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MCQOPTIONS
This section includes 2154 Mcqs, each offering curated multiple-choice questions to sharpen your 7th Class knowledge and support exam preparation. Choose a topic below to get started.
| 1751. |
After a deduction of 5% from a certain sum and then 10% from the remainder, a sum of Rs. 171 is left. What was the original sum? |
| A. | Rs.200 |
| B. | Rs.250 |
| C. | Rs.150 |
| D. | Rs.300 |
| Answer» B. Rs.250 | |
| 1752. |
What value of m, satisfies 17 = 3 + 2m. |
| A. | 6 |
| B. | 5 |
| C. | 7 |
| D. | 3 |
| Answer» D. 3 | |
| 1753. |
A sum of Rs. 1500 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 750 more is lent but at the rate twice the former. At the end of the year, Rs. 67 is earned as interest from both the loan. Find the original rate of interest. |
| A. | |
| B. | |
| C. | None of these |
| Answer» C. None of these | |
| 1754. |
A sum of Rs. 10,400 is borrowed at 8% simple interest and is paid back in 5 equal annual installments. What is amount of each installments? |
| A. | Rs. 2600 |
| B. | Rs. 2800 |
| C. | Rs. 2575 |
| D. | Rs. 2460 |
| E. | None of these |
| Answer» C. Rs. 2575 | |
| 1755. |
What annual installment (in Rs. ) will discharge a debt of Rs. 7848 due in 4 years at 6% simple interest? |
| A. | 1600 |
| B. | 1800 |
| C. | 1500 |
| D. | 2000 |
| E. | None of these |
| Answer» C. 1500 | |
| 1756. |
Which congruence criterion can be used to conclude\[\Delta XYZ=\Delta QPR\]? |
| A. | SAS |
| B. | SSS |
| C. | RHS |
| D. | None of these |
| Answer» E. | |
| 1757. |
Ananya is designing the window shown in the figure. She wants to make \[\Delta PRQ\]congruent to \[\Delta PRS.\]She designs the window so that\[PR\bot QS\]. Which of the following conditions will make the two triangles congruent? |
| A. | RQ = RS |
| B. | PQ = PS |
| C. | Both (a) and (b) |
| D. | None of these |
| Answer» D. None of these | |
| 1758. |
If \[x+y=5,\,\,y+z=7\]and \[z+x=12,\] what is the value of \[x+y+z\]? |
| A. | 12 |
| B. | 2 |
| C. | 5 |
| D. | 24 |
| Answer» B. 2 | |
| 1759. |
What is the difference between a + b and a - b |
| A. | 2b |
| B. | 2a |
| C. | \[2a+2b~\] |
| D. | \[2a-2b~\] |
| Answer» B. 2a | |
| 1760. |
The length of a rectangle is \[2(x+6)\,cm,\]and its width is half its length. What is its perimeter? |
| A. | \[6(x-3)\,cm\] |
| B. | \[6(x-6)\,cm\] |
| C. | \[3(x+6)\,cm\] |
| D. | \[(6x+36)\,cm\] |
| Answer» E. | |
| 1761. |
The length and breadth of a rectangular plot are l and b. Two rectangular paths each of width 'r' run inside the plot one parallel to the length and the other parallel to the breadth. What is the total area of the paths? |
| A. | \[(1+r)(b+r)-1b\] |
| B. | \[1b-(1-r)(b-r)\] |
| C. | \[\left( 1+b-r \right)r~\] |
| D. | \[1b-\left( 1-2r \right)\left( b-2r \right)\] |
| Answer» D. \[1b-\left( 1-2r \right)\left( b-2r \right)\] | |
| 1762. |
If the perimeter of a regular octagon is 2x metres, then the length of each of its sides is ________ |
| A. | x - 8 |
| B. | 2x+8 |
| C. | x - 4 |
| D. | 16x |
| E. | None of these |
| Answer» D. 16x | |
| 1763. |
Which one among the following statements is correct? |
| A. | The word variable means something that is fixed. |
| B. | The value of the constant which satisfies the equation is called a solution of the equation. |
| C. | An expression with a variable, constants and the sign of equality is called an algebraic expression. |
| D. | The definite value of the variable which satisfies the equation is called the solution of the equation. |
| E. | None of these |
| Answer» E. None of these | |
| 1764. |
Two numbers are in the ratio\[3:5\]. If each number is increased by 10, the ratio becomes\[5:7\]. The numbers are ____, |
| A. | 3, 5 |
| B. | 7, 9 |
| C. | 13, 22 |
| D. | 15, 25 |
| Answer» E. | |
| 1765. |
Value of\[x\]in Proportion \[2:3::4:x\] is |
| A. | 8 |
| B. | 12 |
| C. | 6 |
| D. | 16 |
| Answer» D. 16 | |
| 1766. |
In a group of 75 people, 48 like coffee and 36 like cold drinks and each person likes at least one of the two drinks. How many people like both coffee and cold drinks? |
| A. | 11 |
| B. | 9 |
| C. | 18 |
| D. | 17 |
| E. | None of these |
| Answer» C. 18 | |
| 1767. |
DIRECTIONS: Passage ? 1 Read the passage(s) given below and answer the questions that follow In a school, there are 180 students out of which 70% are girls. Also, there are 10 teachers out of which 80% teachers are female. Ratio of number of girls to number of male teacher |
| A. | 1 : 63 |
| B. | 0.103472222222222 |
| C. | 63 : 1 |
| D. | 1.20972222222222 |
| Answer» D. 1.20972222222222 | |
| 1768. |
Which of the following criterion does not exist in the field of congruency of triangles. |
| A. | A.S.A. criterion |
| B. | R.H.S. criterion |
| C. | A.A.A. criterion |
| D. | S.S.S. criterion |
| Answer» D. S.S.S. criterion | |
| 1769. |
If we apply Pythagoras theorem, R.H.S. property of congruency may be seen to be same as: |
| A. | SSS property |
| B. | AAA property |
| C. | ASA property |
| D. | None of above |
| Answer» B. AAA property | |
| 1770. |
DIRECTIONS: The questions in this segment consists of two statements, one labelled as ?Assertion A? and the other labelled as ?Reason R?. You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion (A): \[3-t>2\] is an in equation. Reason (R): For \[t=0\] and \[1,\,\,3-t>2.\] |
| 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. | |
| 1771. |
If n(P - Q) = 67, , and then find n(Q) |
| A. | 127 |
| B. | 118 |
| C. | 143 |
| D. | 129 |
| E. | None of these |
| Answer» D. 129 | |
| 1772. |
In the given question, a question is asked and is followed by three statements. While answering the question, you may or may not require the data provided in all the statements. You have to read, the question and the three statements and then decide whether the question can be answered with any one or two of the statements or all the three statements are required to answer the question. Select the correct option. What is the principal sum? (i) The sum amounts to Rs, 690 in 3 years at S.I. (ii) The sum amounts to Rs. 750 in 5 years at S.I. (iii) The rate of interest is 5% p.a. |
| A. | Both (I) and (iii) |
| B. | Both (ii) and (iii) |
| C. | Both (i) and (ii) |
| D. | Any two of the three |
| Answer» E. | |
| 1773. |
In\[6\left( 2a-1 \right)+8=14,\]the value of \['a'\] is |
| A. | \[-1\] |
| B. | \[3\frac{1}{12}\] |
| C. | \[1\frac{3}{12}\] |
| D. | \[+1\] |
| Answer» E. | |
| 1774. |
The value of 5.5 % of 40 + 3 % 60 is |
| A. | 3 |
| B. | 1 |
| C. | 2 |
| D. | 4 |
| Answer» E. | |
| 1775. |
Evaluate the following algebraic expression for \[\mathbf{x}\text{ }=\text{ }\mathbf{2},\text{ }\mathbf{y}\text{ }=\text{ }-\text{ }\mathbf{5},\text{ }\mathbf{z}\text{ }=\text{ }-\text{ }\mathbf{4},\text{ }\mathbf{a}\text{ }=\text{ }-\text{ }\mathbf{2},\text{ }\mathbf{b}=-\mathbf{1}:\] \[\mathbf{13}\text{ }+\text{ }\mathbf{5}{{\mathbf{z}}^{\mathbf{3}}}\mathbf{xy}\text{ }+\text{ }\mathbf{3x}{{\mathbf{y}}^{\mathbf{2}}}+\text{ }{{\mathbf{a}}^{\mathbf{2}}}\mathbf{b}\text{ }-\text{ }\mathbf{8xyz}\] |
| A. | 3039 |
| B. | 2058 |
| C. | 4037 |
| D. | 5251 |
| E. | None of these |
| Answer» B. 2058 | |
| 1776. |
Which congruence criterion can be used to state that\[\Delta XOY=\text{ }\Delta POQ\]? |
| A. | ASA |
| B. | SAS |
| C. | SSS |
| D. | RHS |
| Answer» B. SAS | |
| 1777. |
If E = 5, PEN = 35, then PAGE = ? |
| A. | 27 |
| B. | 28 |
| C. | 29 |
| D. | 36 |
| Answer» D. 36 | |
| 1778. |
Simplify: 2x - [5y - {3x - (3y - 5x)}] |
| A. | 12x - 10y |
| B. | 10x - 8y |
| C. | 6x - 8y |
| D. | 8x - 10y |
| E. | None of these |
| Answer» C. 6x - 8y | |
| 1779. |
The value of \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}-ab+bc-ac+a\]for\[a=1,b=2\] and \[c=-1\] is |
| A. | 2 |
| B. | 4 |
| C. | 7 |
| D. | 5 |
| Answer» C. 7 | |
| 1780. |
A basket has 23 oranges and bananas. How many bananas are there in the basket if there are 'p' oranges in it? |
| A. | \[23\,p\] |
| B. | \[23-\,p\] |
| C. | \[23+\,p\] |
| D. | \[p-23\] |
| Answer» C. \[23+\,p\] | |
| 1781. |
Simplify: \[({{a}^{3}}-2{{a}^{2}}+4a-5)-(-{{a}^{3}}-8a+2{{a}^{2}}+5)\] |
| A. | \[2{{a}^{3}}+7{{a}^{2}}+6a-10\] |
| B. | \[2{{a}^{3}}+7{{a}^{2}}+12a-10\] |
| C. | \[2{{a}^{3}}-4{{a}^{2}}+12a-10\] |
| D. | \[2{{a}^{3}}-4{{a}^{2}}+6a-10\] |
| Answer» D. \[2{{a}^{3}}-4{{a}^{2}}+6a-10\] | |
| 1782. |
Which of the following statement is correct? (i) If the price of an article is 200 and is decreased by then new price will be (ii) Total amount can be calculated as (iii) Simple interest is based only on Rate of interest, time and Principal. (iv) For profit S.P. must be less then C.P. |
| A. | Only (i) is correct |
| B. | Both (ii) and (iii) correct |
| C. | Only (iii) is correct |
| D. | All are correct |
| Answer» D. All are correct | |
| 1783. |
In the figure, \[PQ=PS\] and \[QR=SR\]. If \[\Delta PQR\] is congruent to \[\Delta PSR,\] which of the following is correct? |
| A. | \[\angle QPR=\angle PRS\] |
| B. | \[\angle RPS=\angle RQP\] |
| C. | \[\angle QRP=\angle SRP\] |
| D. | \[\overline{PR}=\overline{RS}\] |
| Answer» D. \[\overline{PR}=\overline{RS}\] | |
| 1784. |
How much is 3x - 2y + 5z greater than 2x "3y -" 5z? |
| A. | x - y + 10z |
| B. | x + 2y + 8Z |
| C. | x + 3y - 10z |
| D. | x + y + 10z |
| E. | None of these |
| Answer» E. None of these | |
| 1785. |
Subtract \[5{{x}^{2}}yz-2x{{y}^{2}}z+3xyz\]from\[xyz-2zx{{y}^{2}}+4zy{{x}^{2}}\]. |
| A. | \[2xyz+4zy{{x}^{2}}\] |
| B. | \[-2xyz\text{ }+\text{ }4zy{{x}^{2}}\] |
| C. | \[-2xyz-zy{{x}^{2}}\] |
| D. | \[-xyz+zy{{x}^{2}}\] |
| E. | None of these |
| Answer» D. \[-xyz+zy{{x}^{2}}\] | |
| 1786. |
A man purchased a bag of rice containing 70 kg for Rs.175. He sold it at the rate of Rs.2.75 per kg. Find the profit or loss %. |
| A. | 12% loss |
| B. | 10% gain |
| C. | 12% gain |
| D. | 10% loss |
| Answer» C. 12% gain | |
| 1787. |
Simplify: \[(3x+2y-9)\,(2x-6y+2)-[(4x-9y-1)\]\[+(-3x+8y+7)]\] |
| A. | \[6{{x}^{2}}-14xy-12{{y}^{2}}-13x+59y-24\] |
| B. | \[6{{x}^{2}}-12xy-18{{y}^{2}}-17x+61y-29\] |
| C. | \[8{{x}^{2}}-14xy-12{{y}^{2}}-13x+57y-24\] |
| D. | \[8{{x}^{2}}-14xy-12{{y}^{2}}-17x+61y-29\] |
| Answer» B. \[6{{x}^{2}}-12xy-18{{y}^{2}}-17x+61y-29\] | |
| 1788. |
The expression \[\left( \mathbf{5m}\text{ }-\text{ }\mathbf{n}\text{ }+\text{ }\mathbf{5} \right)\text{ }-\text{ }\left( \mathbf{m}\text{ }-\text{ }\mathbf{n} \right)\] is a _________ |
| A. | monomial |
| B. | trinomial |
| C. | binomial |
| D. | quadrinomial |
| E. | None of these |
| Answer» D. quadrinomial | |
| 1789. |
Which of the following examines the congruence of plane figures? |
| A. | Trial and error method |
| B. | Superposition method |
| C. | Substitution method |
| D. | Transposition method |
| Answer» C. Substitution method | |
| 1790. |
The sides of a right angled triangle are\[2a\,\,cm,\,(2a+2)\,cm\] and \[(4a-2)\,cm\] long. What is the length of the shortest side of the triangle if its perimeter is\[24\text{ }cm\]? |
| A. | \[\text{8 }cm\] |
| B. | \[\text{6 }cm\] |
| C. | \[\text{10 }cm\] |
| D. | \[\text{3 }cm\] |
| Answer» C. \[\text{10 }cm\] | |
| 1791. |
\[\Delta ABC\cong \Delta FDE\] What is the measure of \[\angle F\]? |
| A. | \[{{70}^{o}}\] |
| B. | \[{{50}^{o}}\] |
| C. | \[{{130}^{o}}\] |
| D. | \[{{60}^{o}}\] |
| Answer» B. \[{{50}^{o}}\] | |
| 1792. |
DIRECTIONS: Passage ? 1 Read the passage(s) given below and answer the questions that follow. Let K represents any terminating decimal or a number from 1 to 9.999 _ _ _ (or\[1\le K |
| A. | \[2.3\times {{10}^{-1}}\] |
| B. | \[2.3\] |
| C. | \[2.3\times 10\] |
| D. | \[\frac{2.3}{10}\] |
| Answer» B. \[2.3\] | |
| 1793. |
A sum of Rs. 9510 is made up of 50, 20, 10 and 5 rupee notes. The number of 10 rupee notes is \[\frac{\mathbf{21}}{\mathbf{31}}\] of the number of 50 rupee notes, \[\frac{\mathbf{42}}{\mathbf{37}}\] of the number of 5 rupee notes and \[\frac{\mathbf{4}}{\mathbf{5}}\] of the number of 20 rupee notes. Find the sum of the number of notes of each denomination. |
| A. | 387 |
| B. | 284 |
| C. | 365 |
| D. | 390 |
| E. | None of these |
| Answer» B. 284 | |
| 1794. |
The number of seats for admission is increased by 20% every year between 1999 to 2002. If the number of seats in 1999 was 2000, what was the number of seats in 2002? |
| A. | 2880 |
| B. | 3456 |
| C. | 4356 |
| D. | 3200 |
| Answer» C. 4356 | |
| 1795. |
Radha bought a table for Rs. 5000 and sold it for Rs. 5800/-. What was the profit percentage that she made? |
| A. | \[16\frac{1}{2}%\] |
| B. | \[24%\] |
| C. | \[16%\] |
| D. | \[13\frac{23}{29}%\] |
| Answer» E. | |
| 1796. |
In an election between two candidates, the candidate who gets 30% of the votes got 10000 more votes than his nearest rival who got 20% votes. What is the number of votes polled? |
| A. | 30000 |
| B. | 1,00,000 |
| C. | 20,000 |
| D. | 45,000 |
| Answer» C. 20,000 | |
| 1797. |
If 341782 denotes MONKEY and 0592 denotes RAGS, then 75195044 will denote |
| A. | KANGAROO |
| B. | PALMANTT |
| C. | HANGAMEE |
| D. | KARNAGOO |
| Answer» B. PALMANTT | |
| 1798. |
The given algebraic expression of its exponent in ascending order is \[x-{{x}^{8}}+{{x}^{2}}-1.7{{x}^{10}}+1.4{{x}^{8}}-7.8{{x}^{2}}+4-9x\] |
| A. | \[4-8x-6.8{{x}^{2}}+0.4{{x}^{8}}-1.7{{x}^{10}}\] |
| B. | \[-1.7{{x}^{10}}+0.4{{x}^{8}}-6.8{{x}^{2}}-8x+4\] |
| C. | \[4-6.8x-8{{x}^{2}}+0.4{{x}^{8}}-1.7{{x}^{10}}\] |
| D. | \[-1.7{{x}^{10}}-0.4{{x}^{8}}-6.8{{x}^{2}}+8x+4\] |
| Answer» B. \[-1.7{{x}^{10}}+0.4{{x}^{8}}-6.8{{x}^{2}}-8x+4\] | |
| 1799. |
What will be the simplified form of\[21b-32+7b-20b?\] |
| A. | \[21b-20b-32+7b\] |
| B. | \[21b-20b+7b-32\] |
| C. | \[8b-32\] |
| D. | None of the above |
| Answer» D. None of the above | |
| 1800. |
Match the following. Column-l Column-ll (P) \[({{x}^{2}}+5)\,({{x}^{3}}+3)+5\] (1) \[-{{x}^{3}}-3{{x}^{2}}+3x+2\] (Q) \[\left( \frac{-10}{3}x{{y}^{3}} \right)\times \left( \frac{6}{5}{{x}^{3}}y \right)\] (2) \[-{{x}^{2}}+{{x}^{2}}+3x-6\] (R) \[({{x}^{3}}-{{x}^{2}}-x-2)-\]\[(2{{x}^{3}}+2{{x}^{2}}-4x-4)\] (3) \[{{x}^{5}}+5{{x}^{3}}+3{{x}^{2}}+20\] (S) \[({{x}^{3}}-{{x}^{2}}-x-2)+\]\[(2{{x}^{2}}-2{{x}^{3}}+4x-4)\] (4) \[-4{{x}^{4}}{{y}^{4}}\] |
| A. | (P)\[\to \](1), (Q)\[\to \](2), (R)\[\to \](3), (S)\[\to \](4) |
| B. | (P)\[\to \](3), (Q)\[\to \](4), (R)\[\to \](1), (S)\[\to \](2) |
| C. | (P)\[\to \](4), (Q)\[\to \](1), (R)\[\to \](3), (S)\[\to \](2) |
| D. | (P)\[\to \](3), (Q)\[\to \](4), (R)\[\to \](2), (S)\[\to \] (1) |
| Answer» C. (P)\[\to \](4), (Q)\[\to \](1), (R)\[\to \](3), (S)\[\to \](2) | |