Explore topic-wise MCQs in 7th Class.

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.

1601.

Four pairs of terms are given as: (i) \[{{a}^{2}}\]and 3ab (ii) 3yz and 6zy     (iii) \[{{b}^{2}}\]and\[-11{{b}^{2}}\] (iv) \[{{a}^{2}}b\]and \[3a{{b}^{2}}\] Which two given pairs are pairs of unlike terms?

A.  (ii) and (iii)
B.  (ii) and (iv)
C.  (i) and (iii)
D.  (i) and (iv)
Answer» E.
1602.

If the average of p, q and r is A and, then find the average of \[{{p}^{2}},\text{ }{{q}^{2}}\] and \[{{r}^{2}}\].

A.       
B.  
C.  None of these
Answer» D.
1603.

In a certain code PUNCTUAL is written a 16598623, in the same code ACTUPULN will be written as:

A. 29861653
B. 29861635
C. 28916135
D. 29851536
Answer» C. 28916135
1604.

A certain sum of money amounts to \[\frac{5}{4}\]of itself in 5 years. What is the rate percent per annum?

A.  5%    
B.      7% 
C.  9%   
D.      12%
Answer» B.      7% 
1605.

Two students drew a line segment each. What is the condition for them to be congruent?

A.  They should be drawn with a scale.
B.  They should be drawn on the same sheet of paper.
C.  They should have different lengths.
D.  They should have the same length.
Answer» E.
1606.

In \[\Delta ABC\], AB=AC and AD is perpendicular to BC. State the property by which\[\Delta ADB\cong \Delta ADC\].

A.  S.A.S. property
B.  S.S.S. property 
C.  R.H.S. property    
D.  A.S.A. property
Answer» D.  A.S.A. property
1607.

Which of the following is an example of A.S.A. criterion of congruency for two triangles \[\Delta ABC\]  and \[\Delta DEF\]?

A.  \[AB=EF,\text{ }\angle B=\angle E\] and \[\angle C=\angle F\]  
B.  \[BC=EF,\text{ }\angle B=\angle E\] and \[\angle C=\angle F\]
C.  \[AC=EF,\text{ }\angle B=\angle D\] and \[\angle C=\angle F\]
D.  \[AC=DE,\text{ }\angle B=\angle D\] and \[\angle C=\angle F\]
Answer» C.  \[AC=EF,\text{ }\angle B=\angle D\] and \[\angle C=\angle F\]
1608.

In two triangles, pairs of corresponding sides and the corres-ponding angles are equal. What can be concluded from this?

A.  The triangles are small.
B.  The triangles are congruent.  
C.  The triangles are equilateral.
D.  The triangles are equiangular.
Answer» C.  The triangles are equilateral.
1609.

Tiara wants to know the width of the given river. While doing so, she stands on the edge of the river and look straight across to a point on the other edge without changing the inclination of the neck and head. She turns side ways until the vision is in line with a point on the side of the stream. From the above description, find the value of QR.   

A.  25 units
B.  12 units
C.  15 units
D.  Can't be determined
Answer» D.  Can't be determined
1610.

In a Delhi Office, the working hours are 9:00 am to 5:30 pm and in between 60 minutes are spent for lunch. Find the ratio of time spent on work to the time spent for lunch.

A. \[8:30\]      
B. \[2:17\]
C. \[6:1\]
D. \[15:2\]
Answer» E.
1611.

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): A ratio has no unit. Reason (R): To find ratio, we divide two quantities having same units.

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» B. If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
1612.

\[2:6::3:9\]cannot be written as:

A. \[\frac{2}{6}=\frac{3}{9}\]       
B. \[\frac{1}{3}={}^{1}/{}_{3}\]
C. \[2:3::6:9\]     
D. \[2:9::6:3\]
Answer» E.
1613.

If \[\mathbf{K}\text{ }+\text{ }\mathbf{13}\text{ }=\text{ }\mathbf{2K}\text{ }-\text{ }\mathbf{13}\], then find the value of \[\frac{\mathbf{7K-130}}{\mathbf{5K+125}}\]

A. \[\frac{52}{255}\]
B.  \[\frac{65}{158}\]
C. \[\frac{37}{139}\]
D.  \[\frac{49}{188}\]
E. None of these
Answer» B.  \[\frac{65}{158}\]
1614.

Three litres of petrol costs Rs. 183/-. How much does Vikram need to pay to fill up his car's petrol tank, if his petrol tank has a capacity of 35 litres?

A. \[Rs.\,\,2000/-\]    
B. \[Rs.\,\,1510/-\]      
C. \[Rs.\,\,2100/-\]    
D. \[Rs.\,\,2135/-\]
Answer» E.
1615.

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 boys to girls is

A. 0.17291666666667
B. 0.129861111111111
C. 0.085416666666667
D. 0.213194444444444
Answer» C. 0.085416666666667
1616.

Which of the following is the condition for two ratios to be equal?

A.  Product of means is equal to antecedents.
B.  Product of extremes is equal to consequents.
C.  Antecedents are equal to consequents.
D.  Product of means is equal to product of extremes.  
Answer» E.
1617.

Two third of a number is 68 less than four-fifth of the number. Find the number.

A. 720      
B.  618
C.  510     
D.  490
E.  None of these
Answer» D.  490
1618.

DIRECTIONS: Passage ? 4 Read the passage(s) given below and answer the questions that follow. A shopkeeper sold a toy at a price of? 990 and make a Profit of 10%. Next day cost price of same toy is Rs. 100 more and selling price remain same. If cost Price of toy is 100 more then there will be loss of

A. Rs. 10       
B. Rs. 15
C. Rs. 20       
D. Rs. 25
Answer» B. Rs. 15
1619.

If  and  then find A?.

A.  
B.  All the above
C.  None of these
Answer» C.  None of these
1620.

If A = {x: x is an odd natural number less than 20} and B = {y: y is a prime number less than 20}, then universal set for the above sets can be represented by _________.

A.  
B.  
C.  None of these
Answer» D.
1621.

The value of the expression \[(2{{x}^{2}}+2xy-y-1)\] is 1 at\[x=0\]. What is the value of y?

A. \[-2\]    
B.  2    
C.  3     
D.  4
Answer» B.  2    
1622.

Kavleen invited 24 of her friends on her birthday party. In the party the ratio of boys and girls was \[3:5\](excluding Kavleen). Find the number of boys and girls invited by Kavleen on her birthday party.

A.  9. 15    
B.  7, 17  
C.      10. 14
D.      6, 18     
Answer» B.  7, 17  
1623.

Direction: Choose the correct expressions for each of the cases given below: 11 more than y times of 7 is subtracted from the largest two digit numbers.

A. 99 - 7y
B. 88 + 7y
C. 88 - 7y
D. 110 - 7y
E. None of these
Answer» D. 110 - 7y
1624.

If a certain code language 8514 is a code for HEAD, 3945 for RIDE and 057 for BEG. What will be the code for GRADE?

A. 71345   
B. 73415
C. 74135   
D. 73145
Answer» E.
1625.

The sum of the present ages of Ravi and Kishan is 69 years. If 8 years ago, Ravi's age was four years less than double the age of Kishan. Find the difference between their present ages (in years).

A. 20 
B.  15
C.  18
D.  17
E.  None of these
Answer» C.  18
1626.

Which among the following is an example of trinomial?

A. - 2xyz  
B. \[{{a}^{2}}x\text{ }+\text{ }{{b}^{2}}{{y}^{3}}\]
C. 2 + a - b
D. 2 + 3ax + ax
E. None of these
Answer» D. 2 + 3ax + ax
1627.

In the given figure, \[AB=AC\] and AD is the bisector of \[\angle BAC\]. Which among the following statements is true?

A. \[\Delta ADB\,\cong \,\Delta ABC\]  
B. \[\Delta ADC\,\cong \,\Delta ABC\]
C. \[\angle B=\angle C\]      
D. \[\angle ABC=\angle CAB\]
Answer» D. \[\angle ABC=\angle CAB\]
1628.

In this given figure, \[PS=SR\] and \[PQ=QR\]. Which of the following is the correct conclusion?

A.  \[\Delta PQR\] and \[\Delta RQS\] are isosceles triangle.
B.  QS bisects \[\angle PSR\].
C.  QS bisects \[\angle QPS\]
D.  \[\Delta \,PQR\] and \[\Delta \,RQS\] are equilateral triangles.
Answer» C.  QS bisects \[\angle QPS\]
1629.

The value of \[{{\left( \frac{-2}{3} \right)}^{7}}\]is

A. negative        
B. 0
C. positive 
D. none of these
Answer» B. 0
1630.

Product of \[\left( \frac{3a}{4}-\frac{2b}{3} \right)\] and \[\left( \frac{3a}{4}+\frac{2b}{3} \right)\] is

A.  \[\frac{9}{16}{{a}^{2}}-\frac{4}{9}{{b}^{2}}\]
B.  \[\frac{9}{16}{{a}^{2}}-\frac{6}{12}{{b}^{2}}\]
C.  \[\frac{9}{16}{{a}^{2}}-\frac{6}{12}{{b}^{2}}-\frac{6}{12}{{b}^{2}}-\frac{4}{9}ab\]
D.  \[\frac{6}{12}{{a}^{2}}-\frac{9}{16}{{b}^{2}}\]
Answer» B.  \[\frac{9}{16}{{a}^{2}}-\frac{6}{12}{{b}^{2}}\]
1631.

Of a certain sum, \[\frac{1}{3}rd\]is invested at 3%, \[\frac{1}{6}th\] at 6% and the rest at 8%. If the S.I. for 2 years from all these investments amounts to Rs.600, what was the original sum?

A.  Rs.2000     
B.      Rs.3000
C.  Rs.4000     
D.      Rs.5000  
Answer» E.
1632.

Which algebraic expression correctly represents the statement twice the number \[\] subtracted from one ?half the product of\[x\]and\[y\]?

A.  \[\frac{xy}{2}=2\]       
B.  \[\frac{xy}{2}-2\]     
C.  \[2xy-\frac{}{2}\]  
D.  \[\frac{}{2}-2xy\]
Answer» C.  \[2xy-\frac{}{2}\]  
1633.

Four pairs of terms are given as: (i)\[{{a}^{2}}\,\,\text{and}\,\,3ab\]        (ii) \[3yz\] and \[6zy\] (iii) \[{{b}^{2}}\,\,\text{and}\,\,-11{{b}^{2}}~\]  (iv) \[{{a}^{2}}b\,\,\text{and}\,\,3a{{b}^{2}}~\] Which two given pairs are pairs of unlike terms?

A.  (ii) and (iii)    
B.  (ii) and (iv)     
C.  (i) and (iii) 
D.  (i) and (iv)
Answer» E.
1634.

If \[l=-1\] and \[m=2,\]then the value of \[4{{l}^{2}}+9{{m}^{2}}+2lm-9{{l}^{2}}m\] is ____.      

A.  39   
B.  24  
C.  18        
D.      36
Answer» D.      36
1635.

There are 48 students in a hostel. If the number of students are increased by 9, the expenses of the mess were increased by Rs. 42 per day which the average expenditure per head reduced by Rs. 2. What is the original expenditure of the mess?

A. Rs. 850      
B.  Rs. 860   
C.  Rs. 832      
D.  Rs. 848
E.  None of these
Answer» D.  Rs. 848
1636.

DIRECTIONS: Match Column-I with Column-II and select the correct answer using the codes given below the columns. A          B          C         D

A. 1       2 3       4
B. 3       4          2       1
C. 3       1 4 2
D. 1       2 4 3
Answer» D. 1       2 4 3
1637.

If ACTION is coded a ZXGRLM, then HEALTH will be coded in the same way as:

A. SVZOGS     
B. TVZOGT
C. RUZPGR        
D. QVGOZQ
Answer» B. TVZOGT
1638.

Sumitra Aunt lent some money to her friends for 6 years, for which she received Rs. 2000 as interest. If her friends paid back a total of \[Rs.\,\,12000/-,\]then what was the rate of interest?

A. \[2\frac{1}{3}%\]          
B. \[4\frac{1}{3}%\]
C. \[6\frac{1}{3}%\]   
D. \[3\frac{1}{3}%\]
Answer» E.
1639.

Given that \[2x-5=7-x,\] then the value of\[x\]is

A. 3      
B. 4
C. 5      
D. 1
Answer» C. 5      
1640.

If x= - 1, y= 2 and z = - 3, then the value of the algebraic expression \[x{{y}^{3}}+y{{x}^{2}}-5xy{{z}^{3}}\]is _____

A. 264  
B. -276
C. -260
D. 276
E. None of these
Answer» C. -260
1641.

Identify the correct statement for the following algebraic expression: \[6y{{x}^{2}}z+2xzy-3{{x}^{2}}yz,\,\,8y{{x}^{2}}z-5zxy+7y{{x}^{2}}z+\]\[2yx{{z}^{2}}+5{{x}^{2}}{{y}^{2}}z\]

A. 2xzy and \[5{{x}^{2}}{{y}^{2}}z\]are like terms.
B. \[7y{{x}^{2}}z\] and -\[~3{{x}^{2}}yz\] are unlike terms.
C. 2xzy, - 5zxy and \[-3{{x}^{2}}yz,\,\,7y{{x}^{2}}z\] and \[8x{{z}^{2}}\text{y, }2yx{{z}^{2}}\] are like terms.
D. 2xzy, - 5zxy and \[-3{{x}^{2}}yz,\,\,7y{{x}^{2}}z\] and \[8x{{z}^{2}}\text{y, }2yx{{z}^{2}}\]are unlike terms,
E. None of these
Answer» D. 2xzy, - 5zxy and \[-3{{x}^{2}}yz,\,\,7y{{x}^{2}}z\] and \[8x{{z}^{2}}\text{y, }2yx{{z}^{2}}\]are unlike terms,
1642.

In the given figure, \[PA\bot AB,\text{ }QB\bot AB\]and \[\Delta OAP=\Delta OBQ,\]then      

A.  \[PA=OB\]    
B.  \[AP=QB\]   
C.      \[OP=BQ\]     
D.        \[OA=OQ\]   
Answer» C.      \[OP=BQ\]     
1643.

Find the value of the following expression at \[\mathbf{a}\text{ }=\text{ }-\text{ }\mathbf{2}\text{ }\mathbf{and}\text{ }\mathbf{b}\text{ }=\text{ }-\text{ }\mathbf{3}\]. \[{{\mathbf{a}}^{\mathbf{3}}}+\text{ }\mathbf{3}{{\mathbf{b}}^{\mathbf{2}}}-\text{ }\mathbf{3ab}\text{ }+\text{ }\mathbf{5a}{{\mathbf{b}}^{\mathbf{2}}}~~~~~\]

A.      -75    
B. -89
C.  39
D.  68
E. None of these
Answer» C.  39
1644.

A cow grazed a circular park of \[\frac{\mathbf{2}}{\mathbf{5}}\mathbf{th}\] of the areas was wet, \[\frac{\mathbf{7}}{\mathbf{15}}\mathbf{th}\] of the area was dry and \[\frac{\mathbf{1}}{\mathbf{21}}\mathbf{st}\] was green. If the remaining area of \[18{{m}^{2}}\] was dug then find the area of the park, which was dry?

A. \[98\text{ }{{m}^{2~}}\]
B. \[~119\text{ }{{m}^{2}}\]
C. \[147\text{ }{{m}^{2}}\]
D. \[~84\text{ }{{m}^{2}}\]
E.  None of these
Answer» B. \[~119\text{ }{{m}^{2}}\]
1645.

What is the value of \[a{{x}^{2}}+bx+c\] at\[x=\frac{+b}{a}\]?

A. \[a\]  
B.  \[{{b}^{2}}-4ac\]
C. \[c+\frac{2{{b}^{2}}}{a}\]     
D.  \[25{{x}^{2}}+\frac{1}{4{{x}^{2}}}\]
Answer» D.  \[25{{x}^{2}}+\frac{1}{4{{x}^{2}}}\]
1646.

DIRECTIONS: Passage ? 3 Read the passage(s) given below and answer the questions that follow. Shyam invested Rs. 5000 at a rate of 7% p.a. after 5 years he collected the total amount and again invested for 3 year at a rate of 6% p.a. His friend also invested Rs. 5000 at a rate of 10% p.a. for 3 years. The total interest received by Shyam is

A. Rs. 2865     
B. Rs. 2765
C. Rs. 2825     
D. Rs. 3575
Answer» B. Rs. 2765
1647.

DIRECTIONS: Words are coded in a particular way in terms of numbers. Find the code of the word given in each of the following questions: If FORM is coded as 5-14-17-12 then DATE will be coded as -

A. 23-26-7-22       
B. 23-25-8-21
C. 3-1-17-3  
D. 3-0-19-4
Answer» E.
1648.

Direction: Choose the correct expressions for each of the cases given below: Her father's age exceeds her age by 24 years.

A. a + 24 
B. a - 24
C. 24a
D. 24 - a
E. None of these
Answer» B. a - 24
1649.

Direction: Choose the correct expressions for each of the cases given below: Perimeter of the rectangle whose length I is 7 times of its breadth (b)

A. 16 b 
B. 14 b
C. 181 
D. 141
E. None of these
Answer» B. 14 b
1650.

'S' packets of 12 sweets each are divides equally among 10 children. How many sweets does each child get?

A.  6S  
B.  \[3S-5\]
C.  6S      
D.  \[6S-10\]
Answer» D.  \[6S-10\]