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- Question
- If the numerator of a certain fraction is increased by 2 and the denominator is increased by 1, then the resulting fraction is equal to the 1/2. If how ever the numerator is increased by 1, then denominator is decreased by 2, then the resulting fraction is equal to 3/5. Find the original fraction?
Options- A. 2/7
- B. 3/5
- C. 1/7
- D. 2/5
- Correct Answer
- 2/7
ExplanationLet the fraction be x / y.
According to the question,
( x+2)/(y+1) = 1/2
? 2x + 4 = y+1
? 2x - y = -3 .........................(i)
Again according to the question,
(x+1)/(y-2) = 3/5
? 5x +5 = 3y - 6
? 5x - 3y = -11..........................(ii)
on multiplying Eq. (i) by 3 and then subtracting from Eq. (ii) we get,
multiplying Eq. (i) by 3
6x - 3y = -9
subtracting from Eq. (ii)
5x- 3y - ( 6x - 3y ) = -11 - (-9)
5x- 3y - 6x + 3y = -11 + 9
- x = - 2
x= 2
On putting the value of x in Eq. (i) we get
2x- y = -3
2 x 2 - y = -3
? 2 x 2 -y = -3
? -y = -3 - 4
? y = 7
? Original fraction = x/y =2/7 - 1. If log 10 (10x) = 2.7532, then log 10 (10000x) is?
Options- A. 4.7532
- B. 5.7532
- C. 3 x 2.7532
- D. None of these Discuss
- 2. We have an angle of 2 1°/ 2 .How big it will look through a glass that magnifies things three times?
Options- A. 2 1° × 4 2
- B. 2 1° × 3 2
- C. 2 1° × 2 2
- D. 2 1° × 5 2 Discuss
- 3. A 200 m long train is running at a speed of 60 km/ hr. Find out the time it takes to pass a man standing at the platform
Options- A. 10 sec
- B. 12 sec
- C. 15 sec
- D. 18 sec Discuss
- 4. The rate of interest for the first 2 years is 5% for the next 3 years is 8% and beyond this. It is 10% per annum. If the simple interest for 8 years is Rs . 1280. What is the principal?
Options- A. Rs. 2500
- B. Rs. 2000
- C. Rs. 3200
- D. Rs. 2440 Discuss
- 5. A pillar 14 cm in diameters is 5 m high. How much material was used to construct it?
Options- A. (77 x 102)cm3
- B. (77 x 104)cm3
- C. (77 x 105)cm3
- D. (77 x 103)cm3 Discuss
- 6. The price of a product is increased by 20%. If the original price is Rs. 300, what is the final price of the product?
Options- A. 350
- B. 360
- C. 365
- D. 370 Discuss
- 7.
The expression ( - 1 ) 132 is equivalent to : 5- 1 + 3- 1
Options- A. 16 9
- B. - 15 8
- C. 15 8
- D. 17 8 Discuss
- 8. What will be the HCF of ( 2 x 3 x 7 x 9 ), ( 2 x 3 x 9 x 11 ) and ( 2 x 3 x 4 x 5 )?
Options- A. 2 x 3 x 7
- B. 2 x 3 x 9
- C. 2 x 3
- D. 2 x 7 x 9 x 11 Discuss
- 9. 75% of a number when added to 75 is equal to the number. The number is?
Options- A. 150
- B. 200
- C. 225
- D. 300 Discuss
- 10. One litre of water is evaporated from 6 litre of a solution containing 5% salt. The percentage of salt?
Options- A. 44/19%
- B. 55/7%
- C. 5%
- D. 6% Discuss
More questions
Correct Answer: 5.7532
Explanation:
log10(103.10x) = log10 103 + log10(10x)
= 3 + 2.7532
= 5.7532
Correct Answer: 2 1° × 5 2
Explanation:
Correct Answer: 12 sec
Explanation:
Speed of the train = (60 x 5/18) m/sec = 50/3 m/sec
Distance covered in passing the standing person = 200m
Required time taken= =200/(50/3) = 200 x (3/50) = 12 sec
Correct Answer: Rs. 2000
Explanation:
r1 = 5%,
r2 = 8%,
r3 = 10%,
t1 = 2 years
t2 = 3 years,
t3 = 8 - (2 + 3) = 3 years
? Principal = (Interest x 100) / [(r1 x t1) + (r2 x t2) + (r3 x t3 )]
= (1280 x 100) / (5 x 2 + 8 x 3 + 10 x 3)
= 128000/(10 + 24 + 30)
= 128000/64
=Rs. 2000
Correct Answer: (77 x 103)cm3
Explanation:
Volume of the cylinder = ?r2h
= (22/7) x 7 x 7 x 500 = 77000
= (77 x 103) cm3
Correct Answer: 360
Explanation:
Final Price = Initial price + Initial price x 20/100
= Initial price x (1+20/100)
= Rs.300x(1.2)
= Rs.360
Correct Answer: 15 8
Explanation:
Correct Answer: 2 x 3
Explanation:
Given factors
2 x 3 x 7 x 9; 2 x 3 x 9 x 11; 2 x 3 x 4 x 5
? Required HCF = Product of common prime factors having least powers = 2 x 3
Correct Answer: 300
Explanation:
75 + 75% of N = N
? N -3N/4 = 75
? N/4 = 75
? N = (75 x 4) = 300
Correct Answer: 6%
Explanation:
Salt in 6 liter = 5% of 6 = 0.30 liter
Salt in new solution = (0.30/5) x 100% = 6%
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