A number whose fifth part increased by 4 is equal to its fourth part diminished by 10, is:
Show Hint
- 240
- 260
- 270
- 280
The Correct Option is D
Solution and Explanation
Let the number be x.
Step 2: Translate the statement into an equation.
"Its fifth part increased by 4" means x/5 + 4. "Its fourth part diminished by 10" means x/4 - 10. These two expressions are equal, so x/5 + 4 = x/4 - 10.
Step 3: Collect the x terms on one side.
x/4 - x/5 = 4 + 10 = 14.
Step 4: Simplify the left side using a common denominator.
The LCM of 4 and 5 is 20, so x/4 - x/5 = (5x - 4x)/20 = x/20. So x/20 = 14.
Step 5: Solve for x.
x = 14 x 20 = 280.
Step 6: Verify and match with the options.
Check: fifth part of 280 is 56, increased by 4 gives 60. Fourth part of 280 is 70, diminished by 10 gives 60. Both sides equal 60, confirming x = 280, which is option (4). Options (1), (2) and (3) fail this check.
Top SNAP Quantitative Aptitude Questions
- Rahul starts a business with ₹ 8000. After $6$ months, Sanjay joins with some capital. If their profits after one year are equal, find Sanjay's investment.
- A watch is bought for ₹ 1950 in cash and sold for ₹ 2200 on one-year credit. If the interest rate is $10\%$ p.a., find the trader's gain/loss.
- An article is listed at ₹ 65. A customer bought this article for ₹ 56.16 and got two successive discounts, the first being $10\%$. What was the other discount rate allowed by the shopkeeper?
A company has $50{,}000$ preferred shares with dividend $20\%$ and $20{,}000$ common shares; par value of each share is ₹ 10. The total profit is $₹ 1{,}80{,}000$, of which $₹ 30{,}000$ is kept in reserve and the rest distributed to shareholders. Find the dividend percent paid to common shareholders.
A man buys apples at a certain price per dozen and sells them at eight times that price per hundred. What is his gain or loss percent?
Top SNAP Linear Equations Questions
A man buys a certain quantity of apples, mangoes and bananas. If the mangoes were to cost the same as apples, he would have to forego the bananas to buy the same number of mangoes as he had bought earlier (for the same total amount). The amount spent by him on mangoes and bananas together is 50% more than the amount spent on apples. The total amount spent is ₹ 140. The number of mangoes bought is the same as the number of bananas. If he wishes to buy the same number of apples as well, how much additional amount would he have to spend?
- The age of the father 5 years ago was 5 times the age of his son. At present the father's age is 3 times that of his son. What is the present age of the father?
- A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now the number of men and women is equal. In the beginning, how many passengers entered the bus?
Rubina could get equal number of Rs. 55, Rs. 85 and Rs.105 tickets for a movie. She spends Rs. 2940 for all the tickets. How many of each did she buy?
- In a factory, the expected number of accidents per day is linearly related to the overtime hours \(x\). On a day with \(x = 1000\) overtime hours there were 8 accidents; on a day with \(x = 400\) hours there were 5 accidents. What is the expected number of accidents when no overtime is logged (\(x = 0\))?
Top SNAP Questions
- In a retail outlet, the average revenue was Rs.10,000 per day over a 30 day period. During this period, the average revenue on weekends (total 8 days) was Rs. 20,000 per day. What was the average daily revenue on weekdays?
- Two different prime numbers X and Y, both are greater than 2, then which of the following must be true?
- It takes 6 hours for pump A, used alone, to fill a tank of water. Pump B alone takes 8 hours to fill the same tank. A, B and another pump C all together fill the tank in 2 hours. How long would pump C take, used alone, to fill the tank?
- A swimming pool can be filled by pipe A in 3 hours and by pipe B in 6 hours, each pump working on its own. At 9 am, pump A is started. At what time will the swimming pool be filled if pump B is started at 10 am?
- The sum of prime numbers that are greater than 60, but less than 70 is :