refers to the Lunar New Year.

Out of the remaining two sentences, C must follow D since it mentions the words 'others'. The 'others' being referred to here can only be understood after we read the part about 'performers' in D.

Hence, the correct order of the sentences is BADC.

Therefore, option 3 is correct.

Firstly, the given passive sentence is in the present tense, which means its active sentence must also be in the same tense. 

Therefore, option 4 is incorrect.

Now, the given passive sentence is in its imperative form, which is used to issue a command or instruction. 

This sense of command is not conveyed by the 'you are requested' construction in option 1. Therefore, it is also incorrect.

Option 2 attempts to convert the sentence into passive by following this pattern:

Let + object + be + past participle

However, it uses 'been' instead of 'be' and is therefore also incorrect.

The correct option is therefore, option 3. Also, it makes use of the modal 'should' which is used to express obligation or instruction.

The correct answer is: Children are painting the wall of this park.

Key Points

• The subject of the Passive Voice is changed into the object of the Active Voice. Also, the object of the Passive Voice is changed into the subject of the Active Voice.
• The removal of the helping verb and the preposition 'by' is necessary while changing the voice of the sentence from Passive to Active.
• The Passive voice in this question is in Present Continuous. Thus, the Active voice will also be in Present Continuous.
• In Passive voice, the format is: Object of the Active voice (Subjective case) + am/is/are + being + V3 + by + Subject of the Active voice (Objective case).
• Thus, the format of Active voice is: Subject + am/is/are + Verb (ing) + Object.
• For example:
• A document is being typed by Arnab. (Passive Voice)
• Arnab is typing a document. (Active Voice)
• The options except (2) don’t follow the correct grammatical format of the Active Voice.

Therefore, the correct answer is: Children are painting the wall of this park.

Let us look at the meanings of the given options:

• Contemporaries - people living or existing at the same period in time
• Colleagues - people with whom we work in a profession
• Cosmopolitans - people who have lived in or travelled to many countries
• Compatriots - fellow citizens of a country

As we can see, out of these, only option 1 'contemporaries' has a meaning similar to the given group of words. 

Therefore, option 1 is correct.

The word 'dubious' means 'not be relied upon'.

Out of the given words, only 'fishy' is the closest in meaning to the given word. It means 'arousing feelings of doubt or suspicion'.

The other words - 'loyal', 'certain' and 'steady' - all have positive connotations and convey the meaning of 'able to be relied upon'. Hence they are all antonyms of the given word.

Therefore, option 1 is the correct answer.

The word 'entice' means 'to persuade someone to do something by offering them something pleasant'.

Here are the meanings of the given options:

• Enrage - to make someone angry
• Entail - to make something necessary
• Entrap - to lure or trick someone into doing something
• Ensue - to happen immediately after an event

As we can see, the word 'entrap' is the closest in meaning to the given word.

Therefore, option 3 is the correct answer.

The underlined segment is an example of a sentence tag, which are short interrogative segments added at the end of sentences and used for emphasis.

Here are some rules that they follow:

• The sentence tag takes the same tense and modal as the first part of the sentence.
• If the verb in the first part of a sentence is positive, the verb in the sentence tag will be negative. If the verb in the first part of a sentence is negative, the verb in the sentence tag will be positive. 
  

The verb in the first part of the given sentence is negative, therefore the sentence tag should be positive.

Also, since the first part of the sentence takes the modal won't (will not), the sentence tag will take the modal will (positive form of won't).

The correct form of the sentence will be: You won't tell the secret, will you?

Hence, option 4 is correct.

The idiom 'couch potato' means 'a person who is lazy and watches a lot of television'.

As we can see, option 1 conveys this meaning perfectly. 

Therefore, option 1 is correct.

The given blank requires a word that conveys the meaning that the 'damage' took place as a result of the war, as understood by the words 'by this war'.

Out of the given words, the word 'cause' means 'to make something happen'. This fits perfectly in the context of this sentence as it implies that the war made the damage happen.

While the word 'construct' might also seem like the correct answer, it is used to refer to the action of building or making something, not causing an event to happen.

Hence, option 2 is correct.

We use relative pronouns such as 'who', 'which', 'that' etc. to join two clauses, based on the subject from the first clause that is being referred to in the second clause.

In the given sentence, the subject from the first clause is 'the cobbler'. Since the subject is a person, the relative pronoun we will use to join the two given clauses should be 'who', not 'which'.

The correct version of the given sentence will be: I know the cobbler who mends the shoes outside the gate of our colony.

Hence, we can see that the part of the sentence which has the error is in option 4.

Let us look at the meaning of the given sentence. We can see that the sentence wants to convey that the artist has continued painting the wall over a period of one week.

The usage of the word 'since' is incorrect here because it is used to refer to the specific starting point of an action.

For example: I have been waiting for him since 5 o'clock.

*(*The action of waiting started at 5 o'clock and has been continuing till the present time).

The correct version of the sentence will be: The street artist Satish Munjal has been painting this wall for the past one week.

'For' is the preposition used to refer to the period it has taken since the starting point of an action till the present time.

Therefore, the part of the sentence in option 2 has the error.

Let us look at the meanings of the given options:

• Disparity - a great difference
• Unlikeliness - the improbability of an outcome
• Equivalence - the condition of being equal
• Disagreement - lack of approval

We understand from the given sentence that there is a difference in pay received by men and women.

Therefore, the word 'disparity' best fits the context of the blank.

Hence, option 1 is correct.

The idiom 'to lead someone by the nose' means 'to control or influence someone completely'.

For example:

It saddens me to see Sonya's mother lead her completely by the nose.

Out of the given options, option 4 conveys this meaning perfectly. 

Therefore, option 4 is the correct answer.

In the given context of the blank, we need a relative pronoun that refers to and helps describe the noun 'war', which is a thing.

Hence, 'who' and 'whom' do not make sense here since they are used to refer to people.

'What' is not a relative pronoun.

Hence, the correct answer is option 3 i.e. which.

We can see how it helps bring the sentence together: "The war which began in 1914 was a total war..."

The correct answer is CBDA

Key Points

• The first sentence should stand independently in meaning and introduce the topic of the passage. Only sentence C fulfills this criteria. It introduces the main theme of the passage. Therefore, sentence C is the first sentence.
• Sentence A cannot follow sentence C logically since it deals with a different topic altogether.
• Out of the other two, it is clear that sentence B comes before sentence D since it introduces the topic of 'forest products' that is further expanded on in D.Therefore, sentence B is the second sentence and sentence D is the third sentence.
• Finally, sentence A is the last sentence. It also logically follows sentence D because it mentions the 'production of news print' which obviously comes from the mention of 'pulp and paper' from sentence D.
• Therefore, the correct order of sentences is CBDA.

​

Thus, the sentences when arranged will appear in the following manner: A large part of Canada is covered with coniferous trees. Forest products, therefore, have been important export items of Canada for more than a century. Pulp and paper are their two most important forest products. In fact, Canada accounts for nearly one-third of the world's production of news print.

The correct word to fit the context here is 'generally' which is used to mean 'in most cases or situations'.

This fits the context of the passage since the meaning being conveyed is that in most cases of earlier wars, civilian populations were not involved in them.

The other words do not fit this context. Here are their meanings:

• Chiefly - more than for any other reason
• Broadly - widely and openly
• Finally - after a long time

Hence, option 3 is correct.

All of the options given here are spelt correctly, except option 1. 

The correct spelling of the word is: meagre. It means 'lacking in quality or quantity'.

Here are the meanings of the other options:

• Measure - to figure out the size, amount or degree of something
• Meadow - open field or grassland
• Matter - a physical substance OR a subject or situation under consideration

The word 'finite' means 'limited in size or extent'.

The words 'limited' and 'bound' mean the same thing as 'finite' and are therefore synonyms of the given word. 'Finished' means 'completed' or 'accomplished' and does not have a meaning opposite to 'finite'.

The word 'endless', however, is directly in contrast to the given word. 

Therefore, option 2 is the right answer.

All of the options given here are spelt correctly, except option 1. 

The correct spelling of the word is: renaissance. It means 'a revival of or a renewed interest in something'.

Here are the meanings of the other options:

• Rendezvous - a meeting at an agreed time and place
• Remuneration - money paid for a work or service
• Remonstrate - to complain or make a forceful protest

The correct answer is "fatalist".

Key Points

• Fatalist- a person who believes that no matter what he or she does, the outcome will be the same.(एक व्यक्ति जो मानता है कि चाहे वह कुछ भी करे, परिणाम वही होगा)
• Prophet- a person regarded as a divine teacher or messenger from God.(एक व्यक्ति जिसे ईश्वर का दूत माना जाता है)
• Seer- a person who can see the future.(एक व्यक्ति जो भविष्य देख सकता है)
• Fanatic- a person who is extremely interested in something.(वह व्यक्ति जो किसी चीज़ में अत्यधिक रुचि रखता हो)
• Hence, the correct answer is 'option 2'.

The word 'reprimand' means 'to severely or formally criticise someone or their actions'.

Here are the meanings of the given options:

• Blame - to feel or say that someone is responsible for doing something wrong
• Compliment - to praise someone
• Reproach - express disapproval in someone's actions
• Apprehend - to arrest someone for a crime

As we can see, the word 'compliment' is directly in contrast to the given word. In fact, the other options have meanings similar to the given word.

Therefore, option 2 is the right answer.