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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.
| 1001. |
A room was rented, and the rent of odd day was Rs 1000 and that of even day was Rs 2000. If the room was rented on an even day and the total amount was Rs 30000, then find the total duration for which room was rented? |
| A. | 25 days |
| B. | 20 days |
| C. | 30 days |
| D. | 40 days |
| Answer» C. 30 days | |
| 1002. |
Cost of 8 pencils, 5 pens and 3 erasers is Rs. 111. Cost of 9 pencils, 6 pens and 5 erasers is Rs. 130. Cost of 16 pencils, 11 pens and 3 erasers is Rs. 221. What is the cost (in Rs) of 39 pencils, 26 pens and 13 erasers? |
| A. | 316 |
| B. | 546 |
| C. | 624 |
| D. | 482 |
| Answer» C. 624 | |
| 1003. |
In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.I. x2 + 5x - 36 = 0II. y2 + y - 6 = 0 |
| A. | x > y |
| B. | x < y |
| C. | x ≥ y |
| D. | x ≤ y |
| E. | x = y or relationship between x and y cannot be established. |
| Answer» F. | |
| 1004. |
If \(x - \frac{2x -1}{3} = 2 - \frac{x - 5}{2} ,\) then x = _______ |
| A. | 3 |
| B. | 2 |
| C. | 8 |
| D. | 5 |
| Answer» E. | |
| 1005. |
Find the value of ‘A’ when the polynomial P(x) = x3 + 3x2 = 2Ax – 3, where ‘A’ is a constant, is divided by x2 + 1 has a remainder equal to – 5x: |
| A. | -2 |
| B. | 2 |
| C. | -3 |
| D. | 3 |
| Answer» C. -3 | |
| 1006. |
7225 Students are sitting in an auditorium in such a way that there are as many students in a row as there are rows in the auditorium. How many students are there in a row in the auditorium? |
| A. | 75 |
| B. | 85 |
| C. | 95 |
| D. | 65 |
| Answer» C. 95 | |
| 1007. |
If 1/4 of the wall is painted blue, 1/2 is painted yellow, and the remaining 3 m is painted white, what is the length of the wall? |
| A. | 10 |
| B. | 8 |
| C. | 16 |
| D. | 12 |
| Answer» E. | |
| 1008. |
If \(\frac{a}{{1 - a}} + \frac{b}{{1 - b}} + \frac{c}{{1 - c}} = 1\). then the value of \(\frac{1}{{1 - a}} + \frac{1}{{1 - b}} + \frac{1}{{1 - c}} \) is |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 4 |
| Answer» E. | |
| 1009. |
If the equations 5x + ky = 3 and kx + 5y = 3 represent the same line then k = _____. |
| A. | 1 |
| B. | 5 |
| C. | 3 |
| D. | None of these |
| Answer» C. 3 | |
| 1010. |
If a(a + b + c) = 45, b(a + b + c) = 75 and c(a + b + c) = 105, then what is the value of (a2 + b2 + c2)? |
| A. | 75 |
| B. | 83 |
| C. | 217 |
| D. | 225 |
| Answer» C. 217 | |
| 1011. |
If x, y, z are natural numbers, then the number of different solutions of the equation x + y + z = 6 are: |
| A. | 3 |
| B. | 7 |
| C. | 10 |
| D. | 12 |
| Answer» D. 12 | |
| 1012. |
If x2 - 3x + 1 = 0, then what is the value of x + 1/x? |
| A. | 3 |
| B. | 7 |
| C. | 9 |
| D. | 11 |
| Answer» B. 7 | |
| 1013. |
If x3 + y3 = 175 and x + y = 7, find the value of x4 + y4. |
| A. | 961 |
| B. | 916 |
| C. | 964 |
| D. | 912 |
| Answer» B. 916 | |
| 1014. |
If x2 + 4x – 12 < 0, which of the following specifies all possible values of 'x'? |
| A. | –6 < x < 2 |
| B. | x < –6 |
| C. | x > 2 |
| D. | –2 < x < 6 |
| Answer» B. x < –6 | |
| 1015. |
100 m is equal to ______. |
| A. | 1 hectometer |
| B. | 1/10 hectometer |
| C. | 1 Decameter |
| D. | 1 Decimeter |
| Answer» B. 1/10 hectometer | |
| 1016. |
If (x + y) /z = 2, then what is the value of [y/ (y – z)] + [x/ (x – z)]? |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | -1 |
| Answer» D. -1 | |
| 1017. |
\(\frac{{{x^2}{{\left( {x - 4} \right)}^2}}}{{{{\left( {x\; + \;4} \right)}^2} - 4x}} \div \frac{{{{\left( {{x^2} - 4x} \right)}^3}}}{{{{\left( {x\; + \;4} \right)}^2}}}\; \times \;\frac{{64 - {x^3}}}{{16 - {x^2}}}\) is equal to |
| A. | \(\frac{{x - 4}}{{x\; + \;4}}\) |
| B. | \(\frac{{x\; + \;4}}{{x\left( {4 - x} \right)}}\) |
| C. | \(\frac{{x\; + \;4}}{{x\left( {x - 4} \right)}}\) |
| D. | \(\frac{{x\; + \;4}}{{x - 4}}\) |
| Answer» D. \(\frac{{x\; + \;4}}{{x - 4}}\) | |
| 1018. |
A number of two-digits has 3 for its unit's digit, and the sum of the digits is 1/7 of the number itself. Find the number. |
| A. | 73 |
| B. | 63 |
| C. | 53 |
| D. | 43 |
| Answer» C. 53 | |
| 1019. |
If x = 5 + 2√6, then what is the value of \(\sqrt x \; + \;\frac{1}{{\sqrt x }}?\) |
| A. | 2√3 |
| B. | 3√2 |
| C. | 2√6 |
| D. | 6√2 |
| Answer» B. 3√2 | |
| 1020. |
If the equations 6x – 5y + 11 = 0 and 15x + ky – 9 = 0 have no solution, then the value of k is: |
| A. | -12.5 |
| B. | 12.5 |
| C. | -18 |
| D. | 18 |
| Answer» B. 12.5 | |
| 1021. |
If x - (1/x) = 3, then what is the value of (2x4 + 3x3 + 13x2 - 3x + 2)/(3x4 + 3)? |
| A. | 1/3 |
| B. | 2/3 |
| C. | 4/3 |
| D. | 5/3 |
| Answer» D. 5/3 | |
| 1022. |
5 bottles cost as much as 2 bags. The cost of 15 bottles and 4 bags is Rs. 2,000. What is the price (in Rs.) of a single bag? |
| A. | 200 |
| B. | 215 |
| C. | 240 |
| D. | 250 |
| Answer» B. 215 | |
| 1023. |
a, b, c are three positive numbers, such that, a + b + c = 20, a2 + b2 + c2 = 152.The value of (ab + bc + ca) is equal to: |
| A. | 110 |
| B. | 112 |
| C. | 102 |
| D. | 124 |
| Answer» E. | |
| 1024. |
Multiplication of eigenvalues of the matrix \(\begin{bmatrix}4 &2 \\1 &3\end{bmatrix}\) is: |
| A. | 8 |
| B. | 6 |
| C. | 4 |
| D. | 10 |
| Answer» E. | |
| 1025. |
If 22x – 40 = 207 + 3x, then x = ? |
| A. | 14 |
| B. | 13 |
| C. | 12 |
| D. | 11 |
| Answer» C. 12 | |
| 1026. |
If 2x2 - 7x + 5 = 0, then what is the value of \(x^2 + \frac{25}{4x^2}\)? |
| A. | \(5 \frac{1}{2}\) |
| B. | \(7 \frac{1}{4}\) |
| C. | \(9 \frac{3}{4}\) |
| D. | \(9 \frac{1}{2}\) |
| Answer» C. \(9 \frac{3}{4}\) | |
| 1027. |
If (- 3) is the zero of the polynomial f(x) = 2x2 - (a + 1)x + 4a then value of a is |
| A. | - 3 |
| B. | 0 |
| C. | 1 |
| D. | 3/2 |
| Answer» B. 0 | |
| 1028. |
If a3 - b3 = 208 and a - b = 4, then (a + b)2 - ab is equal to∶ |
| A. | 52 |
| B. | 38 |
| C. | 32 |
| D. | 42 |
| Answer» B. 38 | |
| 1029. |
If x8 – 727x4 + 1 = 0, then the possible value of \(x - \frac{1}{x}\) is: |
| A. | 6 |
| B. | 4 |
| C. | 5 |
| D. | 7 |
| Answer» D. 7 | |
| 1030. |
Let \(\vec a, \vec b\) and \(\vec c\) be three vector having magnitudes 1, 1 and 2 respectively, If \(\vec a \times (\vec a \times \vec c) - \vec b = 0\) then the acute angle between \(\vec a\) and \(\vec c\) is |
| A. | π / 4 |
| B. | π / 6 |
| C. | π / 3 |
| D. | None |
| Answer» C. π / 3 | |
| 1031. |
If (x – 7)2 + (y + 10)2 + (z – 6)2 = 0, then find the value of x + y + z |
| A. | 1 |
| B. | 3 |
| C. | 5 |
| D. | 7 |
| Answer» C. 5 | |
| 1032. |
If x = \(\sqrt[3]{5} + 2\), then the value of x3 - 6x2 + 12x - 12 is equal to: |
| A. | 0 |
| B. | 2 |
| C. | 1 |
| D. | -1 |
| Answer» D. -1 | |
| 1033. |
If a = 1 and b = 1 is a solution of the equation 5a + p = 17b, then the value of p is - |
| A. | 5 |
| B. | 7 |
| C. | 11 |
| D. | 12 |
| Answer» E. | |
| 1034. |
If a2 + b2 = 4b + 6a – 13, then what is the value of a + b? |
| A. | 3 |
| B. | 2 |
| C. | 5 |
| D. | 10 |
| Answer» D. 10 | |
| 1035. |
Asha plans to save some money from household expenditure to buy a mobile phone. Every week she saves Rs. 50 on Monday, Rs. 100 on Wednesday and Rs. 80 on Friday and spends Rs. 60 from this on Sunday. How many weeks would she take to save enough to buy a mobile phone of ₹ 5,950? |
| A. | 35 |
| B. | 30 |
| C. | 40 |
| D. | 25 |
| Answer» B. 30 | |
| 1036. |
If √x = √3 - √5, then the value of x2 - 16x + 6 is: |
| A. | 4 |
| B. | 0 |
| C. | 2 |
| D. | -2 |
| Answer» D. -2 | |
| 1037. |
If a + b = 5 and ab = 6, then what is the value of a3 + b3? |
| A. | 35 |
| B. | 40 |
| C. | 90 |
| D. | 125 |
| Answer» B. 40 | |
| 1038. |
If \({\rm{x}} + \frac{1}{{\rm{x}}} = - 2,\) then find the value of \({{\rm{x}}^{531}} + \frac{1}{{{{\rm{x}}^{532}}}}\) |
| A. | -2 |
| B. | -1 |
| C. | 0 |
| D. | 2 |
| Answer» D. 2 | |
| 1039. |
If x2 + kx + 7.5k = 0 has no solution, then the value of k will satisfy: |
| A. | 0 < k < 30 |
| B. | k < 0 |
| C. | k > - 30 |
| D. | k < 30 |
| Answer» B. k < 0 | |
| 1040. |
If 2x – y = 7 and x – y = 6 then value of x and y will be |
| A. | 5, -1 |
| B. | 1, -5 |
| C. | 5, 1 |
| D. | -1, 5 |
| Answer» C. 5, 1 | |
| 1041. |
If \(x^2+\frac{1}{x^2}=38\), then what is the value of \(\left| {x - \frac{1}{x}} \right|\)? |
| A. | 9 |
| B. | 6 |
| C. | 5 |
| D. | 4 |
| Answer» C. 5 | |
| 1042. |
If the volume of a parallelepiped whose adjacent edges are\(\rm \vec a\) = 2î + 3ĵ + 4k̂\(\rm \vec b\) = î + αĵ + 2k̂\(\rm \vec c\) = î + 2ĵ + αk̂is 15 then α = ? |
| A. | 1 |
| B. | \(\dfrac52\) |
| C. | \(\dfrac92\) |
| D. | 0 |
| Answer» D. 0 | |
| 1043. |
4x2 + kx + 5 is divisible by x = 1. The expression is also divisible by |
| A. | 4x – 5 |
| B. | x – 5 |
| C. | 4x + 5 |
| D. | 4x – 1 |
| Answer» B. x – 5 | |
| 1044. |
If x + y + z = 1, xy + yz + zx = – 26 and x3 + y3 + z3 = 151, then what will be the value of xyz? |
| A. | – 18 |
| B. | 24 |
| C. | – 30 |
| D. | 32 |
| Answer» C. – 30 | |
| 1045. |
If a - b = 1 and ab = 6, then what is the value of a3 - b3? |
| A. | 21 |
| B. | 23 |
| C. | 19 |
| D. | 25 |
| Answer» D. 25 | |
| 1046. |
Let \(\rm \vec{a}=\hat{j}-\hat{k}\) and \(\rm \vec{c}= \hat{i}-\hat{j}-\hat{k}\). Then the vector \(\rm \vec{b}\) satisfying \(\rm (\vec{a}\times \vec{b})+\vec{c}=0\) and \(\rm \vec{a}\cdot \vec{b}=3\), is |
| A. | \(\rm - \hat{i}+\hat{j}-2\hat{k}\) |
| B. | \(\rm 2\hat{i}-\hat{j}+2\hat{k}\) |
| C. | \(\rm \hat{i}-\hat{j}-2\hat{k}\) |
| D. | \(\rm \hat{i}+\hat{j}-2\hat{k}\) |
| Answer» B. \(\rm 2\hat{i}-\hat{j}+2\hat{k}\) | |
| 1047. |
If a2 + b2 – c2 = 0, then the value of \(\frac{{2\left( {{a^6} + {b^6} - {c^6}} \right)}}{{3{a^2}{b^2}{c^2}}}\) is: |
| A. | 1 |
| B. | 0 |
| C. | -2 |
| D. | 2 |
| Answer» D. 2 | |
| 1048. |
If \(\rm |\vec{a}\times \vec{b}|^2 + |\vec{a}\cdot \vec{b}|^2=100\) and \(\rm |\vec{a}|=5\), then what is \(\rm |\vec{b}|\) equal to? |
| A. | 3 |
| B. | 4 |
| C. | 2 |
| D. | None of these |
| Answer» D. None of these | |
| 1049. |
If x = 3 + √8 then \(x^2 + \dfrac{1}{x^2}\) is equal to |
| A. | 36 |
| B. | 30 |
| C. | 32 |
| D. | 34 |
| Answer» E. | |
| 1050. |
If the average of x and 1/x (x≠0) is P, then what will be the average of x3 and 1/x3? |
| A. | 8p3 – 3p2 |
| B. | 16p3 |
| C. | 4p3 – 3p |
| D. | – 44p2 |
| Answer» D. – 44p2 | |