UGC NET Paper 1 — Math Reasoning

A motor boat covers certain distance downstream in 5 h but takes 6 h to return upstream to the starting point. If the speed of the stream be 4 km/h, then what is the speed of the m...

Arrange the following fractions in increasing order. A. 6/11, 7/13 B. 11/17, 13/19 C. 16/19, 17/21 D. 19/22, 20/23 Choose the correct answer from the options given below:

Speed of a boat in still water is 5 km/hr and the speed of the stream is 1 km/hr. A man rows to a place at a distance of 24 km and comes back to the starting point. Find the total...

Choose the correct statements: A. x% of y is equal to y% of 100 x. B. If 40% of 60% of (3/5) of a number is 504, then 25% of (2/5) of that number is equal to 350. C. If A is 15% mo...

A motor boat covers certain distance downstream in 5 h but takes 6 h to return upstream to the starting point. If the speed of the stream be 4 km/h, then what is the speed of the m...

Speed of a boat in still water is 5 km/hr and the speed of the stream is 1 km/hr. A man rows to a place at a distance of 24 km and comes back to the starting point. Find the total...

Arrange the following fractions in decreasing order? A. 17/21 B. 15/19 C. 13/16 D. 14/17 Choose the correct answer from the options given below:

Arrange the following fractions in increasing order: A. 6/7 B. 11/13 C. 16/19 D. 19/22

On Friday, if the ratio of speed of boat to speed of stream is 2 : 1, then what is the difference between the time taken by the boat to go upstream and to go downstream ?

On Monday, if the difference between the time taken by the boat to go upstream and to go downstream is 20 hours, then what is the total time taken by the boat to go upstream and do...

यदि वर्ष 2021 में कंपनी D की आय वर्ष 2020 की आय से 10% अधिक थी और कम्पनी ने वर्ष 2020 में 20% लाभ अर्जित किया था, तो वर्ष 2020 में इसका व्यय (मिलियन ₹ में) लगभग कितना था ?

Banks D and F hired 15% more POs than their requirement. After one year, the total strength of the staff in both D and F was brought down to the original strength through retrenchm...

Two persons X and Y can do a piece of work in n days. If X alone can complete the work in (n+3) days and Y alone can do the work in (n+12) days, find the value of n.

A person buys a mobile phone from a shop for Rs. 7800.00. The shopkeeper makes a profit of 20% at the cost price. What is the cost price of the mobile phone?

The monthly income of a person in the year 2020 was ₹ 65,000 and his monthly expenditure was ₹ 45,000. In the year 2021 his monthly income increased by 15% and his monthly expendit...

An amount deposited at 5% simple interest becomes Rs. 1512 in 4 years. How much the same amount will become in 2½ years at 10% simple interest per annum?

If simple interest on a certain principal amount at 5% per annum for 5 years is Rs.900 more than the simple interest on the same principal amount for 4 years at 4% per annum, then...

An amount of ₹ 8500 becomes ₹ 9500 in 3 years time at some simple rate of interest. How much the amount of ₹10,200 will become in 5 years at the same rate of simple interest?

A man deposits ₹ 5000 in a bank at the rate of 12% simple interest for 2 years. He also deposits another amount of ₹ 5000 in another bank at the same rate of 12% compound interest,...

A person deposits Rs. 5000 in a bank at 12% simple interest for two years. He also deposits Rs. 5000 in another bank at the same 12% compound interest, compounded annually. Find th...

A Piece of work can be done by 3 boys and 2 men jointly in 10 days. The same work can be done jointly by 2 boys and 3 men in 8 days. In how many days the same work can be done by 1...

A milkman buys 20 litres of milk from a dairy at the cost of Rs. 50 per litre. He also purchases some mineral water at the rate of Rs 20 per litre and adds it to the milk. He then...

एक दूधवाला डेयरी से ₹ 50 प्रति लीटर की लागत से 20 लीटर दूध खरीदता है। वह ₹20 प्रति लीटर की दर से कुछ मिनरल जल भी खरीदता है और इसे दूध में मिला देता है। अपमिश्रित दूध को वह ₹60 प्रत...

Two lots of oranges with equal quantity, one costing ₹20 per dozen and the other costing ₹30 per dozen, are mixed together and the whole lot is sold at ₹24 per dozen. Find the prof...

In a group of 2100 persons comprising of players and their coaches, there is a coach for every fourteen players. How many coaches are there in the group?

A two digit number is 7 times the sum of its two digits. Another number, that is formed by reversing its digits, is 18 less than the original number. Find the original number.

A milkman has a mixture of milk in which the ratio of milk and water is 7:4. He sells 55 litres of this mixture and then adds up 20 litres of pure water. Now the ratio of milk and...

60 विद्यार्थियों की एक कक्षा में 20 विद्यार्थियों की औसत ऊंचाई x सेंटीमीटर है, दूसरे 20 विद्यार्थियों की औसत ऊंचाई y सेंटीमीटर है और शेष 20 विद्यार्थियों की औसत ऊंचाई z सेंटीमीटर ह...

In a competitive examination held in the year 2000, a total of 6,00,000 (6.0 lakh) students appeared and 40% passed the examination. Forty percent (40%) of the total students were...

After increasing the selling price of an article by 25%, the new price of the article becomes Rs. 250. Now a discount of 25% is offered on the new price. What would be the profit o...

The average age of a family of six members is 30 years. The youngest members of the family are twins with age 10 years. Find the average age of the family just before the birth of...

In a class of 60 students, the average height of 20 students is x centimeter, the average height of other 20 students is y centimeter and the average height of the remaining 20 stu...

After increasing the selling price of an item by 25%, the new price of the item becomes Rs 250. A discount of 25% is given on this new price. What will be the percentage profit or...

5/9 of a number is equal to twenty five percent of a second number. Second number is equal to 1/4 of a third number. The value of the third number is 2960. How much is the 30% of t...

A person X is twice as good a workman as a person Y. By joining together, they complete a job in 18 days. Find the number of days the person X as well as Y can complete the job, re...

A certain amount of money is given as a loan at 10% annual compound interest, payable half-yearly. What is the effective annual interest rate?

Total monthly salary of a couple (husband and wife) is ₹2.0 lakh. Their salaries are in the ratio of 5:3. If husband and wife spend 40% and 20% of their salaries, respectively, wha...

A sum of Rs. 10,000.00 (ten thousand) is invested at rate of interest 8% per annum compounded half yearly. What will be the maturity amount in 1 ½ years?

A person spends 20% of his money on clothes, 10% on books, 9% on gifts for family and friends, and 7% on other items. In the end, he is left with ₹5400. How much money did he have...

A person spends 20% of his money for clothes. 10% of the money is spent on books, 9% for purchasing gifts for family and friends and 7% on some other items. At the end he is left w...

A sum of money at simple rate of interest becomes Rs. 2016 in 4 years and Rs. 2286 in 9 years. What is the principal amount?

₹13000 were divided among certain number of persons equally. Had there been 15 more persons, each person would have got ₹60 less. Find the initial number of persons?

Two persons A and B can do a piece of work in 45 and 40 days, respectively. They started their work together but A left after some days and remaining work was completed by B in 23...

A certain sum of money is lent at a compound interest rate of 10% per annum payable half-yearly. What is the effective annual rate of interest ?

The average of a group of 20 numbers is 30 and that of another group of 30 numbers is 50. What is the average of all the numbers in both the groups?

The sum and difference of two numbers are 19 and 7, respectively. What is the sum of their squares?

A man invested 1/3 of his retirement gratuity at 6% simple interest; 1/4 of his gratuity at 7% and the rest at 8% simple interest. If his annual return on these investments is ₹ 70...

If x = 10 and y = 0.1, which of the following expressions, has the highest value?

If S is an even integer, then which of the following are true? A. S + 1 will be odd B. 2S - 1 will be odd C. S² + 1 will be odd D. S² - 1 will be odd E. S² + 2 will be odd Choose t...

The average weight of six members of a family is 30 kg. If the head of the family is not considered, the average weight of the rest of the family members is 5 kg less than the earl...