IBPS Clerk Prelims 2015 Question Paper with Answers & Explanations

Explanation

The paragraph opens with sentence (D), which introduces a general, self-contained premise regarding growing concerns about global warming, energy, and water crises. This provides the necessary background context for the subsequent statements describing corporate responses.

Explanation

Sentence (A) logically follows sentence (D) because "these issues" in (A) directly refers back to the global warming, energy, and water crises introduced in (D). It describes how Indian corporates are turning eco-friendly to tackle those problems.

Explanation

Sentence (F) elaborate on sentence (A) by specifying what measures "they" (the Indian corporates) are taking. Planting trees, using energy-saving lighting systems, and constructing eco-friendly green buildings represent the direct actions referenced in sentence (A).

Explanation

Sentence (E) provides the reason for the statement in sentence (B), which notes that there are currently only a dozen green buildings in the private sector. It explains that the high upfront construction cost—15% to 20% higher than conventional buildings—is why green buildings remain scarce.

Explanation

Sentence (C) serves as the logical conclusion of the paragraph by addressing the concern raised in sentence (E). Although constructing an eco-friendly building incurs higher upfront expenses, sentence (C) clarifies that lower operating expenses make it cost-effective over the long run.

Explanation

The given sentence is completely error-free. The introductory participial clause "While designing interfaces" correctly acts as an adverbial modifier. The relative clause "that will be used in developing countries" uses appropriate passive voice syntax and future tense, while the main clause "it's better to use explicit controls" correctly employs the dummy pronoun "it's" alongside an infinitive phrase. All subject-verb agreements, prepositions, and tenses are used appropriately throughout the sentence.

Explanation

The verb phrase "point out" requires the conjunction "that" to properly introduce the subordinate noun clause that follows ("that the other team had an extra member on the ground"). In the given sentence, the conjunction "that" is missing after "point out".

To make the sentence grammatically correct, part 2 should be modified to "he failed to point out that the", resulting in: "While refereeing the match, he failed to point out that the other team had an extra member on the ground."

Explanation

The correct idiomatic expression is "dwell on" or "dwell upon", which means to spend a lot of time thinking, speaking, or worrying about something, especially something unpleasant from the past. The preposition "over" is grammatically incorrect when used with "dwell" in this context. Therefore, "dwell over her past" contains a prepositional error and should be corrected to "dwell on her past" or "dwell upon her past".

Explanation

The subject of the main clause is "the school", which is a singular entity. Possessive pronouns must agree in number with their antecedent, so the plural pronoun "their" must be replaced with the singular possessive pronoun "its" to correctly yield "to keep its students safe".

Explanation

When "reach" is used to mean arriving at a destination, it acts as a transitive verb that takes a direct object without any intervening preposition. The preposition "at" must be removed, making the correct phrasing "We reached the platform".

Explanation

The preposition "between" is used when referring to two distinct reference points or entities. Since "his tenure" refers to a single continuous time period, the preposition "during" must be used instead, making the correct phrase "during his tenure as the CEO".

Explanation

The subject phrase "Each one of us" has "Each one" as its core subject, which is grammatically singular regardless of the plural object "us" in the prepositional phrase. Therefore, the plural verb "are" must be replaced with the singular verb "is" to read "Each one of us is responsible".

Explanation

The phrase "with respect of" is ungrammatical in this context. The standard fixed prepositional phrase used to express relation or reference to something is "with respect to" or alternatively "in respect of". Correcting the error yields "with respect to gun safety laws".

Explanation

The sentence uses an inverted third conditional structure starting with "Had she started". The main clause of a third conditional sentence requires the modal verb "would have" followed by the past participle. Therefore, the phrase "will have reached" is grammatically incorrect and must be replaced with "would have reached".

Explanation

The sentence lists three parallel actions following the verb "spent". To maintain parallel grammatical structure, all items in the series must take the gerund form (-ing). The third action "arranged" breaks this parallelism and should be written as "arranging" to match "cleaning" and "dusting".

Explanation

In the passage, the word akin is used to mean having a similar quality, nature, or character, or sharing a close resemblance to something else. The word dissimilar means not similar, different, or lacking resemblance, making it the direct antonym of akin in this context.

Explanation

An understatement refers to a statement that represents something as smaller, less intense, or less important than it actually is. The direct antonym of understatement is exaggeration, which means describing or representing something in a manner that makes it seem larger, more extreme, or more significant than it really is. In the context of the passage, where the author stresses the excessive scope of the surveillance program, exaggerating a claim serves as the exact opposite of understating it.

Explanation

The term irrational describes something that lacks reason, sense, or sound judgment. The word logical refers to something characterized by clear, sound reasoning and consistency, making it the direct antonym of irrational.

Explanation

In the context of the passage, acceleration refers to a marked increase or speeding up in the rate of economic growth. The direct antonym or most opposite word to acceleration is deceleration, which denotes a reduction in speed, a slowdown, or a decrease in the rate of progress.

Explanation

In the given context, "exaggerate" means to overstate, magnify, or represent something as greater or more significant than it actually is. The word that expresses the direct opposite meaning of overstating or magnifying is "lessen," which means to reduce, diminish, or make something smaller or less intense in degree or magnitude.

Explanation

The author's tone is persuasive because the passage actively encourages and motivates the reader to learn Morse code and become an amateur ham radio operator. Throughout the text, particularly in the concluding paragraphs, the author uses direct appeals, rhetorical questions such as "Why not join this family of ham radio operators?", and compelling arguments regarding power grid vulnerabilities to convince the audience that acquiring this skill is vital for safety, survival, and emergency communication.

Explanation

The author structures the passage by first highlighting the vulnerability of the nation's power grid to threats such as cyberattacks, solar flares, and electromagnetic pulses, which could sever standard communication channels during a crisis. After establishing this severe threat to vital information flow, the passage transitions to its main purpose: urging readers to become amateur radio operators and learn Morse code. The text explicitly invites the reader to acquire this skill so they can act as a crucial communication line during emergencies, concluding that Morse code is an essential survival tool for personal, family, and national safety.

Explanation

The author explicitly describes four distinct potential threats to the power grid in the passage: hacking into grid computer networks by hostile actors, solar flares or coronal mass ejections (CMEs) from the sun, electromagnetic bombs that generate disabling electronic pulses, and the rapid growth of cities leading to energy demand outstripping supply capacity.

Explanation

Coronal mass ejections (CMEs) eject powerful electromagnetic fields that wreak havoc on sensitive electronic components. Because modern power grids are managed by computer networks and rely on sensitive electronic equipment, the physical damage inflicted on these delicate components poses a direct threat to the grid's functioning, leading to widespread power outages.

Explanation

The author asks the reader to imagine a world where all routine media and communication resources fall silent to emphasize our heavy daily reliance on them. By illustrating how dramatically life would be disrupted without these everyday technologies, the author vividly highlights the severity and potential consequences of a widespread grid failure or emergency. This rhetorical scenario serves to help the reader grasp the full intensity and gravity of the problem before introducing the vital role of amateur radio operators and Morse code as emergency alternatives.

Explanation

According to the passage, the technology for electromagnetic bombs poses a direct hazard to the power grid because it is easily accessible online to potential adversaries. Searching for this technology on the internet demonstrates how easily a would-be enemy can obtain the instructions needed to create an enormous blackout, causing mass panic and disrupting critical energy infrastructure.

Explanation

According to the final paragraph of the passage, preparing by learning Morse code places an individual on the front lines of a vital communication network, enabling them to be responsible for bringing peace, comfort, and safety information to friends, family, and society during emergencies when traditional power and communication grids fail.

Explanation

In the context of the passage, sinister refers to threats that are malicious, harmful, or evil in nature, such as intentional hacking or cyberattacks. The word nasty best captures this meaning, as it describes something deeply unpleasant, threat-posing, or harmful.

Explanation

In the context of the passage, "assortment" refers to a collection consisting of different kinds or types of communication methods. The word "variety" precisely captures this meaning of having a diverse collection of different elements. Words such as similar, akin, and comparable describe similarity or likeness between items rather than a collection of different types.

Explanation

Effectual means successful in producing a desired or intended result, or having the power to bring about a planned effect. Productive similarly describes something that yields effective, useful, or favorable results, making it synonymous with effectual.

Explanation

Row 1 members face South (positions 1 to 6 from left to right), while Row 2 members face North.

Since Q is at the extreme right end (position 6) of Row 1, S sits third to its right at position 3. The person facing Q at position 6 of Row 2 is second to the right of E, placing E at position 4. Neither B nor F is at an extreme end, and with two people between them, they occupy positions 2 and 5. C sits second to the left of A, forcing C to position 1 and A to position 3 in Row 2. The remaining spot at position 6 of Row 2 is occupied by D, making D sit at the extreme end of Row 2.

In Row 1, E (at position 4 of Row 2) faces the person at position 4. Since E is an immediate neighbor of B (at position 5), the person at position 4 must be third to the left of P, which places P at position 1. Thus, P sits at the extreme end of Row 1. Therefore, P and D both sit at the extreme ends of their respective rows.

Explanation

Numbering the positions 1 to 6 from left to right:

In Row 1 (facing South), Q sits at the extreme right end (position 6). S sits third to the right of Q at position 3.

In Row 2 (facing North), the person facing Q is at position 6, who sits second to the right of E, placing E at position 4.

B and F cannot sit at the extreme ends (positions 1 and 6) and have two people between them, so they must occupy positions 2 and 5 in Row 2.

P sits at position 1 in Row 1. The person third to the left of P is at position 4, who faces E at position 4 in Row 2. Since E is an immediate neighbor of B, B sits at position 5 and F at position 2.

In Row 2, C sits second to the left of A, placing C at position 1, A at position 3, and D at position 6.

Therefore, A is at position 3 in Row 2, directly facing S at position 3 in Row 1.

Explanation

In Row 1 (facing South, positions 1 to 6 from left to right), Q sits at position 6 and S sits at position 3, since S sits third to the right of Q and Q is at an extreme end. In Row 2 (facing North), the person facing Q is second to the right of E, placing E at position 4.

Since B and F cannot sit at extreme ends and have two people between them, F occupies position 2 and B occupies position 5. C sits second to the left of A, placing C at position 1, A at position 3, and D at position 6.

In Row 1, P is placed at position 1 so that its third-to-left position (position 4) faces E (an immediate neighbor of B). Since T does not face D's neighbor B (at position 5), R occupies position 5, T occupies position 4, and V occupies position 2.

The complete arrangement for Row 1 is P, V, S, T, R, Q. Therefore, exactly 2 persons (S and T) sit between V and R.

Explanation

Row 1 contains P, V, S, T, R, Q from positions 1 to 6 facing South, while Row 2 contains C, F, A, E, B, D from positions 1 to 6 facing North. The given relationship maps a person at position x in Row 1 to the person at position x + 2 in Row 2. Since P at position 1 relates to A at position 3, and S at position 3 relates to B at position 5, T at position 4 relates to D at position 6.

Explanation

In Row 1 (facing South), the seating order from left to right is P, V, S, T, R, Q. In Row 2 (facing North), the seating order from left to right is C, F, A, E, B, D.

For a person facing South in Row 1, the right side corresponds to moving towards the left side of the row. T is sitting at the fourth position from the left, so the person sitting second to the right of T is V (at the second position from the left).

F sits at the second position from the left in Row 2, directly facing V. Therefore, F faces the person who is second to the right of T.

Explanation

Taking point A as the origin (0, 0), the net displacements along the vertical (North-South) and horizontal (East-West) axes are calculated as follows:

Net North movement = 5 km + 7 km = 12 km Net East movement = 7 km - 2 km = 5 km

The straight-line distance between point A and point B forms the hypotenuse of a right-angled triangle with perpendicular sides of 12 km and 5 km. Using the Pythagorean theorem:

Distance AB = √(12² + 5²) = √(144 + 25) = √169 = 13 km

Explanation

The position of a person from the front in a queue is given by the formula: Position from Front = Total Students − Position from Behind + 1. Substituting the given values yields 40 − 10 + 1 = 31st.

Explanation

A niece's paternal grandmother refers to the mother of the niece's father, who is Ravi's mother assuming the niece is his brother's daughter. The sister-in-law of Ravi's mother is Ravi's aunt. Consequently, the senior citizen is Ravi's aunt, and Ravi is her nephew. Since option E represents None of the above, it is the correct choice.

Explanation

Arranging the five friends by weight from heaviest to lightest using the given clues yields the sequence D > E > C > A > B. D is the only person heavier than E, C is in the middle position, A is not the lightest, and D is heavier than A. Thus, D is the heaviest person.

Explanation

To determine the height order from tallest to shortest (1st to 5th):

D is taller than only E, which places D at 4th position and E at 5th position. Only one person is taller than B, which places B at 2nd position. This leaves 1st and 3rd positions open for A and C. Since A is taller than C, A occupies the 1st position and C occupies the 3rd position.

The complete height order from tallest to shortest is A > B > C > D > E, which makes A the tallest person.

Explanation

Arranging the five friends by height from tallest to shortest based on the given statements yields the sequence A > B > C > D > E. Since D is taller than only E, E is the shortest among all five friends.

Explanation

Ranking the friends from tallest to shortest gives the order A as first, B as second, C as third, D as fourth, and E as fifth. Therefore, C secures the third rank in height.

Explanation

From the premise: only one person is heavier than E, so E is 2nd heaviest. C lies in the middle, i.e. 3rd. D is heavier than A and A is not the lightest, so D is 1st, A is 4th and B is 5th. Order heaviest to lightest: D > E > C > A > B. The fourth rank therefore belongs to A.

Explanation

By setting point A as the origin (0, 0), Gautham's path is traced as follows:

Moving 4 km North to reach B gives coordinates (0, 4). Turning left (West) and traveling 8 km to reach C gives coordinates (-8, 4). Turning left (South) and traveling 12 km to reach D gives coordinates (-8, -8). Turning left (East) and traveling 8 km to reach E gives coordinates (0, -8).

The horizontal displacement cancels completely (-8 km + 8 km = 0 km). The net vertical displacement relative to point A is 4 km north - 12 km south = -8 km. Point E is located 8 km to the south of point A.

Explanation

Ram's mother's niece is the daughter of Ram's mother's sibling. The father of this niece is therefore Ram's mother's brother (or brother-in-law). Since the brother or brother-in-law of one's mother is a maternal uncle, Ram's mother's niece's father is Ram's uncle.

Explanation

Combining the given statements using Ketchup as the common element yields: Ketchup > Iodisedsalt > Tomatoes > Eggs Ketchup > Radish > Oranges

To evaluate Conclusion 1 (Radish < Eggs): Both Radish and Eggs are less than Ketchup. Since no direct line of comparison connects Radish and Eggs, their relative magnitude is unknown.

To evaluate Conclusion 2 (Oranges < Tomatoes): Both Oranges and Tomatoes are less than Ketchup. Since both terms lie on independent branches below Ketchup, no relation can be established between Oranges and Tomatoes.

Explanation

Combining the given inequalities gives Ostrich = Otter = Dove ≥ Salmon > Yak. Since Ostrich ≥ Salmon and Salmon > Yak, it follows directly that Ostrich > Yak, making Conclusion 1 implied. Similarly, combining Cat < Lion < Ostrich = Otter = Dove yields Cat < Dove, making Conclusion 2 also implied. Thus, both conclusions are implied.

Explanation

From the inequality chain Ketchup ≥ Lemons ≥ Mango ≥ Neem, transitivity directly gives Ketchup ≥ Neem. Rewriting this relationship with Neem first yields Neem ≤ Ketchup, which makes conclusion 1 definitively true. Conclusion 2 asserts a strict inequality Neem < Ketchup, which cannot be definitively guaranteed because Neem may be equal to Ketchup. Thus, only conclusion 1 is implied.

Explanation

From the given statement, zebra ≥ yak = whale, which directly yields zebra ≥ whale (or whale ≤ zebra). The relation whale ≤ zebra implies two possible mutually exclusive outcomes: whale < zebra or whale = zebra. Since these two possibilities cover all conditions of the derived inequality without overlapping, either conclusion 1 or conclusion 2 is implied, but both cannot be true simultaneously.

Explanation

The given statement consists of two independent inequality chains: Banana > Apple > Salmon, and Carrot > Lemon > Yak milk. Since there is no common element or defined relationship connecting the items in the first chain with those in the second chain, no comparison between items across the two sets can be established. Consequently, neither Conclusion 1 (Banana > Lemon) nor Conclusion 2 (Apple > Yak milk) can be logically derived.

Explanation

The coding pattern removes the middle letter of the word and arranges the remaining letters in alphabetical order:

dog (3 letters): removing middle letter 'o' leaves 'd' and 'g', which alphabetically gives dg.

boats (5 letters): removing middle letter 'a' leaves 'b', 'o', 't', 's', which alphabetically gives bost.

shocked (7 letters): removing middle letter 'c' leaves 's', 'h', 'o', 'k', 'e', 'd', which alphabetically gives edhkos.

republicans (11 letters): removing middle letter 'l' leaves 'r', 'e', 'p', 'u', 'b', 'i', 'c', 'a', 'n', 's', which alphabetically gives abceinprsu.

Applying this rule to goldsmith (9 letters): Remove the 5th (middle) letter 's'. The remaining letters are g, o, l, d, m, i, t, h. Arranging these remaining letters in alphabetical order yields dghilmot.

Explanation

Removing the letter l from the word abolish leaves the letters a, b, h, i, o, s. Arranging these remaining letters in alphabetical order yields abhios.

Explanation

The coding pattern removes the central letter of the word and arranges the remaining letters in alphabetical order.

In the word dog (3 letters), removing the central letter o leaves d and g, which in alphabetical order gives dg.

In the word boats (5 letters), removing the central letter a leaves b, o, t, and s, which in alphabetical order gives bost.

In the word shocked (7 letters), removing the central letter c leaves s, h, o, k, e, and d, which in alphabetical order gives dehkos.

In the word republicans (11 letters), removing the central letter l leaves r, e, p, u, b, i, c, a, n, and s, which in alphabetical order gives abceinprsu.

For the word friends (7 letters), the central letter is e. Removing e leaves the remaining letters f, r, i, n, d, and s. Arranging these letters in alphabetical order yields dfinrs.

Explanation

In the given sequence of alphabets: P(1), Y(2), C(3), A(4), Q(5), T(6), J(7), O(8), U(9), B(10), G(11), M(12), V(13), H(14), N(15), X(16), E(17), S(18), I(19), W(20), D(21), R(22), K(23), F(24), L(25), Z(26).

Each letter of PURSE is shifted forward along the sequence by a specific number of positions:

P (position 1) + 1 position = position 2 (Y) U (position 9) + 2 positions = position 11 (G) R (position 22) + 4 positions = position 26 (Z) S (position 18) + 5 positions = position 23 (K) E (position 17) + 6 positions = position 23 (K)

Combining these shifted letters yields YGZKK.

Explanation

Based on the provided custom alphabet sequence, each letter corresponds to a specific position from 1 to 26: P=1, Y=2, C=3, Q=4, J=5, T=6, A=7, O=8, U=9, B=10, G=11, M=12, V=13, H=14, N=15, X=16, E=17, S=18, I=19, W=20, D=21, R=22, K=23, F=24, L=25, Z=26.

Each letter of the word is shifted forward in the sequence by prime number steps (+2, +3, +5, +11, +11):

S (position 18) + 2 = 20 → W H (position 14) + 3 = 17 → E I (position 19) + 5 = 24 → F R (position 22) + 11 = 33 ≡ 7 (33 − 26) → A T (position 6) + 11 = 17 → E

Combining these coded letters gives WEFAE.

Explanation

In the provided alphabet sequence, each letter of HAIR is shifted 3 positions forward: H (14th) becomes E (17th), A (4th) becomes J (7th), I (19th) becomes K (22nd), and R (23rd) becomes Z (26th).

Applying the same +3 forward shift to each letter in ARROW: A (4th) + 3 = 7th letter = J R (23rd) + 3 = 26th letter = Z R (23rd) + 3 = 26th letter = Z O (8th) + 3 = 11th letter = G W (20th) + 3 = 23rd letter = R

This produces the code JZZGR.

Explanation

Based on the given alphabetical sequence, the coding rule alternates between moving 2 positions to the left (-2) and 1 position to the right (+1).

For TAIL: T (position 6) - 2 = A (position 4) A (position 4) + 1 = Q (position 5) I (position 19) - 2 = E (position 17) L (position 25) + 1 = Z (position 26)

Applying the same rule to OVER: O (position 8) - 2 = T (position 6) V (position 13) + 1 = H (position 14) E (position 17) - 2 = N (position 15) R (position 23) + 1 = F (position 24)

Thus, OVER is coded as THNF.

Explanation

Based on the provided alphabetical sequence, the numerical position of each letter is: P=1, Y=2, C=3, A=4, Q=5, T=6, J=7, O=8, U=9, B=10, G=11, M=12, V=13, H=14, N=15, X=16, E=17, S=18, I=19, W=20, D=21, K=22, R=23, F=24, L=25, Z=26.

The word POWER is coded as JVFWL by adding decreasing shifts (+6, +5, +4, +3, +2) to each letter's position: P(1) + 6 = 7 (J) O(8) + 5 = 13 (V) W(20) + 4 = 24 (F) E(17) + 3 = 20 (W) R(23) + 2 = 25 (L)

Applying the exact same rule to CHAIR: C(3) + 6 = 9 (U) H(14) + 5 = 19 (I) A(4) + 4 = 8 (O) I(19) + 3 = 22 (K) R(23) + 2 = 25 (L)

The correct coded word for CHAIR is UIOKL.

Explanation

Position from front = Total students - Position from back + 1. Substituting the given values gives 25 - 12 + 1 = 14th.

Explanation

To find pairs of letters in SQOTRP that have the same number of letters between them as in the English alphabet, evaluate the positional values of each letter: S = 19, Q = 17, O = 15, T = 20, R = 18, and P = 16.

For a pair separated by k letters in the string, the absolute difference between their alphabetical positional values must equal k + 1.

Testing all relative positions in SQOTRP: For k = 0 (adjacent letters, required difference = 1): SQ (difference = 2), QO (difference = 2), OT (difference = 5), TR (difference = 2), RP (difference = 2). For k = 1 (1 letter between, required difference = 2): SO (difference = 4), QT (difference = 3), OR (difference = 3), TP (difference = 4). For k = 2 (2 letters between, required difference = 3): ST (difference = 1), QR (difference = 1), OP (difference = 1). For k = 3 (3 letters between, required difference = 4): SR (difference = 1), QP (difference = 1). For k = 4 (4 letters between, required difference = 5): SP (difference = 3).

No pair satisfies the condition in either the forward or backward direction.

Explanation

To find the required position from the right end, subtract the rightward shift from the initial position from the right: 17 - 7 = 10th position from the right end.

Counting elements from the right end of the series: 1st: Q 2nd: T 3rd: O 4th: S 5th: R 6th: R 7th: P 8th: R 9th: T 10th: O

Thus, the alphabet located seventh to the right of the seventeenth alphabet from the right is O.

Explanation

Reversing the last 10 alphabets on the right side affects only positions 26 through 35. Since the first 25 positions from the left remain completely unchanged, the 25th alphabet from the left is simply the 25th letter of the original series.

Counting the letters from the left in groups of 5: Positions 1 to 5: P, Q, O, R, T Positions 6 to 10: S, S, O, S, T Positions 11 to 15: Q, Q, Q, Q, R Positions 16 to 20: O, R, S, T, O Positions 21 to 25: P, P, S, S, Q

The 25th alphabet from the left is Q.

Explanation

To find the count, we check the adjacent characters for each occurrence of P in the given letter series:

The first P is at the very beginning of the series, so it does not have a character on its left side.

The second P appears in the segment OPS, where it is preceded by the vowel O and followed by the consonant S, satisfying the condition of having a vowel on one side and a consonant on the other.

The third P appears in the segment TRP, where it is preceded by the consonant R and followed by a quotation mark, so it is not flanked by a vowel and a consonant.

Thus, exactly 1 P satisfies the given condition.

Explanation

An adjacent P to Q means P is located either immediately before Q (forming PQ) or immediately after Q (forming QP).

Scanning the given letter series to locate every occurrence of Q: PQO: The letter Q is preceded by P, forming the pair PQ. TQQQR: None of the three Qs in this group are adjacent to P. SQOTRP: The Q is between S and O, so it is not adjacent to P. SOTQ: The final Q is preceded by T, so it is not adjacent to P.

Therefore, there is only 1 Q in the series that has a P adjacent to it.

Explanation

Total horizontal displacement to the east = 5 km + 7 km = 12 km. Total vertical displacement to the south = 5 km.

Using the Pythagorean distance formula d = √(Δx² + Δy²): d = √(12² + 5²) = √(144 + 25) = √169 = 13 km.

Explanation

The given series follows the pattern of cubes of consecutive odd numbers:

1³ = 1 3³ = 27 5³ = 125 7³ = 343

Following this pattern, the next term is the cube of the next odd number, 9:

9³ = 729

Explanation

The pattern in the series follows the sum of squares of consecutive pairs of integers starting from 1:

1² + 2² = 1 + 4 = 5 3² + 4² = 9 + 16 = 25 5² + 6² = 25 + 36 = 61 7² + 8² = 49 + 64 = 113 9² + 10² = 81 + 100 = 181

Alternatively, observing the differences between consecutive terms: 25 - 5 = 20 61 - 25 = 36 113 - 61 = 52

The differences increase by 16 each time (20, 36, 52). The next difference is 52 + 16 = 68. Therefore, the missing term is 113 + 68 = 181.

Explanation

Let total work = 240 units (LCM of 80 and 120). Daily work rate of A = 240 / 80 = 3 units/day. Daily work rate of B = 240 / 120 = 2 units/day.

Work done by A and B together in initial 20 days = 20 × (3 + 2) = 100 units. Work done by B alone in the next 12 days = 12 × 2 = 24 units. Total work completed before C joins = 100 + 24 = 124 units. Remaining work = 240 − 124 = 116 units.

In the remaining 28 days, B completes 28 × 2 = 56 units. Thus, work done by C in 28 days = 116 − 56 = 60 units. Work rate of C = 60 / 28 = 15/7 units/day.

Time required for C to complete the entire work alone = 240 / (15/7) = 240 × 7 / 15 = 112 days.

Explanation

Convert the percentages into their fraction equivalents: 33.33% = ⅓ and 66.66% = ⅔.

Substitute these fraction values into the equation: (⅓ × 150) + (⅔ × 180) = x% × 1700

Simplify the left-hand side: 50 + 120 = 170

Set up the equation to solve for x: 170 = (x / 100) × 1700 170 = 17x x = 10

Explanation

Let the side of the square be a and the radius of the circle be r.

Area of the square = a² Area of the circle = πr²

Since the area of the square is equal to the area of the circle: a² = πr²

Dividing both sides by r²: (a/r)² = π

Taking the square root on both sides: a/r = √π / 1

Thus, the ratio of the side of the square to the radius of the circle is √π : 1.

Explanation

Convert the percentage 5.88% to its equivalent fractional value 1/17 (since 1 ÷ 17 ≈ 0.05882).

5.88% of 85 = (1/17) × 85 = 5

5% of 200 = 0.05 × 200 = 10

Sum = 5 + 10 = 15

Explanation

Let the present age of the son be x years. Then, the present age of the father is 3x years.

After 4 years, the son's age will be x + 4 years, and the father's age will be 3x + 4 years.

According to the given condition: 3x + 4 = 2(x + 4) + 13 3x + 4 = 2x + 8 + 13 3x + 4 = 2x + 21 3x - 2x = 21 - 4 x = 17

Since the son's present age is 17 years, the present age of the father is 3 × 17 = 51 years.

Explanation

Let the marked price be 100. Cost Price = 100 - 40 = 60 Selling Price = 100 + 50 = 150 Profit = 150 - 60 = 90 Profit Percentage = (90 / 60) × 100 = 150%

Explanation

Convert the percentages into standard fractional equivalents: 25% = ¼ and 33.33% = ⅓

Now compute each part directly: ¼ × 400 = 100 ⅓ × 30 = 10

Summing the two values yields 100 + 10 = 110.

Explanation

The pattern in the sequence is given by the formula Tₙ = 11 × n², where n represents the position of the term in the sequence.

For n = 1: 11 × 1² = 11 For n = 2: 11 × 2² = 44 For n = 3: 11 × 3² = 99 For n = 4: 11 × 4² = 176

Following this rule, the 5th term for n = 5 is calculated as 11 × 5² = 11 × 25 = 275.

Explanation

Simple Interest (SI) = (P × R × T) / 100

Substituting the given values P = 1000, R = 20%, and T = 4 years:

SI = (1000 × 20 × 4) / 100 = Rs. 800

Explanation

A right-angled triangle with two equal sides is an isosceles right triangle. Since the hypotenuse is always the longest side, the two equal sides are the base and perpendicular, which intersect at an angle of 90°.

The sum of all interior angles in any triangle is 180°. Subtracting the right angle leaves a sum of 180° - 90° = 90° for the remaining two angles. Because the sides opposite to these angles are equal, the angles themselves are equal.

Dividing the remaining 90° equally between them gives 90° ÷ 2 = 45°. Thus, the three interior angles of the triangle are 90°, 45°, and 45°.

Explanation

Using standard fraction-to-percentage conversions: 7.69% is equivalent to 1/13, and 6.66% is equivalent to 1/15.

Substituting these fraction equivalents into the expression: 7.69% of 130 = (1/13) × 130 = 10 6.66% of 150 = (1/15) × 150 = 10

Summing both values gives 10 + 10 = 20.

Explanation

For successive percentage changes of x% and y%, the net percentage change is given by the formula:

Net % change = x + y + (x × y) / 100

Here, x = +10% for the initial increase and y = -5% for the subsequent decrease.

Substituting these values into the formula: Net % change = 10 + (-5) + (10 × (-5)) / 100 = 5 - (50 / 100) = 5 - 0.5 = +4.5%

Since the final value is positive, it signifies a net increase of 4.5% in the price of the book.

Explanation

Convert the given percentages into their standard fractional equivalents: 11.11% = 1/9 8.33% = 1/12

Substitute these values into the expression: (11.11% of 90) + (8.33% of 120) = (1/9 × 90) + (1/12 × 120) = 10 + 10 = 20

Explanation

Convert the given percentages into their fractional equivalents for rapid calculation: 20% = 1/5 and 7.14% ≈ 1/14.

Substituting these fractions into the expression: (1/5) × 200 + (1/14) × 140 = 40 + 10 = 50

Explanation

Speed of the current is given by the formula:

Speed of current = ½ × (Speed downstream - Speed upstream)

Given that the speed with the current (downstream speed) is 15 kmph and the speed against the current (upstream speed) is 5 kmph, substituting these values into the formula yields:

Speed of current = ½ × (15 - 5) = ½ × 10 = 5 kmph.

Explanation

Travel time without stops = Distance ÷ Speed = 375 ÷ 75 = 5 hours.

Number of en-route stops = (Total Distance ÷ Distance per stop) - 1 = (375 ÷ 125) - 1 = 3 - 1 = 2 stops. The stop at the 375 km mark is the final destination and is not counted as a travel delay.

Total stoppage time = 2 × 5 minutes = 10 minutes.

Total time taken = Travel time + Stoppage time = 5 hours + 10 minutes = 5 hours 10 minutes.

Explanation

Convert the percentage values into their standard fraction equivalents: 16.66% = 1/6 9.09% = 1/11

Substitute these fractions into the given expression: (1/6 × 600) + (1/11 × 110) = 100 + 10 = 110

Explanation

3.44% of 290 = 9.976 20% of 580 = 116 Sum = 9.976 + 116 = 125.976 ≈ 126 Let the required percentage be x. (x / 100) × 630 = 126 x = (126 × 100) / 630 = 20

Explanation

The word JOKE contains 2 consonants (J, K) and 2 vowels (O, E). To alternate vowels and consonants, two structural patterns are possible: Consonant - Vowel - Consonant - Vowel = 2 × 2 × 1 × 1 = 4 Vowel - Consonant - Vowel - Consonant = 2 × 2 × 1 × 1 = 4 Total words = 4 + 4 = 8

Explanation

Read the female column for the two required regions. Region A contributed 72 female participants and region C contributed 240.

Females from A and C together = 72 + 240 = 312.

Explanation

Compare the female column across all six regions: A 72, B 156, C 240, D 224, E 172 and F 336.

The largest value is 336, recorded by region F, so F had the maximum female participation.

Explanation

Compute 60% of the male count for each region and compare it with the female count.

A: 60% of 168 = 100.8, and 72 < 100.8 - yes B: 60% of 264 = 158.4, and 156 < 158.4 - yes C: 60% of 540 = 324, and 240 < 324 - yes D: 60% of 336 = 201.6, and 224 > 201.6 - no E: 60% of 468 = 280.8, and 172 < 280.8 - yes F: 60% of 384 = 230.4, and 336 > 230.4 - no

The condition holds for A, B, C and E, giving 4 regions.

Explanation

Using the work equivalence relation (P₁ × T₁) / W₁ = (P₂ × T₂) / W₂, where P represents the number of pipes, T represents time in hours, and W represents work done in buckets:

(3 × 3) / 3 = (2 × 2) / W₂

3 = 4 / W₂

W₂ = 4/3 buckets

Explanation

The LCM of fractions is calculated using the standard formula: LCM of fractions = LCM of numerators / HCF of denominators

For the fractions 2/3, 4/7, and 1/4: LCM of numerators (2, 4, 1) = 4 HCF of denominators (3, 7, 4) = 1

Applying the formula: 4 / 1 = 4.

Explanation

Profit ratio equals the product of investment and time duration. Gopi invested Rs. 48000 for the full 24 months, while Raghav joined 2 months later and invested Rs. 42000 for 22 months.

Profit ratio (Gopi : Raghav) = (48000 × 24) : (42000 × 22) = (48 × 24) : (42 × 22) = 96 : 77.

Total ratio parts = 96 + 77 = 173 parts.

Raghav's share = (77 / 173) × Rs. 41520 = 77 × Rs. 240 = Rs. 18480.

Explanation

Converting the percentage values to their corresponding fractional equivalents: 12.5% = 1/8 11.11% = 1/9

Substituting these values into the expression yields: (1/8) × 64 + (1/9) × 90 = 8 + 10 = 18.

Explanation

Convert the percentage values to their standard fractional equivalents: 5.26% ≈ 1/19 5.88% ≈ 1/17

Substitute these fractions into the expression: 5.26% of 95 = (1/19) × 95 = 5 5.88% of 170 = (1/17) × 170 = 10

Adding both terms yields: 5 + 10 = 15

Explanation

The n-th term of the sequence follows the formula Tₙ = n(n + 1) = n² + n. Substituting n = 1, 2, 3, 4, 5 gives the terms 2, 6, 12, 20, 30. For the 6th term, T₆ = 6² + 6 = 36 + 6 = 42.

Alternatively, the differences between consecutive terms increase by 2 each time (+4, +6, +8, +10). Adding the next difference of 12 to 30 yields 30 + 12 = 42.

Explanation

The given series follows the pattern of squares of consecutive natural numbers starting from 4:

4² = 16 5² = 25 6² = 36 7² = 49 8² = 64

Each consecutive term in the sequence is obtained by squaring the next integer in increasing order (4, 5, 6, 7, 8). Following this established pattern, the missing term is the square of the next natural number, which is 9² = 81.

Explanation

Profit = Principal × Net Interest Margin × Time ÷ 100

Net Interest Margin = 6% - 5% = 1% per annum Time = 2½ years = 2.5 years Principal = Rs. 2000

Profit = (2000 × 1 × 2.5) ÷ 100 = Rs. 50

The person earns a net rate of 1% per annum on the borrowed amount of Rs. 2000, resulting in a total gain of Rs. 50 over 2.5 years.