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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.
| 1801. |
If \[x=3+2\sqrt{2}\]and \[\mathbf{xy}=\mathbf{1},\]then the value of \[\frac{{{x}^{2}}-3xy+{{y}^{2}}}{{{x}^{2}}+3xy+{{y}^{2}}}\]is |
| A. | \[\frac{30}{31}\] |
| B. | \[\frac{70}{31}\] |
| C. | \[\frac{35}{31}\] |
| D. | \[\frac{31}{37}\] |
| Answer» E. | |
| 1802. |
Read the following statements carefully and choose the correct option. (i): In 3 years the sum of Rs. 900 will yield an interest of Rs. 324 at 12% per annum simple interest. (ii): In 5 years the sum of Rs. 750 will yield Rs. 220 interest at 6% p.a. |
| A. | is true only |
| B. | (ii) is true only |
| C. | Both (i) and (ii) are true |
| D. | Neither (i) nor (ii) is true |
| Answer» B. (ii) is true only | |
| 1803. |
DIRECTIONS: Each of these questions contains an Assertion followed by Reason. Read them carefully and answer the question on the basis of following options. You have to select the one that best describes the two statements. Assertion: In a class of 90 students 60% are boys it means 54 students are boys. Reason: In that class 40% students are girls. |
| A. | If both Assertion and Reason are correct and Reason is the correct explanation of Assertion. |
| B. | If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. |
| C. | If Assertion is correct but Reason is incorrect. |
| D. | If Assertion is incorrect but Reason is correct. |
| Answer» C. If Assertion is correct but Reason is incorrect. | |
| 1804. |
Which of the following is the most beneficial for a customer? |
| A. | Two successive discounts of 15% each. |
| B. | A discount of 30%. |
| C. | A 10% discount followed by a 20% discount. |
| D. | A 20% discount followed by a 10% discount. |
| E. | None of these |
| Answer» C. A 10% discount followed by a 20% discount. | |
| 1805. |
If\[\because \] Then a = _____. |
| A. | 1 |
| B. | \[5{{(2)}^{2}}-7(2)-6=0\] |
| C. | \[20-14-6=0\] |
| D. | none of these |
| Answer» C. \[20-14-6=0\] | |
| 1806. |
The product of \[\left( x-\frac{1}{x} \right)\left( x+\frac{1}{x} \right)\left( {{x}^{2}}+\frac{1}{{{x}^{2}}} \right)\left( {{x}^{4}}+\frac{1}{{{x}^{4}}} \right)\] is |
| A. | \[\left( {{x}^{8}}-\frac{1}{{{x}^{8}}} \right)\] |
| B. | \[\left( {{x}^{4}}-\frac{1}{{{x}^{4}}} \right)\] |
| C. | \[\left( {{x}^{2}}-\frac{1}{{{x}^{2}}} \right)\] |
| D. | \[\left( {{x}^{8}}+\frac{1}{{{x}^{8}}} \right)\] |
| Answer» B. \[\left( {{x}^{4}}-\frac{1}{{{x}^{4}}} \right)\] | |
| 1807. |
If HCF and LCM of two terms a and b are x and y respectively and \[\mathbf{a}+\mathbf{b}=\mathbf{x}+\mathbf{y},\]then \[{{\mathbf{x}}^{\mathbf{2}}}+{{\mathbf{y}}^{\mathbf{2}}}\]= ? |
| A. | \[{{a}^{2}}-{{b}^{2}}\] |
| B. | \[2{{a}^{2}}+{{b}^{2}}\] |
| C. | \[{{a}^{2}}+{{b}^{2}}\] |
| D. | \[{{a}^{2}}+2{{b}^{2}}\] |
| Answer» D. \[{{a}^{2}}+2{{b}^{2}}\] | |
| 1808. |
The value of \[\frac{({{a}^{2}}-{{b}^{2}})({{b}^{2}}-{{c}^{2}})({{c}^{2}}-{{a}^{2}})}{{{(a-b)}^{3}}+{{(b-c)}^{3}}+{{(c-a)}^{2}}}\]is |
| A. | \[3\left( a+b \right)\left( b+c \right)\left( c+a \right)\] |
| B. | \[3\left( a-b \right)\left( b-c \right)\left( c-a \right)\] |
| C. | \[\left( a-b \right)\left( b-c \right)\left( c-a \right)\] |
| D. | \[\left( a+b \right)\left( b+c \right)\left( c+a \right)\] |
| Answer» E. | |
| 1809. |
11 oranges are bought for Rs.10 and 10 oranges are sold for Rs.11. Find the gain (or) loss per cent. |
| A. | 21% loss |
| B. | 11% gain |
| C. | 21% gain |
| D. | 11% loss |
| Answer» D. 11% loss | |
| 1810. |
Match column I with column II and select the correct answer using the code given below the columns: Column - I Column- II (A) If \[2x-y-5\] and \[3x+2y=11,\]then \[x+y=\] (p) no solution (B) If \[x+2y=5\]\[2x+3y=8,\] then \[x+y=\] (q) 2 (C) If \[2x+3y=7\] \[6x+9y=1,\]then there is (r) 3 (D) If \[3x-4y=7\]\[5x+2y=3,\]then \[7x+5y=\] (s) 4 |
| A. | \[(A)\to (q),(B)\to (r),(C)\to (s),(D)\to (p)\] |
| B. | \[(A)\to (s),(B)\to (r),(C)\to (p),(D)\to (q)\] |
| C. | \[(A)\to (r),(B)\to (s),(C)\to (p),(D)\to (q)\] |
| D. | \[(A)\to (s),(B)\to (r),(C)\to (q),(D)\to (p)\] |
| Answer» C. \[(A)\to (r),(B)\to (s),(C)\to (p),(D)\to (q)\] | |
| 1811. |
A man purchased two articles for Rs.3000 each, by selling those he gains 20% on the one and loses 20% on the other. Find the gain (or) loss per cent on the whole transaction. |
| A. | 4% loss |
| B. | 4% gain |
| C. | no profit, no loss |
| D. | None of these |
| Answer» D. None of these | |
| 1812. |
If the discount is 10%, what is the M.P of an item bought for Rs.9? |
| A. | Rs.11 |
| B. | Rs.10 |
| C. | Rs.\[8.10\] |
| D. | Rs.12 |
| Answer» C. Rs.\[8.10\] | |
| 1813. |
Add the following algebraic expression:\[5{{x}^{2}}-\frac{3}{5}x+\frac{3}{2},-\frac{7}{8}{{x}^{2}}+\frac{5}{4}x-\frac{1}{4}\,and\,-\frac{3}{4}{{x}^{2}}+\frac{1}{8}x-\frac{3}{16}\] |
| A. | \[\frac{1}{80}\left[ 135{{x}^{2}}+62x+35 \right]\] |
| B. | \[\frac{1}{40}\left[ 135{{x}^{2}}+31x+42 \right]\] |
| C. | \[\frac{1}{80}\left[ 270{{x}^{2}}+62x+85 \right]\] |
| D. | \[\frac{1}{40}\left[ 125{{x}^{2}}+62x+38 \right]\] |
| E. | None of these |
| Answer» D. \[\frac{1}{40}\left[ 125{{x}^{2}}+62x+38 \right]\] | |
| 1814. |
The volume V, of a solid is given by the formula \[V=\pi ({{R}^{2}}-{{r}^{2}})h.\] Find the value of V, given that \[R=8,\text{ }r=5,\text{ }h=3\frac{1}{2}\]and \[\pi =\frac{22}{7}\]. |
| A. | \[393\] |
| B. | \[429\] |
| C. | \[492\] |
| D. | \[294\] |
| Answer» C. \[492\] | |
| 1815. |
DIRECTIONS: Each of these questions contains an Assertion followed by Reason. Read them carefully and answer the question on the basis of following options. You have to select the one that best describes the two statements. Assertion: Simple interest on Rs. 2000 at a rate of 10% p.a is Rs. 400. Reason: Simple interest on an amount is \[{{\left( \frac{1}{5} \right)}^{\text{th}}}\] of amount. |
| A. | If both Assertion and Reason are correct and Reason is the correct explanation of Assertion. |
| B. | If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. |
| C. | If Assertion is correct but Reason is incorrect. |
| D. | If Assertion is incorrect but Reason is correct. |
| Answer» D. If Assertion is incorrect but Reason is correct. | |
| 1816. |
If \[x+\frac{1}{x}=\sqrt{5}\], then the value of \[{{\mathbf{x}}^{\mathbf{3}}}+\frac{1}{{{x}^{3}}}\] |
| A. | \[8\sqrt{5}\] |
| B. | \[2\sqrt{5}\] |
| C. | \[5\sqrt{5}\] |
| D. | \[7\sqrt{5}\] |
| Answer» C. \[5\sqrt{5}\] | |
| 1817. |
Simplify: \[\frac{3{{p}^{2}}-15{{p}^{3}}q}{12{{p}^{2}}q}\] |
| A. | \[\frac{1-5q}{40q}\] |
| B. | \[\frac{1-5q}{4q}\] |
| C. | \[\frac{1-5pq}{4q}\] |
| D. | \[\frac{1-5pq}{4{{p}^{2}}q}\] |
| Answer» D. \[\frac{1-5pq}{4{{p}^{2}}q}\] | |
| 1818. |
A started a business investing Rs.35000. After 6 months, B joined him with capital Rs.60000. At the end of year, a profit of Rs.26000 divided with their capital. Find the difference of their earnings: |
| A. | Rs. 1000 |
| B. | Rs. 2000 |
| C. | Rs. 2500 |
| D. | Rs. 3000 |
| Answer» C. Rs. 2500 | |
| 1819. |
If \[\left( \mathbf{a}+\mathbf{b}+\mathbf{c} \right)=\mathbf{15}\] and \[(ab+bc+ca)=74,\] find the value of \[\left( {{a}^{2}}+{{b}^{2}}+{{c}^{2}} \right)\] |
| A. | 67 |
| B. | 77 |
| C. | 57 |
| D. | 37 |
| Answer» C. 57 | |
| 1820. |
There were only two candidates who participated in an election. One contestant got 62% votes and was elected by a margin of 144 votes. The total number of votes were |
| A. | 500 |
| B. | 600 |
| C. | 700 |
| D. | 800 |
| Answer» C. 700 | |
| 1821. |
The ratio of the incomes of Kamala and Vimala is 2:3. If Kamala's income is Rs. 9000, then Vimala's income is |
| A. | Rs.13,500 |
| B. | Rs.6000 |
| C. | Rs.12,000 |
| D. | None of these |
| Answer» B. Rs.6000 | |
| 1822. |
An accurate clock shows 8 O "clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 O'clock in the afternoon? |
| A. | \[{{144}^{o}}\] |
| B. | \[{{150}^{o}}\] |
| C. | \[{{168}^{o}}\] |
| D. | \[{{180}^{o}}\] |
| Answer» C. \[{{168}^{o}}\] | |
| 1823. |
DIRECTIONS: Passage-3 Read the passage(s) given below and answer the questions that follow. A man sold two pipes at Rs. 12 each. On one he gained 20% and on the other he lost 20%. What is his gain or loss in the whole transaction? |
| A. | Loss of Rs. 1 |
| B. | gain of Rs. 2 |
| C. | gain of Rs. 1 |
| D. | loss of Rs. 2 |
| Answer» B. gain of Rs. 2 | |
| 1824. |
The value of a machine depreciates every year by 10%. If the present value of the machine is Rs.100000, what will be its value after three years? |
| A. | 20250 |
| B. | 72900 |
| C. | 90000 |
| D. | 81000 |
| Answer» C. 90000 | |
| 1825. |
An empty pipe can empty \[=Speed\times Time\text{ }taken\] of cistern in 20 minutes. In 9 minutes, what part of cistern will be emptied? |
| A. | \[\left( x+y \right)\] |
| B. | \[\left( x-y \right)\] |
| C. | \[2n=3\] |
| D. | \[\left( x-y \right)\] |
| Answer» E. | |
| 1826. |
Consider the following statements. (I) If a sum of money is lent at simple interest, then the: (II) Money gets doubled in 5 years if the rate of interest is \[{{R}_{1}}%\] (III) Money gets doubled in 5 years if the rate of interest 20% (IV) Money becomes four times in 10 years if it gets doubled in 5 years. Which of the above statements is/are correct? |
| A. | I and III |
| B. | Only II |
| C. | III alone |
| D. | II and III |
| Answer» C. III alone | |
| 1827. |
The product of two factors with unlike signs is______. |
| A. | positive |
| B. | Negative |
| C. | Cannot be determined |
| D. | None of these |
| Answer» C. Cannot be determined | |
| 1828. |
If \[\left( \mathbf{3a}+\mathbf{4b} \right)=\mathbf{16}\] and \[\mathbf{ab}=\mathbf{4}.\]Find the value of \[\left( \mathbf{9}{{\mathbf{a}}^{\mathbf{2}}}+\mathbf{16}{{\mathbf{b}}^{\mathbf{2}}} \right)\] |
| A. | 160 |
| B. | 100 |
| C. | 120 |
| D. | 140 |
| Answer» B. 100 | |
| 1829. |
Number of years in which Rs. 400 will earn Rs. 42 as simple interest at \[3\frac{1}{2}%\] p.a. is |
| A. | 5 years |
| B. | 3 years |
| C. | 6 years |
| D. | \[3\frac{1}{2}\] years |
| Answer» C. 6 years | |
| 1830. |
If the difference of the squares of two numbers is 45, the square of the smaller number is 4 times the larger number, then the numbers are |
| A. | 9,6 or 9,-6 |
| B. | 5,6 or 5,-6 |
| C. | 9,5 or 9,-5 |
| D. | None of these |
| Answer» B. 5,6 or 5,-6 | |
| 1831. |
If the discount is 10%, an item bought for Rs.9 is priced at |
| A. | Rs.11 |
| B. | Rs.10 |
| C. | Rs.8.10 |
| D. | Rs.12 |
| Answer» C. Rs.8.10 | |
| 1832. |
X can do a piece of work in 24 days, while Y alone can do it in 16 days. With the help of Z they finish the work in 8 days. Find in how many days Z can do the work alone? |
| A. | 48 days |
| B. | 36 days |
| C. | 24 days |
| D. | 12 days |
| Answer» B. 36 days | |
| 1833. |
Using the identity \[{{(a-b)}^{2}}={{a}^{2}}-2ab+{{b}^{2}},\]find the value of\[~{{96}^{2}}\]. |
| A. | \[9642\] |
| B. | \[9461\] |
| C. | \[9426\] |
| D. | \[9216\] |
| Answer» E. | |
| 1834. |
If Rs. 250 amounts to Rs. 285 in 2 years, the rate percent per annum is |
| A. | 5% |
| B. | 7% |
| C. | \[3\frac{1}{2}\]% |
| D. | 4% |
| Answer» C. \[3\frac{1}{2}\]% | |
| 1835. |
What must be added to the following expression to make it a perfect square?\[\frac{3{{x}^{2}}}{64}-5\frac{\sqrt{21x}}{12}+\frac{157}{9}\] |
| A. | \[\frac{21}{9}\] |
| B. | 1 |
| C. | 2 |
| D. | \[\frac{33}{9}\] |
| E. | None of these |
| Answer» D. \[\frac{33}{9}\] | |
| 1836. |
The speed of a boat in still water is 6km/hr. The boat covers a round trip journey in 12 hours. If speed of the stream is 2km/hr, then find the time taken by the boat to complete the upstream journey. |
| A. | 6hr |
| B. | 8hr |
| C. | 5hr |
| D. | 7hr |
| E. | None of these |
| Answer» C. 5hr | |
| 1837. |
\[{{\left( 3a-2b+5c \right)}^{2}}\] |
| A. | \[9{{a}^{2}}+4{{b}^{2}}+25{{c}^{2}}-12\,ab-20\,bc+30\,ac\] |
| B. | \[9{{a}^{2}}-4{{b}^{2}}-5{{c}^{2}}+12\,ab-20\,bc-30\,ac\] |
| C. | \[9{{a}^{2}}+4{{b}^{2}}-5{{c}^{2}}-12\,ab-20\,bc+30\,ac\] |
| D. | \[3{{a}^{2}}+4{{b}^{2}}-5{{c}^{2}}-12\,ab-20\,bc-30\,ac\] |
| Answer» B. \[9{{a}^{2}}-4{{b}^{2}}-5{{c}^{2}}+12\,ab-20\,bc-30\,ac\] | |
| 1838. |
A man buys 5 apples for Rs.3 and sold each for Rs.2. What did he gain or lose? |
| A. | \[\Rightarrow \]gain |
| B. | 50% gain |
| C. | \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}\]loss |
| D. | \[\frac{100}{3}%\]gain |
| Answer» B. 50% gain | |
| 1839. |
Match column I with column II and select the correct answer using the code given below the columns: Column - I Column - II (A) Solution of \[\frac{{{x}^{5}}-7{{x}^{2}}+18}{{{x}^{3}}-2}\]is (p) ? 8 (B) Solution of \[\frac{{{x}^{5}}+7{{x}^{2}}+18}{{{x}^{3}}-2}\] (q) 0.6 (C) Solution of \[\frac{-{{x}^{5}}-7{{x}^{2}}+18}{{{x}^{3}}-2}\] is (r) \[-\frac{3}{4}\] (D) Solution of \[0.25(4t-3)\]\[=0.05(10t-9)\] (s) 5 (E) Solution of\[\frac{{{x}^{2}}-9}{{{x}^{2}}+3}\] is (t) 2.4 |
| A. | \[\frac{{{x}^{3}}+2{{x}^{2}}-x}{{{x}^{2}}-9}\]\[(D)\to (q),(E)\to (s)\] |
| B. | \[\frac{x}{2}+10+5\]\[(D)\to (p),(E)\to (t)\] |
| C. | \[\frac{x}{2}+15=10\]\[(D)\to (q),(E)\to (p)\] |
| D. | \[6(2a-1)+8=14,\]\[(D)\to (q),(E)\to (p)\] |
| Answer» D. \[6(2a-1)+8=14,\]\[(D)\to (q),(E)\to (p)\] | |
| 1840. |
A room is of dimensions 6x feet in length and 4y feet in breadth. A table measuring 2x feet in length and y feet in breadth is in a corner of the room. Find the area of the room not occupied by the table. |
| A. | \[22\,xy\,\,sq\,\,feet\] |
| B. | \[24\,xy\,\,sq\,\,feet\] |
| C. | \[26\,xy\,\,sq\,\,feet\] |
| D. | \[20\,xy\,\,sq\,\,feet\] |
| Answer» B. \[24\,xy\,\,sq\,\,feet\] | |
| 1841. |
The C.I. on a certain sum for 2 years is Rs.410 and S.I. is Rs.400. What is the rate of interest per annum? |
| A. | 10% |
| B. | 8% |
| C. | 5% |
| D. | 4% |
| Answer» D. 4% | |
| 1842. |
The monthly earnings and expenditures of Asit and Babloo are in the ratio 5:3 and 3:2 respectively. If the monthly savings of Babloo is thrice that of Asit, then find the monthly earning of Asit. [Also it is given that Asit saves Rs 3250 every month] |
| A. | Rs 8500 |
| B. | Rs 8150 |
| C. | Rs 8600 |
| D. | Rs 8000 |
| E. | None of these |
| Answer» C. Rs 8600 | |
| 1843. |
A book was sold for Rs. 27.50 with a profit of 10%. If it were sold for Rs. 25.75, then what would have been the percentage of profit or loss? |
| A. | Loss, 3% |
| B. | Profit, 2% |
| C. | Profit, 3% |
| D. | Loss, 2% |
| Answer» D. Loss, 2% | |
| 1844. |
Find the principal it S.I. is Rs. 50, time period is \[\mathbf{2}\frac{1}{4}\]years and rate percent per annum is \[\mathbf{l}\frac{1}{2}\] %. |
| A. | Rs.1582 |
| B. | Rs.1430\[\frac{26}{27}\] |
| C. | Rs.1481\[\frac{13}{27}\] |
| D. | Rs. 1300 |
| Answer» D. Rs. 1300 | |
| 1845. |
The yearly rent of a house = 54000/-, then what is the rent for four months? |
| A. | 27000/- |
| B. | 10000/- |
| C. | 18000/- |
| D. | 21600/- |
| Answer» D. 21600/- | |
| 1846. |
A man sold a watch for Rs.60 and lost something. Had he sold it for Rs.75, his gain would have been double the former loss. Find the cost price of the watch. |
| A. | 60 |
| B. | 62 |
| C. | 64 |
| D. | 65 |
| Answer» E. | |
| 1847. |
DIRECTION: Following questions consist of two statements, one labelled as the ?Assertion (A)? and the other as ?Reason (R)?. You are to examine these two statement carefully and select the answer to these items using the code given below. Assertion (A): The numbers 4, 6 and 9 are in continued proportion. Reason (R): The numbers 2, 4, 6 are also in continued proportion. |
| A. | Both A and R are individually true and R is the correct explanation of A: |
| B. | Both A and R are individually true but R is not the correct explanation of A. |
| C. | A is true but R is false |
| D. | A is false but R is true. |
| Answer» D. A is false but R is true. | |
| 1848. |
\[\frac{2}{5}\] is expressed as a percentage of \[2\frac{6}{7}\]. The percentage is |
| A. | 14% |
| B. | 15% |
| C. | 7% |
| D. | 0.21 |
| Answer» B. 15% | |
| 1849. |
The speed of train is 120 km/hr. It is increased by 20%. The new speed of the train is |
| A. | 140 km/hr |
| B. | 125 km/hr |
| C. | 145 km/hr |
| D. | 144 km/hr |
| Answer» E. | |
| 1850. |
If \[\left( 3x-2y \right)=5\] and \[\mathbf{xy}=\mathbf{6}.\]Find the value of \[~27{{x}^{3}}-8{{y}^{3}}\] |
| A. | 550 |
| B. | 625 |
| C. | 665 |
| D. | 675 |
| Answer» D. 675 | |