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NTPC Graduate Tier 1

2025 | Shift-1 | 📅 09 Jun, 2025
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Arithmetic

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Arithmetic Problems on Ages
Q1.

If 3 times the mother's present age is 36 years more than 5 times her daughter's age, and 3 times the daughter's age is 4 years less than the mother's age, then what is the difference (in years) between the present ages of the mother and the daughter...

Arithmetic Profit and Loss
Q2.

A shopkeeper marked his goods at X% above their cost price and sold them at a discount of 10%. If he gained 71% profit, then find the value of X.

Arithmetic Time, Speed and Distance
Q3.

While covering a distance of 54 km, a man noticed that after cycling for 1 hour 15 minutes, the distance covered by him was 7/9 of the remaining distance. What was his speed (in km/hr)?

Arithmetic HCF and LCM
Q4.

Deepesh has 168 litres of Oil A and 234 litres of Oil B. He fills a number of identical containers with the two types of oil in a manner that each container has only one type of oil, and all containers are completely filled. What can be the maximum v...

Arithmetic Compound Interest
Q5.

Rishi has ₹1,612 with him. He divided it amongst his sons Shan and Piyush and asked them to invest it at 8% rate of interest per annum, compounded annually. It was seen that Shan and Piyush got the same amount after 19 and 20 years, respectivel...

Arithmetic Fractions and Decimals
Q6.

The fraction equivalent to 8.27272... is:

Arithmetic Ratio and Proportion
Q7.

The ratio of incomes of Seema and Darshan is 7 : 8. They save ₹15,000 and ₹9,000, respectively. If the ratio of their expenditures is 11 : 16, then what is the total expenditure (in ₹) of Seema and Darshan?

Arithmetic Ratio and Proportion
Q8.

Some marbles are to be packed in four boxes, A, B, C and D, in the proportion of 6 : 3 : 7 : 5. If box B has 400 less marbles than box D, then how many marbles are there in total in all the boxes?

Arithmetic Time and Work
Q9.

A water tank can be filled in 29 minutes by using 23 pipes of the same capacity. In how many minutes (rounded off to two decimal places) will the water tank be filled if we use 47 pipes of the same capacity as above?

Arithmetic Simplification
Q10.

Simplify: 81 + 76/2 + 42 - 86

Arithmetic Percentages
Q11.

Vijay's salary was first reduced by 16% and subsequently raised by 11%. What percentage was his final salary lower compared to his initial salary?

Arithmetic Profit and Loss
Q12.

If goods are purchased at ₹450 and 1/3 are sold at a loss of 10%, at what gain percentage should the remainder be sold so as to gain 20% on the whole transaction?

Arithmetic Percentages
Q13.

A person saves 40% of his income. If his expenditure is ₹960, then his income (in ₹) is:

Arithmetic Time, Speed and Distance
Q14.

Babita travels a certain distance at a speed of 11 km/hr and double the earlier distance at 44 km/hr. She then returns to the starting point through the same route. If her average speed for the entire journey is 34 km/hr, then what is her speed (in k...

Arithmetic Average
Q15.

A man bought 8 shirts at ₹550 each, 10 pants at ₹1,000 each and 12 pairs of shoes at ₹850 each pair. What is the average expenditure per article?

Arithmetic Average
Q16.

The average weight of A, B and C is 45 kg. If the average weight of A and B is 40 kg and that of B and C is 42 kg, then the weight of B (in kg) is:

Arithmetic Simple Interest
Q17.

Rakesh invests a sum of ₹5,000 and Shivam invests a sum of ₹9,000 at the same rate of simple interest per annum. If, at the end of 3 years, Shivam gets ₹360 more interest than Rakesh, then find the rate of interest per annum (in per...

Arithmetic Percentages
Q18.

The original price of a music set is ₹8,000. The price is decreased by 12% and then raised by 25%. What is its new price (in ₹)?

Arithmetic Time and Work
Q19.

A can lay a railway track between two given stations in 8 days and B can do the same job in 24 days. With the help of C, they can do the job in 3 days. C alone can do the job in:

Arithmetic Simplification
Q20.

The value of 173 - 102 + (26/13)2 - 12 + 20 × 12 =

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