This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 3851. |
The binomial (y - 2) is a factor of y2 - 10y + 16. What is the other factor? |
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Answer» The binomial (y - 2) is a factor of y2- 10y + 16. What is the other factor? Solution: |
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| 3852. |
Describe the parametric equation of a circle. |
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Answer» Describe the parametric equation of a circle. Solution: |
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| 3853. |
The sum of two numbers is 40 . One number is 4 times as large as the other. What are the numbers? |
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Answer» The sum of two numbers is 40. One number is 4 times as large as the other. What are the numbers? Solution: |
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| 3854. |
Find the area of the largest rectangle that can be inscribed in a semi-circle of radius5. |
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Answer» Find the area of the largest rectangle that can be inscribed in a semi-circle of radius5. Solution: |
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| 3855. |
Replace the ? with one of the following symbols (, =, or ≠) for 4 + 3 + 7 ? 7 + 0 + 7 |
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Answer» Replace the ? with one of the following symbols (<, >, =, or ≠) for 4 + 3 + 7 ? 7 + 0 + 7 Solution: |
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| 3856. |
How many Inches in a Meter? |
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Answer» There are 39.37 inches in 1 meter. Meter and inches are used to measure length. |
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| 3857. |
Find two numbers whose difference is 120 and whose product is a minimum. |
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Answer» Find two numbers whose difference is 120 and whose product is a minimum. Solution: |
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| 3858. |
How many Months have 31 Days? |
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Answer» 7 months have 31 days. 12 months make up a complete year. |
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| 3859. |
Express the prime factorization of the numbers (a) 596 (b) 240 in exponential form. |
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Answer» 596 = 22× 149 and 240 = 24× 3 × 5 The prime factorization is expressing the given number as a product of prime numbers. |
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| 3860. |
The sum of three consecutive multiples of 8 is 888. Find the multiples. |
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Answer» The three consecutive multiples are 288, 296, and 304. Let us find the multiples of 8 satisfying the given condition. |
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| 3861. |
Solve the differential equation. xy' − 2y = x2, x > 0 |
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Answer» Solve the differential equation. xy' − 2y = x2, x > 0 Solution: |
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| 3862. |
What is the primary difference between a histogram and a stem-and-leaf plot? |
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Answer» What is the primary difference between a histogram and a stem-and-leaf plot? Solution: |
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| 3863. |
How many Ml in aLiter? |
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Answer» 1 liter is 1000 milliliters. The original French metric system used the unit of liter as a base and primary unit. The word liter is derived from an old French unit known as the litron, |
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| 3864. |
A triangle and parallelogram are constructed on the same base such that their area is equal. If the altitudeof the parallelogram is 100m, then find the altitude of the triangle. |
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Answer» The altitude of the given triangle will be 200 m. We need to find the height (altitude) for the triangle by calculating the area for both figures. |
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| 3865. |
How many Inches make5 feet? |
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Answer» There are 60 inches in 5 feet. Inches and feet are used to measure length. |
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| 3866. |
If the complex number x = 3 + bi and |x|2 = 13, which is a possible value of b?2,4,9,10 |
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Answer» If the complex number x = 3 + bi and |x|2= 13, which is a possible value of b? Solution: |
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| 3867. |
How many Centimeters are in aMeter? |
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Answer» 1 meter is 100 centimeters. A centimeter (cm) is a decimal fraction of the meter (m) and also the International System of Units (SI) unit of length. |
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| 3868. |
Is 2020 aLeap Year? |
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Answer» Yes, 2020 is a leap year. A leap year is a year with an extra day in February that is the 29th which is added nearly every four years to the calendar year. |
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| 3869. |
How many Centimeters in a Meter? |
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Answer» 1 centimeter equals 0.01 meter. Centimeter and meter are units used to measure length. |
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| 3870. |
How many ounces are in a gallon? |
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Answer» 1 gallon is 128 ounces. A gallon is a widely used unit of measurement for liquids, gas, and fluids that is equal to eight pints. |
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| 3871. |
What is the lowest common multiple of 12 and 9? |
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Answer» LCM of 12 and 9 is 36. Let us find the least common multiple of 12 and 9. |
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| 3872. |
Find the coordinates of the midpoint of the segment with the given endpoints G(-4, 4) and H(6, 4). |
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Answer» Find the coordinates of the midpoint of the segment with the given endpoints G(-4, 4) and H(6, 4). Solution: |
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| 3873. |
The largest 4-digit and smallest 4-digit numbers formed by using the digits 4,0,3,7 each only once respectively are: (1) 4370, 4307 (2) 3740, 3047 (3) 7403, 3704 (4) 7430, 3047 |
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Answer» The largest and smallest 4-digit numbersformed using the digits 4, 0, 3, 7 are 7430 and 3047 respectively. The largest and smallest 4-digit numbers are 1000 and 9999 respectively. |
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| 3874. |
A train covered a certain distance at a uniform speed. If the train would have been 10 km/h faster, it would have taken 2 hours less than the scheduled time. And, if the train were slower by 10 km/h,it would have taken 3 hours more than the scheduled time. Find the distance covered by the train. |
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Answer» The distance covered by the train will be 600 km. Speed is equal to the distance traveled divided by time. |
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| 3875. |
If vector u = (5, 3) and vector v = (-1, 4), what is the component form of vector u + v? |
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Answer» If vector u = (5, 3) and vector v = (-1, 4), what is the component form of vector u + v? Solution: |
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| 3876. |
Find the sum of the arithmetic sequence3, 5, 7, 9, ..., 21? |
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Answer» Thesum of the arithmetic sequence is 120. An arithmetic progression is asequence where the differences between every two consecutive terms are the same. |
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| 3877. |
What method would you choose to solve the equation 2x2-7 = 9? Explain why you chose this method. |
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Answer» What method would you choose to solve the equation 2x2-7 = 9? Explain why you chose this method. Solution: |
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| 3878. |
Which property of real numbers is shown below? 3 + ((-5) + 6) = (3 + (-5)) + 6 Commutative property of addition Associative property of multiplication Associative property of addition Commutative property of multiplication |
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Answer» Which property of real numbers is shown below? 3 + ((-5) + 6) = (3 + (-5)) + 6 Solution: |
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| 3879. |
Given that HCF of 306 and 657 is 9, Find their LCM. |
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Answer» LCM of 306 and 657 is 22338 HCF (Highest Common Factor) of twonumbers is the highest possible number which divides the two numbers exactly without any remainder and the least common multiple (LCM) of twonumbers is the smallest number among all commonmultiplesof the two numbers. |
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| 3880. |
What is the area of a triangle whose vertices areR(-4, 2),S(1, 2), and T(-5, -4)? |
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Answer» What is the area of a triangle whose vertices areR(-4, 2),S(1, 2), and T(-5,-4)? Solution: |
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| 3881. |
Find the value of t in the equation t + 5 + 3t = 1. |
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Answer» Find the value of t in the equation t + 5 + 3t = 1. Solution: |
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| 3882. |
Find the points on the cone z2= x2+ y2 that are closest to the point (4, 2, 0)? |
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Answer» Find the points on the cone z2= x2+ y2that are closest to the point (4, 2, 0)? Solution: |
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| 3883. |
If a $10,000 investment earns interest of $500 in one year, what is its rate of return? |
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Answer» If a $10,000 investment earns an interest of $500 in one year, therate of return is 5%. Simple interestis the interest paid on the principal at a given rate of interest. |
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| 3884. |
Use an Addition or Subtraction Formula to find the exact value of the expression: sin 255° |
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Answer» Use an Addition or Subtraction Formula to find the exact value of the expression: sin 255° Solution: |
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| 3885. |
If the multiplicative inverse of 15/3 is a/b, then find the value of (a+b). |
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Answer» The value of (a+b)for the given data is 18k (where k is the proportionality constant). (a+b) = 18 if the constant of proportionality is 1. The value of a + b can be obtained by mathematically interpreting the given data. |
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| 3886. |
Find the possible value or values of r in the quadratic equation r2 - 7r - 8 = 0. |
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Answer» Find the possible value or values of r in the quadratic equation r2- 7r - 8 = 0. Solution: |
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| 3887. |
How many Ml in an Oz? |
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Answer» 1 ounce is 29.5735 milliliters. A milliliter is one-thousandth of a liter. |
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| 3888. |
Two poles of height 6m and 11m stands on a plane ground, if the distance between their feet is 12m. Find the distance between their tops. |
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Answer» Two poles of height 6m and 11m stands on a plane ground, wheredistance between their feet is 12m, so the distance between the top of the two poles is 13 m. The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. |
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| 3889. |
Let f be the function given by f(x) = 3e2x and let g be the function given by g(x) = 6x3 at what value of x do the graphs of f and g have parallel tangent lines? |
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Answer» Let f be the function given by f(x) = 3e2xand let g be the function given by g(x) = 6x3at what value of x do the graphs of f and g have parallel tangent lines? Solution: |
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| 3890. |
What is the volume of a rectangular prism with length of 10cm, the width of 5cm and a height of 8cm? |
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Answer» What is the volume of a rectangular prism with length of 10cm, the width of 5cm and a height of 8cm? Solution: |
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| 3891. |
Evaluate the summation of 20 times 0.5 to the n minus 1 power, from n equals 3 to 12. |
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Answer» Evaluate the summation of 20 times 0.5 to the n minus 1 power, from n equals 3 to 12. Solution: |
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| 3892. |
The terminal side of an angle in standard position passes through p(-3, -4). What is the value of tan θ? |
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Answer» The terminal side of an angle in standard position passes through p(-3, -4). What is the value of tanθ? Solution: |
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| 3893. |
How many Milliliters in a Litre? |
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Answer» 1 liter is equal to 1000 milliliters. Both litresand millilitres are a measure of volume or capacity. |
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| 3894. |
Find the probability of getting 53 Sundays in a non-leap year: (1) 2/7 (2) 1/7 (3) 1/5 (4) 1/9 |
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Answer» The probability of getting 53 Sundays in a non-leap year is 1/7 The probability of an event is the ratio of a number of favorable outcomes to the total number of favorable outcomes of the event and lies between 0 and 1. |
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| 3895. |
Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (-1, 0). |
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Answer» Find the points on the ellipse 4x2+ y2= 4 that are farthest away from the point (-1, 0). Solution: |
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| 3896. |
How can you prove a triangle is an equilateral triangle? |
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Answer» If three sides of a triangle are equaland the measure of all three angles is equal to 60 degrees then thetriangle is an equilateral triangle. The distance formula can be used to prove that a triangle is an equilateral triangle. An Equilateral triangle is a triangle that hasthree equal sides and all three angles are also equal. It is also known as an equiangular triangle as the measure of every angle is equal to 60 degrees. |
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| 3897. |
How to Calculate Percentage Increase? |
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Answer» % increase = {(New number - original number)/original number} × 100 The percentage of a number represents afraction of 100. |
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| 3898. |
How far does a car travel in 1 second at 60 mph? |
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Answer» A car travels 0.017 miles in 1 second. Speed is a very important quantity by which the swiftness of a machine can be calculated. This is calculatedby the formula distance divided by time. They have units like miles per hour (mph) or meters per second (m/s). Let's solve an interesting problem related to them. |
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| 3899. |
Solve this equation: (x + 4)(x - 4) = 9 |
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Answer» Solve this equation: (x + 4)(x - 4) = 9 Solution: |
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| 3900. |
What is TheHCF of 404 and 96 by prime factorization? |
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Answer» HCF of 404and 96 by prime factorization is 4 The highest common factor of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder. It is also sometimes termed as the greatest common divisor(GCD) |
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