Simplification problems
- 1. If x + y = 12 and xy = 32, then what is the value of x2 + y2 ?
Options- A. 24
- B. 144
- C. 128
- D. 80 Also asked in: Bank Exams
Correct Answer: 80
- 2. If cosC + cosD = x, then value of x is
Options- A. 2cos[(C+D)/2]cos[(C-D)/2]
- B. 2sin[(C+D)/2]sin[(C-D)/2]
- C. 2cos[(C+D)/2]sin[(C-D)/2]
- D. 2sin[(C+D)/2]cos[(C-D)/2] Also asked in: Bank Exams
Correct Answer: 2cos[(C+D)/2]cos[(C-D)/2]
- 3. What is the value of cosec -150°?
Options- A. -2
- B. 2/?3
- C. 2
- D. -2/?3 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: -2
- 4. If tanA - cotA = x, then value of x is?
Options- A. (1 + 2cos2A)/(sinA cosA)
- B. (sinA cosA)/(1 - 2cos2A)
- C. (sinA cosA)/(1 + 2cos2A)
- D. (1 - 2cos2A)/(sinA cosA) Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: (1 - 2cos2A)/(sinA cosA)
- 5. Directions: What value should come in place of question mark (?) in the following question? 69÷3×0.85+24.5-13.8=?
Options- A. 31.75
- B. 30.25
- C. 28.95
- D. 35.25 Also asked in: AIEEE, Bank Exams, GATE
Correct Answer: 30.25
Explanation:
= (69x85/3x100) + 10.7
= 30.25.
- 6. Direction: What value should come in place of the question mark (?) in the following question? 534.596 + 61.472 - 496.708 = ? + 27.271
Options- A. 126.631
- B. 62.069
- C. 72.089
- D. 132.788 Also asked in: AIEEE, Bank Exams, GATE
Correct Answer: 72.089
Explanation:
534.596 + 61.472 ? 496.708 = ? + 27.271
596.068 ? 496.708 = ? + 27.271
? = 99.36 ? 27.271
? = 72.089.
- 7. Direction: What will come in place of the question mark (?) in the following question? 504÷42x7-63+28 = ?
Options- A. 72
- B. 48
- C. 62
- D. 38 Also asked in: AIEEE, Bank Exams, GATE
Correct Answer:
Explanation:
504/42 × 7 - 63 + 28 = 84 ? 63 + 28 = 49
Hence option 5 is correct.
- 8. Directions: What value should come in place of question mark (?) in the following question? 150% of 460+24% of 650=?
Options- A. 854
- B. 846
- C. 895
- D. 825 Also asked in: AIEEE, Bank Exams, GATE
Correct Answer: 846
Explanation:
(150 x 460)/100 + (24 x 650)/100
= 690+156
= 846
- 9. Direction: What value should come in place of the question mark (?) in the following question? 12.5×14÷8.75+42=50+?
Options- A. 18
- B. 12
- C. 32
- D. 42 Also asked in: AIEEE, Bank Exams, GATE
Correct Answer: 12
Explanation:
By replacing the ??? with ?x?
(12.5×14÷8.75) x (100/100) + 42 = 50 + X
(125*140)/875 + 42 = 50 + X
140/7 + 42 = 50 + X
20 + 42 = 50 + X
62 = 50 + X
X = 62 - 50
X = 12
- 10. What is the equation of the line passing through the point (-1,3) and having x-intercept of 4 units?
Options- A. 3x - 5y = 12
- B. 3x + 5y = 12
- C. 3x + 5y = -12
- D. 3x - 5y = -12 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 3x + 5y = 12
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