Test of Mathematics for University Admission (TMUA)

UAT-UK

6 contributor - 0 Folowers




Fani Warraich MATHEMATICS   -   Algebra

Solve the equation 2/6 (3a + 2b) – 1/2 (2a + 4b) -2(12a – 6b)?

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

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

The capacity of the tank is given by πr^2h = π(7^2)(6) = 923.628 cubic inches Since 1 gallon is equal to 231 cubic inches, the capacity of the tank in gallons is 923.628 / 231 = 3.998 gallons Which is approximately 4 gallons. So the answer is B.
Fani Warraich

4 gallons is the correct

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

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?

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

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

Bashir Farooqi IQ APTITUDE & ABILITY   -   Quantitative Reasoning

The cube of 1/3 is

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

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

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?

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

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

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

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?

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?

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

Muhammad Tayyab Ikhlas IQ APTITUDE & ABILITY   -   Quantitative Reasoning

Which of the following expressions has the greatest value?

Muhammad Tayyab Ikhlas IQ APTITUDE & ABILITY   -   Quantitative Reasoning

If (a + 3) / 5 is an integer, what is remainder when ‘a’ is divided by 5?

Muhammad Tayyab Ikhlas IQ APTITUDE & ABILITY   -   Quantitative Reasoning

The integral part of logarithm is called

Muhammad Tayyab Ikhlas IQ APTITUDE & ABILITY   -   Quantitative Reasoning

On the y-axis, the x-coordinate is

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 ?

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?

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?

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?

Suzico IQ APTITUDE & ABILITY   -   Quantitative Reasoning

What should come in place of both the question marks in the equation: ? / √128 = √162 / ?

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 :

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:

We can use the following formula to calculate the simple interest: Simple Interest = (Principal * Rate * Time) / 100 Where: Principal is the amount of money borrowed. Rate is the interest rate per year. Time is the number of years the loan is borrowed for. We know that the simple interest is PKR 5400, the rate is 12% p.a., and the time is 3 years. We need to calculate the principal. Substituting the known values into the formula, we get: 5400 = (Principal * 12 * 3) / 100 Multiplying both sides of the equation by 100, we get: 540000 = Principal * 12 * 3 Dividing both sides of the equation by 12 * 3, we get: Principal = 540000 / (12 * 3) Principal = PKR 15000 Therefore, the principal amount borrowed by Kajol was PKR 15000.
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?

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?

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:

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:

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 ?

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:

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 ?

Suzico IQ APTITUDE & ABILITY   -   Quantitative Reasoning

A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?

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 :

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 :

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?

Fani Warraich

Good

Fani Warraich

A

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

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?

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?

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?

Let the side length of the equilateral triangle be x and the side length of the square be y. Since they have the same perimeter, we know that: 3x=4y Dividing both sides by 3, we get: x= 4/3(y) Therefore, the ratio of the side lengths of the equilateral triangle to the side lengths of the square is 4:3.
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.

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?

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

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

If 5x = 3, then (5x + 3)² =

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)

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

If m/n = .75, then what is 3m + 2n?

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)

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

Which of the following has a graph that is symmetric to the x-axis

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

The prime factors of 96 are

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

2- 3 =

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

If x + 1 < 3x + 5, then

Fani Warraich IQ APTITUDE & ABILITY   -   Quantitative Reasoning

Which of the numbers cannot be represented by a repeating decimal?

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 round-trip travel duration is eight hours?

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?

Let's analyze the given series: {11, A, 23, B, C, 68, 73}. The median of a series is the middle value when the values are arranged in ascending order. In this case, the series is already in increasing order: {11, A, 23, B, C, 68, 73} Now, if half the range is equal to the median, we need to find the range and divide it by 2. Range = Largest value - Smallest value In this series, the largest value is 73, and the smallest value is 11. Range = 73 - 11 = 62 Half the range = 62 / 2 = 31 Now, we need to find the element in the series that is 31 units away from the smallest value (11). Counting 31 units from 11, we get: 11 + 31 = 42 So, the element with the value 42 is the median of the series. Therefore, the median of the series {11, A, 23, B, C, 68, 73} is 42.
Peacel awfirm IQ APTITUDE & ABILITY   -   Quantitative Reasoning

The product of (1+2), (2+3) and (3+4) is equal to the one-half the sum of 20 and x, what is the value of x?

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?

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?

Peacel awfirm IQ APTITUDE & ABILITY   -   Quantitative Reasoning

900/10 + 90/100 + 9/1000 = ?

Muntaha Nasir IQ APTITUDE & ABILITY   -   Quantitative Reasoning

A rectangular garden has a length that is 4 meters longer than its width. If the perimeter of the garden is 40 meters, what is the area of the garden in square meters?

Let the width of the garden be w w meters. Then, the length can be expressed as w + 4 w+4 meters. The formula for the perimeter P P of a rectangle is given by: P = 2 ( length + width ) = 40 P=2(length+width)=40 Substituting the expressions for length and width: 2 ( ( w + 4 ) + w ) = 40 2((w+4)+w)=40 Simplifying this equation: 2 ( 2 w + 4 ) = 40 4 w + 8 = 40 4 w = 32 w = 8 2(2w+4)=40 4w+8=40 4w=32 w=8 Now, substituting back to find the length: length = w + 4 = 8 + 4 = 12 length=w+4=8+4=12 The area A A of the garden is given by: A = length × width = 12 × 8 = 96 A=length×width=12×8=96 Thus, the area of the garden is 100 square meters.

Contributor(6)

Fani Warraich
Bashir Farooqi
Muhammad Tayyab Ikhlas
Suzico
Peacel awfirm
Muntaha Nasir