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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.
| 6951. |
What is the sum of the first 10 terms of the sequence defined by an = 4n - 3 |
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Answer» What is the sum of the first 10 terms of the sequence defined by an= 4n - 3 Solution: |
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| 6952. |
During a sale, color pencils were being sold in packs of 24 each and crayons in packs of 32 each. If you want full packs of both and the same number of pencils and crayons, how many of each would you need to buy? |
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Answer» We need to buy4 packs of color pencils and 3 packs of crayons. The given problem is based on the concept of LCM. |
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| 6953. |
Convert 10000 paise to Rupees |
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Answer» 10000 paise = Rs.100 We can convert paise to rupees by dividing the given amount by 100. |
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| 6954. |
What is the rate of change between the interval of x = 0 and x = π/2? |
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Answer» What is the rate of change between the interval of x = 0 and x = π/2?
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| 6955. |
What is 1/3of 1/3? |
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Answer» 1/3of 1/3is 1/9. Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 6956. |
y = -6x + 2 and -12x - 2y = -4, how many solutions does this linear system have? |
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Answer» y = -6x + 2 and -12x - 2y = -4, how many solutions does this linear system have? Solution: |
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| 6957. |
What is 3/25 as a decimal? |
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Answer» 3/25as a decimal is 0.12. Adecimalnumber can bedefinedas a number whose whole number part and the fractional part are separated by adecimalpoint. For example, 2.3 is a decimal number in which 2 is the whole number part and 3 is the fractional part. |
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| 6958. |
Simplify the following expression: a + 2c - 5b - c + a - b |
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Answer» Simplify the following expression: a + 2c - 5b - c + a - b Solution: |
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| 6959. |
Find the difference between the smallest 6-digit number and the greatest 4-digit number. |
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Answer» The difference between the smallest 6-digit number and the greatest 4-digit number is 90,001. The smallest 6-digit number is 100000 and the greatest 4-digit number is 9999. |
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| 6960. |
How to express 7to the power of 3? |
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Answer» 7to the power of 3can be expressed as 73= 7× 7× 7 = 343. Power in exponents is defined as the total number of times we use the number ina multiplication.For example, 2 to the power 3 means 2 is multiplied 3 times. |
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| 6961. |
4x2 is the gcf of this polynomial. 20x2y + 56x3 - ? Which could be the mystery term? 22x3,24x2y,26x2y,28y3 |
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Answer» 4x2 is the gcf of this polynomial. 20x2y + 56x3 - ? Which could be the mystery term? Solution: |
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| 6962. |
What is 1/3of 2? |
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Answer» 1/3of 2is 2/3. Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 6963. |
Solve the equation by expressing each side as a power of the same base and then equating exponents. 6x - 6 = 1 / 1296 |
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Answer» Solve the equation by expressing each side as a power of the same base and then equating exponents. 6x - 6= 1 / 1296 Solution: |
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| 6964. |
What are the solutions of the equation x6 + 6x3 + 5 = 0? Use factoring to solve. |
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Answer» What are the solutions of the equation x6+ 6x3+ 5 = 0? Use factoring to solve. Solution: |
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| 6965. |
What is 2/3of 8? |
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Answer» 2/3of 8is 16/3 or5⅓. Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 6966. |
Use the remainder theorem to completely factor p(x) = x3 - 6x2 + 11x - 6. |
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Answer» Use the remainder theorem to completely factor p(x) = x3 - 6x2 + 11x - 6. Solution: |
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| 6967. |
What is 9/16 as a decimal? |
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Answer» 9/16 as a decimal is0.5625 Adecimalnumber can bedefinedas a number whose whole number part and the fractional part is separated by adecimalpoint. |
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| 6968. |
b) What is man's average velocity for the whole journey? |
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Answer» For aman walking7 km in 2 hours and 2 km in 1 hour in the same direction the The average speed of a body in a certain time interval is the distance covered by the body in that time interval divided by time. |
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| 6969. |
a) What is man's average speed for the whole journey? |
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Answer» For aman walking7 km in 2 hours and 2 km in 1 hour in the same direction the The average speed of a body in a certain time interval is the distance covered by the body in that time interval divided by time. |
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| 6970. |
A man walks 7 km in 2 hours and 2 km in 1 hour in the same direction |
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Answer» For aman walking7 km in 2 hours and 2 km in 1 hour in the same direction the The average speed of a body in a certain time interval is the distance covered by the body in that time interval divided by time. |
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| 6971. |
Which of the following statements describes one part of completing the square for x2 + 4x = 32? Take the square root of 36 and add 2 Take the square root of 32 and subtract 2 Take the square root of 36 and subtract 2 Take the square root of 32 and add 2 |
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Answer» Which of the following statements describes one part of completing the square for x2+ 4x = 32? Solution: |
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| 6972. |
What is 3 degrees Celsius in Fahrenheit? |
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Answer» 3 °Celsius is equivalent to 37.4 °Fahrenheit. Celsius and Fahrenheit are two different types of units to measure temperature or we can say that they are two different scales to measure the temperature. |
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| 6973. |
What is the distance between two points? |
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Answer» The distance,d, between two points (x1, y1) and (x2, y2)is calculated with the formula: d = √ [ (x2− x1)2+ (y2− y1)2] The distance between any two points is the length of the line segment joining the points. |
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| 6974. |
Shekhar is a famous cricket player. He has so far scored 6980 runs in test matches. He wishes to complete 10,000 runs. How many more runs does he need? |
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Answer» After scoring 6980 runs in test matches, Shekhar would need 3020 runs more to complete 10,000 runs. Subtraction is the process of removing things from a group. |
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| 6975. |
What is 2/5 as a decimal? |
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Answer» 2/5 as a decimal is 0.4 Adecimalnumber can bedefinedas a number whose whole number part and the fractional part is separated by adecimalpoint. |
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| 6976. |
Determine the type of boundary line and shading for the graph of the inequality 2x + y > 4. Dashed line with shading on the side that includes the origin Solid line with shading on the side that does not include the origin Dashed line with shading on the side that does not include the origin Solid line with shading on the side that includes the origin |
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Answer» Determine the type of boundary line and shading for the graph of the inequality 2x + y > 4. Solution: |
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| 6977. |
What is the sum of the geometric sequence -4, 24, -144, ... if there are 6 terms? |
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Answer» What is the sum of the geometric sequence -4, 24, -144, ... if there are 6 terms? Solution: |
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| 6978. |
What is the quadratic formula used for? |
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Answer» What is the quadratic formula used for? Solution: |
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| 6979. |
Find the probability that in 200 tosses of a fair die, we will obtain at most 30 fives |
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Answer» Find the probability that in 200 tosses of a fair die, we will obtain at most 30 fives Solution: |
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| 6980. |
Multiply and simplify the product of(3 – 5i) (– 2 + 4i). |
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Answer» The product of(3 – 5i) (– 2 + 4i)is 14 + 22i. A complex number is in the form of x+ yi where xis a real part and y is an imaginary part. |
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| 6981. |
What is the arc length if θ = 6 pi over 5 and the radius is 2 cm? |
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Answer» What is the arc length if θ = 6 pi over 5 and the radius is 2 cm? Solution: |
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| 6982. |
Verify the identity cos (x - y) - cos (x + y) = 2 sin x sin y |
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Answer» Verify the identity cos (x - y) - cos (x + y) = 2 sin x sin y Solution: |
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| 6983. |
What is 45 minutes in decimal? |
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Answer» 45 minutes in decimal is0.75 Adecimalnumber can bedefinedas a number whose whole number part and the fractional part is separated by adecimalpoint. |
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| 6984. |
What is the sum of the arithmetic sequence 3, 9, 15..., if there are 34 terms? |
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Answer» What is the sum of the arithmetic sequence 3, 9, 15..., if there are 34 terms? Solution: |
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| 6985. |
Determine by inspection two solutions of the given first-order IVP. y' = 4y3/4, y(0) = 0 |
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Answer» Determine by inspection two solutions of the given first-order IVP. y' = 4y3/4, y(0) = 0 Solution: |
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| 6986. |
For the linear equation y = 2x + 4, if x increases by 1 point, how much will y increase? |
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Answer» There is an increment of 2 units in y. We will use the concept of linear equation in order to find increment in y. |
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| 6987. |
What is the probability that a five-card poker hand contains cards of five different kinds? |
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Answer» What is the probability that a five-card poker hand contains cards of five different kinds? Solution: |
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| 6988. |
What is a quadratic equation? How can you solve a quadratic equation by the factorization method? |
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Answer» An algebraic expression in the form of ax2+ bx + c = 0 is called a quadratic equation.We can solve a quadratic equation bythe factorization method by determining the factors of the equation. An algebraic expression in the form of ax2+ bx + c = 0 is called a quadratic equation. It has a degree value of 2. |
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| 6989. |
2x + 4y = 12 and y = x - 3. What is the solution to the system of equations? |
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Answer» 2x + 4y = 12 and y = x - 3. What is the solution to the system of equations? Solution: |
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| 6990. |
What is the amplitude, period, and midline of f(x) = 5 sin(x - π) + 3? |
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Answer» What is the amplitude, period, and midline of f(x) = 5 sin(x - π) + 3? Solution: |
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| 6991. |
Which point is on the line that passes through (0, 6) and is parallel to the given line with slope -1/6? (-12, 8), (-6, 6), (2, 8), (6, 0) |
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Answer» Which point is on the line that passes through (0, 6) and is parallel to the given line with slope -1/6? Solution: |
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| 6992. |
What is 15:00 military time? |
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Answer» 15:00 hours military timeis 03:00 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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| 6993. |
What is 3/4of 8? |
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Answer» 3/4of 8 is 6. Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 6994. |
How to express 3to the power of 2? |
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Answer» 3to the power of 2can be expressed as 32= 3× 3 = 9 Power in exponents is defined as the total number of times we use the number ina multiplication.For example 2 to the power 3 means 2 is multiplied 3 times. |
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| 6995. |
Is tan2x =sec2x - 1 an identity? |
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Answer» tan2x =sec2x - 1 is an identity. We can prove the above identity by using other trigonometric identities. |
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| 6996. |
Find the points on the lemniscate where the tangent is horizontal. 8(x2 + y2)2 = 25(x2- y2) |
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Answer» Find the points on the lemniscate where the tangent is horizontal. 8(x2+ y2)2= 25(x2- y2) Solution: |
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| 6997. |
How to express 2to the power of 7? |
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Answer» 2to the power of 7can be expressed as 27= 2× 2× 2 × 2× 2× 2× 2= 128 Power or exponents is defined as the total number of times we use the number ina multiplication.For example, 2 to the power 3 means 2 is multiplied 3 times. |
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| 6998. |
Solve the triangle. A = 45°, a = 33 and b = 26 |
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Answer» Solve the triangle. A = 45°, a = 33 and b = 26 Solution: |
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| 6999. |
What is 11/8 as a Mixed Number? |
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Answer» 11/8 as a mixed number can be written as \(1\dfrac{3}{8}\) We can see that 11/8 is an improper fraction that can be written as a mixed number consisting of a whole and fractional part. |
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| 7000. |
How to express 8to the power of 3? |
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Answer» 8to the power of 3can be expressed as 83= 8× 8× 8= 512 Power or exponents is defined as the total number of times we use the number ina multiplication.For example, 2 to the power 3 means 2 is multiplied 3 times. |
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