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MCQOPTIONS
This section includes 1894 Mcqs, each offering curated multiple-choice questions to sharpen your General Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 1751. |
If a + b = 8 and a + a2 b + b + ab2 = 128 then the positive value of a3 + b3 is: |
| A. | 152 |
| B. | 224 |
| C. | 96 |
| D. | 344 |
| Answer» B. 224 | |
| 1752. |
A total of 57 sweets were distributed among 10 children such that each girl gets 6 sweets and each boy gets 5 sweets. Find the number of boys. |
| A. | 6 |
| B. | 4 |
| C. | 3 |
| D. | 5 |
| Answer» D. 5 | |
| 1753. |
If the sum of the squares of three consecutive natural numbers 110, then the sum of their cubes is |
| A. | 625 |
| B. | 654 |
| C. | 684 |
| D. | 725 |
| Answer» D. 725 | |
| 1754. |
If x2 + y2 + z2 = xy + yz + zx, then what is the value of (7x + 3y – 5z)/5x? |
| A. | 0 |
| B. | 1 |
| C. | 5 |
| D. | 33/5 |
| Answer» C. 5 | |
| 1755. |
Find the unit digit of the expression312 + 322 + 332 + 342 + 352 + 362 + 372 + 382 + 392 |
| A. | 1 |
| B. | 4 |
| C. | 5 |
| D. | 9 |
| Answer» D. 9 | |
| 1756. |
If f(5 + x) = f(5- x) for every real x, and f(x) = 0 has four distinct real roots, then the sum of these roots is |
| A. | 10 |
| B. | 0 |
| C. | 40 |
| D. | 20 |
| Answer» E. | |
| 1757. |
In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answerI. a2 + 10a + 21 = 0II. 28b2 + 15b + 2 = 0 |
| A. | a < b |
| B. | a > b |
| C. | a ≤ b |
| D. | a ≥ b |
| E. | a = b or the relationship cannot be determined |
| Answer» B. a > b | |
| 1758. |
If 172020 is divided by 18, then what is the remainder ? |
| A. | 1 |
| B. | 2 |
| C. | 16 |
| D. | 17 |
| Answer» B. 2 | |
| 1759. |
Find the value of the following expression.106 × 106 + 94 × 94 |
| A. | 20036 |
| B. | 20049 |
| C. | 20072 |
| D. | 20098 |
| Answer» D. 20098 | |
| 1760. |
If (x + 3) is a factor of x3 + 3x2 + 4x + k, then what is the value of k? |
| A. | 12 |
| B. | 24 |
| C. | 36 |
| D. | 72 |
| Answer» B. 24 | |
| 1761. |
Find the last two digits of: 15 × 37 × 63 × 51 × 97 × 17 |
| A. | 35 |
| B. | 45 |
| C. | 55 |
| D. | 85 |
| Answer» B. 45 | |
| 1762. |
A man travelled a distance of 60 km in 7 hours. He travelled partly on foot @ 6 km/hr and partly on bicycle @ 12 km/hr. What is the distance (in kms) travelled on foot? |
| A. | 15 |
| B. | 9 |
| C. | 48 |
| D. | 24 |
| Answer» E. | |
| 1763. |
If P3×2, Q3×4 and R3×4 are matrices, then the product [Q(PT R)-1 QT] is |
| A. | a matrix of order (3 × 4) |
| B. | undefined matrix |
| C. | a scalar matrix |
| D. | matrix of order (3 × 3) |
| Answer» C. a scalar matrix | |
| 1764. |
In the following question, two equations numbered I and II are given. You have to solve both the equations and give answer:I. x2 – 9 = 0II. y2 + 6y + 9 = 0 |
| A. | x > y |
| B. | x ≥ y |
| C. | x < y |
| D. | x ≤ y |
| E. | x = y or the relation cannot be determined |
| Answer» C. x < y | |
| 1765. |
If x - 1/x = 6, then x3 - 1/x3 is equal to∶ |
| A. | 234 |
| B. | 198 |
| C. | 176 |
| D. | 216 |
| Answer» B. 198 | |
| 1766. |
If p + 1/p = 4 then what is the value of p2 +1/p2 ? |
| A. | 10 |
| B. | 14 |
| C. | 21 |
| D. | 9 |
| Answer» C. 21 | |
| 1767. |
If a + b + c = 7, and a2 + b2 + c2 = 33, then what is the value of a3 + b3 + c3 – 3abc? |
| A. | 257 |
| B. | 287 |
| C. | 343 |
| D. | 175 |
| Answer» E. | |
| 1768. |
If (x2 - 4x + 1) = 0, then find the value of \(\frac{{{\rm{\;}}{x^3} + \frac{1}{{{x^3}}}}}{{{\rm{\;}}{x^2} + \frac{1}{{{x^2}}}}}\).A. 26/7B. 13/7C. 6/7D. 33/7 |
| A. | D |
| B. | A |
| C. | B |
| D. | C |
| Answer» C. B | |
| 1769. |
If x + y = 1 and xy(xy – 2) = 12, then the value of x4 + y4 is∶ |
| A. | 23 |
| B. | 19 |
| C. | 20 |
| D. | 25 |
| Answer» E. | |
| 1770. |
If x2 - 8x + 1 = 0, then what is the value of \({x^2} + \frac{1}{{{x^2}}}\)? |
| A. | 18 |
| B. | 34 |
| C. | 40 |
| D. | 62 |
| Answer» E. | |
| 1771. |
If \(a = \frac{1}{{a - 5}}\)(a > 0), then the value of a + 1/a is |
| A. | √29 |
| B. | √28 |
| C. | – √29 |
| D. | √27 |
| Answer» B. √28 | |
| 1772. |
A fraction is greater than its reciprocal by 72/77. What is the fraction? |
| A. | 7/11 |
| B. | 11/7 |
| C. | 4/7 |
| D. | 7/4 |
| Answer» C. 4/7 | |
| 1773. |
Determine the value of x2 + y2 when x3 - y3 = 54, x - y = 18 and xy = 2 |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» C. 2 | |
| 1774. |
For the matrix\(A = \left[ {\begin{array}{*{20}{c}}1&4\\2&3\end{array}} \right]\)the expression A5 – 4A4 – 7A3 + 11A2 – A – 10I is equivalent to |
| A. | A2 + A + 5I |
| B. | A + 5I |
| C. | A2 + 5I |
| D. | A2 + 2A + 6I |
| Answer» C. A2 + 5I | |
| 1775. |
Consider the following statements:1) Unit digit in 17174 is 7.2) Difference of the squares of any two odd numbers is always divisible by 8.3) Adding 1 to the product of two consecutive odd numbers makes it a perfect square.Which of the above statements are correct? |
| A. | 1, 2 and 3 |
| B. | 1 and 2 only |
| C. | 2 and 3 only |
| D. | 1 and 3 only |
| Answer» D. 1 and 3 only | |
| 1776. |
In the following question, two equations numbered I and II are given. You have to solve both the equations and give answer:I. x2 – 20x + 91 = 0II. y2 – 34y + 273 = 0 |
| A. | x > y |
| B. | x ≥ y |
| C. | x < y |
| D. | x ≤ y |
| E. | x = y or the relation cannot be determined |
| Answer» E. x = y or the relation cannot be determined | |
| 1777. |
If f(x) and g(x) are polynomials of degree p and q respectively, then the degree of [f(x) ± g(x)] (if it is non zero) is |
| A. | Greater than min (p, q) |
| B. | Greater than max (p, q) |
| C. | Less than or equal to max (p, q) |
| D. | Equal to min (p, q) |
| Answer» D. Equal to min (p, q) | |
| 1778. |
Determine the value of ‘x’ in \(x{\rm{}} = {\rm{}}\frac{1}{{1{\rm{\;}} + {\rm{\;}}\sqrt 2 }}{\rm{}} + {\rm{}}\frac{1}{{\sqrt 2 {\rm{\;}} + {\rm{\;}}\sqrt 3 }}{\rm{}} + {\rm{}}\frac{1}{{\sqrt 3 {\rm{\;}} + {\rm{\;}}2}}\) |
| A. | -1 |
| B. | 0 |
| C. | 1 |
| D. | 2 |
| Answer» D. 2 | |
| 1779. |
If A is \(\left[ {\begin{array}{*{20}{c}} 8&5\\ 7&6 \end{array}} \right]\) then the value of |A121 - A120| |
| A. | 0 |
| B. | 1 |
| C. | 120 |
| D. | 121 |
| Answer» B. 1 | |
| 1780. |
Find the zero of the function f(x) = (x - 17) (x - 7) |
| A. | 0. -7 |
| B. | 2, 7 |
| C. | 17, 7 |
| D. | -17, -7 |
| Answer» D. -17, -7 | |
| 1781. |
If x + 1/x = 3, then x3 + 1/x3 is equal to: |
| A. | 18 |
| B. | 27 |
| C. | 24 |
| D. | 36 |
| Answer» B. 27 | |
| 1782. |
If x + 1/x = 8, then what is x2 + 1/x2 equal to? |
| A. | 52 |
| B. | 46 |
| C. | 62 |
| D. | 0 |
| Answer» D. 0 | |
| 1783. |
If a2 + b2 + c2 + 1/a2 + 1/b2 + 1/c2 = 6, then what is the value of a2 + b2 + c2? |
| A. | 3 |
| B. | 6 |
| C. | -3 |
| D. | 2 |
| Answer» B. 6 | |
| 1784. |
If x2 – 4x + 4 = 0, then the value of 16(x4 – 1/x4) is: |
| A. | 127 |
| B. | 255/16 |
| C. | 255 |
| D. | 127/16 |
| Answer» D. 127/16 | |
| 1785. |
If 24√3x3 + 5√5y3 = (2√3x + √5y) × (Ax2 + Bxy + Cy2) then what is the value of (A2 – B2 + C2)? |
| A. | 109 |
| B. | 108 |
| C. | 139 |
| D. | 128 |
| Answer» B. 108 | |
| 1786. |
If a3 + b3 = 1344 and a + b = 28, then (a + b)2 - 3ab is equal to: |
| A. | 16 |
| B. | 32 |
| C. | 48 |
| D. | 24 |
| Answer» D. 24 | |
| 1787. |
If \(x + \frac{1}{x} = \sqrt 3\), then the value of x18 + x12 + x6 + 1 is: |
| A. | 0 |
| B. | 2 |
| C. | 3 |
| D. | 1 |
| Answer» B. 2 | |
| 1788. |
If \(2x + \frac{1}{{2x}} = 2\), then what is the value of \(\sqrt {2{{\left( {\frac{1}{x}} \right)}^4} + {{\left( {\frac{1}{x}} \right)}^5}} \)? |
| A. | 1 |
| B. | 2 |
| C. | 4 |
| D. | 8 |
| Answer» E. | |
| 1789. |
Let ∑un be a series of positive terms. Given that ∑un is convergent and also\(\begin{array}{*{20}{c}} {lt}\\ {n \to \infty } \end{array}\frac{{{u_{n + 1}}}}{{{u_n}}}\) exists, then the said limit is |
| A. | Necessarily equal to 1 |
| B. | Necessarily greater than 1 |
| C. | Necessarily less than 1 |
| D. | May be equal to 1 or less than 1 |
| Answer» D. May be equal to 1 or less than 1 | |
| 1790. |
If a + b + c = 7 and a3 + b3 + c3 - 3abc = 175, then what is the value of ab + bc + ca? |
| A. | 9 |
| B. | 7 |
| C. | 10 |
| D. | 8 |
| Answer» E. | |
| 1791. |
If \(a-\frac{1}{a}=3.\) then \({{a}^{6}}+\frac{1}{{{a}^{6}}}\) is equal to: |
| A. | 1298 |
| B. | 996 |
| C. | 729 |
| D. | 1331 |
| Answer» B. 996 | |
| 1792. |
If (x - 7)3 + (2x + 8)3 + (2x - 3)3 = 3(x - 7) (2x + 8) (2x - 3), then what is the value of x? |
| A. | 2.4 |
| B. | 1.6 |
| C. | 1.2 |
| D. | 0.4 |
| Answer» E. | |
| 1793. |
If p3 + q3 + r3 - 3pqr = 4 and a = q + r, b = r + p and c = p + q, then what is the value of a3 + b3 + c3 - 3abc? |
| A. | 4 |
| B. | 8 |
| C. | 2 |
| D. | 12 |
| Answer» C. 2 | |
| 1794. |
For any vector \({\rm{\vec a}}\) \({\left| {{\rm{\vec a}} \times {\rm{\hat i}}} \right|^2} + {\left| {{\rm{\vec a}} \times {\rm{\hat j}}} \right|^2} + {\left| {{\rm{\vec a}} \times {\rm{\hat k}}} \right|^2}\) is equal to |
| A. | \({\left| {{\rm{\vec a}}} \right|^2}\) |
| B. | \(2{\left| {{\rm{\vec a}}} \right|^2}\) |
| C. | \(3{\left| {{\rm{\vec a}}} \right|^2}\) |
| D. | \(4{\left| {{\rm{\vec a}}} \right|^2}\) |
| Answer» C. \(3{\left| {{\rm{\vec a}}} \right|^2}\) | |
| 1795. |
If the system of equations 7x - y - 5 = 0 and ax - 5y - 25 = 0 has infinite number of solutions, then for k \(\in\) IR the general solution (x, y) of the system is |
| A. | (k + 5)/7, k |
| B. | \((k,\frac{a}{7})\) |
| C. | k, (k - 5)/7 |
| D. | \((7k - \frac{a}{7}k)\) |
| Answer» B. \((k,\frac{a}{7})\) | |
| 1796. |
If sec θ and sin θ (0 < θ < 90) are the roots of the equation \(\sqrt{6} x^2 - kx + \sqrt{6}=0\), then the value of k is: |
| A. | \(2\sqrt{3}\) |
| B. | \(3\sqrt{2}\) |
| C. | \(\sqrt{3}\) |
| D. | \(3\sqrt{3}\) |
| Answer» E. | |
| 1797. |
If \(\frac{{ab - 1}}{b} = \frac{{cb - 1}}{c} = \frac{{ac - 1}}{a},\) then find the value of \(\left( {\frac{a}{c} + \frac{b}{a} + \frac{c}{b}} \right)\) |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» D. 4 | |
| 1798. |
If y = 13 + 23 + 33 + 43 + 53 + 63, then find the value of (y - 1). |
| A. | 429 |
| B. | 439 |
| C. | 440 |
| D. | 441 |
| Answer» D. 441 | |
| 1799. |
If a3 + b3 = 217 and a + b = 7, then the value of ab is: |
| A. | -1 |
| B. | 6 |
| C. | -6 |
| D. | 7 |
| Answer» C. -6 | |
| 1800. |
If x + y = 7 and xy = 12, then the value of \(\left(\dfrac{1}{x^3} + \dfrac{1}{y^3}\right)\) is: |
| A. | \(\dfrac{191}{1728}\) |
| B. | 1 |
| C. | \(\dfrac{97}{1728}\) |
| D. | \(\dfrac{91}{1728}\) |
| Answer» E. | |