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Q1. SSC CGL 2024 (Shift 2) • 15 Aug 2024
If x + 1/x = 5, then what is the value of x³ + 1/x³?
💡 Explanation
Correct Answer: A (110)
Given: x + 1/x = 5
Using the identity: (a + b)³ = a³ + b³ + 3ab(a + b)
(x + 1/x)³ = x³ + 1/x³ + 3(x)(1/x)(x + 1/x)
5³ = x³ + 1/x³ + 3(5)
125 = x³ + 1/x³ + 15
x³ + 1/x³ = 125 - 15 = 110
Given: x + 1/x = 5
Using the identity: (a + b)³ = a³ + b³ + 3ab(a + b)
(x + 1/x)³ = x³ + 1/x³ + 3(x)(1/x)(x + 1/x)
5³ = x³ + 1/x³ + 3(5)
125 = x³ + 1/x³ + 15
x³ + 1/x³ = 125 - 15 = 110
📚 Similar Questions (3)
SSC CGL 2023, SSC CHSL 2024, IBPS PO 2023
Hard
Q2. UPSC Prelims 2023 • GS Paper I
Which of the following Fundamental Rights in the Indian Constitution is available only to citizens and not to foreigners?
💡 Explanation
Correct Answer: C (Freedom of Speech and Expression)
Article 19 of the Indian Constitution guarantees six freedoms under Right to Freedom. However, these freedoms are available only to citizens of India, not to foreigners.
- Right to Equality (Articles 14-18): Available to all persons
- Right to Freedom of Religion (Articles 25-28): Available to all persons
- Right to Constitutional Remedies (Article 32): Available to all persons
- Freedom of Speech (Article 19): Available only to citizens
Article 19 of the Indian Constitution guarantees six freedoms under Right to Freedom. However, these freedoms are available only to citizens of India, not to foreigners.
- Right to Equality (Articles 14-18): Available to all persons
- Right to Freedom of Religion (Articles 25-28): Available to all persons
- Right to Constitutional Remedies (Article 32): Available to all persons
- Freedom of Speech (Article 19): Available only to citizens
Easy
Q3. IBPS PO 2024 (Prelims) • 23 Sep 2024
In a row of 45 students, Rahul is 18th from the left end and Priya is 22nd from the right end. How many students are there between Rahul and Priya?
💡 Explanation
Correct Answer: A (5)
Total students = 45
Rahul's position from left = 18th
Priya's position from right = 22nd
Priya's position from left = 45 - 22 + 1 = 24th
Students between Rahul and Priya = 24 - 18 - 1 = 5 students
Total students = 45
Rahul's position from left = 18th
Priya's position from right = 22nd
Priya's position from left = 45 - 22 + 1 = 24th
Students between Rahul and Priya = 24 - 18 - 1 = 5 students