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15 minutes SSC Maths Set

This published practice set contains 26 questions for competitive-exam preparation. Preview a few questions below, then start the full quiz to record your attempt. Answers and detailed explanations remain inside the submitted-attempt workflow so the preview does not reveal the solution before practice.

Sample Questions from 15 minutes SSC Maths Set

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Q1. If a + b + c = 10, ab + bc + ca = 31 and abc = 30, find a³ + b³ + c³.

यदि a + b + c = 10, ab + bc + ca = 31 और abc = 30 है, तो a³ + b³ + c³ ज्ञात कीजिए।

A. 140
140
B. 150
150
C. 160
160
D. 170
170

Q2. If α and β are roots of x² − 7x + 10 = 0, find the equation whose roots are α² and β².

यदि x² − 7x + 10 = 0 के मूल α और β हैं, तो α² और β² मूलों वाला समीकरण ज्ञात कीजिए।

A. x² − 29x + 100 = 0
x² − 29x + 100 = 0
B. x² − 49x + 100 = 0
x² − 49x + 100 = 0
C. x² − 14x + 100 = 0
x² − 14x + 100 = 0
D. x² − 29x + 10 = 0
x² − 29x + 10 = 0

Q3. Find the least positive integer N such that N ≡ 2 (mod 5), N ≡ 4 (mod 7), and N ≡ 6 (mod 11).

सबसे छोटी धनात्मक संख्या N ज्ञात कीजिए जिसके लिए N ≡ 2 (mod 5), N ≡ 4 (mod 7), और N ≡ 6 (mod 11) हो।

A. 257
257
B. 312
312
C. 347
347
D. 382
382

Q4. Find the equation of the circle whose diameter endpoints are (4,-5) and (-2,7).

उस वृत्त का समीकरण ज्ञात कीजिए जिसके व्यास के अंतिम बिंदु (4,-5) और (-2,7) हैं।

A. x² + y² − 2x − 2y − 43 = 0
x² + y² − 2x − 2y − 43 = 0
B. x² + y² + 2x − 2y − 43 = 0
x² + y² + 2x − 2y − 43 = 0
C. x² + y² − 2x + 2y − 43 = 0
x² + y² − 2x + 2y − 43 = 0
D. x² + y² − 4x − 2y − 43 = 0
x² + y² − 4x − 2y − 43 = 0

Q5. Four dice are thrown. Find the probability of getting exactly two sixes.

चार पासे फेंके जाते हैं। ठीक दो पासों पर 6 आने की प्रायिकता ज्ञात कीजिए।

A. 25/216
25/216
B. 5/54
5/54
C. 25/1296
25/1296
D. 125/216
125/216

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