If a % b = a² - b² and a % b = 63, find a and b.
उत्तर देखें और व्याख्या
उत्तर: (C) 8, 1
a² − b² = 63: 8² − 1² = 64 − 1 = 63.
SSC CGL 2025 (12 Sep S3) · 100 प्रश्न। हर प्रश्न हल करके देखें, फिर उसका उत्तर खोलें।
उत्तर: (C) 8, 1
a² − b² = 63: 8² − 1² = 64 − 1 = 63.
उत्तर: (B) Zero
EDUCATION → ACDEINOTU; no letter keeps its position.
उत्तर: (D) D
Letters move +4: Z + 4 = D.
उत्तर: (A) Son
Her father's only daughter is the woman herself, so the boy is her son.
उत्तर: (C) 34
a ⊕ b = ab + a + b: 12+4+3 = 19, 10+5+2 = 17, 24+6+4 = 34.
उत्तर: (A) 7
3x = 21, so x = 7.
उत्तर: (C) REBIF
The word is reversed: FIBER → REBIF.
उत्तर: (B) 0
12 − 4 × 3 = 12 − 12 = 0.
उत्तर: (C) 5 : 25 : 125
Others are x : x² : x⁴; 5 : 25 : 125 is x : x² : x³.
उत्तर: (D) V
Placing everyone by the given clues around the circle, the person asked about is V.
उत्तर: (A) QSU
Each letter moves +4: MOQ → QSU.
उत्तर: (D) 162
Each term × 3: 54 × 3 = 162.
उत्तर: (D) CAREER
CAREER needs two E's and two R's; DEMOCRACY has only one of each.
उत्तर: (B) 188
Differences double (12, 24, 48), so the next is 92 + 96 = 188.
उत्तर: (B) mi
'is' and 'sweet' appear together in both sentences with 'lo' and 'mi', so the code for 'sweet' is not uniquely determinable; the key gives 'mi'. (Flawed question.)
उत्तर: (A) 40, 56
5x + 7x = 96, so x = 8: 40 and 56.
उत्तर: (C) Uncle
A is the brother of C's mother, so A is C's uncle.
उत्तर: (C) *@4#
R = *, O = 4, A = @, D = #, so RAOD = *@4#.
उत्तर: (D) 36
9C2 = 36 matches.
उत्तर: (A) 12 Lake View Rd Anna Nagar Chennai 600040
Option (a) keeps number, street, area, city and PIN; the others change details.
उत्तर: (C) Both I and II
Maintaining quality implies online education affects outcomes and quality control matters, so both assumptions are implicit.
उत्तर: (D) 25
a $ b = ab + a: 24+8 = 32, 24+6 = 30, 20+5 = 25.
उत्तर: (C) 4 - 2 + 5 = 15
4 ÷ 2 × 5 = 10, not 15.
उत्तर: (B) VFKRRO
Each letter +3: SCHOOL → VFKRRO.
उत्तर: (B) 63
Each term ×2 + 1: 31 × 2 + 1 = 63.
उत्तर: (B) Suraksha Shakti mascot
The 'Suraksha Shakti' mascot was unveiled on Electrical Safety Day 2025.
उत्तर: (C) 104th Amendment
The 104th Amendment (2020) ended Anglo-Indian nominations to the Lok Sabha and state assemblies.
उत्तर: (C) Soil pH
Soil pH is a soil property, not an atmospheric weather parameter.
उत्तर: (B) Phamsana – flat slabs sloping upward to a ridge
Phamsana roofs are made of slabs rising gently to a single ridge/point.
उत्तर: (B) Consistent bounce, swing, and equity on uniform pitches
Uniform ball specifications ensure consistent bounce, swing and fairness.
उत्तर: (B) Video recording of confessions
BNSS allows audio-video recording of confessions and other procedures.
उत्तर: (B) 1–2–4–3
As per the key: Bharatanatyam, Kathak, Manipuri, Mohiniyattam. (Dating 'earliest mentions' is debatable.)
उत्तर: (B) Rangkhothak
The Tutsa worship Rangfraa during Pongtu before sowing.
उत्तर: (A) Anthology of contemporary Indian plays addressing societal concerns
'Hot Stage' is an anthology of contemporary Indian plays on social issues.
उत्तर: (C) A true, R false
Iron and steel is a heavy industry, but it uses heavy raw materials (iron ore, coal), not cotton and rubber.
उत्तर: (C) Both 1 and 2
As per the key, both statements about the 61st National Chess Championship are correct.
उत्तर: (A) Both true, R explains A
PSLV's multi-orbit flexibility and reliability explain why it is ISRO's workhorse.
उत्तर: (B) Infrastructure
As per the key, Switzerland led the Infrastructure factor in both years.
उत्तर: (B) Snakes
Kalbelia imitates the movements of snakes.
उत्तर: (A) 1 and 2 only
MISHTI (Budget 2023-24) promotes scientific mangrove plantation; no commercial leasing.
उत्तर: (B) Harvinder Singh
Harvinder Singh won India's first Paralympic archery gold at Paris 2024.
उत्तर: (C) A true, R false
Chotanagpur is drained by the Damodar, Subarnarekha and Koel, not the Chambal and Betwa, so R is false.
उत्तर: (A) Pretoria, South Africa
The 4 June 2018 BRICS FMs' meeting was in Pretoria.
उत्तर: (A) Presidential Order under Article 370(3)
Special status was ended via Presidential Order C.O. 272 and a declaration under Article 370(3).
उत्तर: (B) IPPB
India Post Payments Bank lets postmen deliver banking services at the doorstep.
उत्तर: (C) 9
In Teen Taal (16 beats) the Khali falls on the 9th matra.
उत्तर: (A) 1 month
Article 352: both Houses must approve within one month.
उत्तर: (C) Maharashtra
Maharashtra's Mangrove Cell leads its mangrove conservation.
उत्तर: (C) Abundant and essential for key sectors
India has abundant non-metallic minerals (limestone, mica, etc.) vital to industry.
उत्तर: (A) 2028
The first BAS module is planned for 2028.
उत्तर: (C) 25.3%
He sells 750 g for the price of 1 kg at 94%: 0.94/0.75 = 1.2533, so the profit is ≈ 25.3%.
उत्तर: (D) No loss, No profit
CP = (2400 + 2000)/2 = 2200, so selling at ₹2200 gives no profit, no loss.
उत्तर: (A) 41 cm
l = √(9² + 40²) = √1681 = 41 cm.
उत्तर: (A) 5 : 4 : 16
0.4P = 0.5Q = R/8 = k gives P = 2.5k, Q = 2k, R = 8k, so P : Q : R = 5 : 4 : 16.
उत्तर: (C) 248.6 km
15⅓% of 480 = 73.6; 58⅓% of 300 = 175; total 248.6 km.
उत्तर: (C) ₹56,000
Weekly: 4 × 1200 + 10 × 640 = 11,200; × 5 = ₹56,000.
उत्तर: (C) 16.64%
(1.08)² = 1.1664, a 16.64% increase.
उत्तर: (D) 540 cm³
New height 15 cm; volume 36 × 15 = 540 cm³.
उत्तर: (C) 6√2 cm
(4/3)π6³ = πr² × 4 gives r² = 72, r = 6√2 cm.
उत्तर: (A) 162 km
135 min × 1.2 km = 162 km.
उत्तर: (B) 95/196
In goat-months: X = 225 + 60 = 285; Y = 168 + 135 = 303; X's share = 285/588 = 95/196.
उत्तर: (B) 20.38
(3×17 + 4×19 + 6×23)/13 = 265/13 ≈ 20.38.
उत्तर: (A) 81
975 − 6×69 − 6×80 = 975 − 414 − 480 = 81.
उत्तर: (A) 275
Multiples of 11 from 209 to 341; average = (209 + 341)/2 = 275.
उत्तर: (B) 21.4 kg
Mixture CP = 54/1.2 = ₹45. By alligation 52 : 40 = 5 : 7, so x = 30 × 5/7 ≈ 21.4 kg.
उत्तर: (C) 1.27 : 1
Circle r = 40/π, area = 1600/π ≈ 509.3; square area = 400; ratio ≈ 1.27 : 1.
उत्तर: (A) 0
(5+√3)(5−√3) = 25 − 3 = 22; 22 − 22 = 0. (Question corrected: the source printed '+' between the brackets.)
उत्तर: (B) 2.4% increase
3×1.08 + 5×1.04 + 2×0.90 = 10.24 against 10, a 2.4% increase.
उत्तर: (A) ₹40,500
C : D = 140×9 : 180×8 = 7 : 8. Total = 18,900 × 15/7 = ₹40,500.
उत्तर: (C) 48.75%
CP = 0.8Q; SP = 1.4Q × 0.85 = 1.19Q; profit = 1.19/0.8 − 1 = 48.75%.
उत्तर: (A) 14.4%
1.3 × 0.88 = 1.144, a 14.4% profit.
उत्तर: (B) ₹3,000
1.5 × 0.8C − 120 = 1.16C gives 0.04C = 120, so C = ₹3,000.
उत्तर: (A) 8%
(6000×3 + 4000×2) × r/100 = 2000 gives 260r = 2000, r ≈ 7.7 ≈ 8%.
उत्तर: (B) 1 : 1
5π/6 rad = 150°, so the areas are equal: 1 : 1.
उत्तर: (A) 101/192
In goat-months: M = 48 cow-months (= 112 goat-months) + 90 = 202; N = 182; M's share = 202/384 = 101/192.
उत्तर: (B) Uninformed
Polymathic (widely learned) is the opposite of uninformed.
उत्तर: (C) Castigation
Eulogy (praise) is the opposite of castigation (severe criticism).
उत्तर: (A) Someone has claimed that employees were disclosing important data within the firm.
The passive 'It has been claimed' becomes 'Someone has claimed'.
उत्तर: (D) 4-1-3-2
The logical sequence per the key is 4-1-3-2.
उत्तर: (A) “Due dates must be met strictly,” said the manager.
Reporting a statement: "Due dates must be met strictly," said the manager.
उत्तर: (A) Bailey presented the findings on Norman fortifications at the seminar.
Option (a) uses 'Bailey' as a person's name; the others use bailey as a castle courtyard.
उत्तर: (B) Prioritizing agreement over evaluation
Groupthink is putting consensus above critical evaluation.
उत्तर: (C) Instinct for tribal belonging and safety
The passage links conformity to an evolved instinct for tribal belonging and safety.
उत्तर: (B) Challenger space shuttle disaster
The Challenger disaster is cited as a groupthink outcome.
उत्तर: (C) By creating curated echo chambers
Digital platforms build curated echo chambers.
उत्तर: (C) Encouraging constructive dissent
The passage recommends encouraging constructive dissent.
उत्तर: (C) where he is staying
An embedded question uses statement order: 'where he is staying'.
उत्तर: (C) To become suddenly angry
'Blow a fuse' means to suddenly become very angry.
उत्तर: (A) quell
'Quell' means to suppress dissent.
उत्तर: (A) demanded that I swallow the medication
'Demand' takes a that-clause: 'demanded that I swallow...'.
उत्तर: (A) 2, 1, 3, 4
The general statement (2) comes first, followed by the influences (1) and details (3, 4).
उत्तर: (D) (4)
Parallel nouns require 'avoidance of early disclosure'.
उत्तर: (B) (2)
The singular subject 'focus' needs 'ignores'.
उत्तर: (A) Vague
Amorphous means shapeless or vague.
उत्तर: (C) Trisomy
The correct spelling is 'trisomy'.
उत्तर: (B) were
Inversion with a plural subject in past context: 'So fragile were the talks'.
उत्तर: (B) more
'More than impressive' means exceeding impressive.
उत्तर: (B) He said that he was not feeling fine.
'am' shifts to 'was' in reported speech.
उत्तर: (D) Desuetude
Desuetude means a state of disuse.
उत्तर: (D) Why were the major stylistic irregularities disregarded by the editor?
'Why did ... disregard' becomes 'Why were ... disregarded by the editor?'.