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Q1Maths · Mensuration 3DSSC CHSL 2025 · SSC_CHSL_13Nov2025_Shift2_Maths.VERIFIED
The total surface area of a solid hemisphere is 300π cm². Find its volume.
एक ठोस अर्धगोले का कुल पृष्ठीय क्षेत्रफल 300π सेमी² है। इसका आयतन ज्ञात कीजिए।
Answer: D) 2000/3 π cm³2000/3 π सेमी³
TSA of solid hemisphere = 3πr² = 300π
r² = 100
r = 10 cm
Volume = (2/3)πr³ = (2/3)π(10)³ = 2000π/3 cm³ठोस अर्धगोले का कुल पृष्ठीय क्षेत्रफल = 3πr² = 300π
r² = 100
r = 10 सेमी
आयतन = (2/3)πr³ = (2/3)π(10)³ = 2000π/3 सेमी³ -
Q2Maths · Mensuration 3DSSC CHSL 2025 · SSC_CHSL_28Nov2025_Shift2_Maths.VERIFIED
A spherical ball of radius 24 cm is melted and recast into identical hemispheres, each having a radius of 8 cm. Determine the combined curved surface area of all hemispheres.
24 सेमी त्रिज्या वाले एक गोलाकार गोले को पिघलाया जाता है और 8 सेमी त्रिज्या वाले समान अर्धगोलों में ढाला जाता है। सभी अर्धगोलों का कुल वक्र पृष्ठीय क्षेत्रफल ज्ञात कीजिए।
Answer: A) 6912π cm²6912π सेमी²
Volume of sphere = (4/3)π(24)³ = 18432π cm³
Volume of one hemisphere = (2/3)π(8)³ = 1024π/3 cm³
Number of hemispheres = 18432π ÷ (1024π/3) = 54
CSA of one hemisphere = 2πr² = 2π(8)² = 128π cm²
Total CSA = 54 × 128π = 6912π cm²गोले का आयतन = (4/3)π(24)³ = 18432π सेमी³
एक अर्धगोले का आयतन = (2/3)π(8)³ = 1024π/3 सेमी³
अर्धगोलों की संख्या = 18432π ÷ (1024π/3) = 54
एक अर्धगोले का वक्र पृष्ठीय क्षेत्रफल (CSA) = 2πr² = 2π(8)² = 128π सेमी²
कुल वक्र पृष्ठीय क्षेत्रफल (CSA) = 54 × 128π = 6912π सेमी² -
Q3Maths · Coordinate GeometrySSC Selection Post Ph-14 2026 · Graduate Level · 18 Sep 2026 · Q53
Which of the following lines passes through the origin and forms a 90° angle with the line whose angle of inclination is 30°?
निम्न में से कौन-सी रेखा मूलबिंदु से होकर गुजरती है और उस रेखा के साथ 90° का कोण बनाती है जिसकी झुकाव कोण 30° है?
Answer: D) y = −tan(60°)·xy = −tan(60°)·x
#IMG /home/claude/sp14/fig/G18/q053.png|7
Concept — slope = tan(inclination); perpendicular lines have m₁ × m₂ = −1.
A line through the origin is y = mx.
Step 1 — slope of the given line.
m₁ = tan 30° = 1/√3
Step 2 — slope of the perpendicular.
m₂ = −1 ÷ m₁ = −1 ÷ (1/√3) = −√3
Step 3 — write −√3 as a tangent.
tan 60° = √3, so m₂ = −tan 60°
(Equivalently, the inclination is 30° + 90° = 120°, and tan 120° = −tan 60°.)
Step 4 — the line.
y = −tan(60°)·x
Answer: y = −tan(60°)·x
Perpendicular means "negative reciprocal" — flip the slope and change its sign.⟦TIMG1⟧
अवधारणा — ढाल (slope) = tan(झुकाव कोण); लंबवत रेखाओं के लिए m₁ × m₂ = −1।
मूलबिंदु से होकर जाने वाली रेखा y = mx होती है।
चरण 1 — दी गई रेखा का ढाल।
m₁ = tan 30° = 1/√3
चरण 2 — लंबवत रेखा का ढाल।
m₂ = −1 ÷ m₁ = −1 ÷ (1/√3) = −√3
चरण 3 — −√3 को tan के रूप में लिखें।
tan 60° = √3, अतः m₂ = −tan 60°
(इसी प्रकार, झुकाव कोण 30° + 90° = 120° है, और tan 120° = −tan 60°।)
चरण 4 — रेखा।
y = −tan(60°)·x
उत्तर: y = −tan(60°)·x
लंबवत का अर्थ है "ऋणात्मक व्युत्क्रम" — ढाल को उलटें और उसका चिह्न बदलें। -
Q4Reasoning · SeriesSSC Selection Post Ph-14 2026 · Matriculation - 21 Sep 2026 Shift 3
Select the number that will come next in the following series.
1, 1, 2, 3, 5, 8, ?Answer: C) 13
Rule: when the differences repeat the series itself, each term is the sum of the two terms before it (Fibonacci series).
Test the pattern.
1 + 1 = 2
1 + 2 = 3
2 + 3 = 5
3 + 5 = 8
Next term.
5 + 8 = 13
Answer: 13
1, 1, 2, 3, 5, 8, 13, 21 … — the Fibonacci series is worth knowing by heart. -
Q5Reasoning · SeriesSSC Selection Post Ph-14 2026 · Matriculation - 22 Sep 2026 Shift 3
Select the number that will come next in the following series.
50, 45, 40, 35, ?Answer: C) 30
Rule: start every number series by writing the differences between consecutive terms.
Differences.
50 → 45 → 40 → 35
Each step is −5.
Next term.
35 − 5 = 30
Answer: 30
An arithmetic progression — a fixed gap each time. -
Q6Reasoning · Blood RelationSSC Selection Post Ph-14 2026 · Matriculation - 16 Sep 2026 Shift 3
In a certain code language, 'A @ B' means 'A is the brother of B', 'A # B' means 'A is the wife of B', 'A $ B' means 'A is the son of B' and 'A % B' means 'A is the father of B'. How is L related to O in the expression 'L @ M # N % O'?
Answer: A) Maternal Uncle
#IMG /home/claude/sp14/fig/M16/q010.png|7
Rule: decode the expression one symbol at a time, left to right, and draw each link as you go.
Decode.
L @ M → L is the brother of M
M # N → M is the wife of N
N % O → N is the father of O
Read the tree.
N is O's father and M is N's wife, so M is O's mother.
L is the brother of O's mother.
Answer: Maternal Uncle
A mother's brother is the maternal uncle (mama); a father's brother is the paternal uncle (chacha/tau). -
Q7English · Direct & Indirect SpeechSSC CPO 2025 T-1 · 12-Dec-2025 Shift 2
Choose the correct direct sentence of the following sentence.
He said that the lights had gone off during the storm.Answer: C) He said, "The lights went off during the storm."
Answer as per official answer key: Option 2 — He said, "The lights had gone off during the storm."
⚠ CONFLICT NOTE: By the standard grammar rule, 'had gone' in reported speech (Past Perfect) should revert to 'have gone' (Present Perfect) in direct speech — making Option 4 the expected answer.
However, the official answer key marks Option 2 as correct. The key's reasoning: if the original statement was already in Past Perfect ('The lights had gone off'), this tense does not change when reported. Converting back to direct speech retains 'had gone off'.
Note: The candidate selected Option 4 ('have gone') — which is the answer by standard backshifting reversal rules. But the answer key does not accept this.
For SSC exam purposes, follow the official answer key.
Correct answer (per key): Option 2 — He said, "The lights had gone off during the storm." -
Q8English · Fill in the BlanksSSC CGL 2024 T-2 · 20 Jan
Select the most appropriate article to fill in the blank.
Rabindranath Tagore, ____ poet, was famous for his poetical work, Gitanjali.
(SSC CGL 2024 T-2 (20 Jan))Answer: B) the
Explanation:
1. "a" is used when you're introducing or referring to one of many things (in this case, one poet among many poets).
2. "the" is used when you're referring to something specific or when the noun is well-known or has been previously mentioned.
Since Rabindranath Tagore is a famous poet and the sentence is describing his well-known identity as a poet, the definite article "the" is correct in this context.
Complete sentence:
"Rabindranath Tagore, the poet, was famous for his poetical work, Gitanjali."
Thus, Option 2 is the right answer. -
Q9Current AffairsRBE current affairs · 7 November 2026
Who became the first South Asian woman elected to the Illinois General Assembly, winning from the 84th District in the November 2026 US mid-term elections?
नवंबर 2026 के अमेरिकी मध्यावधि चुनावों में 84वें जिले से जीतकर इलिनोइस जनरल असेंबली के लिए चुनी जाने वाली पहली दक्षिण एशियाई महिला कौन बनीं?
Answer: C) Saba Haiderसबा हैदर
India-born Democrat Saba Haider won the Illinois House of Representatives seat from the 84th District with 70.9% votes in November 2026. She is the first South Asian woman elected to the Illinois General Assembly. Her family hails from Bulandshahr district in Uttar Pradesh, and she is an alumnus of Aligarh Muslim University.भारत में जन्मी डेमोक्रेट सबा हैदर ने नवंबर 2026 में 84वें जिले से 70.9% वोटों के साथ इलिनोइस प्रतिनिधि सभा की सीट जीती। वे इलिनोइस जनरल असेंबली के लिए चुनी जाने वाली पहली दक्षिण एशियाई महिला हैं। उनका परिवार उत्तर प्रदेश के बुलंदशहर जिले से है, और वे अलीगढ़ मुस्लिम विश्वविद्यालय की पूर्व छात्रा हैं। -
Q10Current AffairsRBE current affairs · 7 November 2026
A November 2026 ICAR-CMFRI study comparing satellite images of 2017 and 2026 found an overall rise in mangrove cover in which state, despite a nearly 90% loss over five decades?
नवंबर 2026 के आईसीएआर-सीएमएफआरआई अध्ययन में 2017 और 2026 की उपग्रह छवियों की तुलना करने पर, पिछले पांच दशकों में लगभग 90% नुकसान के बावजूद किस राज्य में मैंग्रोव आवरण में समग्र वृद्धि पाई गई?
Answer: A) Keralaकेरल
The ICAR-Central Marine Fisheries Research Institute (CMFRI) study found Kerala's mangrove cover rose overall between 2017 and 2026. This came despite Kerala losing nearly 90% of its mangroves over the past five decades. The study was presented at an international symposium on fisheries and remote sensing hosted by CMFRI, Kochi.आईसीएआर-केंद्रीय समुद्री मात्स्यिकी अनुसंधान संस्थान (सीएमएफआरआई) के अध्ययन में पाया गया कि 2017 और 2026 के बीच केरल के मैंग्रोव आवरण में समग्र रूप से वृद्धि हुई। यह इस तथ्य के बावजूद है कि केरल ने पिछले पांच दशकों में अपने लगभग 90% मैंग्रोव खो दिए। यह अध्ययन सीएमएफआरआई, कोच्चि द्वारा आयोजित मात्स्यिकी और रिमोट सेंसिंग पर एक अंतरराष्ट्रीय संगोष्ठी में प्रस्तुत किया गया था।
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