Home › Questions › Math › Algebra

RailwaysSSCMathAlgebraMedium

Algebra practice question for Railways, SSC. Review the correct answer and explanation, then continue with related practice below.

Question language / प्रश्न भाषा

Question

प्रश्न: If x + y = 14 and x − y = 6, find xy. यदि x + y = 14 तथा x − y = 6 है, तो xy का मान ज्ञात कीजिए।

Answer and explanation are free to read — no sign-in required.उत्तर और व्याख्या पढ़ने के लिए साइन-इन आवश्यक नहीं है।

A

36 / 36

B

40 / 40

✓

C

42 / 42

D

44 / 44

Correct Answerसही उत्तर

B. 40 / 40

Explanationव्याख्या

(x + y)^2 − (x − y)^2 = 4xy 14^2 − 6^2 = 4xy 196 − 36 = 4xy xy = 40. (x + y)^2 − (x − y)^2 = 4xy 14^2 − 6^2 = 4xy 160 = 4xy अतः xy = 40.

Practice More Like This

Vitorr selects questions using the same topic, subject, exam and overlapping concepts—not just database order.

Start 10-Question Related Practice →View All Algebra Questions

Question (x + y).प्रश्न: If x + y = 12 and xy = 27, find (x^3 + y^3) यदि x + y = 12 तथा xy = 27 है, तो (x^3 + y^3) (x + y) का मान ज्ञात कीजिए।Same topic · Same subject · Same exam

Questionप्रश्न: If a − b = 5 and ab = 6, find a^3 − b^3. यदि a − b = 5 तथा ab = 6 है, तो a^3 − b^3 का मान ज्ञात कीजिए।Same topic · Same subject · Same exam

Question x = 3, find x^4 + 1 x^4.प्रश्न: If x − 1 यदि x − 1 x = 3 है, तो x^4 + 1 x^4 का मान ज्ञात कीजिए।Same topic · Same subject · Same exam

Question a = 3, find a^4 + 1 a^4.प्रश्न: If a + 1 यदि a + 1 a = 3 है, तो a^4 + 1 a^4 का मान ज्ञात कीजिए।Same topic · Same subject · Same exam

Questionप्रश्न: If x + y = 8 and xy = 12, find x^4 + y^4. यदि x + y = 8 तथा xy = 12 है, तो x^4 + y^4 का मान ज्ञात कीजिए।Same topic · Same subject · Same exam

Questionप्रश्न: If a + b = 10 and ab = 16, find a^4 + b^4. यदि a + b = 10 तथा ab = 16 है, तो a^4 + b^4 का मान ज्ञात कीजिए।Same topic · Same subject · Same exam

Related Quizzes

Continue with quizzes connected to Algebra and Math. Sign up is required only when you start a quiz.

SSC CGL Tough Mathematics Practice Set 2- 25 Questions , 15 mins setOpen quiz →Ultra Tough SSC CGL Maths Set 4 |Open quiz →UPSC CSAT 2027 Tough Practice Quiz Set 020 – Advanced DI, Mathematics, Probability & Logical ReasoningOpen quiz →UPSC CSAT 2027 Tough Practice Quiz Set 018 – Advanced Mathematics, DI, Probability & Analytical ReasoningOpen quiz →

Related Study Material

10th July 2026 30 math Practice Questions for SSC and RAILWAY Exams | Bilingual Practice Set by VITORR CLASSESRead study article →Mathematics / गणित Surds and Indices Complete Notes करणी एवं घातांक सम्पूर्ण नोट्सRead study article →Mathematics Practice Set — 30 Questions गणित अभ्यास सेट — 30 प्रश्नRead study article →