Simplification problems
- 1. In the following question, correct the equation by interchanging two signs. 4 x 3 ? 6 ÷ 2 + 7 = 8
Options- A. ? and +
- B. x and ?
- C. ÷ and x
- D. x and + Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: ? and +
- 2. If x = 6+26 , then what is the value of x-1 + 1x-1 ?
Options- A. 2?3
- B. 3?2
- C. 2?2
- D. 3?3 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 2?3
- 3. If a + b + c = 27, then what is the value of (a ? 7)3 + (b ? 9)3 + (c ? 11)3 ? 3(a ? 7)(b ? 9)(c ? 11) ?
Options- A. 0
- B. 9
- C. 27
- D. 3 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 0
- 4. What is the smplified value of Sin2A/1+Cos2A ?
Options- A. tan A
- B. cot A
- C. sin A
- D. cos A Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: tan A
- 5. What is the simplified value of Sec ACot A + Tan A2 ?
Options- A. 1 ? cos2A
- B. 2sin2A
- C. sec2A
- D. 0 Also asked in: CAT, Bank Exams, AIEEE
Correct Answer: 1 ? cos2A
- 6. The mode of the data -3, 4, 0, 4, -2, -5, 1, 7, 10, 5 is
Options- A. 0
- B. 4
- C. -2
- D. 7 Discuss
Correct Answer: 4
- 7. Given that tan(? + 15°) = ?3. Then the value of ? is?
Options- A. 15°
- B. 75°
- C. 45°
- D. 65° Also asked in: Bank Exams
Correct Answer: 45°
- 8. A bag contains 25 paise, 50 paise and 1 Rs coins. There are 220 coinsinall and the total amount in the bag is Rs. 160. If there arethrice as many 1 Rs. coins as there are 25 paise coins, then what is the number of 50 paise coins?
Options- A. 60
- B. 40
- C. 120
- D. 80 Also asked in: Bank Exams
Correct Answer: 60
Explanation:
Let there be x one rupee coin, y 50 paise coin, z 25 paise coinx + y + z = 220......(i)
Total amount = 160
Now, x + (y/2) + z = 160 ......(ii)
?4x + 2y + z = 640
Thrice as many 1 re coin as 25 paise
?x = 3z ......(iii)
On solving equation (i), (ii) and (iii), we get
z = 40x= 3* 40 = 120y = 220 ?(120 + 40 ) = 60
So, 50 paise coin =60
- 9. Simplify : 69 X 69 X 69 -65 X 65 X 669 X 69 + 69 X 65 + 65 X 65
Options- A. 1
- B. 4
- C. 0.216
- D. 0.164 Also asked in: Bank Exams
Correct Answer: 4
Explanation:
69 ?65 = 4
69
?
65 = 4
- 10. If a+bab=21 , then the value of (a-b) is
Options- A. 1
- B. 0
- C. -1
- D. 2 Also asked in: Bank Exams
Correct Answer: 0
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