Simplification problems
- 1. Solve this inequality 3p - 16 < 20?
Options- A. p >= 12
- B. p <= 11/3
- C. p < 12
- D. p > 11/3 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: p < 12
Explanation:
The given inequality is 3p - 16 < 20
For solving this inequality, follow these steps
Now add 16 on both sides
we get 3p - 16 + 16 < 20 + 16
=> 3p < 36
Now divide the above eqn with 3 on both sides
we get, 3p/3 < 36/3
p < 12.
- 2. 10+10(9) =
Options- A. 180
- B. 110
- C. 100
- D. 19 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 100
Explanation:
According to BODMAS Rule,
10 + 10(9)
= 10 + 90
= 100
- 3. If sin?+cosec?=2, the value of sinn?+cosecn? is
Options- A. 2
- B. 0
- C. 1
- D. 1/n Also asked in: Bank Exams
Correct Answer: 2
- 4. In an examination, a student scores 4 marks for every correct answer and loses I mark for every wrong answer. If he attempts in all 60 questions and secures 130 marks, the number of questions he attempts correctly, is:
Options- A. 35
- B. 38
- C. 40
- D. 42 Discuss
Correct Answer: 38
Explanation:
Let the number of correct answers be X.
Number of incorrect answers = (60 ? X).
Therefore, 4x ? (60 ? x) = 130
=> 5x = 190 => x = 38
- 5. 43% of 616.6 + 37% of 217 =?
Options- A. 345.428
- B. 354.428
- C. 344.428
- D. 364.428 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 345.428
Explanation:
43 x 616.6/100 + 37 x 217/100
=> 265.138 + 80.29
=> 345.428
- 6. Simplify the following equation ? 2003 x 2004 - 2001 x 2002 = ?
Options- A. 8010
- B. 8020
- C. 8030
- D. 8040 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 8010
Explanation:
(2000 + 3)(2000 + 4) - (2000 + 1)(2000 + 2) = ?
Since (2000 x 2000) - (2000 x 2000) is equal to zero. ?
= (8000 + 6000 + 12) - (4000 + 2000 + 2)
=> 14012 - 6002 = 8010.
- 7. The difference between two numbers is 1146. When we divide the larger number by smaller we get 4 as quotient and 6 as remainder. Find the larger number
Options- A. 1526
- B. 1431
- C. 1485
- D. 1234 Also asked in: GATE, Bank Exams, Bank PO, Bank Clerk
Correct Answer: 1526
- 8. If a= x13y13+x-13y-13 then a3-3ay-x is equal to
Options- A. y^2x
- B. x^2y
- C. a^2x
- D. a^2y Also asked in: Bank Exams
Correct Answer: y^2x
- 9. If x(2x + 3) = 90 and 7y-1/2+ 2y-1/2= y1/2 (x and y are positive numbers), then what is the value of x2+ y2 ?
Options- A. 45
- B. 109
- C. 117
- D. 126 Also asked in: Bank Exams
Correct Answer: 117
- 10. If a3+ b3 = 341 and ab = 30, then what is the value of a + b?
Options- A. 1
- B. 9
- C. 7
- D. 11 Discuss
Correct Answer: 11
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