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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.
| 4551. |
Find the angle between the hands of a clock at 5:15. |
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Answer» Find the angle between the hands of a clock at 5:15. Solution: |
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| 4552. |
Find the length of AB , given that DB is a median of the triangle and AC = 24. |
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Answer» Find the length of AB , given that DB is a median of the triangle and AC = 24.
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| 4553. |
Can 72 and 20 respectively be the LCM and HCF of two numbers? Give reason. |
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Answer» No, 72 and 20 cannot be the LCM and HCF of two numbers because when 72 is divided by 20, it leaves a remainder of 12. The LCMof two or more numbers is the smallest number among all common multiples of the given numbers. The HCFof two or more numbers is the highest number among all the common factors of the given numbers. |
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| 4554. |
What is the completely factored form of x4y - 4x2y - 5y? |
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Answer» What is the completely factored form of x4y - 4x2y - 5y? Solution: |
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| 4555. |
What is the product of (3a + 2)(4a2 - 2a + 9)? |
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Answer» What is the product of (3a + 2)(4a2- 2a + 9)? Solution: |
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| 4556. |
What transformations change the graph of f(x) to the graph of g(x). f(x) = x2, g(x) = (x + 3)2- 7 |
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Answer» What transformations change the graph of f(x) to the graph of g(x). f(x) = x2,g(x) = (x + 3)2- 7 Solution: |
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| 4557. |
What is 1.3 as a fraction? |
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Answer» 1.3 as a fraction is 13/10. A fraction can bea portion or section of any quantity out of a whole, where, the whole can be any positive integer. |
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| 4558. |
What does it mean for a relation to be a function? |
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Answer» What does it mean for a relation to be a function? The relation that defines the set of inputs to the set of outputs is called the functions. |
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| 4559. |
What is a correct first step in solving the inequality -4(3 - 5x) ≥ -6x + 9? -12 - 20x ≤ -6x + 9 -12 - 20x ≥ -6x + 9 -12 + 20x ≤ -6x + 9 -12 + 20x ≥ -6x + 9 |
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Answer» What is a correct first step in solving the inequality -4(3 - 5x) ≥ -6x + 9? Solution: |
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| 4560. |
If the roots of a quadratic equation are 1±√5, then the product of the roots is: |
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Answer» If the roots of a quadratic equation are 1±√5, then the product of the roots is: Solution: |
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| 4561. |
The density of a fish tank is 0.5 ft3. There are 30 fish in the tank.What is the volume of the tank? 60 ft3,120 ft3,6 ft3,15 ft3 |
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Answer» The density of a fish tank is 0.5 ft3. There are 30 fish in the tank. What is the volume of the tank? Solution: |
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| 4562. |
a) 2 and 5 b) 3 and 5 c) 2 and 6 d) 6 and 7 |
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Answer» option (c) - The HCF of 2 and 6 is not 1. Explanation: |
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| 4563. |
Which pair of numbers does not have the HCF as 1? |
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Answer» option (c) - The HCF of 2 and 6 is not 1. Explanation: |
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| 4564. |
What is 2/3plus 2/3? |
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Answer» 2/3 plus 2/3is 4/3 or 1⅓. The question is based on the addition of fractions. |
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| 4565. |
(e) One ray in common |
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Answer» A figure which is formed by two rays or lines that shares a common endpoint (known as a vertex) is called an angle. |
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| 4566. |
(d) Four points in common |
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Answer» A figure which is formed by two rays or lines that shares a common endpoint (known as a vertex) is called an angle. |
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| 4567. |
(c) Three points in common |
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Answer» A figure which is formed by two rays or lines that shares a common endpoint (known as a vertex) is called an angle. |
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| 4568. |
(b) Two points in common |
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Answer» A figure which is formed by two rays or lines that shares a common endpoint (known as a vertex) is called an angle. |
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| 4569. |
(a) One point common |
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Answer» A figure which is formed by two rays or lines that shares a common endpoint (known as a vertex) is called an angle. |
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| 4570. |
Draw rough diagrams of two angles that have, |
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Answer» A figure which is formed by two rays or lines that shares a common endpoint (known as a vertex) is called an angle. |
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| 4571. |
The sum of 3 consecutive even numbers is 270. What is the first number in this sequence? |
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Answer» The sum of 3 consecutive even numbers is 270. What is the first number in this sequence? Solution: |
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| 4572. |
How to find the nth term of a geometric sequence? |
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Answer» nth term of the geometric progression can be found out using the formula an= ar^{n-1} A geometric sequence can comprise any number of terms, and we can calculate the exact value of any term in that sequence. |
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| 4573. |
What is 9/10 as a percent? |
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Answer» 9/10 can be written as 90%. Converting afractionto percent means converting the whole into 100 and find how many are considered out of 100. |
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| 4574. |
What is the quotient of 18/1000? |
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Answer» What is the quotient of 18/1000? Solution: |
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| 4575. |
Find an equation of the tangent line to the curve at the given point. y = √x , at point (36, 6)? |
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Answer» Find an equation of the tangent line to the curve at the given point. y = √x , at point (36, 6)? Solution: |
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| 4576. |
What is 2 to the 8thpower? |
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Answer» The value of 2 raised to 8thpower i.e., 28is 256. The exponent of a number shows how many times the number is multiplied by itself. |
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| 4577. |
Evaluate: 32 + (7 − 2) × 4 − 6 / 3 |
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Answer» Answer 32 + (7 − 2) × 4 − 6/3 is equal to 50. We will use the concept of BODMAS to evaluate the expression. |
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| 4578. |
What is 2 to the 10th power? |
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Answer» The value of 2 raised to 10thpower i.e., 210is 1024. The exponent of a number shows how many times the number is multiplied by itself. |
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| 4579. |
If f(x) = x2 and g(x) = x + 6, find g(f(0)). |
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Answer» If f(x) = x2 and g(x) = x + 6, find g(f(0)). Solution: |
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| 4580. |
What is 5of 500? |
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Answer» 5of 500is 2500. Multiplication, also known as repeated addition, isone of the four basic operations of arithmetic. |
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| 4581. |
A rectangle has dimensions 40m× 25m. If the length and breadth are increased by 15% find the percentage increases in its area. |
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Answer» The percentage increase in the area of the rectangle is 32.25%. The area of the rectangle can be obtained by multiplying its length and breadth. |
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| 4582. |
F(x) = 3 sin x + 3 cos x, 0 ≤ x ≤ 2π. Find the interval in which f is concave up and concave down. Find the inflection points |
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Answer» F(x) = 3 sin x + 3 cos x, 0 ≤ x ≤ 2π. Find the interval in which f is concave up and concave down. Find the inflection points Solution: |
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| 4583. |
What is 10 to the 0 power? |
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Answer» 10 to the 0 power is 100= 1. 10 to the 0 power can be re-written as 100. |
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| 4584. |
What is 1mod 4? |
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Answer» 1mod 4is 1. The mod or modulusor modulois the remainder after dividing one number by another. |
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| 4585. |
What is the prime factorization of 48? |
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Answer» What is the prime factorization of 48? Solution: |
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| 4586. |
Car A, moving in a straight line at a constant speed of 20. meters per second, is initially 200 meters behind car B , moving in the same straight line at a constant speed of 15 meters per second. how far must car A travel from this initial position before it catches up with car B? 200m,400m,800m,1000m |
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Answer» Car A, moving in a straight line at a constant speed of 20. meters per second, is initially 200 meters behind car B , moving in the same straight line at a constant speed of 15 meters per second. how far must car A travel from this initial position before it catches up with car B? Solution: |
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| 4587. |
What is the degree of the polynomial function f(x) = 2x3 + 7x5 - 4x - 12? |
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Answer» What is the degree of the polynomial function f(x) = 2x3 + 7x5 - 4x - 12? Solution: |
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| 4588. |
Find the equation in standard form of the line passing through the points (2, -3) and (4, 2) |
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Answer» Find the equation in standard form of the line passing through the points (2, -3) and (4, 2) Solution: |
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| 4589. |
What is the simplified form of (x - 2)(2x + 3)? |
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Answer» What is the simplified form of (x - 2)(2x + 3)? Solution: |
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| 4590. |
What is 2 to the 6th power? |
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Answer» The value of 2raised to 6thpower i.e., 26is 64. The exponentor power of a number shows how many times the number is multiplied by itself. |
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| 4591. |
What is 1mod 3? |
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Answer» 1mod 3is 1. The mod or modulusor modulois the remainder after dividing one number by another. |
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| 4592. |
List the first five terms of the sequence. an = (-1)n - 1 /4n. |
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Answer» List the first five terms of the sequence. an = (-1)n - 1 /4n. Solution: |
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| 4593. |
What is the prime factorization of 18? |
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Answer» What is the prime factorization of 18? Solution: |
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| 4594. |
What is 33⅓as a decimal? |
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Answer» 33⅓in decimal form is 33.3333. Adecimalnumbercan bedefinedas a number whose whole number part and the fractional part are separated by adecimalpoint. |
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| 4595. |
What is 20:30 military time? |
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Answer» 20:30 hours military timeis 08:30 PM in 12 hours clock. Military time is a method of measuring the time based on the full 24 hours of the day. |
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| 4596. |
What is the inverse function of f(x ) = -2x - 6? |
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Answer» What is the inverse function of f(x ) = -2x - 6? Solution: |
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| 4597. |
5.23 in., 41.87 in., 52.36 in., 104.67 in. |
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Answer» What is the approximate length of arc s on the circle? 5.23 in., 41.87 in., 52.36 in., 104.67 in. Solution: |
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| 4598. |
What is the approximate length of arc s on the circle? |
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Answer» What is the approximate length of arc s on the circle? 5.23 in., 41.87 in., 52.36 in., 104.67 in. Solution: |
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| 4599. |
What is 70 degrees Fahrenheit in Celsius? |
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Answer» 70 degrees Fahrenheit is equal to 21.11Celsius. The two different types of units or scales- CelsiusandFahrenheit, are used formeasuringtemperature. |
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| 4600. |
A vessel has 4 liters and 500 ml of curd. In how many glasses each of 25 ml capacity, can it be filled? |
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Answer» Curdcan be filled in 180 glasses from the vessel. There are 1000 ml in 1 liter. |
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