MCQOPTIONS
Saved Bookmarks
MCQOPTIONS
This section includes 2318 Mcqs, each offering curated multiple-choice questions to sharpen your 8th Class knowledge and support exam preparation. Choose a topic below to get started.
| 1851. |
If \[{{\left( x+\frac{1}{x} \right)}^{2}}=3\] find the value of \[{{x}^{3}}+\frac{1}{{{x}^{3}}}\] |
| A. | 1 |
| B. | 0 |
| C. | \[-1\] |
| D. | 2 |
| Answer» C. \[-1\] | |
| 1852. |
DIRECTIONS: Passage-5 Read the passage(s) given below and answer the questions that follow. Radha spends 40% of her salary on food and 20% on conveyance. If her savings at the end of a month are Rs. 4000. How much amount she spends on food? |
| A. | Rs. 3000 |
| B. | Rs. 2000 |
| C. | Rs. 4000 |
| D. | Rs. 2500 |
| Answer» D. Rs. 2500 | |
| 1853. |
DIRECTIONS: Reade the following passage and answer the questions that follow. PASSAGE - 1 If \[=P{{\left( 1+\frac{R}{100} \right)}^{n}}\] is the value of an article at certain time which increases at the rate of \[=\frac{R}{{{\left( 1+\frac{R}{100} \right)}^{n}}}\]for first \[{{R}_{1}}%\]years and decreases at the rate of \[{{R}_{2}}%\] for next \[=P\left( 1+\frac{{{R}_{1}}}{100} \right)\times \left( 1+\frac{{{R}_{2}}}{100} \right).\] years, then the value of the article V at the end of \[=P{{\left( 1-\frac{R}{100} \right)}^{n}}.\] years is given by \[=\frac{P}{{{\left( 1-\frac{R}{100} \right)}^{n}}}\] Sandeep started a factory with an initial investment of Rs.500000. In the next year, he incurred a loss of 20%. However, during the second year, he earned a profit of 10% and in the third year he earned a profit of 15%, then his net profit for the entire period of three years is |
| A. | Rs.5000 |
| B. | Rs.6000 |
| C. | Rs.50000 |
| D. | Rs.60000 |
| Answer» C. Rs.50000 | |
| 1854. |
What must be added to \[{{x}^{3}}+3x-8\] to get \[3{{x}^{3}}+{{x}^{2}}+6\]? |
| A. | \[2{{x}^{3}}+{{x}^{2}}-3x+14\] |
| B. | \[2{{x}^{2}}+{{x}^{2}}+14\] |
| C. | \[2{{x}^{3}}+{{x}^{2}}-6x-14\] |
| D. | \[-2{{x}^{3}}-{{x}^{2}}+6x-14\] |
| Answer» B. \[2{{x}^{2}}+{{x}^{2}}+14\] | |
| 1855. |
The price of wheat has increased by 60%. In order to restore the original price, the new price must be reduced by |
| A. | 0.375 |
| B. | 33% |
| C. | 34% |
| D. | 40% |
| Answer» B. 33% | |
| 1856. |
The solution set of \[(x+y)(y+2z)\] is |
| A. | \[\frac{{{x}^{2}}}{4}-\frac{{{y}^{2}}}{9}\] |
| B. | \[\left( \frac{x}{4}+\frac{y}{9} \right),\left( \frac{x}{4}-\frac{y}{9} \right)\] |
| C. | \[\left( \frac{x}{2}+\frac{y}{9} \right),\left( \frac{x}{2}-\frac{y}{9} \right)\] |
| D. | \[\left( \frac{x}{2}+\frac{y}{3} \right),\left( \frac{x}{2}-\frac{y}{3} \right)\] |
| Answer» B. \[\left( \frac{x}{4}+\frac{y}{9} \right),\left( \frac{x}{4}-\frac{y}{9} \right)\] | |
| 1857. |
A ship sails out to a mark at the rate of 15km/hr and sails back at the rate of 10 km/hr. The average rate of sailing is: |
| A. | 12.5km/hr |
| B. | 12km/hr |
| C. | 25km/hr |
| D. | 5km/hr |
| Answer» C. 25km/hr | |
| 1858. |
If \[3x-7y=10\] and \[xy=-1,\] then the value of \[9{{x}^{2}}+49{{y}^{2}}\] is |
| A. | 58 |
| B. | 142 |
| C. | 104 |
| D. | \[-\]104 |
| Answer» B. 142 | |
| 1859. |
DIRECTIONS: Passage-1 Read the passage(s) given below and answer the questions that follow. Car A and Car B travelled at 60 km/hr and 64 km/hr respectively. Find the Distance travelled by Car A in 3 hours. |
| A. | 196km |
| B. | 185km |
| C. | 180km |
| D. | 190km. |
| Answer» D. 190km. | |
| 1860. |
Which of the following number can represent the subset of a non empty set? |
| A. | 343 |
| B. | 2048 |
| C. | 68 |
| D. | 743 |
| E. | None of these |
| Answer» C. 68 | |
| 1861. |
If \[P=\left\{ a,\text{ }b,\text{ }c,\text{ }d \right\}\]and \[Q=\left\{ a,\text{ }c,\text{ }e \right\}\]then \[P\Delta Q=?\] |
| A. | \[\left\{ a,\text{ }b,\text{ }c,\text{ }d,\text{ }e \right\}\] |
| B. | \[\left\{ b,\text{ }d,\text{ }e \right\}\] |
| C. | \[\left\{ b,\text{ }d \right\}\] |
| D. | \[\left\{ a,\text{ }c \right\}\] |
| E. | None of these |
| Answer» C. \[\left\{ b,\text{ }d \right\}\] | |
| 1862. |
A and B can do a piece of work in 18 days, B and C in 24 days, A and C in 36 days. In what time can they do it all working together? |
| A. | 18 |
| B. | 17 |
| C. | 16 |
| D. | 15 |
| Answer» D. 15 | |
| 1863. |
\[\Rightarrow \] |
| A. | 0 |
| B. | \[{{x}^{2}}+3x+2x+6=0\] |
| C. | 1 |
| D. | None of these |
| Answer» C. 1 | |
| 1864. |
The cost of a vehicle is Rs. 175000. If its value depreciates at the rate of 20 % per annum, then the total depreciation after 3 years was ____. |
| A. | Rs. 86400 |
| B. | Rs. 82500 |
| C. | Rs. 84500 |
| D. | Rs. 85400 |
| Answer» E. | |
| 1865. |
270 candidates appeared for an examination, of which 252 passed. The pass percentage is : |
| A. | 80% |
| B. | \[83\frac{1}{2}%\] |
| C. | \[90\frac{1}{3}%\] |
| D. | \[93\frac{1}{3}%\] |
| Answer» E. | |
| 1866. |
If the cost price of 20 greeting cards is equal to the selling price of 16 greeting cards. Find the gain or loss percent |
| A. | 20% |
| B. | 30% |
| C. | 25% |
| D. | 40% |
| Answer» D. 40% | |
| 1867. |
A certain number of two digits is four times the sum of its digits. If 9 be added to the number, the digits are reversed. Find the number. |
| A. | 15 |
| B. | 12 |
| C. | 21 |
| D. | 51 |
| Answer» C. 21 | |
| 1868. |
Find the value of a if\[pqa={{(~3p+q)}^{2}}-{{(3p-q)}^{2}}\]. |
| A. | 11 |
| B. | 21 |
| C. | 10 |
| D. | 12 |
| Answer» E. | |
| 1869. |
The number of seats for admission is increased by 10% every year. If the number of seats in 2001 was 400, what were the number of seats in 2003? |
| A. | 824 |
| B. | 484 |
| C. | 500 |
| D. | 480 |
| Answer» C. 500 | |
| 1870. |
The middle terms of proportion are called |
| A. | antecedents |
| B. | mean terms |
| C. | extremes |
| D. | consequents |
| Answer» C. extremes | |
| 1871. |
The equation for the statement: 'half of a number added to 10 is 15'. |
| A. | \[27-27+12-12=0\] |
| B. | \[P(3)=0\] |
| C. | \[\therefore \] |
| D. | \[(x-3)\] |
| Answer» C. \[\therefore \] | |
| 1872. |
The average of the first nine prime numbers is ????? |
| A. | 9 |
| B. | 11 |
| C. | \[11\frac{1}{9}\] |
| D. | \[11\frac{2}{9}\] |
| Answer» D. \[11\frac{2}{9}\] | |
| 1873. |
\[3(3-y)-2y=4\] of a flagpole is black, \[9-3y-2y=4\] is white and the remaining three meters is painted yellow. Find the length of the flagpole. |
| A. | \[\Rightarrow \] |
| B. | \[-5y=-5\] |
| C. | 5km |
| D. | None of these |
| Answer» B. \[-5y=-5\] | |
| 1874. |
A man bought goods worth Rs.6000 and sold half of them at a gain of 10%. At what gain per cent must he sell the remainder to get a gain of 25% on the whole? |
| A. | 40% |
| B. | 0.25 |
| C. | 30% |
| D. | 0.2 |
| Answer» B. 0.25 | |
| 1875. |
A garrison has provisions for certain number of days. After 15 days, 1/4 th of the men left and if it as found that the provisions will now last just as before. How long was that? |
| A. | 50 days |
| B. | 60 days |
| C. | 70 days |
| D. | 120 days |
| Answer» C. 70 days | |
| 1876. |
A shopkeeper sold two watches for Rs.425 each, gaining 10% on one and losing 10% on the other. Then he |
| A. | Neither gains nor loss |
| B. | Gains 1% |
| C. | Loses 1% |
| D. | None of these |
| Answer» D. None of these | |
| 1877. |
If \[{{x}^{2}}+\frac{1}{{{x}^{2}}}=79,\] what is the value of \[x+\frac{1}{x}\]? |
| A. | \[7\] |
| B. | \[9\] |
| C. | \[\sqrt{79}\] |
| D. | \[-9\] |
| Answer» C. \[\sqrt{79}\] | |
| 1878. |
Articles are bought at 42 paise a dozen and sold at 85 paise a score (A group of twenty). The profit per cent is |
| A. | 21% |
| B. | 2.13 |
| C. | 33. % |
| D. | 0.32 |
| Answer» C. 33. % | |
| 1879. |
A publisher sells books to a retail dealer at Rs.5 a copy but allows 25 copies to count as 24. If the retailer sells each of the 25 copies Rs.6, his profit per cent is |
| A. | 20% |
| B. | 25% |
| C. | 24% |
| D. | 0.4 |
| Answer» C. 24% | |
| 1880. |
If P and Q are two non-empty sets and P - Q is a null set, then ____ |
| A. | P\[\subset \]Q |
| B. | Q\[\subset \]P |
| C. | P=Q |
| D. | P\[\in \]Q |
| E. | None of these |
| Answer» B. Q\[\subset \]P | |
| 1881. |
A can do a job in 6 days, B alone can do it in 8 days and C alone can finish the job in 24 days. A and B together are paid Rs.3 50. Then how much money is paid to C? |
| A. | Rs.50 |
| B. | Rs. 40 |
| C. | Rs.70 |
| D. | Rs.150 |
| Answer» B. Rs. 40 | |
| 1882. |
If a man were to sell his hand-watch for Rs 1680, he would lose 20 %. What must he sell it for to gain 25%? |
| A. | Rs 2625 |
| B. | Rs 2830 |
| C. | Rs 2456 |
| D. | Rs 2525 |
| E. | None of these |
| Answer» B. Rs 2830 | |
| 1883. |
Raghu borrowed Rs.25000 at 20% p.a. compounded half-yearly. What amount of money will clear his debt after \[1\frac{1}{2}\] years? |
| A. | Rs.28275 |
| B. | Rs.36275 |
| C. | Rs.33275 |
| D. | Rs.38275 |
| Answer» D. Rs.38275 | |
| 1884. |
Lf \[x+y=6\]and \[3x-y=4\]find the value of \[x-y\]. |
| A. | \[-1\] |
| B. | \[0\] |
| C. | \[2\] |
| D. | \[4\] |
| Answer» B. \[0\] | |
| 1885. |
Pankaj borrowed Rs. 8000 for 2 years at 15% per annum. Calculate the amount, if interest is (i) compounded annually (ii) compounded half yearly |
| A. | (i) (ii) Rs. 10550 Rs. 11883.25 |
| B. | Rs. 10090 Rs. 12432.75 |
| C. | Rs. 10580 Rs. 10502.50 |
| D. | Rs. 10580 Rs. 10683.75 |
| Answer» E. | |
| 1886. |
Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000. The new ratio becomes 40: 57. What is Sumit's increased salary? |
| A. | Rs. 17000 |
| B. | Rs. 20,000 |
| C. | Rs. 25,500 |
| D. | Rs. 38,000 |
| Answer» E. | |
| 1887. |
If Rs. 782 be divided into 3 parts, proportional to \[\frac{1}{2}:\frac{2}{3}:\frac{3}{4}\], then the first part is |
| A. | Rs. 182 |
| B. | Rs. 190 |
| C. | Rs. 196 |
| D. | Rs. 204 |
| Answer» E. | |
| 1888. |
The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries? |
| A. | 3 : 3 : 10 |
| B. | 10: 11 : 20 |
| C. | 23 : 33 : 60 |
| D. | can't be determined |
| Answer» D. can't be determined | |
| 1889. |
The ratio of number of males to number of females in a club are 7:4. If there are 84 males in the club, the total number of members in the club are |
| A. | 126 |
| B. | 132 |
| C. | 136 |
| D. | 148 |
| Answer» C. 136 | |
| 1890. |
Solve the expression \[\left( x-\frac{3}{x} \right)\left( x-\frac{3}{x} \right)=\] |
| A. | \[{{x}^{2}}+\frac{9}{{{x}^{2}}}-18\] |
| B. | \[{{x}^{3}}+\frac{9}{{{x}^{3}}}-6\] |
| C. | \[{{x}^{2}}+\frac{9}{{{x}^{2}}}-6\] |
| D. | \[{{x}^{2}}+\frac{1}{{{x}^{2}}}-6\] |
| Answer» D. \[{{x}^{2}}+\frac{1}{{{x}^{2}}}-6\] | |
| 1891. |
A number is 20 less than ten times of the average of its fifth, quarter and one-fourteenth. Find \[\frac{2}{9}\] of the number. |
| A. | 380 |
| B. | 440 |
| C. | 320 |
| D. | 480 |
| E. | None of these |
| Answer» D. 480 | |
| 1892. |
A student has to secure 40% marks to pass. He got 40 marks and failed by 40 marks. The maximum number of marks is |
| A. | 160 |
| B. | 180 |
| C. | 200 |
| D. | 320 |
| Answer» D. 320 | |
| 1893. |
If \[2a-\frac{1}{2a}=3,\]evaluate \[16{{a}^{4}}+\frac{1}{16{{a}^{4}}}.\] |
| A. | \[123\] |
| B. | \[119\] |
| C. | \[117\] |
| D. | \[121\] |
| Answer» C. \[117\] | |
| 1894. |
What is the angle between the 2 hands of the clock at 8:24pm? |
| A. | \[{{100}^{o}}\] |
| B. | \[{{107}^{o}}\] |
| C. | \[{{106}^{o}}\] |
| D. | \[{{108}^{o}}\] |
| Answer» E. | |
| 1895. |
The CI on a certain sum for 2 years at 10% per annum is Rs.525. The SI on the same sum for double the time at half the rate per cent per annum is |
| A. | Rs.400 |
| B. | Rs.500 |
| C. | Rs.600 |
| D. | Rs.800 |
| Answer» C. Rs.600 | |
| 1896. |
A cistern can be filled separately by two pipes in 12 and 16 minutes separately. If both fill pipes are opened together, when will the cistern be filled? |
| A. | \[{{V}_{0}}\]min |
| B. | \[4\frac{6}{7}\]min |
| C. | \[{{V}_{n}}={{V}_{0}}{{\left( 1-\frac{R}{100} \right)}^{n}}.\]min |
| D. | \[4\frac{1}{2}\] min |
| Answer» D. \[4\frac{1}{2}\] min | |
| 1897. |
The calendar for the year 2005 is the same as for the year: |
| A. | 2010 |
| B. | 2011 |
| C. | 2012 |
| D. | 2013 |
| Answer» D. 2013 | |
| 1898. |
The price of a banana dropped by 20%. Due to this Avnish was able to buy 2 dozens more bananas for Rs 680. Find the initial price of dozen bananas (in Rs). |
| A. | 40 |
| B. | 50 |
| C. | 60 |
| D. | 80 |
| E. | None of these |
| Answer» F. | |
| 1899. |
If P and Q are two non-empty equivalent sets, then which one among the following is a possible value of n\[\left( P\text{ }\times \text{ }Q \right)\]? |
| A. | 8 |
| B. | 2 |
| C. | 1 |
| D. | 6 |
| E. | None of these |
| Answer» D. 6 | |
| 1900. |
If \[15{{a}^{4}}-\text{ }16{{a}^{3}}+\text{ }9{{a}^{2}}-\text{ }\frac{10}{3}a\text{ }+\text{ }6\] is divided by 3a - 2 then quotient and remainder are respectively _ |
| A. | \[5{{a}^{3}}-\text{ }2{{a}^{2}}+\text{ }5a\text{ }and\text{ }5\] |
| B. | \[5{{a}^{3}}-\text{ }2{{a}^{2}}+\text{ }\frac{5}{3}a\text{ }and\text{ }5\] |
| C. | \[6{{a}^{3}}-\text{ }2{{a}^{2}}+\text{ }\frac{3}{5}a\text{ }and\text{ 6}\] |
| D. | \[5{{a}^{3}}-\text{ }2{{a}^{2}}+\text{ }\frac{5}{3}a\text{ }and\text{ 6}\] |
| E. | None of these |
| Answer» E. None of these | |