SSC CGL 2023 · 2023-07-19 · Shift 3

The pattern involves a series of operations based on the previous two numbers. By calculating each operation step by step, the correct number replacing the question mark is 2.

PIG : JCA - Let's analyze how each letter transforms: P → J: Shift by -6 in the alphabet (P is the 16th letter, J is the 10th). I → C: Shift by -6 in the alphabet (I is the 9th letter, C is the 3rd). G → A: Shift by -6 in the alphabet (G is the 7th letter, A is the 1st). SUN : MOH - Let's apply the same pattern: S → M: Shift by -6 in the alphabet (S is the 19th letter, M is the 13th). U → O: Shift by -6 in the alphabet (U is the 21st letter, O is the 15th). N → H: Shift by -6 in the alphabet (N is the 14th letter, H is the 8th). Now, for TEK, apply the same -6 shift to each letter: T → N: Shift by -6 (T is the 20th letter, N is the 14th). E → Y: Shift by -6 (E is the 5th letter, Y is the 25th). K → E: Shift by -6 (K is the 11th letter, E is the 5th). Thus, the correct answer is NYE.

The five blanks, placed left to right, are A, K, I, K, J, giving the full sequence LKAJILKCJILKEJILKGJI. The sub-string JILK repeats three times (positions 4–7, 9–12, 14–17), and the letters at the remaining positions (1–3, 8, 13, 18, 20) follow a separate sub-pattern. The completed sequence is AKIKJ.

The differences between consecutive known terms are: 53 − 35 = 18, 77 − 53 = 24, 107 − 77 = 30. These increase by 6 each time. Working backwards, the difference before 35 must be 18 − 6 = 12, so the missing term = 35 − 12 = 23. The correct answer is 23.

Decode D @ N & H @ Y @ F % V step by step: D @ N: D is the daughter of N. N & H: N is the husband of H. H @ Y: H is the daughter of Y. Y @ F: Y is the daughter of F. F % V: F is the wife of V. So F's daughter is Y; Y's daughter is H; H's husband is N. Hence N is the husband of F's granddaughter. Therefore N is related to F as Granddaughter's husband.

The pattern in the sequence involves alternating positions of the black and white circles. By following this alternating pattern, Figure 2 is the correct option to replace the question mark.

The pattern in the letter-cluster series involves alternating shifts and combinations of letters in a specific order. By continuing the series, 'IUZM' follows the same pattern and correctly completes the sequence.

M > N → M is the mother of N. N & O → N is the father of O → O is N’s child → O is M’s grandchild. O ! P → O is the sister of P → P is also M’s grandchild. P & Q → P is the father of Q → Q is P’s child → Q is M’s great-grandchild. Answer: M is the great-grandmother of Q.

In this series, the relationship involves multiplying the first term by the second term. For the second term 21, we calculate 21 * 24 = 504. Thus, the correct answer is 504. Similarly, 18 * 21 = 378, confirming the correct pattern.

When the paper is unfolded, the cut shapes will form a pattern with symmetrical cuts. By analyzing the folding and cutting, we conclude that Figure 4 represents how the paper will look once unfolded.

The pattern involves a sequential increase in each letter of the term. By analyzing the pattern for each position (first letter, second letter, and third letter), we determine that 'WYA' follows as the next term in the series.

Based on the statements, no conclusion logically follows. The first conclusion contradicts the given statements, and there is no sufficient information to support the other conclusions. Hence, none of the conclusions follow.

The mirror image is obtained by reversing the letters as seen in a reflection in the mirror placed at MN. The correct mirrored version of the given sequence is options 3

From the given statements, only conclusion III logically follows because it is derived from the direct information given in the statements that some factories are machines. The other conclusions are not supported by the statements.

'Attack' is the opposite of 'Defence', just as 'Accept' is the opposite of 'Refuse'. The correct analogy is based on opposites, not the number of letters or consonants in the words.

The pattern involves a relationship between the letters in the first and second clusters, and the third and fourth clusters. Based on this pattern, 'BQBAJB' is the correct match for ARABIC in the series.

The correct mirror image is obtained by reflecting the figure on the right side. After analyzing the options, Figure 2 represents the correct mirror image.

The pattern in the given letter-series involves a specific set of relationships between the letters. By following the pattern, we find that 'H B K P' completes the series logically.

The series follows a consistent pattern where each number increases by a specific difference. The difference between 27 and 64 is the same as between 101 and 138, etc. Thus, 64 is the missing number in the series.

The relationship is the difference of cubes: c = a³ − b³. Verification: 12³ − 7³ = 1728 − 343 = 1385; 19³ − 15³ = 6859 − 3375 = 3484; 21³ − 16³ = 9261 − 4096 = 5165. Hence Option 3 is correct.

By switching the numbers 20 and 50 and changing the signs × and +, the equation becomes valid. Hence, Option 3 is correct.

By analyzing the operations in the given set (9, 69, 17), we see that Option 4 (19, 50, 4) follows the same relationship between the numbers. The pattern of mathematical operations matches for this set.

The mirror image of the figure when the mirror is placed at AB would reflect the elements of the figure across the line AB. After evaluating the options, Figure 4 represents the correct mirror image of the given figure.

The operation followed in the series involves multiplying the number by a certain factor. However, in the pair (5 : 685), the relationship is different from the others. The correct odd number-pair is (5 : 685), as it does not follow the same multiplication pattern as the other pairs.

The 3×3 figure grid forms a repeating pattern of symbols (letters, numbers, and shapes) that cycles consistently from left to right across each row in a specific order. Each figure advances the previous one by shifting its components while keeping the pattern structure intact. By analyzing the positions and repetitions, Option 1 continues this pattern exactly. Therefore, the correct answer is Option 1.

To find the percentage composition of elements in H2SO3 (sulphurous acid), first calculate its molar mass using atomic masses H = 1, S = 32, O = 16: Molar mass = (2 × 1) + 32 + (3 × 16) = 2 + 32 + 48 = 82 g/mol. Now compute the mass percentage of each element: • %H = \(\dfrac{2}{82} \times 100 \approx 2.44\%\) (≈ 2.5%) • %S = \(\dfrac{32}{82} \times 100 \approx 39.0\%\) • %O = \(\dfrac{48}{82} \times 100 \approx 58.5\%\) Hence the composition of H2SO3 is 2.5% H, 39% S, 58.5% O, matching option (4). Note: Molar mass 98 g/mol corresponds to H2SO4, not H2SO3.

Lake Baikal is the deepest lake in the world, with a maximum depth of 1,642 meters. Lake Tanganyika is the second deepest lake, with a maximum depth of 1,470 meters. The Caspian Sea ranks next, being the largest enclosed body of water and the third deepest, with a depth of 1,025 meters. Lake Vostok, which is a subglacial lake in Antarctica, has a depth of about 1,000 meters. So, the correct sequence from maximum to minimum depth is Baikal > Tanganyika > Caspian Sea > Vostok.

Justice N.V. Ramana was appointed as the 48th Chief Justice of India in April 2021. He succeeded Justice Sharad Arvind Bobde.

Pectin is the substance that is present in the middle lamella, primary cell wall, and secondary walls of plant cells. It plays a crucial role in the structural integrity and expansion of plant cells during growth.

The Reserve Bank of India (RBI) was established in 1935 based on the recommendations of the Hilton Young Commission (also known as the Royal Commission on Indian Currency and Finance).

The Olympic Games are held every four years, alternating between the Summer and Winter Games. This is established by the International Olympic Committee.

Joravarsinh Jadav, a well-known artist, was awarded the Padma Shri for his contributions to the traditional folk dance form of Bhavai, which originates from Gujarat. He is recognized for his dedication to preserving and promoting this cultural dance.

'Hind Swaraj' or 'Indian Home Rule' was written by Mahatma Gandhi in 1909. In this book, Gandhi articulated his vision of self-rule for India, promoting non-violent resistance and rejecting Western civilization's impact on Indian society.

Moa Subong was awarded the Padma Award in 2023 for his innovative contributions to the field of Science and Technology (S&T) in creating Naga folk music. He is recognized for blending traditional Naga music with modern techniques, which has helped preserve and evolve the Naga culture.

India won a total of 19 medals in the Tokyo 2020 Paralympic Games. This includes 5 gold, 8 silver, and 6 bronze, marking the country's best performance at the Paralympics to date.

In Kautilya's Saptang Theory, "Amatya" refers to ministers and officials who assist the ruler in the administration of the state. This concept is key in the governance structure described in the Arthashastra.

The Second Five-Year Plan, launched in 1956, focused on the development of industries and industrial infrastructure in India, promoting public sector enterprises and large-scale industries as the backbone of economic growth.

The Tea Festival is celebrated annually in Jorhat, Assam, which is known as the 'Tea Capital of India'. The festival showcases the rich heritage of tea cultivation and the culture associated with it.

The incorrect pairing is Pteridophyta – Cycas. Cycas is a type of Gymnosperm, not a Pteridophyte. Pteridophytes include ferns, while Cycas belongs to the Gymnosperm group of plants, which are seed-producing and include conifers.

The demographic dividend refers to a period when a country has a higher proportion of working-age individuals (15-64 years) compared to dependents (children and elderly). India’s demographic dividend is largely attributed to this age group, which supports economic growth.

Faiyaz Khan was a renowned classical musician associated with the Tabla, a percussion instrument. He is considered one of the most significant tabla players in Indian classical music.

The Raigarh Gharana is a traditional style of Kathak, which is a classical Indian dance form. The Raigarh Gharana is known for its intricate footwork and storytelling through dance.

Bernoulli's Law states that for an incompressible, non-viscous fluid in steady flow, the total mechanical energy along a streamline (which is the sum of the kinetic energy, potential energy, and fluid pressure) remains constant.

The Jawaharlal Nehru National Urban Renewal Mission (JNNURM) was launched in 2005 to address the urban infrastructure deficit in India, focusing on urban rejuvenation and development across cities.

The Indian Constitution was enacted on 26th November 1949 and came into effect on 26th January 1950, marking the day India became a republic. The date of enactment is significant in India's journey to becoming a sovereign nation.

Abdur Razzaq, a Persian envoy, visited Vijayanagar during the reign of Deva Raya II in the 15th century. His accounts provide valuable insight into the kingdom's political and cultural state during that time.

As per Article 172(2) of the Indian Constitution, the Legislative Council of a State is not subject to dissolution. It functions similarly to the Rajya Sabha (Council of States) at the national level and is a permanent body, unlike the Legislative Assembly which is dissolved after the term ends.

Justice Indu Malhotra delivered a dissenting opinion in the landmark case regarding the entry of women into the Sabarimala temple. While the majority ruled in favor of allowing women of all ages to enter, Justice Malhotra disagreed, presenting a differing view based on tradition and religious practices.

Mahatma Gandhi returned to India from South Africa on 9th January 1915. This event is significant as it marked the beginning of his active involvement in the Indian freedom struggle. He was welcomed in India as a leader, and his return helped galvanize the Indian masses against British colonial rule.

Mizoram is referred to as the 'Molasses Basin' because of its geological characteristics. The state is made up of soft, unconsolidated deposits, primarily consisting of sedimentary soil and rocks like clay and silt. This geological formation is what gives it the name "Molasses Basin."

Let the numbers be x and y such that x + y = 98 and x - y = 28. Solving the equations: x = 63, y = 35. One of the numbers is 35.

Speed in still water = 20 km / 0.5 hr = 40 km/h. Speed downstream = 1.25 × 40 = 50 km/h. Let speed of stream = x, then: 40 + x = 50 ⇒ x = 10. So upstream speed = 40 − 10 = 30 km/h. Time = Distance / Speed = 15 / 30 = 0.5 hr = 1/2 hour.

Time from 24 Jan to 18 Jun = approx. 5 months = 5/12 years. SI = (78,000 × 8.5 × 5) / (100 × 12) = ₹2,763. Total = 78,000 + 2,763 = ₹80,763 ≈ ₹80,723.

Let daughter's age be x. Then mother's age = 7 years ago: M-7 = 7(x−7). Also: M+3 = 3(x+3). Solving: M = 42, x = 12.

Looking at the pie chart, the smallest segment corresponds to 'Medicines' at 10%. So, 10% of 360° = 36°.

For externally touching circles, number of common tangents = 3 (2 direct and 1 transverse).

Apply divisibility rule of 11: Alternating sum of digits should be divisible by 11. Only 959230 satisfies this.

From the bar chart, in Delhi: BSNL users = 10 (in thousands), Airtel users = 20 (in thousands). Ratio = 10 : 20 = 1 : 2.

cos²θ + cos⁴θ = cos²θ(1 + cos²θ). . Hence, the answer is 1

Relative speed = 20 + 30 = 50 m/s (opposite directions). Time for one meet = 100 / 50 = 2 sec. In 1 complete round (100 m), number of distinct crossing points = LCM of speeds / track length = LCM(20,30)/100 = 100/5 = 5 crossing points.

Susan's speed = 12 pages / 6 min = 2 pages/min. Mary's speed = 6 pages / 12 min = 0.5 pages/min. Total speed = 2 + 0.5 = 2.5 pages/min. Total pages in 32 minutes = 2.5 × 32 = 80 pages.

Let S borrow \(x\) rupees. S pays R: \(x + 17000\) (₹17,000 more than borrowed). S receives from T: \(1.065x\) (6.5% more than the amount S lent). For S to incur no loss: \(1.065x \geq x + 17000\) \(0.065x \geq 17000\) \(x \geq \dfrac{17000}{0.065} \approx 261538.46\) From the given options the smallest amount that is at least ₹2,61,538.46 is ₹3,10,000. Lower options (₹2,25,000 — loss ₹2,375; ₹2,60,000 — loss ₹100) fail the no-loss condition. Hence S must borrow at least ₹3,10,000.

Work = Men × Days = 8 × 10 = 80 man-days. Work = Women × Days = 10 × 12 = 120 woman-days. So, 1 man = 1.5 women. 4 men = 6 women → Total = 10 women. Time = 120 / 10 = 12 days.

Dividing x² − 7x + 1 = 0 by x: x + 1/x = 7. x² − 1/x² = (x + 1/x)(x − 1/x). x − 1/x = −√((x + 1/x)² − 4) = −√(49 − 4) = −√45 = −3√5 (negative because 0 < x < 1 implies x < 1/x). Therefore x² − 1/x² = 7 × (−3√5) = −21√5.

Selling price = Marked price - Discount. Discount = 4% of ₹9,400 = ₹376. Selling price = ₹9,400 − ₹376 = ₹9,024.

Cost of 10 pens = 10 × 8 = ₹80, 10 erasers = 10 × 5 = ₹50, total so far = ₹130. Left = ₹20, so number of sharpeners = ₹20 / 4 = 5. Total items = 10 + 10 + 5 = 25. Average = ₹150 / 25 = ₹6.

Work done by 10 women in 1 day = 1/6 ⇒ 1 woman = 1/(10×6) = 1/60. Work done by 6 men in 1 day = 1/5 ⇒ 1 man = 1/(6×5) = 1/30. Total work/day = (10×1/60) + (6×1/30) = 1/6 + 1/5 = 11/30. Time = 1 ÷ (11/30) = 30/11 = 2 8/11 days.

If triangles are similar, then corresponding sides are proportional. PQ/AB = QR/BC = RP/CA ⇒ Ratio = 6/4 = 3/2. So perimeter of ΔABC = (Perimeter of ΔPQR) × (2/3) = (6+9+12) × (2/3) = 27 × 2/3 = 18 cm.

If a:b = b:c, then c is the third proportional. So 25:35 = 35:x ⇒ 25×x = 35×35 ⇒ x = 1225/25 = 49.

Let the salaries be 2x, 3x, 5x. New salaries = 2x × 1.15 = 2.3x, 3x × 1.10 = 3.3x, 5x × 1.2 = 6x. Ratio = 2.3 : 3.3 : 6 ⇒ multiply all by 10 ⇒ 23 : 33 : 60.

The surface area of a sphere is given by the formula: 4πr², where r is the radius of the sphere. We are given the surface area as 9π. So, set the formula equal to 9π: 4πr² = 9π Divide both sides by π: 4r² = 9 Now, divide by 4: r² = 9/4 Take the square root of both sides: r = √(9/4) = 3/2 = 1.5 units.

Area of sector = (θ/360) × πr² = (60/360) × (22/7) × 7² = (1/6) × (22/7) × 49 = 77/3 cm².

Given: 65% of 350 − ?% of 250 + 40% of 120 = 158 Compute the known terms: 65% of 350 = \(\frac{65}{100} \times 350 = 227.5\) 40% of 120 = \(\frac{40}{100} \times 120 = 48\) Substitute into the equation: \(227.5 - \frac{?}{100} \times 250 + 48 = 158\) \(275.5 - 2.5 \times ? = 158\) \(2.5 \times ? = 117.5\) \(? = 47\) Hence, the value of ? = 47.

2 cot x = 5 ⇒ cot x = 5/2 = cos x / sin x. Let sin x = 2k ⇒ cos x = 5k (by ratio). Use identity: sin²x + cos²x = 1 ⇒ (2k)² + (5k)² = 1 ⇒ 4k² + 25k² = 1 ⇒ 29k² = 1 ⇒ k² = 1/29. Now plug into expression: (2×5k − 2k)/(2×5k + 2k) = (10k − 2k)/(10k + 2k) = 8k/12k = 2/3.

In triangles, if two sides are in proportion and the included angle is equal, then triangles are similar by SAS similarity. Here, AB/DE = BC/FD and ∠B = ∠D satisfies SAS condition. Hence, triangles are similar.

The correct answer is Plutocracy

'Clandestine' means secret or hidden, so the antonym would be 'Known'. Hence, the correct answer is 'Known'.

'Absurd' means something illogical or unreasonable, and the antonym of 'absurd' in this context would be 'realistic'. Hence, 'Realistic' is the correct answer.

In the active voice, the subject performs the action. 'Water covers most of Earth's surface' is the active voice form of the given sentence.

'Will been cooking' is grammatically incorrect. It should be 'will be cooking'. Hence, the error lies in the second segment.

The correct phrase is 'Either you or he will have to pay for this damage.' 'Or he' is the correct substitution, as 'either ... or' is the correct structure.

'Scent' refers to a smell or fragrance, which is the most appropriate word for the blank. The word 'scent' fits the sentence context, making it the correct answer.

The correct order of the sentences to form a meaningful paragraph is DCAB. Sentence D introduces the topic, followed by sentence C, which explains the general awareness of anxiety. Sentence A explains the symptoms, and B expands on the topic by describing the advanced symptoms of anxiety.

The question asks us to identify the incorrectly spelt word among the given options. Let us examine each option: Mischievous - correctly spelt; means causing trouble in a playful way. Miniature - correctly spelt; means very small. Metamorphic - correctly spelt; relating to change of form or structure. Mispell - incorrectly spelt. The correct spelling is "Misspell" (with double "s"), formed by the prefix "mis-" added to the root word "spell". Hence, the incorrectly spelt word is "Mispell", which should be written as "Misspell".

The idiom 'To go to the dogs' means 'to become worse' or 'to deteriorate'. Therefore, the correct answer is option 2.

'Adamant' means unyielding or refusing to change one's mind, which is synonymous with 'Stubborn'. Hence, the correct answer is 'Stubborn'.

The sentence contains a double negative error in the segment 'She rarely approached nobody'. \n The adverb rarely already carries a negative meaning ('almost never'). Pairing it with another negative word nobody creates a double negative, which is grammatically incorrect in standard English. \n The correct form should use the indefinite pronoun anybody instead: 'She rarely approached anybody to talk about the problems that she was facing.' \n Hence, the error lies in the first segment, and the correct answer is Option 3: 'She rarely approached nobody'.

The word 'randomly' implies a lack of order or planning. The opposite, or antonym, would be 'systematically', meaning in an organized and methodical manner.

In passive voice, the object becomes the subject of the sentence. 'The decimal system' becomes the subject, and 'was invented' is used to convey the passive action. The correct answer is option 1.

The idiom 'take the wind out of someone's sails' means to make someone feel less confident or enthusiastic. Therefore, 'sails' is the most appropriate word to complete the sentence.

'Trasury' is the incorrectly spelled word. The correct spelling should be 'Treasury'. Therefore, option 3 is the correct answer.

The correct order to form a coherent paragraph is BDCA. First, we introduce the concept of heredity and Darwin's work. Then, we discuss how the significance of Mendel’s work emerged. Finally, the focus shifts to man’s phylogenetic origins.

'Exhausted' is the most appropriate word for someone who is extremely tired after a long day. 'Depressed' refers to a feeling of sadness, which is not appropriate here, while 'sleepy' refers more to the urge to sleep, not exhaustion. 'Bare' is unrelated to tiredness.

'Genuine' is the synonym of 'Authentic'. Both words refer to something being real or true. 'False', 'Doubtful', and 'Corrupt' are antonyms of 'Authentic'.

'Plagiarism' is the act of copying someone else’s work and presenting it as your own. 'Hooliganism' refers to violent behavior, 'Altruism' means selfless concern for others, and 'Cynicism' refers to distrust or pessimism about others' intentions.

The correct word is 'depend' as it fits the context, indicating reliance on oil for energy. The sentence makes sense as 'we depend on oil for it'.

'Shall' is the most appropriate word here, as it suggests future actions. It fits the sentence structure and indicates the amount of oil consumed daily in the future tense.

The correct word to fill in blank 3 is "consume." The sentence refers to the regular use or intake of oil, and "consume" is the most appropriate verb in this context, indicating the use or consumption of oil. The other options (devour, take, absorb) do not fit as naturally in this context.

The correct option is "was founded." The sentence describes the founding of the company in 1924, which is a past event. The correct passive construction is "was founded," as it is referring to the action happening at that specific time in the past. The other options do not fit the tense or context correctly.

The correct answer is "merged." In the context of the passage, the word "merged" fits best, as it refers to the combining of two companies (Total and Petrofina). The other options, "combine," "join," and "incorporate," can also be related to combining entities, but "merged" specifically implies the formal combining of two companies into one, which fits the context of the sentence about Total joining with another company.