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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.
| 1701. |
Let a and b be two finite sets such that n = 60, n = 110 and. Find. |
| A. | 170 |
| B. | 210 |
| C. | 30 |
| D. | 20 |
| E. | None of these |
| Answer» D. 20 | |
| 1702. |
Direction: Choose the correct expressions for each of the cases given below: If a note book costs Rs m and a pen costs Rs 15, then the total cost (in Rs) of 5 notebooks and 17 pens. |
| A. | 5m+85 |
| B. | m + 260 |
| C. | m + 235 |
| D. | 5m + 255 |
| E. | None of these |
| Answer» E. None of these | |
| 1703. |
The given figure shows \[\Delta \,ABC\] with equal altitudes BE and CF. What is the perimeter of \[\Delta \,ABC\]? |
| A. | 19 cm |
| B. | 21 cm |
| C. | 24 cm |
| D. | 25 cm |
| Answer» C. 24 cm | |
| 1704. |
Direction: Choose the correct expressions for each of the cases given below: p is multiplied by - 21 and the result is subtracted from the least prime number. |
| A. | 2 - 21 p |
| B. | 1 - 21p |
| C. | 2 + 21p |
| D. | 1 + 21p |
| E. | None of these |
| Answer» D. 1 + 21p | |
| 1705. |
Direction: Choose the correct expressions for each of the cases given below: The sum of two odd consecutive integers is divided by 2. |
| A. | n+1 |
| B. | n+2 |
| C. | 2n + 2 |
| D. | n+2 |
| E. | none of these |
| Answer» D. n+2 | |
| 1706. |
A certain map uses a scale of 1 inch equals 10 km. How many km are represented by 10 inches on this map? |
| A. | 200 km |
| B. | 100 km |
| C. | 150 km |
| D. | 135 km |
| Answer» C. 150 km | |
| 1707. |
Map of India uses a scale of 1 inch equal to 10 mile. If the distance between Nasik to Bombay is 120 miles, what will the distance on the given map? |
| A. | 10 inch |
| B. | 12 inch |
| C. | 24 inch |
| D. | None of these |
| Answer» C. 24 inch | |
| 1708. |
For any natural number\[n\], what does \[2n+1\] denote? |
| A. | An even number |
| B. | An odd number |
| C. | A composite number |
| D. | A prime number |
| Answer» C. A composite number | |
| 1709. |
The product of \[1\times \left( x-y \right)\left( x+y \right)\left( {{x}^{2}}+{{y}^{2}} \right)\]is |
| A. | \[{{x}^{2}}-{{y}^{2}}~\] |
| B. | \[{{x}^{4}}+{{y}^{4~}}~\] |
| C. | \[{{x}^{4}}-{{y}^{4}}~\] |
| D. | \[{{x}^{2}}+{{y}^{2}}~\] |
| Answer» D. \[{{x}^{2}}+{{y}^{2}}~\] | |
| 1710. |
The zero of the polynomial \[\frac{4}{7}b-\frac{7}{15}\]is............... |
| A. | \[\frac{49}{60}\] |
| B. | \[\frac{100}{71}\] |
| C. | 70 |
| D. | None of these |
| Answer» B. \[\frac{100}{71}\] | |
| 1711. |
If \[\left( a-\frac{1}{a} \right)=7\], then the value \[{{a}^{2}}+\frac{1}{{{a}^{2}}}\] is: |
| A. | 50 |
| B. | 51 |
| C. | 49 |
| D. | 47 |
| Answer» C. 49 | |
| 1712. |
Which algebraic expression correctly represents the statement: the square of the product of numbers \[x\] and \[y\] subtracted from the square of their sum? |
| A. | \[{{x}^{2}}+{{y}^{2}}-{{x}^{2}}{{y}^{2}}\] |
| B. | \[{{x}^{2}}{{y}^{2}}-\left( {{x}^{2}}+{{y}^{2}} \right)\] |
| C. | \[{{(x+y)}^{2}}-{{x}^{2}}{{y}^{2}}\] |
| D. | \[{{x}^{2}}{{y}^{2}}-{{(x+y)}^{2}}\] |
| Answer» D. \[{{x}^{2}}{{y}^{2}}-{{(x+y)}^{2}}\] | |
| 1713. |
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. Number of female teachers is what percentage of total number of students. |
| A. | |
| B. | |
| C. | |
| D. | |
| Answer» E. | |
| 1714. |
State T for true and 'F' for false. (i) Mr Prateek has a total of Rs. 15000. He spends 35% of his money on his child's education and save the rest. He save Rs. 9750. (ii) In the second terminal examination, Trishu scored 65 marks in English, 75 marks in Hindi, 65 marks in Social Science, 82 marks in Maths and 91 marks in Science. If the maximum marks for each subject is 100, the percentage of his aggregate marks is 75%. (iii) Sidak bought 100 dozen pencils at Rs, 20 per dozen. She sold the pencils at Rs. 2 each. Her loss per cent is 20%. |
| A. | (i) (ii) (iii) F F T |
| B. | (i) (ii) (iii) T F T |
| C. | (i) (ii) (iii) F T T |
| D. | (i) (ii) (iii) T F F |
| Answer» E. | |
| 1715. |
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): Value of \[\frac{{{2}^{x+3}}\times {{3}^{2x-y}}\times {{5}^{x+y+3}}\times {{6}^{y+1}}}{{{6}^{x+1}}\times {{10}^{y+3}}\times {{15}^{x}}}\] Reason: Value of x so that \[x={{(64)}^{\sqrt{-\frac{1}{2}}}}-{{(-32)}^{-\frac{4}{5}}}\]is \[\frac{3}{6}\] |
| 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. | |
| 1716. |
In the given figure, \[AB=AC\] and \[AD=AE\]. Which of the following statements is not true? |
| A. | \[\angle CAE=\angle BAD\] |
| B. | \[\Delta ACE=\Delta ABD\] |
| C. | \[\Delta AEC=\Delta ABD\] |
| D. | \[BE=DC\] |
| Answer» D. \[BE=DC\] | |
| 1717. |
Consider the following statements. (i) If there is only one term in an expression, it is called a monomial. (ii) An algebraic expression is a combination of numbers, literals, and arithmetic operations. (iii) An algebraic expression with one or more terms is also referred to as a polynomial. Which of the statement(s) is/are true |
| A. | Only (i) |
| B. | Only (ii) |
| C. | Only (iii) |
| D. | All of the above |
| Answer» E. | |
| 1718. |
The simple interest on a sum of money is \[\frac{4}{9}\]of the principal. Find the rate percent and time, if both are numerically equal. |
| A. | \[5\frac{2}{3}%,\] 5 years 8 months |
| B. | \[7\frac{2}{3}%,\], 7 years 8 months |
| C. | \[6\frac{2}{3}%,\] 6 years 8 months |
| D. | \[6\frac{2}{3}%,\] 7 years 8 months |
| Answer» D. \[6\frac{2}{3}%,\] 7 years 8 months | |
| 1719. |
The value of \[\left( -5{{x}^{2}}y \right)\times \left( -\frac{2}{3}x{{y}^{2}}z \right)\times \]\[\left( \frac{8}{15}xy{{z}^{2}} \right)\times \left( -\frac{1}{4}z \right)\]is _________. |
| A. | \[-\frac{4}{9}{{x}^{4}}{{y}^{4}}{{z}^{4}}\] |
| B. | \[\frac{4}{9}{{x}^{4}}{{y}^{4}}{{z}^{4}}\] |
| C. | \[-\frac{4}{9}{{x}^{3}}{{y}^{3}}{{z}^{3}}\] |
| D. | \[\frac{4}{9}{{x}^{3}}{{y}^{3}}{{z}^{3}}\] |
| Answer» B. \[\frac{4}{9}{{x}^{4}}{{y}^{4}}{{z}^{4}}\] | |
| 1720. |
Simplify: \[({{a}^{2}}b-2ab+3{{b}^{2}}a)\]- \[\left( -b{{a}^{2}}+3ab-2a{{b}^{2}} \right)\] |
| A. | \[2{{a}^{2}}b-3ab-a{{b}^{2}}\] |
| B. | \[2{{a}^{2}}b-5ab-5a{{b}^{2}}\] |
| C. | \[2{{a}^{2}}b-5ab+5a{{b}^{2}}\] |
| D. | \[2{{a}^{2}}b-5ab+a{{b}^{2}}\] |
| E. | None of these |
| Answer» D. \[2{{a}^{2}}b-5ab+a{{b}^{2}}\] | |
| 1721. |
Add \[5{{x}^{2}}y+3x{{y}^{2}}-2{{y}^{2}}x\]to \[7xy+3x{{y}^{2}}-2{{y}^{2}}x\] |
| A. | \[7{{x}^{2}}y-5x{{y}^{2}}+10xy\] |
| B. | \[{{x}^{2}}y-x{{y}^{2}}+10xy\] |
| C. | \[7{{x}^{2}}y-3x{{y}^{2}}+10xy\] |
| D. | \[7{{x}^{2}}y-5x{{y}^{2}}+10xy\] |
| E. | None of these |
| Answer» B. \[{{x}^{2}}y-x{{y}^{2}}+10xy\] | |
| 1722. |
The given figure shows \[\Delta ABC\] & \[\Delta DBC,\] \[AB=DB\]and \[CA=CD\] What is the measure of \[\angle DBC\]? |
| A. | \[115{}^\circ \] |
| B. | \[100{}^\circ \] |
| C. | \[150{}^\circ \] |
| D. | \[155{}^\circ \] |
| Answer» B. \[100{}^\circ \] | |
| 1723. |
In an examination, 96% of the candidates passed and 50 failed. What is the number of candidates who appeared for the examination? |
| A. | 1520 |
| B. | 1250 |
| C. | 1530 |
| D. | 1350 |
| Answer» C. 1530 | |
| 1724. |
Last year, the price of petrol was Rs. 65 per litre. Recently, the government decreased the price of petrol to Rs. 61 per litre. What was the percentage decrease in the price of petrol? |
| A. | \[8\frac{3}{65}%\] |
| B. | \[6\frac{3}{65}%\] |
| C. | \[6\frac{2}{13}%\] |
| D. | \[6\frac{34}{61}%\] |
| Answer» D. \[6\frac{34}{61}%\] | |
| 1725. |
Which one among the following is an example of empty set? |
| A. | |
| B. | All the above |
| C. | None of these |
| Answer» D. | |
| 1726. |
Which one among the following is an example of disjoint set? |
| A. | and |
| B. | A = {Set of even natural numbers less than 20} and B = {Set of odd natural numbers less than 20} |
| C. | P = {Set of first two natural numbers} and Q= {Set of first two prime numbers which are odd} |
| D. | All the above |
| E. | None of these |
| Answer» E. None of these | |
| 1727. |
\[{{x}^{2}}-{{(-x)}^{2}}\]is equal to |
| A. | \[-2{{x}^{2}}\] |
| B. | \[2{{x}^{2}}\] |
| C. | \[{{x}^{4}}\] |
| D. | \[0\] |
| Answer» E. | |
| 1728. |
When a number is reduced by 5, it becomes 75% of itself. Find the number. |
| A. | 20 |
| B. | 45 |
| C. | 10 |
| D. | 35 |
| Answer» B. 45 | |
| 1729. |
HORSE is written in certain code as BUNGY and CAT as HOW, how will CHEST be written in the same code? |
| A. | OBYGW |
| B. | WYGBN |
| C. | UNHBY |
| D. | HBYGW |
| Answer» E. | |
| 1730. |
What is the sum of \[\frac{{{a}^{2}}}{2}-\] \[\frac{{{b}^{3}}}{3}-\] \[\frac{{{c}^{3}}}{4};\] \[\frac{2{{a}^{2}}}{3}-\] \[\frac{3{{b}^{3}}}{4}-\]\[\frac{4{{c}^{3}}}{5}\]and\[{{a}^{2}}+{{b}^{3}}+{{c}^{3}}\]? |
| A. | \[\frac{13}{6}a-\frac{1}{12}{{b}^{3}}-\frac{1}{20}{{c}^{3}}\] |
| B. | \[\frac{13}{6}a-\frac{21}{20}{{b}^{3}}+\frac{25}{12}{{c}^{3}}\] |
| C. | \[\frac{13}{6}{{a}^{2}}+\frac{5}{12}{{b}^{3}}-\frac{1}{20}{{c}^{3}}\] |
| D. | \[\frac{23}{6}{{b}^{2}}+\frac{25}{12}{{a}^{3}}-\frac{1}{20}{{c}^{3}}\] |
| Answer» D. \[\frac{23}{6}{{b}^{2}}+\frac{25}{12}{{a}^{3}}-\frac{1}{20}{{c}^{3}}\] | |
| 1731. |
Identify the like terms in the following (i) \[-x{{y}^{2}},\] (ii) \[-4y{{x}^{2}},\] (iii) \[8{{x}^{2}},\](iv) \[2x{{y}^{2}},\] (v) \[7y,\] (vi) \[-11{{x}^{2}},\](vii) \[-100x,\](viii) \[-11yx,\] (ix) \[20{{x}^{2}}y\] |
| A. | (i) and (iv) |
| B. | (ii) and (vi) |
| C. | Both a & b |
| D. | None |
| Answer» B. (ii) and (vi) | |
| 1732. |
Mohit's monthly salary was\[Rs.\text{ }5445q\]. He saved 30% of it and gave \[\frac{1}{2}\] of the remainder to his parents. If Mohit used \[\frac{3}{4}\]of the amount of money, he had left to buy a guitar, then how much money would he have left, if \[q=8\]? |
| A. | \[Rs.\text{ }1100.50\] |
| B. | \[Rs.\,11434.50\] |
| C. | \[Rs.\text{ }11079.50\] |
| D. | \[Rs.\,3811.50\] |
| Answer» E. | |
| 1733. |
In a certain code LIBERATE is written as 56403170. TRIBAL will be written in the same code as: |
| A. | 734615 |
| B. | 736415 |
| C. | 136475 |
| D. | 34615 |
| Answer» C. 136475 | |
| 1734. |
Solve: 2m - [3n - {m - (2r - 3n) + 4r - 3(m - n - 2r)}] |
| A. | 3n + 8r |
| B. | 3m - 6n + 6r |
| C. | 8m - 3n + 6r |
| D. | 6m + 3n - 8r |
| E. | None of these |
| Answer» B. 3m - 6n + 6r | |
| 1735. |
What percentage of 1 litre is\[50\text{ }c{{m}^{3}}\]? |
| A. | 2% |
| B. | 5% |
| C. | 20% |
| D. | 50% |
| Answer» C. 20% | |
| 1736. |
In the given figure, if \[\Delta OAP=\Delta OBQ,\]then which of the following is NOT true? |
| A. | AO = BO |
| B. | AP = SO |
| C. | PO = BO |
| D. | \[\angle APO=\angle BQO\] |
| Answer» D. \[\angle APO=\angle BQO\] | |
| 1737. |
The code for certain letters are indicated in the following words: TRADE-54321, BADGE-93271, GRADE-74321, QUEUE-80101. What is the code for 'G'? |
| A. | 7 |
| B. | 4 |
| C. | 2 |
| D. | 8 |
| Answer» B. 4 | |
| 1738. |
?sti nro kti? ? ?clouds pour down? ?nro bsi mit? ? ?down he goes? ?bsi nro zpi? ? ?died down he? from second & third statement we can say that ?bsi nro? means ?he down? so rest is ?mit? that means ?goes |
| A. | nro |
| B. | mit |
| C. | kit |
| D. | bsi |
| Answer» C. kit | |
| 1739. |
In the given figure, \[AB||CD\] and \[AD||BC\] If the perimeter of \[\Delta ABD=30\text{ }cm,\]then what is the perimeter of quadrilateral ABCD? |
| A. | 25 cm |
| B. | 30 cm |
| C. | 35 cm |
| D. | 50 cm |
| Answer» C. 35 cm | |
| 1740. |
If and , then find . |
| A. | 76 |
| B. | 86 |
| C. | 66 |
| D. | 56 |
| E. | None of these |
| Answer» D. 56 | |
| 1741. |
Direction for questions: Consider the below: Based on above diagram answer the following: is__________. |
| A. | |
| B. | |
| C. | None of these |
| Answer» D. | |
| 1742. |
Direction for questions: Consider the below: Based on above diagram answer the following: is_________. |
| A. | 12 |
| B. | 8 |
| C. | None of these |
| Answer» B. 8 | |
| 1743. |
Direction for questions: Consider the below: Based on above diagram answer the following: is equal to. |
| A. | 6 |
| B. | 8 |
| C. | 10 |
| D. | 12 |
| E. | None of these |
| Answer» C. 10 | |
| 1744. |
If then which of the following statements is correct? |
| A. | |
| B. | |
| C. | All the above |
| D. | None of these |
| Answer» B. | |
| 1745. |
Subtract the following: \[\mathbf{3}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+ 13}{{\mathbf{y}}^{\mathbf{2}}}\] from \[\mathbf{3}{{\mathbf{x}}^{\mathbf{2}}}-\mathbf{5}{{\mathbf{y}}^{\mathbf{2}}}\] from \[\mathbf{3}{{\mathbf{x}}^{\mathbf{2}}}-\mathbf{5}{{\mathbf{y}}^{\mathbf{2}}}\] |
| A. | 18y2 |
| B. | -18y2 |
| C. | \[8{{y}^{2}}+\text{ }6{{x}^{2}}\] |
| D. | \[7{{x}^{2}}-8{{y}^{2}}\] |
| E. | None of these |
| Answer» C. \[8{{y}^{2}}+\text{ }6{{x}^{2}}\] | |
| 1746. |
What profit percent is made by selling an article at a certain price if by selling at \[\frac{3}{4}th\] of that price results in a loss of 10%? |
| A. | 20% |
| B. | 15% |
| C. | 25% |
| D. | 10% |
| Answer» B. 15% | |
| 1747. |
What is the expression related to the pattern 7, 11, 15, ........? |
| A. | \[2n-1~\] |
| B. | \[4n+3~\] |
| C. | \[4n+1\] |
| D. | \[{{n}^{2}}-1\] |
| Answer» C. \[4n+1\] | |
| 1748. |
What is the \[{{6}^{th}}\] term of a pattern described by the expression\[{{n}^{2}}-1?\] |
| A. | 33 |
| B. | 35 |
| C. | 37 |
| D. | 6 |
| Answer» C. 37 | |
| 1749. |
Simplify the following expression. \[x\left( y-z \right)+y\left( z-x \right)+z\left( x-y \right)\] |
| A. | 0 |
| B. | \[2y\left( z-x \right)~\] |
| C. | \[2x\left( z-y \right)~\] |
| D. | \[2z\left( x-y \right)~\] |
| Answer» B. \[2y\left( z-x \right)~\] | |
| 1750. |
Solve \[4{{x}^{2}}\text{ }+\text{ }9{{y}^{2}}\text{ }-\text{ }6xy\] for x = - 2 and y = 3. |
| A. | 133 |
| B. | 61 |
| C. | 81 |
| D. | 123 |
| E. | None of these |
| Answer» B. 61 | |