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Test of Mathematics for University Admission (TMUA)
UATUK
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Fani Warraich
MATHEMATICS

Algebra
Solve the equation 2/6 (3a + 2b) – 1/2 (2a + 4b) 2(12a – 6b)?
A. 6a – 7b.
B. 2a + 4b.
C. 5a + 6b.
D. 7a – 8b.
Bashir Farooqi
IQ APTITUDE & ABILITY

Quantitative Reasoning
The number of degrees through which the hour hand of a clock moves in 2 hours and 12 minutes is
A. 723.
B. 732.
C. 72.
D. 66.
Fani Warraich
IQ APTITUDE & ABILITY

Quantitative Reasoning
A cylindrical container has a diameter of 14 inches and a height of 6 inches. Since one gallon equals 231 cubic inches, the capacity of the tank is approximately
A. 22/7 gallons.
B. 33/4.
C. 4 gallons.
D. None of these.
Bashir Farooqi
IQ APTITUDE & ABILITY

Quantitative Reasoning
A train running between two towns arrives at its destination 10 minutes late when it goes 40 miles per hour and 16 minutes late when it goes 30 miles per hour. The distance between the two towns is
A. 96/8 miles .
B. 780 miles.
C. 12 miles.
D. None of these.
Bashir Farooqi
IQ APTITUDE & ABILITY

Quantitative Reasoning
If the base of a rectangle is increased by 30% and the altitude is decreased by 20% the area is increased by?
A. 4%.
B. 5%.
C. 6%.
D. 7%.
Bashir Farooqi
IQ APTITUDE & ABILITY

Quantitative Reasoning
If the sum of the edges of a cube is 48 inches, the volume of the cube is
A. 66 cubic inches.
B. 64 cubic inches.
C. 512 inches.
D. 931 inches.
Bashir Farooqi
IQ APTITUDE & ABILITY

Quantitative Reasoning
A certain triangle has sides, which are, respectively, 6 inches, 8 inches, and 10 inches long. A rectangle equal in area to that of the triangle has a width of 3 inches. The Perimeter of the rectangle, expressed in inches, is
A. 22.
B. 23.
C. 24.
D. 11.
Bashir Farooqi
IQ APTITUDE & ABILITY

Quantitative Reasoning
The cube of 1/3 is
A. 2/36.
B. 9/27.
C. 1/27.
D. 3/27.
Bashir Farooqi
IQ APTITUDE & ABILITY

Quantitative Reasoning
In general, the sum of the squares of two numbers is greater than twice the product of the numbers. The pair of numbers for which this generalization is not valid is
A. 7,7.
B. 8,8.
C. 9,9.
D. 10,10.
Bashir Farooqi
IQ APTITUDE & ABILITY

Quantitative Reasoning
A piece of wire 132 inches long is bent successively in the shape of an equilateral triangle, a square, a regular hexagon, a circle. The plane surface of the largest area is included when the wire is bent into the shape of a
A. Triangle.
B. Circle.
C. Square.
D. Hexagon.
Bashir Farooqi
IQ APTITUDE & ABILITY

Quantitative Reasoning
If eggs are bought at 35 cents per dozen and sold at 3 for 10 cents the total profit on 5 1/2 dozen is?
A. 25 1/2 cents.
B. 26 1/2 cents.
C. 27 1/2 cents.
D. 28 1/2 cents.
Muhammad Tayyab Ikhlas
IQ APTITUDE & ABILITY

Quantitative Reasoning
A piece of wood 35 feet, 6 inches long was used to make 4 shelves of equal length. The length of each shelf was
A. 8 feet, 10 1/2 inches.
B. 9 feet, 1 1/2 inches .
C. 7 feet, 10 1/2 inches.
D. 7 feet, 1 1/2 inches.
Muhammad Tayyab Ikhlas
IQ APTITUDE & ABILITY

Quantitative Reasoning
The tiles in the floor of a kitchen are 15/16 inch squares. The cement between the tiles is 1/16 inch. There are 3240 individual tiles in this floor. The area of the floor is
A. 225 sq. ft.
B. 22.5 sq. yds.
C. 250 sq. ft..
D. 2.5 sq. yds..
Muhammad Tayyab Ikhlas
IQ APTITUDE & ABILITY

Quantitative Reasoning
A man bought a TV set that was listed at Rs.160. He was given successive discounts of 20% and 10%. The price he paid was
A. Rs.115.20 .
B. Rs.118.20.
C. Rs.119.60 .
D. Rs.129.60.
Muhammad Tayyab Ikhlas
IQ APTITUDE & ABILITY

Quantitative Reasoning
Mr. Younas ' income for a year is Rs.15,000. He pays 15% of this in federal taxes and 10% of the remainder in state taxes. How much is left?
A. Rs.11,475.
B. Rs.13,500.
C. Rs.14,125.
D. Rs.9,750 .
Muhammad Tayyab Ikhlas
IQ APTITUDE & ABILITY

Quantitative Reasoning
The radius of a circle which has a circumference equal to the perimeter of a hexagon whose sides are each 22 inches long is closest in length to which one of the following?
A. 23.
B. 22.
C. 21.
D. 20.
Muhammad Tayyab Ikhlas
IQ APTITUDE & ABILITY

Quantitative Reasoning
If a, is a multiple of 5 and b = 5a, which of the following could be the value of a + b? I. 60 II. 100 III. 150
A. I and III only.
B. I only.
C. III only.
D. None of these.
Muhammad Tayyab Ikhlas
IQ APTITUDE & ABILITY

Quantitative Reasoning
Which of the following expressions has the greatest value?
A. 4 ÷ 4 + 4 × 4.
B. 2 ÷ 2 + 2 × 2.
C. 4 × 4 – 4 × 4.
D. 4 × 4 ÷ 4 + 4 .
Muhammad Tayyab Ikhlas
IQ APTITUDE & ABILITY

Quantitative Reasoning
If (a + 3) / 5 is an integer, what is remainder when ‘a’ is divided by 5?
A. 4.
B. 3.
C. 2.
D. 1.
Muhammad Tayyab Ikhlas
IQ APTITUDE & ABILITY

Quantitative Reasoning
The integral part of logarithm is called
A. Solution.
B. Constant.
C. Variable.
D. Root.
Muhammad Tayyab Ikhlas
IQ APTITUDE & ABILITY

Quantitative Reasoning
On the yaxis, the xcoordinate is
A. ∞.
B. 1.
C. 0.
D. ∞.
Suzico
IQ APTITUDE & ABILITY

Quantitative Reasoning
How many bricks each measuring 25cm x 11.25cm x 6cm, will be needed to build a wall of size 8m x 6m x 22.5m ?
A. 640.
B. 6400.
C. 604.
D. None of these.
Suzico
IQ APTITUDE & ABILITY

Quantitative Reasoning
The profit earned by selling an article for Rs. 900 is double the loss incurred when the same article is sold for Rs. 490. At what price should the article be sold to make 25% profit?
A. 705.
B. 755.
C. 750.
D. 570.
Suzico
IQ APTITUDE & ABILITY

Quantitative Reasoning
An air conditioner can cool the hall in 40 minutes while another takes 45 minutes to cool under similar conditions. If both air conditioners are switched on at the same instance, then how long will it approximately take to cool the room?
A. 20 minutes.
B. 21 minutes.
C. 22 minutes.
D. 23 minutes.
Suzico
IQ APTITUDE & ABILITY

Quantitative Reasoning
A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
A. 2.7.
B. 8.2.
C. 7.2.
D. 6.2.
Suzico
IQ APTITUDE & ABILITY

Quantitative Reasoning
What should come in place of both the question marks in the equation: ? / √128 = √162 / ?
A. 12.
B. 11.
C. 10.
D. 9.
Suzico
IQ APTITUDE & ABILITY

Quantitative Reasoning
In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 130 marks, the no of questions he attempts correctly is :
A. 36.
B. 38.
C. 40.
D. 42.
Fani Warraich
IQ APTITUDE & ABILITY

Quantitative Reasoning
Kajol took loan from a bank at the rate of 12% p.a. simple interest. After 3 years, she had to pay PKR 5400 interest only for the period. The principal amount borrowed by her was:
A. PKR 14000.
B. PKR 15000.
C. PKR 16000.
D. PKR 17000.
Suzico
IQ APTITUDE & ABILITY

Quantitative Reasoning
Salaries of Conan and Jimmy are in the ratio 2:3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40:57. What is Jimmy’s salary?
A. 32000.
B. 34000.
C. 36000.
D. 38000.
Suzico
IQ APTITUDE & ABILITY

Quantitative Reasoning
A person incurs a loss of 5% be selling a watch for Rs. 1140. At what price should the watch be sold to earn 5% profit?
A. 1160.
B. 1260.
C. 1360.
D. 1460.
Suzico
IQ APTITUDE & ABILITY

Quantitative Reasoning
Two trains started at the same time, one from A to B and the other from B to A . If they arrived at B and A respectively 4 hours and 9 hours after they passed each other, the ratio of the speeds of the two trains was:
A. 3:1.
B. 3:2.
C. 3:3.
D. 3:4.
Fani Warraich
IQ APTITUDE & ABILITY

Quantitative Reasoning
The sum of the squares of two numbers is 3341 and the difference of their squares is 891. The numbers are:
A. 46 & 35.
B. 14 & 56.
C. 35 & 46.
D. None of these.
Fani Warraich
IQ APTITUDE & ABILITY

Quantitative Reasoning
The average age of a class is 15.8 years. The average age of the boys in the class is 16.4 years and that of the girls is 15.4 years. What is the ratio of boys to girls in the class ?
A. 3:2.
B. 1:3.
C. 2:3.
D. None of these.
Suzico
IQ APTITUDE & ABILITY

Quantitative Reasoning
In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
A. 1/46.
B. 46/2.
C. 21/46.
D. 46/21.
Suzico
IQ APTITUDE & ABILITY

Quantitative Reasoning
A water tank in a village is normally filled in 8 hours but takes 2 hours longer to fill because of a leak in its bottom. If the tank is full, in how many hrs will the leak empty it ?
A. 40 hrs.
B. 38 hrs.
C. 36 hrs.
D. 34 hrs.
Suzico
IQ APTITUDE & ABILITY

Quantitative Reasoning
A college has 10 basketball players. A 5member team and a captain will be selected out of these 10 players. How many different selections can be made?
A. 1260.
B. 1460.
C. 1660.
D. 1860.
Suzico
IQ APTITUDE & ABILITY

Quantitative Reasoning
If the price of a Harry Potter novel is first decreased by 25% and then increased by 20%, then the net change in the price will be :
A. 10.
B. 11.
C. 12.
D. 13.
Suzico
IQ APTITUDE & ABILITY

Quantitative Reasoning
Shruti and Priya invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If Shruti invested Rs. 40,000, the amount invested by Priya is :
A. 50000.
B. 40000.
C. 60000.
D. None of these.
Fani Warraich
IQ APTITUDE & ABILITY

Quantitative Reasoning
Each of Tom's buckets has a capacity of 11 gallons, while each of Henry's buckets can hold 8 gallons. How much more water in gallons can 7 of Tom's bucket's hold compared to 7 of Henry's buckets?
A. 19.
B. 20.
C. 21.
D. 22.
Fani Warraich
IQ APTITUDE & ABILITY

Quantitative Reasoning
Two integers have a sum of 42 and a difference of 22. The greater of the two integers is
A. 22.
B. 32.
C. 42.
D. 52.
Fani Warraich
IQ APTITUDE & ABILITY

Quantitative Reasoning
The average of five numbers is 34. If three of the numbers are 28, 30 and 32, what is the average of the other two?
A. 20.
B. 30.
C. 40.
D. 50.
Fani Warraich
IQ APTITUDE & ABILITY

Quantitative Reasoning
In a certain cake, two straight cuts (made along two different radii) succeed in removing 4/15 of the total cake. What is the central angle in degrees of the piece cut?
A. 106.
B. 96.
C. 86.
D. 76.
Fani Warraich
IQ APTITUDE & ABILITY

Quantitative Reasoning
If an equilateral triangle and a square have the same perimeter, what is the ratio of the length of the sides of the equilateral triangle to the lengths of the sides of the square?
A. 3:4.
B. 4:3.
C. 2:3.
D. 3:2.
Fani Warraich
IQ APTITUDE & ABILITY

Quantitative Reasoning
If 2 and 4 each divide q without remainder, which of the following must q divide without remainder.
A. 1.
B. 2.
C. 3.
D. It cannot be determined from the information given. .
Fani Warraich
IQ APTITUDE & ABILITY

Quantitative Reasoning
The ratio of boys to girls in a certain classroom was 2 : 3. If boys represented five more than one third of the class, how many people were there in the classroom?
A. 5.
B. 10.
C. 15.
D. 20.
Fani Warraich
IQ APTITUDE & ABILITY

Quantitative Reasoning
Let xy = z, where x,y,z and nonzero numbers. If x is multiplied by 3 and z is divided by 3, this is equivalent to multiplying y by
A. 1/3.
B. 1/6.
C. 1/9.
D. 1/12.
Fani Warraich
IQ APTITUDE & ABILITY

Quantitative Reasoning
If 5x = 3, then (5x + 3)² =
A. 18.
B. 36.
C. 54.
D. 72.
Fani Warraich
IQ APTITUDE & ABILITY

Quantitative Reasoning
If the postal charges for a package are 62 cents for the first five ounces and 8 cents for each additional ounce, what is the weight of a package for which the charges are $1.66? (Assume there are 16 ounces in one pound)
A. 1.115 pounds.
B. 1.120 pounds.
C. 1.125 pounds.
D. None of these.
Fani Warraich
IQ APTITUDE & ABILITY

Quantitative Reasoning
If m/n = .75, then what is 3m + 2n?
A. 1.
B. 17.
C. 34.
D. 51.
Fani Warraich
IQ APTITUDE & ABILITY

Quantitative Reasoning
Which is greater? Column A is (10/4) / (3/2) * (3/7) and Column B is (3/4) * (10/7) / (3/2)
A. If the two quantities are equal .
B. If the quantity in Column A is greater.
C. If there is no relationship between these two quantities.
D. If the relationship cannot be determined from the information given.
Fani Warraich
IQ APTITUDE & ABILITY

Quantitative Reasoning
Which of the following has a graph that is symmetric to the xaxis
A. y2 = x.
B. y3 = x.
C. y = x3 – x .
D. y = x2 + 3.
Fani Warraich
IQ APTITUDE & ABILITY

Quantitative Reasoning
The prime factors of 96 are
A. 2 and 4.
B. 3 and 6.
C. 2 and 3.
D. None of these.
Fani Warraich
IQ APTITUDE & ABILITY

Quantitative Reasoning
2 3 =
A. 6.
B. 8.
C. 1/8.
D. 1/8.
Fani Warraich
IQ APTITUDE & ABILITY

Quantitative Reasoning
If x + 1 < 3x + 5, then
A. x < 2.
B. X > 2.
C. x = 0√√√√.
D. x < 2.
Fani Warraich
IQ APTITUDE & ABILITY

Quantitative Reasoning
Which of the numbers cannot be represented by a repeating decimal?
A. √3.
B. 11/9.
C. 23/7.
D. None of these.
Fani Warraich
IQ APTITUDE & ABILITY

Quantitative Reasoning
A train moves at sixty miles per hour from City A to City B and eighty miles per hour from City B to City A in reverse. What is the distance between the two cities if the roundtrip travel duration is eight hours?
A. 274.29 miles.
B. 150 miles.
C. 612 miles.
D. None of these.
Peacel awfirm
IQ APTITUDE & ABILITY

Quantitative Reasoning
If half the range of increasing series {11, A, 23, B, C, 68, 73} is equal to its median, what is the median of the series?
A. 23.
B. 31.
C. 33.
D. 41.
Peacel awfirm
IQ APTITUDE & ABILITY

Quantitative Reasoning
The product of (1+2), (2+3) and (3+4) is equal to the onehalf the sum of 20 and x, what is the value of x?
A. 320.
B. 340.
C. 360.
D. 350.
Peacel awfirm
IQ APTITUDE & ABILITY

Quantitative Reasoning
What k is subtracted from10 and difference is divided by 2, the result is 3, what is the value of k?
A. 6.
B. 5.
C. 4.
D. 3.
Peacel awfirm
IQ APTITUDE & ABILITY

Quantitative Reasoning
If a^2 b =12^2, and b is smallest odd integer, then a could be divisible by all of the following except?
A. 9.
B. 6.
C. 3.
D. 12.
Peacel awfirm
IQ APTITUDE & ABILITY

Quantitative Reasoning
900/10 + 90/100 + 9/1000 = ?
A. 90.099.
B. 90.009.
C. 90.909.
D. None of these.
Contributor(5)
Fani Warraich
Bashir Farooqi
Muhammad Tayyab Ikhlas
Suzico
Peacel awfirm
4 gallons is the correct