GMAT · Practice Sheet 36

1. 1.

   Quantitative Aptitude

   Find the compound interest on $1,000 at 20% per annum compounded annually for 2 years.

   Formula:Compound Interest

   $A = P\left(1+\dfrac{R}{100}\right)^{T}$

   View formula →
2. 2.

   Mathematics

   If f(x) = 3x³ + 6x² + 3x, find f′(2).

   Formula:Derivative of a Polynomial

   $\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$

   View formula →
3. 3.

   Mathematics

   Evaluate ∫ from 1 to 5 of 1x^3 dx.

   Formula:Definite Integral of a Power

   $\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}$

   View formula →
4. 4.

   Quantitative Aptitude

   Find the average of these 5 numbers: 48, 51, 65, 31, 34.

   Formula:Arithmetic Mean

   $\bar{x} = \dfrac{\sum x}{n}$

   View formula →
5. 5.

   Quantitative Aptitude

   Find the compound interest on $7,000 at 10% per annum compounded annually for 2 years.

   Formula:Compound Interest

   $A = P\left(1+\dfrac{R}{100}\right)^{T}$

   View formula →
6. 6.

   Mathematics

   Evaluate log base 2 of 32.

   Formula:Logarithm Evaluation

   $\log_{b}(b^{k}) = k$

   View formula →
7. 7.

   Quantitative Aptitude

   Two fair dice are rolled. What is the probability that the sum of the numbers is 10?

   Formula:Probability (two dice)

   $P = \dfrac{\text{favourable}}{\text{total}}$

   View formula →
8. 8.

   Quantitative Aptitude

   The sum of the ages of two people is 67 years, and one is 11 years older than the other. Find their ages.

   Formula:Ages (linear equations)

   $x + (x+d) = S$

   View formula →
9. 9.

   Quantitative Aptitude

   A vehicle covers 390 km in 5 hours. Find its average speed.

   Formula:Speed, Distance & Time

   $\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$

   View formula →
10. 10.

    Mathematics

    In an arithmetic progression with first term 13 and common difference 10, find term number 27.

    Formula:AP nth Term

    $a_n = a + (n-1)d$

    View formula →
11. 11.

    Quantitative Aptitude

    Pipe A fills a tank in 15 hours and pipe B in 5 hours. If both are opened together, how long to fill the tank?

    Formula:Pipes & Cisterns

    $T = \dfrac{xy}{x+y}$

    View formula →
12. 12.

    Mathematics

    Evaluate ∫ from 0 to 5 of 3x^3 dx.

    Formula:Definite Integral of a Power

    $\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}$

    View formula →
13. 13.

    Quantitative Aptitude

    An item is bought for $200 and sold for $250. Find the profit percentage.

    Formula:Profit Percentage

    $\text{Profit\%} = \dfrac{SP-CP}{CP}\times 100$

    View formula →
14. 14.

    Mathematics

    If f(x) = 4x³ + 5x² + 4x, find f′(1).

    Formula:Derivative of a Polynomial

    $\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$

    View formula →
15. 15.

    Mathematics

    Evaluate log base 2 of 32.

    Formula:Logarithm Evaluation

    $\log_{b}(b^{k}) = k$

    View formula →
16. 16.

    Mathematics

    Find the sum of the first 7 terms of a GP with first term 6 and common ratio 3.

    Formula:GP Sum of n Terms

    $S_n = a\,\dfrac{r^{n}-1}{r-1}$

    View formula →
17. 17.

    Quantitative Aptitude

    A vehicle covers 410 km in 5 hours. Find its average speed.

    Formula:Speed, Distance & Time

    $\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$

    View formula →
18. 18.

    Mathematics

    Find the slope of the line through (7, -8) and (0, -2).

    Formula:Slope of a Line

    $m = \dfrac{y_2-y_1}{x_2-x_1}$

    View formula →
19. 19.

    Quantitative Aptitude

    The marked price of an item is $700. After a 25% discount, find the selling price.

    Formula:Discount & Selling Price

    $SP = MP\left(1-\dfrac{d}{100}\right)$

    View formula →
20. 20.

    Quantitative Aptitude

    In how many ways can 2 objects be chosen from 10 distinct objects? (Find ⁿᴄᵣ for n = 10, r = 2.)

    Formula:Combinations

    $^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$

    View formula →

© FormulaWon — formulawon.app · Answers & step-by-step working available on the solutions sheet.