CAT 2025 Slot 3 Question Paper with Solutions – Page 2
All 64 questions of CAT 2025 Slot 3. Tap Show answer, or open the detailed solution (free login). Page 2 of 17.
The sum of all the digits of the number (10⁵⁰ + 10²⁵ - 123), is
- 212
- 255
- 221
- 324
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Answer: C. 221
The average salary of 5 managers and 25 engineers in a company is Rs 60000. If each of the manager receive 20% hike in the salary while the salary of the engineer remains unchanged , the average salary of all 30 employees increased by 5%.The average salary, of engineer , in rs , is :
- 45000
- 54000
- 50000
- 40000
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Answer: B. 54000
For real values of x, the range of the function f(x) = (2x - 3)/(2x² + 4x - 6)
- (- oo , 1/8] U [1 , oo)
- (-oo , 1/4] U [1/2 , oo)
- (-oo , 1/8] U [1/2 , oo)
- (-oo , 1/4] U [1 , oo)
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Answer: C. (-oo , 1/8] U [1/2 , oo)
f(x) = (x²+ 3x)(x² + 3x + 2), then the sum of all real roots of the equation √f(x) + 1 = 9701, is
- 3
- 6
- -3
- -6
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Answer: C. -3
If (x²+ 1/x²) = 25 and x > 0, then the value of (x⁷ + 1/x⁷) is:
- 44856√3
- 44853√3
- 44859√3
- 44850√3
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Answer: B. 44853√3