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15 Minutes SSC CGL 2026 Maths Set 8

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Sample Questions from 15 Minutes SSC CGL 2026 Maths Set 8

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Q1. If a + b + c = 6, ab + bc + ca = -7 and abc = -60, find a³ + b³ + c³.

यदि a + b + c = 6, ab + bc + ca = -7 और abc = -60 है, तो a³ + b³ + c³ ज्ञात कीजिए।

A. 144
144
B. 156
156
C. 162
162
D. 174
174

Q2. If α and β are roots of x² − 9x + 14 = 0, find α³β² + α²β³.

यदि x² − 9x + 14 = 0 के मूल α और β हैं, तो α³β² + α²β³ ज्ञात कीजिए।

A. 1470
1470
B. 1764
1764
C. 1960
1960
D. 2058
2058

Q3. Find the least positive integer N such that N ≡ 4 (mod 7), N ≡ 5 (mod 11), and N ≡ 6 (mod 13).

सबसे छोटी धनात्मक संख्या N ज्ञात कीजिए जिसके लिए N ≡ 4 (mod 7), N ≡ 5 (mod 11), और N ≡ 6 (mod 13) हो।

A. 154
154
B. 184
184
C. 214
214
D. 244
244

Q4. Find the equation of the circle whose diameter endpoints are (-3,8) and (7,-2).

उस वृत्त का समीकरण ज्ञात कीजिए जिसके व्यास के अंतिम बिंदु (-3,8) और (7,-2) हैं।

A. x² + y² − 4x − 6y − 37 = 0
x² + y² − 4x − 6y − 37 = 0
B. x² + y² − 4x + 6y − 37 = 0
x² + y² − 4x + 6y − 37 = 0
C. x² + y² + 4x − 6y − 37 = 0
x² + y² + 4x − 6y − 37 = 0
D. x² + y² − 6x − 4y − 37 = 0
x² + y² − 6x − 4y − 37 = 0

Q5. Five cards are drawn from a standard deck. Find the probability that exactly 2 are kings and exactly 1 is queen.

एक सामान्य ताश की गड्डी से 5 पत्ते निकाले जाते हैं। ठीक 2 पत्ते बादशाह और ठीक 1 पत्ता रानी होने की प्रायिकता ज्ञात कीजिए।

A. 473/54145
473/54145
B. 946/54145
946/54145
C. 473/270725
473/270725
D. 1419/54145
1419/54145

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