Number System (including HCF LCM)
Practice Questions
Rohit spends 40\% of his monthly income on rent, and then spends \(\frac{1}{3}\) of the remaining income on groceries. H...
#2There are some series given below and each series contains one wrong term. Find out the wrong term from the series: 100...
#3Identify the wrong term in the following number series: $$8, 111, 231, 376, 546, 743, 969$$...
#4. **Quantity I:** Probability that the ...
#18A boat takes a total of 4 hours to travel 14 km upstream and 36 km downstream. It takes 5 hours to travel 20 km upstream...
#19The difference between the area of a circular field and the area of a square field is 168 sq m. The side of the square f...
#20A container holds a mixture of two liquids A and B in the ratio $7 : 5$. When $9$ liters of this mixture is removed and ...
#21A box contains 2 red balls and 3 green balls. Two balls are drawn at random. What is the probability that both balls dra...
#22Mr. Thomas invested an amount of ₹13,900 divided into two different schemes A and B at simple interest rates of 14% p.a....
#23How much time will it take for an amount of $900$ to yield $81$ as interest at $4.5\%$ per annum of simple interest?...
#24A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest ₹6,500 for 6 ...
#25A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same d...
#26A tank is initially empty. Inlets A, D, and E are opened one after another for one hour each and then closed. After that...
#27Inlet E was open for 2 hours and then closed. The remaining part of the tank was filled by inlets B and C working togeth...
#28When the tank was completely full, outlets X and Z were opened together for *H* hours. If outlet Z alone had been opened...
#29A tank is initially full. Outlets X and Y are opened together and they empty the tank for 8 hours 30 minutes. After that...
#30The time taken to fill an empty tank completely when inlet A and outlet X are opened together is 6 hours 40 minutes less...
#31A train travelling at $100 \text{ km/h}$ overtakes a motorbike travelling at $64 \text{ km/h}$ in $40$ seconds. What is ...
#32A runs 25\% faster than B and is able to allow B a lead of 7 m to end a race in dead heat. What is the length of the rac...
#33**A** can complete a project in $20$ days and **B** can complete the same project in $30$ days. If **A** and **B** start...
#34A mango costs Rs. 200 and an orange costs Rs. 100. If the price of mango increases by 20% and the price of orange increa...
#35**Mithu bhai sells rasgulla at Rs. 15 per kg. A rasgulla is made up of flour and sugar in the ratio of quantity 5 : 3. T...
#36A train Pawan express of length 380 m running with the speed of 108 km/h crosses a platform of certain length in 37 seco...
#37There are two circles with different radii. The radius of the smaller circle is \(\frac{3}{7}\) of the radius of the lar...
#38Alekh and Alia together can complete a task in 5 days, while Alia and Aman together can finish the same task in 15 days....
#39If the overhead expenditure of a product in 2017 increased by 45% compared to that in 2016, what is the percentage incre...
#40: | Year | Selling Price (SP) | Cost Pric...
#42In the year 2011, a company sold 15 products. The total revenue earned from these sales was used to donate \( \frac{1}{9...
#43If the company maintains the same profit margin in the year 2015 as it had in 2013, what will be the selling price of th...
#44**Direction:** Given below are two quantities named I and II. Based on the given information, you have to determine the ...
#45Given below are two quantities named I and II. Based on the given information, determine the relation between the two qu...
#46Quantity I: Ram invested a sum of Rs. 52,000 in a scheme offering compound interest at the rate of 10\% per annum. Find ...
#47Given a solid cuboid of dimensions $3 ext{ cm} imes 30 ext{ cm} imes 30 ext{ cm}$ and a cube of side $30 ext{ cm}$...
#48Given the two quadratic equations: **Quantity I:** $2x^2 + 29x + 50 = 0$ **Quantity II:** $3y^2 + 18y + 27 = 0$ Deter...
#49In school S, 20\% of the students who passed the examination received a scholarship. If 120 boys from school S were awar...
#50In school R, the total number of students who received scholarships is 540. If 20\% of the boys in school R received sch...
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