Practice Questions - SEA-AP003 - Shoolini U

Aptitude Development Practice Questions

Embrace the Challenge: While the answers have been marked. Some are intentionally marked wrong. This is your golden opportunity to explore and elevate your knowledge. Unleash your true potential and radiate brilliance! If you find yourself stuck, delve into each question using your preferred generative AI engine and seek to understand why it chose a specific answer. Grasping the underlying concept will pave the way for your enlightenment. Embrace your journey to knowledge!

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Calculate the surface area of a rectangular prism with a length of 25 cm, width of 15 cm, and height of 10 cm.

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What is the common ratio of a GP where the first term is 2 and the third term is 18?

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Find the sum of the first 5 terms of a GP with the first term 1 and the common ratio 2.

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Calculate the volume of a cone with a radius of 4 cm and a height of 9 cm.

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What is the volume of a cone with a radius of 5 cm and a slant height of 13 cm, assuming the height can be calculated?

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Calculate the volume of a cone with a radius of 3 cm and a height of 4 cm.

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Find the volume of a cone with a height of 10 cm and a circumference of 18.85 cm (use 3.14 for π).

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What is the volume of a cone with a surface area of 100 cm² and a radius of 4 cm?

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Calculate the simple interest on a principal of $2000 at an interest rate of 5% per annum for 3 years.

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What is the principal amount if the simple interest earned in 2 years at an annual rate of 6% is $240?

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Calculate the area of a triangle with a base of 10 cm and height of 12 cm.

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Find the lateral surface area of a cylinder with radius 7 cm and height 10 cm.

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What is the diagonal of a square with a side length of 8 cm?

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Calculate the volume of a frustum of a cone with a height of 10 cm, a top radius of 4 cm, and a bottom radius of 6 cm.

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If $5000 is invested at a simple interest rate of 4% per annum, how much interest will be earned in 5 years?

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Find the rate of simple interest if $800 earns $240 as interest in 3 years.

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How long will it take for an amount of $1000 to yield $300 as simple interest at an annual rate of 6%?

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What will be the total amount after 4 years if $1500 is invested at a simple interest rate of 7% per annum?

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A loan of $2500 is taken out at a simple interest rate of 8% per annum. How much interest will be paid in total after 6 years?

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If a sum of money doubles in 10 years at simple interest, what is the annual rate of interest?

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Find the simple interest on $3500 for 2 years at an annual rate of 9%.

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A cone has a radius of 6 cm and a volume of 452.16 cm³. Calculate its height.

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Calculate the volume of a cone with a radius of 7 cm and a height of 24 cm.

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Find the volume of a cone with a diameter of 8 cm and a slant height of 10 cm.

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Calculate the compound interest on a principal of $1000 at an interest rate of 10% per annum compounded annually for 2 years.

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What will be the amount after 3 years if $2000 is invested at an annual compound interest rate of 5%?

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If $1500 is invested at a compound interest rate of 6% per annum, how much will it grow to in 4 years?

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Find the compound interest on $5000 for 2 years at an annual rate of 8% compounded quarterly.

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Find the volume of a cone with a diameter of 10 cm and a height of 12 cm.

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If the radius of a cone is tripled and its height is halved, by what factor does its volume change?

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Calculate the volume of a sphere with a radius of 6 cm.

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Find the volume of a sphere with a diameter of 10 cm.

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If the radius of a sphere is doubled, by what factor does its volume increase?

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What is the volume of a sphere with a radius of 3.5 cm?

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Calculate the volume of a sphere with a radius of 2 cm.

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Find the volume of a sphere with a circumference of 31.4 cm.

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Calculate the total surface area of a cylinder with a radius of 7 cm and a height of 10 cm.

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Find the total surface area of a cylinder with a diameter of 8 cm and a height of 15 cm.

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What is the surface area of a cylinder with a radius of 5 cm and a height of 20 cm?

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Calculate the lateral surface area of a cylinder with a radius of 4 cm and a height of 6 cm.

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Find the total surface area of a cylinder with a radius of 3 cm and a height of 3 cm.

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What is the surface area of a cylinder with a radius of 6 cm and a height of 12 cm?

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Calculate the lateral surface area of a cylinder with a radius of 10 cm and a height of 10 cm.

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How long will it take for an amount of $1000 to become $1500 at a compound interest rate of 5% per annum?

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Calculate the compound interest on a principal of $3000 at an interest rate of 7% per annum compounded annually for 3 years.

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What is the effective annual rate if the nominal interest rate is 6% compounded semi-annually?

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If a sum of money triples in 12 years at compound interest, what is the annual rate of interest?

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Calculate the area of a rectangle with length 15 cm and width 10 cm.

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What is the total surface area of a cone with radius 5 cm and slant height 13 cm?

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Find the compound interest on $3500 for 3 years at an annual rate of 4% compounded annually.

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For a principal of $6000, at what compound annual interest rate will the amount double in 10 years?

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For a principal of $4000, at what simple annual interest rate will the interest amount to $720 in 3 years?

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If $6000 is borrowed at a simple interest rate of 5% per annum, what will be the total amount to be paid after 2 years?

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Calculate the simple interest on a loan of $2500 at a rate of 4% per annum for a period of 1 year 6 months.

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Find the total surface area of a cylinder with a diameter of 14 cm and a height of 25 cm.

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What is the surface area of a cylinder with a radius of 9 cm and a height of 30 cm?

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Calculate the lateral surface area of a cylinder with a radius of 2.5 cm and a height of 5 cm.

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What amount will be received on a principal of $8000 at a simple interest rate of 3% per annum after 4 years?

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A sum of $5000 is invested at a simple interest rate of 7% per annum. How much interest will it earn in 2.5 years?

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What will be the simple interest on a principal of $3000 at an interest rate of 6% per annum for 2 years and 6 months?

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In order to earn $1000 as simple interest in 5 years, what should be the principal if the annual interest rate is 4%?

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What is the first term of an AP where the 5th term is 20 and the common difference is 3?

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Find the sum of the first 10 terms of an AP with the first term 5 and the common difference 3.

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In a GP, if the 4th term is 16 and the 7th term is 128, what is the first term?

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What is the volume of a sphere with a surface area of 314 cm²?

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A sphere has a radius of 4.5 cm. Calculate its volume.

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The 5th term of a GP is 81. If the common ratio is 3, what is the first term?

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What is the common ratio of a GP where the 5th term is 1/32 and the 9th term is 1/512?

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Calculate the sum of the first 10 terms of a GP where the first term is 5 and the common ratio is 1/2.

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In a GP, the 3rd term is 20 and the 6th term is 160. What is the 9th term?

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If the sum of the first 3 terms of a GP is 14 and the sum of the first 4 terms is 26, what is the first term?

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In an AP, if the 3rd term is 9 and the 7th term is 19, what is the 10th term?

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The 15th term of an AP is 50. If the common difference is 2, what is the first term?

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What is the common difference of an AP where the 4th term is 16 and the 9th term is 31?

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In a GP, if the 5th term is 32 and the 8th term is 256, find the 11th term.

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If a sphere's volume is 113.1 cm³, what is its radius?

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Calculate the volume of a sphere with a radius of 12 cm.

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Calculate the surface area of a rectangular box with length 10 cm, width 6 cm, and height 4 cm.

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Find the surface area of a rectangular box with dimensions 8 cm by 5 cm by 3 cm.

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What is the surface area of a rectangular solid with length 12 cm, width 7 cm, and height 5 cm?

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Calculate the total surface area of a rectangular prism with sides measuring 15 cm, 9 cm, and 4 cm.

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Find the surface area of a rectangular box where the length is 20 cm, width is 10 cm, and height is 5 cm.

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What is the surface area of a rectangular cuboid with dimensions 6 cm, 4 cm, and 2 cm?

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Find the volume of a cube with each side measuring 5 cm.

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What is the circumference of a circle with a radius of 7 cm?

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Calculate the surface area of a sphere with a radius of 4 cm.

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Find the volume of a cylinder with radius 3 cm and height 10 cm.

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A GP consists of 20 terms. If the first term is 1 and the last term is 1,048,576, find the common ratio.

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Calculate the sum of the first 15 terms of an AP where the first term is 7 and the last term is 57.

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In an AP, the 5th term is four times the 2nd term. If the 5th term is 20, what is the first term?

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If the sum of the first 6 terms of an AP is 36 and the sum of the first 11 terms is 81, what is the sum of the first 16 terms?

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In an AP, if the sum of the first 12 terms is 72 and the sum of the first 15 terms is 105, find the 15th term.

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An AP consists of 50 terms. If the first term is 1 and the last term is 100, find the 25th term.

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Find the surface area of a cube with each side measuring 8 cm.

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What is the surface area of a rectangular solid with dimensions 9 cm, 6 cm, and 3 cm?

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