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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.
| 851. |
If a3 – b3 = 208 and a – b = 8, then (a + b)2 – ab is equal to∶ |
| A. | 42 |
| B. | 38 |
| C. | 52 |
| D. | 26 |
| Answer» E. | |
| 852. |
If a + b + c = 8 and ab + bc + ca = 11, then what is the value of a3 + b3 + c3 - 3abc? |
| A. | 248 |
| B. | 254 |
| C. | 256 |
| D. | 236 |
| Answer» B. 254 | |
| 853. |
In the following question, two equations numbered I and II are given. You have to solve both the equations and give answer:I. x2 – 9x + 18 = 0II. 2y2 + y - 6 = 0 |
| A. | x > y |
| B. | x ≥ y |
| C. | x < y |
| D. | x ≤ y |
| E. | x = y or the relation cannot be determined |
| Answer» B. x ≥ y | |
| 854. |
A student was asked to multiply a certain number by \(\dfrac{3}{8}\) but he divided the number by \(\dfrac{3}{8}\). In this process, he got the answer 55 more than what the actual answer is. Find the actual answer. |
| A. | 18 |
| B. | 24 |
| C. | 9 |
| D. | 27 |
| Answer» D. 27 | |
| 855. |
If x + 1/x = -2, then what is the value of 1 + x3 + x5 ? |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | -1 |
| Answer» E. | |
| 856. |
Find the factors of (x2 + x - 20).A. (x + 5) (x - 4)B. (x + 4) (x - 5)C. (x - 2) (x + 10)D. (x - 2) (x + 5) |
| A. | B |
| B. | A |
| C. | D |
| D. | C |
| Answer» C. D | |
| 857. |
If a3 + b3 = 208 and ab = - 12, then what is the value of a + b? |
| A. | 8 |
| B. | 12 |
| C. | 11 |
| D. | 4 |
| Answer» E. | |
| 858. |
If x2 - 5x + 1 = 0, then the value of \(\left(x^4 + \frac 1 {x^2}\right) \div \left(x^2 + 1\right)\) is: |
| A. | 25 |
| B. | 21 |
| C. | 22 |
| D. | 24 |
| Answer» D. 24 | |
| 859. |
If \(x - \frac{1}{x} = 5, x \neq 0\), then what is the value of \(\frac{x^6 + 3x^3 - 1}{x^6 - 8x^3 - 1}\)? |
| A. | \(\frac{4}{9}\) |
| B. | \(\frac{11}{13}\) |
| C. | \(\frac{3}{8}\) |
| D. | \(\frac{13}{12}\) |
| Answer» E. | |
| 860. |
If x =2 is one of the zeros of the polynomial x3 - 6x2 + 11x - 6, which are the other two zeros? |
| A. | 1, 3 |
| B. | 1, -3 |
| C. | -1, -3 |
| D. | -1, 3 |
| Answer» B. 1, -3 | |
| 861. |
If x = (164)169 + (333)337 – (727)726, then what is the units digit of x? |
| A. | 5 |
| B. | 9 |
| C. | 7 |
| D. | 8 |
| Answer» E. | |
| 862. |
If the roots of the equation x2 - px + 54 = 0 are in the ratio 2 ∶ 3, then the value of p is |
| A. | 18 |
| B. | 51 |
| C. | -21 |
| D. | 15 |
| Answer» E. | |
| 863. |
If \(x-\dfrac{1}{x}=4\), then the value of \(x^3 - \dfrac{1}{x^3}\) is: |
| A. | 60 |
| B. | 76 |
| C. | 64 |
| D. | 72 |
| Answer» C. 64 | |
| 864. |
Let f(x) = a0xn + a1xn – 1 + a2xn – 2 + ⋯ + an-1x + an, where a0, a1, a2, ⋯, an are real numbers. If f(x) is divided by (ax – b), then the remainder is |
| A. | f(b/a) |
| B. | f(-b/a) |
| C. | f(a/b) |
| D. | f(-a/b) |
| Answer» B. f(-b/a) | |
| 865. |
If x = 2 + √3, then the value of x3 – x-3 is: |
| A. | -52 |
| B. | 52 |
| C. | 30√3 |
| D. | -30√3 |
| Answer» D. -30√3 | |
| 866. |
If 3x2 – ax + 9 = ax2 + 2x + 5 has only one (repeated) solution, then the positive integral solution of a is |
| A. | 4 |
| B. | 3 |
| C. | 2 |
| D. | 5 |
| Answer» D. 5 | |
| 867. |
If an ordered pair satisfying the equations 2x - 3y = 18 and 4x - y = 16 also satisfying the equation 5x - py - 23 = 0, then find the value of p: |
| A. | -1 |
| B. | 1 |
| C. | 2 |
| D. | -2 |
| Answer» D. -2 | |
| 868. |
A man engaged a servant on a condition that he would pay him Rs. 80 and a pair of jeans after service of one year. Servant served for only 9 months and receives a pair of jeans and an amount of Rs. 55. The price of the jeans is _______ |
| A. | Rs. 80 |
| B. | Rs. 60 |
| C. | Rs. 40 |
| D. | Rs. 20 |
| Answer» E. | |
| 869. |
In a school, 5/12 of the number of students are girls and the rest are boys. 4/7 of the number of boys are below 14 years of age, and 2/5 of the number of girls are 14 years or above 14 years of age. If the number of students below 14 years of age is 1120, then the total number of students in the school is: |
| A. | 1820 |
| B. | 1290 |
| C. | 1920 |
| D. | 1900 |
| Answer» D. 1900 | |
| 870. |
Assume 57 + 59 + 109 = 0, then find the value of 573 + 593 + 1093. |
| A. | 1099701 |
| B. | 1099601 |
| C. | 1099801 |
| D. | 1098701 |
| Answer» B. 1099601 | |
| 871. |
Find the discriminate of the quadratic equation 5x2 – 3x + 2 = 0 and hence, find the nature of the roots. |
| A. | – 31; no real roots |
| B. | -31; two equal real roots |
| C. | 31; two distinct real roots |
| D. | 31; two equal roots |
| Answer» B. -31; two equal real roots | |
| 872. |
If a3 - b3 = 35 and ab = -6, then what is the value of a - b? |
| A. | 5 |
| B. | 2 |
| C. | 4 |
| D. | 3 |
| Answer» B. 2 | |
| 873. |
If x2 + 1/x2 =11, then x - 1/x is equal to∶ |
| A. | 2 |
| B. | 3 |
| C. | 5 |
| D. | 4 |
| Answer» C. 5 | |
| 874. |
If the zeroes of polynomial x2 – ax + b are 3 and 4, then ‘a’ and ‘b’ are respectively equal to |
| A. | 12, 7 |
| B. | 3, 4 |
| C. | 4, 3 |
| D. | 7, 12 |
| Answer» E. | |
| 875. |
If \(x = \frac{{\sqrt 3 + 1}}{{\sqrt 3 - 1}}\) and \(y = \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}\), then the value of (x3 + y3) is |
| A. | 64 |
| B. | 32 |
| C. | 76 |
| D. | None of these |
| Answer» E. | |
| 876. |
If a3 + b3 = 218 and a + b = 2, then the value of ab is∶ |
| A. | 34 |
| B. | -31 |
| C. | -35 |
| D. | 32 |
| Answer» D. 32 | |
| 877. |
If \(x + \frac{1}{x} = 4\) then find the value of \({x^4} + \frac{1}{{{x^4}}}\) |
| A. | 128 |
| B. | 194 |
| C. | 162 |
| D. | 136 |
| Answer» C. 162 | |
| 878. |
Calculate the work done by a force \(\vec F = \;5\hat i + 3\hat j + 2\hat k\) on a particle when the particle is displaced by \(\vec S = \;3\hat i - \hat j + 2\hat k\) ? |
| A. | 25 |
| B. | 20 |
| C. | 16 |
| D. | None of these |
| Answer» D. None of these | |
| 879. |
(4x3y - 6x2y2 + 4xy3 - y4) can be expressed as: |
| A. | x4 - (x - y)4 |
| B. | (x + y)4 - y4 |
| C. | (x + y)4 - x4 |
| D. | (x - y)4 - x4 |
| Answer» B. (x + y)4 - y4 | |
| 880. |
If \(\vec{a}+\vec{b}+\vec{c}=0\) and \(|\vec{a}|=4, \ |\vec{b}|=3, \ |\vec{c}|=\sqrt{37}\) then the angle between \(\vec a\) and \(\vec b\) is : |
| A. | 30° |
| B. | 45° |
| C. | 60° |
| D. | 90° |
| Answer» D. 90° | |
| 881. |
Determine the value of “s” for which the equation 5x + 35 = 60x + s has infinite number of solutions. |
| A. | 420 |
| B. | 440 |
| C. | 460 |
| D. | 480 |
| Answer» B. 440 | |
| 882. |
If \(\vec a = \hat i - \hat k,\; \vec b = x\hat i + \hat j + (1 - x)\hat k\) and \(c = y\hat i + x\hat j + (1 + x - y)\hat k,\) then \(\left[\vec a \vec b \vec c\right]\) depends on |
| A. | Neither x nor y |
| B. | Only x |
| C. | Only y |
| D. | Both x and y |
| Answer» B. Only x | |
| 883. |
If α and β are the roots of equation x2 – 2x + 4 = 0, then what is the equation whose roots are α3/β2 and β3/α2? |
| A. | x2 – 4x + 8 = 0 |
| B. | x2 – 32x + 4 = 0 |
| C. | x2 - 2x + 4 = 0 |
| D. | x2 – 16x + 4 = 0 |
| Answer» D. x2 – 16x + 4 = 0 | |
| 884. |
In the following question, two equations are given in variables x and y. You have to solve these equations and determine the relation between x and y.I) x2 + 84x + 468 = 0II) y2 + 3y + 2 = 0 |
| A. | if x < y |
| B. | if x ≤ y |
| C. | if x > y |
| D. | if x ≥ y |
| E. | if x = y or the relationship can not be established |
| Answer» B. if x ≤ y | |
| 885. |
If x - y = 13 and xy = 25, then the value of x2 - y2 = ? |
| A. | 13√229 |
| B. | 13√210 |
| C. | 13√269 |
| D. | 13√240 |
| Answer» D. 13√240 | |
| 886. |
If x2 + (1/x2) = 31/9 and x > 0, then what is the value of x3 + (1/x3)? |
| A. | 70/9 |
| B. | 154/27 |
| C. | 349/27 |
| D. | 349/7 |
| Answer» C. 349/27 | |
| 887. |
If x + (1/y) = 1 and y + (1/z) = 1, then the value of z + (1/x) is |
| A. | x-y |
| B. | 1 |
| C. | Not known/Not countable |
| D. | 2 |
| E. | None of the above |
| Answer» C. Not known/Not countable | |
| 888. |
If x + 3y = 9, then the value of (x - 5)3 + (3y - 4)3 is: |
| A. | 120 |
| B. | 100 |
| C. | 81 |
| D. | 0 |
| Answer» E. | |
| 889. |
If \({X^4} + \frac{1}{{{x^4}}} = 194\) and x > 0, then what is the value of \({X^2} - \frac{1}{{{X^2}}}?\) |
| A. | 8√3 |
| B. | 2√7 |
| C. | 10√2 |
| D. | 10 |
| Answer» B. 2√7 | |
| 890. |
If x + y = 19 and x – y = 7, then xy = ? |
| A. | 13 |
| B. | 48 |
| C. | 78 |
| D. | 72 |
| Answer» D. 72 | |
| 891. |
Out of the given options, one of the factors of (x2 – y2)3 + (y2 – z2)3 + (z2 – x2)3 is |
| A. | (x + y) (x - y) |
| B. | (x - y) (x - y) |
| C. | (x + y) (x + y) |
| D. | (y + z) (y + z) |
| Answer» B. (x - y) (x - y) | |
| 892. |
If \(x + \frac{1}{x} = 3\), what is the value of \(\frac{{{x^4} + 5{x^3} + 3{x^2} + 5x + 1}}{{{x^4} + 1}}?\) |
| A. | 25/7 |
| B. | 4 |
| C. | 31/7 |
| D. | 33/7 |
| Answer» B. 4 | |
| 893. |
If the difference of squares of two consecutive odd numbers is 64, then what is their sum? |
| A. | 34 |
| B. | 32 |
| C. | 30 |
| D. | 17 |
| Answer» C. 30 | |
| 894. |
If \({x^2}\; + \;\frac{1}{{25{x^2}}}\; = \;\frac{8}{5}\) and x > 0, then what is the value of \({x^3}\; + \;\frac{1}{{125{x^3}}}?\) |
| A. | 7√2 |
| B. | 5√2 |
| C. | (7√2)/5 |
| D. | 7√6 |
| Answer» D. 7√6 | |
| 895. |
If a3 = 117 + b3 and a = 3 + b, then the value of a + b is (given that a > 0 and b > 0) |
| A. | 7 |
| B. | 9 |
| C. | 11 |
| D. | 13 |
| Answer» B. 9 | |
| 896. |
If a3 - b3 = 3552 and (a - b) = 6, then (a + b)2 - ab is equal to∶ |
| A. | 568 |
| B. | 636 |
| C. | 592 |
| D. | 618 |
| Answer» D. 618 | |
| 897. |
If x4 + x-4 = 1442, (x > 0) then the value of x - x-1 is: |
| A. | 15 |
| B. | 6 |
| C. | 7 |
| D. | 8 |
| Answer» C. 7 | |
| 898. |
Choose the correct equation with variable. |
| A. | 30x < 140 |
| B. | \(\frac {p}{28} > 68\) |
| C. | 3 + 2 (x - 1) = 0 |
| D. | 3x + 120 < 180 |
| Answer» D. 3x + 120 < 180 | |
| 899. |
In a class of 60 boys, there are 45 boys who play chess and 30 boys who play carrom. If every boy of the class plays at least one of the two games, then how many boys play carrom only? |
| A. | 30 |
| B. | 20 |
| C. | 15 |
| D. | 10 |
| Answer» D. 10 | |
| 900. |
Find the value of \(\dfrac{1}{5} + 999 \dfrac{494}{495}\times 99\) |
| A. | 90000 |
| B. | 99000 |
| C. | 90900 |
| D. | 99990 |
| Answer» C. 90900 | |