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- Question
- From each of two given numbers, half the smaller number is subtracted. After such subtraction, the larger number is 4 times as large as the smaller number. What is the ratio of the numbers?
Options- A. 5 : 2
- B. 1 : 4
- C. 4 : 1
- D. 4 : 5
- Correct Answer
- 5 : 2
ExplanationLet the smaller number = M and the greater number = N
According to the question ,
(N - M/2) = 4(M - M/2)
? N - M/2 = 4M/2
? N = 2M + M/2
? N = 5M/2
? N : M = 5 : 2 - 1. Ganesh invested an amount of Rs x in a fixed deposit scheme offering 5% per annum for 1st year and 15% per annum for 2nd year and received an amount of Rs 9660 after two years. What is the value of x (in Rs)?
Options- A. 9000
- B. 8000
- C. 8500
- D. 8200 Discuss
- 2. If 2x + 6y = 3xy and 10x - 3y = 4xy, find x, y.
Options- A. 3, 2
- B. 2, 3
- C. 4, 6
- D. 6, 4 Discuss
- 3. An amount fetched a total simple interest of Rs. 3200 at the rate of 6.25 %/yr in 4 years. What is the amount (in Rs)?
Options- A. 13800
- B. 11800
- C. 12800
- D. 14800 Discuss
- 4. If 2x- 3(4-2x) < 4x - 5 < 4x + 2x/3, then x can take which of the following values?
Options- A. 2
- B. 8
- C. 0
- D. -8 Discuss
- 5. The simple and compound interest that can be earned in two years at the same rate is Rs 1500 and Rs 1575 respectively. What is the rate (% per annum) of interest?
Options- A. 8
- B. 10
- C. 12
- D. 5 Discuss
- 6. If 1/(tanA + cotA) = x, then value of x is
Options- A. cosAsinA
- B. cos2Asin2A
- C. cosecAsecA
- D. cosec2Asec2A Discuss
- 7. The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Rs. 1. The sum (in Rs.) is:
Options- A. 620
- B. 630
- C. 640
- D. 625 Discuss
- 8. P(4,2) and R(-2,0) are vertices of a rhombus PQRS. What is the equation of diagonal QS.
Options- A. x - 3y = -2
- B. 3x + y = 4
- C. 3x + y = -4
- D. x - 3y = 2 Discuss
- 9. The sum of money that will yield Rs. 60 as simple interest at 6% per annum in 5 years is
Options- A. 200
- B. 225
- C. 175
- D. 300 Discuss
- 10. If a ? b = 11 and ab = 24, then value of a2 + b2 is
Options- A. 169
- B. 37
- C. 73
- D. 48 Discuss
More questions
Correct Answer: 8000
Correct Answer: 3, 2
Correct Answer: 12800
Correct Answer: 0
Correct Answer: 10
Correct Answer: cosAsinA
Correct Answer: 625
Correct Answer: 3x + y = 4
Correct Answer: 200
Correct Answer: 169
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