Set 1 of 10 in the Mathematics subject series — 75 solved MCQs from the NTS GAT / NAT pattern books and real NTS and FPSC papers: arithmetic, percentages, ratios, algebra and geometry basics, every answer verified against its source key. Sets 2–10 continue with the blog's harvested solved-paper pool. Questions stay in the same shuffled order for your whole sitting, and a new visit brings a fresh order. You have 75 minutes. If you leave in the middle, your picked answers are saved in your own browser so you can continue where you left off. Tap one option per question, then press Check Answers for your score.
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Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
Correct answer: 20:49:64.
The average temperature for Wednesday, Thursday and Friday was 40C. The average for Thursday, Friday and Saturday was 41C. If temperature on Saturday was 42C, what was the temperature on Wednesday?
Correct answer: 39 C.
Interest obtained on a sum of Rs. 5000 for 3 years is Rs. 1500. Find the rate percent.
Correct answer: 10%.
Three numbers are in ratio 1:2:3 and HCF is 12. The numbers are:
Correct answer: 12,24,36.
1.14 expressed as a per cent of 1.9 is:
Correct answer: 60%.
If 2/3 of A=75% of B=0.6 of C, then A:B:C is
Correct answer: 9:8:10.
A sells an article to B at a profit of 10% B sells the article back to A at a loss of 10%. In this transaction:
Correct answer: A makes a profit of 11%.
The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
Correct answer: 18 cm.
What is the probability of getting a sum 9 from two throws of a dice?
Correct answer: 1/9.
A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
Correct answer: 1200.
(-10)x(-100)=_______?.
Correct answer: 1000.
(-5)x(-4)X(-3)?
Correct answer: -60.
Write the fraction of 5%.
Correct answer: 1/20.
Simplify 15ax2 ⁄ 5x
Correct answer: 3ax.
Simplify 5⁄2 ÷ 1⁄x
Correct answer: 5x ⁄.
. Simplify a(c - b) - b(a - c)
Correct answer: ac - 2ab + bc.
Calculate the Average of 1,2,3,4,5.
Correct answer: 3.
Plane geometry
Correct answer: has only two dimensions..
A single location in space is called a
Correct answer: Point.
A single point
Correct answer: can exist at multiple planes.
6 + (5 x 4² + 3) = ?
Correct answer: 89.
What was the original price of an item if a discount of 20 percent reduced the price to Rs.100?
Correct answer: Rs.125.
In a basket containing 180 apples, 9 are spoiled. What percent of the apples in the basket are not spoiled?
Correct answer: 95%.
Find the missing number in the Series 2,3,5,7,11,_,17.
Correct answer: 13.
Complete the series with Missing Number 6,11, 21, 36, 56,__.
Correct answer: 81.
Find the Missing Number in the series 1, 6, 13, 22, 33 ?
Correct answer: 46.
What is 10 Percent of 100 ?
Correct answer: 10.
6 men can do a piece of work in 12 days. How many men are needed to do the work in 18 days?
Correct answer: 4 men.
Express 1.09 in term of Percentage.
Correct answer: 109%.
The number missing in the series 2, 6, 12, 20, ?, 42, 56, 72 is:
Correct answer: 30.
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
Correct answer: 42, 33.
A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
Correct answer: 700 apples.
What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
Correct answer: 20.
If A = x% of y and B = y% of x, then which of the following is true?
Correct answer: None of these.
In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?
Correct answer: 100.
Twelve men take 6 hours to finish a piece of work. After the 12 men have worked for 1 hour, the boss calls in 8 more men. How many more hours would 20 men take to complete the remaining work?
Correct answer: 3.
The speed of the train going from Nagpur to Allahabad is 100 km/h while when coming back from Allahabad to Nagpur, its speed is 150 km/h. Find the average speed during the whole journey.
Correct answer: 120 km/hr.
The average of a group of men is increased by 5 years when a person aged 18 years is replaced by a new person aged 38 years. How many men are there in the group?
Correct answer: 4.
A person paid 2% commission to the property dealer when he bought a land worth Rs. 6 crore and 75 lakhs. What is the amount of commission paid?
Correct answer: Rs. 1350000.
Arif, Hafiz and Haider share Rs. 2560. Hafiz's share is four times as much as Arif's and Arif's share is one-third of Haider's. How much is the share of Arif?
Correct answer: Rs. 320.
Five years ago, the average age of A, B, C and D was 45 years. With E joining them now, the average of all the five is 49 years. How old is E?
Correct answer: 45 years.
The width of a rectangle is twice the size of its length. The length is increased by 30% and width is increased by 20%. What will be the percentage change in the area of the rectangle?
Correct answer: None of these.
If 10% of daily wagers were fired while 540 workers survived, how many workers were originally there?
Correct answer: 600.
The price of one egg is Rs. 5 and in a tray about 30 eggs can be placed. What will be the price of 7 trays of eggs?
Correct answer: Rs. 1050.
A retailer bought a product from a producer for Rs. 300 and paid sales tax of 15% and sold the product to a customer for Rs. 410. Calculate the profit.
Correct answer: Rs. 65.
If a motorbike is sold for Rs. 60,000 and the profit was 18%, what would be the percentage profit if the vehicle was sold for Rs. 55,000?
Correct answer: 8.1%.
The circumference of a circle is divided into ____ degrees.
Correct answer: 360.
An angle of 90 degrees is called:
Correct answer: Right angle.
A school has only four classes that contain 10, 20, 30 and 40 students respectively. The pass percentages of these classes are 20%, 30%, 60% and 100% respectively. Find the pass percentage of the entire school.
Correct answer: 66%.
In a set of three numbers, the average of the first two numbers is 2, the average of the last two numbers is 3 and the average of the first and the last numbers is 4. What is the average of the three numbers?
Correct answer: 3.
The average of the first five multiples of 3 is:
Correct answer: 9.
If the age of Irfan's father is three times that of Irfan's and the sum of the ages of both is equal to the perfect square of 8, then what is the age of Irfan?
Correct answer: 16 years.
Solve the following equations for the value of x: 2x + 4y = 12, x + y = 4.
Correct answer: 2.
90% of 90 is:
Correct answer: 81.
48 heads of hens and cows together have 140 legs. How many hens are there?
Correct answer: 26.
A book purchased for Rs. 30 is sold for Rs. 40. The profit percentage is:
Correct answer: 33.3%.
In a room of 30 people, if males are 3/2 of the females, how many females are in the room?
Correct answer: 10.
An open rectangular tank 4 m long, 2 m wide and 4.8 m high is initially three-quarters filled with water. Find the depth of water in the tank after 4000 litres of water are added to it.
Correct answer: 4.1 m.
The sum of two numbers, one of which is two-thirds of the other, is 45. Find the smaller number.
Correct answer: 18.
The numerator of a fraction is 5 less than the denominator. If 1 is added to both the numerator and the denominator, the fraction becomes 2/3. Find the fraction.
Correct answer: 9/14.
Find the number farthest from -1 on the number line.
Correct answer: 10.
A car salesman sells 42 red cars and 14 green cars. What is the ratio of red cars to green cars sold?
Correct answer: 3:1.
Simplify: 37 - [5 + {28 - (19 - 7)}]
Correct answer: 16.
Which number will complete the number series: 2, 5, 12, 23, 38, 57, ___?
Correct answer: 80.
A husband and wife had six married sons, and each of them had five children. How many members were there in the family?
Correct answer: 44.
Complete the number series: 2, 6, 18, 54, ___
Correct answer: 162.
In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days will one cow eat one bag of husk?
Correct answer: 40 days.
18 ÷ 0.04 =?
Correct answer: 450.
is closest to:
Correct answer: 5.5.
?
Correct answer: 28.
The number, whose 13 Percent is 52 is ____
Correct answer: 400.
What is square root of 169?
Correct answer: 13.
Complete the series: 37,34,31,28,______
Correct answer: 25.
Complete the series: 5,9,13, ____, 21
Correct answer: 17.
Complete the Series: 4,8,16,32,64,128,_____
Correct answer: 256.
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