Question 2 :
What should be subtracted from {tex}\frac { -5 }{ 3 }{/tex} to get {tex}\frac { -2 }{ 7 }{/tex}?<br/>
Question 5 :
When the sum of a 2-digit number ab and number obtained by reversing the digits is divided by (a + b), then quotient is<br/>
Question 6 :
When the sum of a 3-digit number abc and numbers obtained by changing the order of the digits cyclically is divided by 111, then quotient is<br/>
Question 10 :
If 36x52y8 is divisible by 9, then x + y is<br/>
Question 11 :
If A + A + A = BI, where A and B are different digits, then<br/>
Question 12 :
If 467× 8 is divisible by 3, then value of x<br/>
Question 13 :
If 5 pipes can fill the tank in 1 hour, then 4 pipes will fill the tank in<br/>
Question 14 :
A photograph of bacteria is enlarged 100000 times attains a length of 5 cm, then actual length of the bacteria is<br/>
Question 15 :
A car travels 80 km in 5 litres of petrol, then the distance covered by it in 15 litres of petrol is<br/>
Question 16 :
If 10-men can complete a work in 6 days, then 30 men can complete the same work in<br/>
Question 17 :
A tree 12 metre high casts a shadow of length 8 metre. Height of the tree whose shadow is 6 metre in length is<br/>
Question 19 :
A tap fills a tank in 8 hours and another tap at the bottom empties it in 10 hours. If both work together, the tank will be filled in<br/>
Question 20 :
In 10 days, the earth picks up 2.6 × 10{tex}^8{/tex} kg of dust from the atmosphere. How much dust will it pick up in 45 days?
Question 21 :
In a mess, there was enough food for 200 students for 20 days. If 50 new students joined them, then the food will last for<br/>
Question 24 : In the given figure, ABCD is a parallelogram, the values of x, y and z respectively are<br/>
<img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%208/5ef1b36e93cf806c4d41bfbc"/>
Question 25 : In the given figure, the value of x is<br/>
<img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%208/5ef1b36cf5b5ed6c6ba2c840"/>
Question 26 : In the given figure, ABCD is an isosceles trapezium. The values of x, y and z respectively are<br/>
<img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%208/5ef1b370f5b5ed6c6ba2c84d"/>
Question 27 :
If each interior angle of a regular polygon is 144°, then number of sides of polygon is<br/>
Question 28 : In the given figure, the value of x + y is<br/>
<img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%208/5ef1b36df5b5ed6c6ba2c843"/>
Question 29 :
In a rhombus ABCD, the diagonals AC and BD are respectively 8 cm and 6 cm. The length of each side of the rhombus is<br/>
Question 30 :
If the sum of all interior angles of a polygon is 1260°, then number of sides of polygon is<br/>
Question 32 : In the given figure, ABCD is a kite, the value of angle x is<br/>
<img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%208/5ef1b36f93cf806c4d41bfc1"/>
Question 33 :
The lengths of two adjacent sides of a parallelogram are in the ratio 1 : 2. If the perimeter of parallelogram is 60 cm, then length of its sides are<br/>
Question 34 : In Fig., {tex} \mathrm{ABCD} {/tex} is a parallelogram, {tex} \mathrm{X} {/tex} is the mid-point of {tex} \mathrm{DO} {/tex} and {tex} \mathrm{Y} {/tex} is the mid-point of BO.Then, AXCY is a parallelogram.<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%208/5fb7e0b295684b53985605c8"><br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%208/5fb7e0b236712b7fea88ca3d">
Question 35 : In Fig. {tex} \mathrm{ABCD} {/tex} and AEFG are squares. Then {tex} \mathrm{EB}=\mathrm{GD} {/tex}.<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%208/5fb7e0b595684b53985605cd"><br>
Question 36 :
In Fig., {tex} \mathrm{PQRS} {/tex} is a parallelogram. {tex} \mathrm{PT} {/tex} is parallel to UR. Then, PTRU is a parallelogram.
Question 37 : In Fig., {tex} \mathrm{AB}\|\mathrm{DC}\| \mathrm{EF}, \mathrm{DA} \| \mathrm{EB} {/tex} and DE {tex} \| \mathrm{AF} . {/tex} Then, {tex} a r(\| \mathrm{gm} \mathrm{DEFH})=a r(\| \mathrm{gm} \mathrm{ABCD}) {/tex}<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%208/5fb7e0b795684b53985605d0"><br>
Question 38 :
The medians {tex} \mathrm{BE} {/tex} and {tex} \mathrm{CF} {/tex} of a {tex} \Delta \mathrm{ABC} {/tex} intersect at {tex} \mathrm{G} {/tex}. Show that {tex} \Delta \mathrm{AGB}, \Delta \mathrm{BGC} {/tex} and {tex} \Delta \mathrm{AGC} {/tex} have equal areas.
Question 39 : In Fig. {tex} 14.5, \mathrm{X}, \mathrm{Y}, \mathrm{Z} {/tex} are the mid-points of the sides {tex} \mathrm{QR}, \mathrm{RP} {/tex} and {tex} \mathrm{PQ} {/tex} respectively of {tex} \Delta \mathrm{PQR} {/tex}. Show that {tex} \mathrm{QXYZ} {/tex} is a {tex} \| \mathrm{gm} {/tex} whose area is half that of {tex} \Delta \mathrm{PQR} {/tex}. Also, show that<br>{tex} \operatorname{ar}(\Delta \mathrm{XYZ})=\frac{1}{4} \operatorname{ar}(\Delta \mathrm{PQR}) {/tex}<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%208/5fb7e0b495684b53985605cb"><br>
Question 40 :
A quadrilateral is bisected by both its diagonals. Then, it is a parallelogram.
Question 41 :
In Fig., {tex} \mathrm{PQRS} {/tex} is a parallelogram. {tex} \mathrm{PT} {/tex} is parallel to UR. Then, {tex} \mathrm{ST}=\mathrm{QU} {/tex}
Question 42 :
If the ratio between an exterior and interior angle of a regular polygon is 1 : 5, then the number of sides of the polygon is<br/>
Question 43 :
PQRS is a rhombus and the diagonals meet at O (See Fig). Then, <br>{tex}\mathrm{PS}^{2}+\mathrm{SR}^{2}+\mathrm{RQ}^{2}+\mathrm{QP}^{2}=4 \mathrm{SO}^{2}+4 \mathrm{PO}^{2} {/tex}
Question 44 :
If {tex} (\frac {12}{13}) ^ {4} \times (\frac {13}{12}) ^ {-8} = (\frac {12}{13}) ^ {2x} {/tex}, then the value of x is
Question 47 :
Simplify:<br>{tex} \frac{p^{2 n+3} \cdot p^{(2 n+1)(n+2)}}{\left(p^{3}\right)^{2 n+1} \cdot p^{n(2 n+1)}} {/tex}<br>
Question 51 :
In a polyhedron E = 15, V = 10, then F is<br/>
Question 52 : Which of the following is not a prism?<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%208/5ef1b37493cf806c4d41bfd0"/><br/>
Question 53 :
Area of a rhombus is 90 cm<sup>2</sup>. If the length of one diagonal is 10 cm then the length of other diagonal is<br/>
Question 54 :
Volume of a cylinder is 1848 cm<sup>2</sup>. If the diameter of its base is 14 cm, then the height of the cylinder is<br/>
Question 55 :
If the length of a diagonal of a quadrilateral is 10 cm and lengths of the perpendiculars on it from opposite vertices are 4 cm and 6 cm, then area of quadrilateral is<br/>
Question 56 :
If the volume of a cube is 729 cm<sup>3</sup>, then its surface area is<br/>
Question 57 :
If the dimensions of a rectangular room are 10m × 12m × 9m, then the cost of painting its four walls at the rate of ₹8 per m<sup>2</sup> is<br/>
Question 58 :
If the lateral surface area of a cube is 100 cm<sup>2</sup>, then its volume is<br/>
Question 59 :
If the lengths of diagonals of a rhombus is doubled, then area of rhombus will be<br/>
Question 62 :
Probability of getting exactly 2 heads when three coins are tossed together
Question 63 : The pie graph shown in the adjoining figure representing the different subjects liked by the students of class VIII. Study the pie graph carefully and choose the correct answer from the given four options for question <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%208/5ef1b37a93cf806c4d41bfdf"/><br/> Which subject is liked by the maximum number of students<br/>
Question 65 :
Probability of getting the sum as 4 when a pair of dice is rolled
Question 66 : The pie graph shown in the adjoining figure representing the different subjects liked by the students of class VIII. Study the pie graph carefully and choose the correct answer from the given four options for question <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%208/5ef1b37a93cf806c4d41bfdf"/><br/> Number of students who like Science<br/>
Question 69 : The pie graph shown in the adjoining figure representing the different subjects liked by the students of class VIII. Study the pie graph carefully and choose the correct answer from the given four options for question <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%208/5ef1b37a93cf806c4d41bfdf"/><br/> If there are 200 students in class VIII then the number of students who like S. Science<br/>
Question 70 : The pie graph shown in the adjoining figure representing the different subjects liked by the students of class VIII. Study the pie graph carefully and choose the correct answer from the given four options for question <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%208/5ef1b37a93cf806c4d41bfdf"/><br/> Which subject is liked by the minimum number of students<br/>
Question 73 :
The smallest number by which 192 should be multiplied to make it a perfect cube is<br/>
Question 77 :
1+ 3 + 5 + 7 + ……….. up to n terms is equal to<br/>
Question 78 :
The smallest number that should be subtracted from 300 to make it a perfect square is<br/>
Question 81 :
If one number of Pythagoream triplet is 6, then the triplet is<br/>
Question 83 :
On selling an article for ₹ 150, Renu gains ₹30. Her gain percentage is<br/>
Question 84 :
List price of an article is ₹1050. If 6% sales tax is charged, then bill amount is<br/>
Question 85 :
S.P. of a video game is ₹749 including 7% VAT. The original price of video game is<br/>
Question 86 :
Naman buys a game for ₹60 and sells it for ₹75, his profit % is<br/>
Question 87 :
Marked price of an article is ₹675. If it is sold at a discount of 20%, then S.P. is<br/>
Question 89 :
Marked price of a showpiece is ₹950. S.P. of showpiece after two successive discounts of 10% and 10% is<br/>
Question 90 :
Cost price of a watch is ₹680. If Rishabh sells it at a profit of 35%, then S.P. is<br/>
Question 91 :
A jacket is marked for ₹2590. If the S.P. of the jacket is ₹2331, then discount % is<br/>
Question 94 :
Express:<br>{tex} 350 \mathrm{~g} {/tex} as a per cent of {tex} 9 \mathrm{~kg} {/tex}<br>
Question 96 :
If ξ = (all digits in our number system}, A = {x | x is prime} and B = {x | x is even}, then B – A is<br/>
Question 97 :
If ξ = W and A = {x | x ϵ W and x ≤ 10}, then A’ is<br/>
Question 98 :
If ξ= {x | x ϵ W, x ≤ 12}, A – {x | x is a multiple of 3} and B = {x | x is a multiple of 4}, then A ∩ B is<br/>
Question 99 :
In a town of 840 persons, 450 persons read Hindi, 300 read English and 200 read both. Then the number of person who read neither is<br/>
Question 100 :
If {tex} \mathrm{A}=\{x \mid x {/tex} is a letter in the word {tex} \mathrm{APPLE}\} ; \mathrm{B}=\{x \mid x {/tex} is a letter in the word PLANE {tex} \} {/tex}; then{tex} A=B {/tex}.
Question 105 :
The set of all lines parallel to a given line is a finite set.
Question 112 :
If the sum of three consecutive integers is 51, then the largest integer is<br/>
Question 113 :
Fifteen years from now Ravi’s age will be four times his present age. What is Ravi’s present age?<br/>
Question 114 :
If the replacement set is {-5, -3, -1,0, 1, 3}, then the solution set of the inequation -3 < x < 3 is<br/>
Question 115 :
Arjun is twice as old as Shriya. If five years ago his age was three times Shriya’s age, then Arjun’s present age is<br/>
Question 116 :
If the perimeter of a rectangle is 13 cm and its Width is {tex}2 \frac{3}{4}{/tex} cm, then its length is
Question 117 :
If we subtract {tex}\frac{1}{2}{/tex} from a number and multiply the result by {tex}\frac{1}{2}{/tex}, we get {tex}\frac{1}{8}{/tex}, then the number is
Question 118 :
What should be added to twice the rational number {tex}\frac{-7}{3}{/tex} to get {tex}\frac{3}{7}{/tex}
Question 119 :
Sum of digits of a two digit number is 8. If the number obtained by reversing the digits is 18 more than the original number, then the original number is<br/>
Question 120 :
The compound interest on ₹10000 at 8% per annum for 6 months compounded quarterly is
Question 121 :
The compound interest on ₹ 1000 at 10% p.a. for 2 years is<br/>
Question 122 :
The compound interest on ₹5000 at 20% per annum for {tex}1 \frac{1}{2}{/tex} years compounded half yearly is<br/>
Question 123 :
What is the Amount on ₹1625 for 2 years 8 months at 7 <sup> 1 </sup> ⁄ <sub> 2 </sub> % per annum?
Question 124 :
The population of a certain town was 45,56,525 in the year 2015. It increases at a rate of 8% every year. What was its population in the year 2013?
Question 125 :
What is the Sum that Amounts to ₹840 in 5 Years at the rate of 8% per annum Simple Interest?
Question 126 :
Rahul lent ₹6,000 to Martin for 2 years and ₹1500 to Ali for 4 years and received altogether from both ₹900 as Simple Interest. What is the rate of interest?
Question 127 :
Dharmik borrowed ₹720 from Amal at 8% Simple Interest for 3 years and lent the same Sum to Kamal at 10 <sup> 1 </sup> ⁄ <sub> 2 </sub> % Simple Interest for 2 years. In the whole transaction of <strong> Dharmik </strong> what happened?
Question 128 :
A car is purchased for ₹3,48,000 and its value depreciates at 10% per annum during the first year and at 20% per annum during the second year. What will be its value after 2 years?
Question 129 :
What Sum will yield ₹406 as Simple Interest in 1 year 2 months at 6 <sup> 1 </sup> ⁄ <sub> 4 </sub> % per annum?
Question 130 :
The simple interest on a sum of money is {tex}\frac19{/tex} of the principal and the number of years is equal to the rate per cent per annum. Find the rate per cent.
Question 131 :
Ramesh borrowed ₹16,000 at 7 <sup> 1 </sup> ⁄ <sub> 2 </sub> % per annum Simple Interest and lent it to Mahesh <strong> on the same day </strong> at the same rate but Compounded Annually. How much does he gain at the end of 2 years?
Question 132 :
Simple Interest on a certain Sum is 4/9 of the Sum. What is the Rate% if both Time and Rate are numerically equal?
Question 133 :
The basic difference between Simple Interest and Compound interest is that in Simple Interest the ______ remains the same throughout the loan period while in Compound Interest it varies.
Question 134 :
The present population of a village is 1,76,400. If the population increases at the rate of 5% per annum what will be its population after 2 years?
Question 136 :
In what time will the Simple Interest on ₹780 at 5% be equal to the Simple Interest on ₹600 at 6 <sup> 1 </sup> ⁄ <sub> 2 </sub> %?
Question 137 :
What is the time taken by the Simple Interest on a certain Sum of money at 7 <sup> 1 </sup> ⁄ <sub> 2 </sub> % per annum be 3/8 of itself?
Question 138 :
What is the Compound Interest on ₹1,28,000 for 9 months at 10% per annum Compounded Quarterly?
Question 139 :
If we are to divide a Sum of ₹13,500 into two parts such that if one part is lent as 8 <sup> 1 </sup> ⁄ <sub> 3 </sub> % per annum for 2 years 9 months and the other at 7 <sup> 1 </sup> ⁄ <sub> 2 </sub> % per annum for 1 year 8 months. What are the two parts if the total interest received is ₹2375?
Question 140 :
What Sum will Amount to ₹5556 in 2 years 4 months at 6 <sup> 3 </sup> ⁄ <sub> 4 </sub> % per annum Simple Interest?
Question 141 :
Two years ago the population of a town was 10,000. During the first year, it increased at the rate of 5% per annum and during the second year, it increased at the rate of 6% per annum. What is the present population?
Question 142 :
How much time will be required for a Sum of money to double itself at 6 <sup> 1 </sup> ⁄ <sub> 4 </sub> % per annum Simple Interest?
Question 143 :
What will be the Sum if Simple Interest is ₹x at x% for x years?
Question 144 :
What is the Time required for a Sum of money lent at 8 <sup> 1 </sup> ⁄ <sub> 3 </sub> % Simple Interest becomes 4 times of itself?
Question 146 :
What is the Compound Interest on ₹6500 fr 2 years Compounded annually, the rate of interest being 5% per annum during the first year and 6% per annum during the second year?
Question 148 :
Two equal Sums of money were lent at Simple Interest at 11% p.a for 3 <sup> 1 </sup> ⁄ <sub> 2 </sub> years and 4 <sup> 1 </sup> ⁄ <sub> 2 </sub> years. If the difference in interest for two periods was ₹412.50. What is the Sum?
Question 149 :
What Sum of money lent at 12 <sup> 1 </sup> ⁄ <sub> 2 </sub> % per annum will produce the same interest in 4 years as ₹8560 produces in 5 years at 12% per annum?
Question 150 :
If a Sum of money is loaned at Simple Interest, then the <br/> (i) Money gets doubled in 5 years if the rate of interest is 20% per annum <br/> (ii) Money gets doubled in 5 years if the rate of interest is 16 <sup> 2 </sup> ⁄3% per annum <br/> (iii) Money becomes 4 times in 10 years if it gets doubled in 5 years
Question 151 :
What is the Compound Interest on ₹1,60,000 at 10% per annum for 2 years Compounded half-yearly?
Question 152 :
If the Simple Interest on a certain Sum for 15 months at 7 <sup> 1 </sup> ⁄ <sub> 2 </sub> % per annum exceeds the Simple Interest on the same Sum for 8 months at 12 <sup> 1 </sup> ⁄ <sub> 2 </sub> % per annum by ₹32.50. What is the Sum?
Question 154 :
How many years will it take ₹1200 to Amount to ₹1726.50 at 9 <sup> 3 </sup> ⁄ <sub> 4 </sub> % per annum Simple Interest?
Question 155 :
Akshay lends a Sum of money for 10 years at 5% Simple Interest. Bobby lends double that Amount for 5 years at the same Rate of interest. Which statement is true?
Question 156 :
What is the Capital of a Money Lender if the Rate of interest falls from 13% p.a to 12½% p.a and his yearly income diminishes by ₹104?
Question 157 :
At what Rate% per annum, Simple Interest will a Sum treble itself in 15 years?
Question 158 :
If the Amount of ₹25,000 after 2 years Compounded Annually is ₹29,430. Rate is 8% per annum during the first year and 9% per annum during the second year. What is the Compound Interest after 2 years?
Question 159 :
A Sum of ₹2,500 is lent out in two parts, one at 12% and another one at 12 <sup> 1 </sup> ⁄ <sub> 2 </sub> %. What is the money lent at 12% if the total Annual Income is ₹306?
Question 160 :
If S.I and C.I denote Simple Interest and Compound Interest respectively on the same sum at the same rate of interest for the same period. What is the relation between S.I and C.I?
Question 161 :
If we divide ₹8000 into two parts such that if one part is lent at 7 <sup> 1 </sup> ⁄ <sub> 2 </sub> % per annum for 2 years and the other part at 8% per annum for 3 years, the total interest received is ₹1416. How much is the First Part and the Second Part?
Question 162 :
Naveen and Praveen borrowed ₹42,000 and ₹55,000 for 3 <sup> 1 </sup> ⁄ <sub> 2 </sub> years at the same rate of interest. If Praveen has to pay ₹3640 more than Naveen, what is the rate of interest?
Question 163 :
Two equal Sums of money are deposited in two banks, each at 15% per annum for 3 <sup> 1 </sup> ⁄ <sub> 2 </sub> years and 5 years. If the difference between their interest is ₹144. What is the Sum?
Question 164 :
If the Principal Amount equals ₹8600 and Time taken from 18th October 2016 to 13th March 2017 at 8% per annum. What is the <strong> Simple Interest </strong> ?
Question 165 :
What is the Compound Interest on ₹1,25,000 at 12% per annum for 1 <sup> 1 </sup> ⁄ <sub> 2 </sub> years, compounded half-yearly?
Question 166 :
Ashish lent ₹10,500 to Sunidhi at 7% per annum Simple Interest. After 5 years Sunidhi discharged the debt by giving a Bracelet and ₹13,000 in cash. What is the value of the Bracelet?
Question 167 :
A computer is bought for ₹1,80,400. What is the value after 2 years if its value depreciates at the rate of 10% per annum?
Question 168 :
If Compound Interest compounded annually on a Sum of money at a certain rate of interest for “n” years is equal to the Simple Interest on the same Sum at the same rate for the same period. What is “n”?
Question 169 :
A person lent out ₹16,000 on Simple Interest and the same Sum on Compound Interest for 2 years at 121⁄2%per annum. What is the ratio of the Amount received by him as interests after 2 years?
Question 170 :
A mango tree of height 125 cm was planted 3 years ago. If it increases at the rate if 20% per annum, what is its present height?
Question 171 :
At what Rate% of Simple Interest will a Sum of money double itself in 12 years?
Question 172 :
What is the difference between Simple Interest and the Compound Interest on ₹600 for 1 year at 10% per annum that is reckoned half-yearly?
Question 173 :
If x + {tex}\frac{1}{x}{/tex} = 2, then x<sup>2</sup> + {tex}\frac{1}{x^{2}}{/tex} is equal to<br/>
Question 174 :
If the area of a rectangle is 24(x<sup>2</sup>yz + xy<sup>2</sup>z + xyz<sup>2</sup>) and its length is 8xyz, then its breadth is<br/>
Question 175 :
If x<sup>2</sup> + y<sup>2</sup> = 9 and xy = 8, then x + y is equal to<br/>
