This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 11101. |
Prove that (2a+3b-4c)^3-8a^3-27b^3+64c^3=6(2a+3b)(3b-4c)(a-2c) |
| Answer» Prove that (2a+3b-4c)^3-8a^3-27b^3+64c^3=6(2a+3b)(3b-4c)(a-2c) | |
| 11102. |
Every morning, MR.X either reads a book or watches T.V. The probability that he watches T.V. is 4/5. If he watched T.V., there is a probability of 3/4 that he falls asleep. If he reads a book the probability that he falls asleep is 1/4. On one evening Mr.X is found to be asleep. The probability that he watched T.V. is: |
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Answer» Every morning, MR.X either reads a book or watches T.V. The probability that he watches T.V. is 4/5. If he watched T.V., there is a probability of 3/4 that he falls asleep. If he reads a book the probability that he falls asleep is 1/4. On one evening Mr.X is found to be asleep. The probability that he watched T.V. is: |
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| 11103. |
Find the value of (a2 + 2a)2a + 5 if 'a' can have values 6, 16. |
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Answer» Find the value of (a2 + 2a)2a + 5 if 'a' can have values 6, 16. |
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| 11104. |
Which of the following is an example of Non-polyhedron? |
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Answer» Which of the following is an example of Non-polyhedron? |
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| 11105. |
If x and y are distinct integers, then which of the following is true about x+y2 ? |
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Answer» If x and y are distinct integers, then which of the following is true about x+y2 ? |
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| 11106. |
It is given that ΔABC∼ΔEDF such that AB = 5cm, AC = 7cm, DF = 15cm and DE = 12cm. find the lengths of the remaining sides of the triangles. |
| Answer» It is given that ΔABC∼ΔEDF such that AB = 5cm, AC = 7cm, DF = 15cm and DE = 12cm. find the lengths of the remaining sides of the triangles. | |
| 11107. |
Which of the following is the factorisation of 8x3+y3? |
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Answer» Which of the following is the factorisation of 8x3+y3? |
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| 11108. |
Find the angle measure x in the given figure. |
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Answer» Find the angle measure x in the given figure.
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| 11109. |
Question 90(iv)Look at the histogram below and answer the questions that follow. ?How many students have height less than 140 cm ? |
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Answer» Question 90(iv) Look at the histogram below and answer the questions that follow. ? |
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| 11110. |
Explain distributive property ? |
| Answer» Explain distributive property ? | |
| 11111. |
Draw appropriate graph to depict the runs scored by the Indian team. [2 MARKS] PlayersScoreRahul 90Sachin99Saurav56Sehwag30Gambhir 30Yuvraj48Kohli82Zaheer 0Nehra 1Mishra 19 |
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Answer» Draw appropriate graph to depict the runs scored by the Indian team. [2 MARKS] PlayersScoreRahul 90Sachin99Saurav56Sehwag30Gambhir 30Yuvraj48Kohli82Zaheer 0Nehra 1Mishra 19 |
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| 11112. |
A car covers a distance of 60k metres in an hour. Calculate the speed of the car in m/sec. |
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Answer» A car covers a distance of 60k metres in an hour. Calculate the speed of the car in m/sec. |
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| 11113. |
The surface area of a cube is 864 cm2. Its volume is |
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Answer» The surface area of a cube is 864 cm2. Its volume is |
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| 11114. |
A hundred rupee note was changed into ten rupee notes and twenty rupee notes. There were seven notes in all. How many of each denomination were there? |
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Answer» A hundred rupee note was changed into ten rupee notes and twenty rupee notes. There were seven notes in all. How many of each denomination were there? |
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| 11115. |
If the area of a rectangle is 12m2n5 cm2 and the length is 4mn2 cm find the breadth of the rectangle. |
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Answer» If the area of a rectangle is 12m2n5 cm2 and the length is 4mn2 cm find the breadth of the rectangle. |
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| 11116. |
If k is a scalar and I is a unit matrix of order 3, then adj (kI) = ________________. |
| Answer» If k is a scalar and I is a unit matrix of order 3, then adj (kI) = ________________. | |
| 11117. |
In the following pie chart if A contains 50 students, then the total number of students is? |
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Answer» In the following pie chart if A contains 50 students, then the total number of students is?
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| 11118. |
(i) An ice-cream cone (ii) a cricket ball (iii) a glass tumbler (iv) a brick.Which of the above are polyhedrons? |
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Answer» (i) An ice-cream cone (ii) a cricket ball (iii) a glass tumbler (iv) a brick. Which of the above are polyhedrons? |
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| 11119. |
If John sells his bicycle for Rs.637, he will suffer a loss of 9%. For how much should it be sold, if he desires a profit of 5% ? |
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Answer» If John sells his bicycle for Rs.637, he will suffer a loss of 9%. For how much should it be sold, if he desires a profit of 5% ? |
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| 11120. |
What is the greatest number than can be represented on a number line? |
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Answer» What is the greatest number than can be represented on a number line? |
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| 11121. |
Find the value of (2+√5)×(2−√5)? -1 |
Answer» Find the value of (2+√5)×(2−√5)?
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| 11122. |
Construct a 5 × 5 magic square using all even numbers from 1 to 50. |
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Answer» Construct a 5 × 5 magic square using all even numbers from 1 to 50. |
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| 11123. |
If length of a rectangle is 3.2 cm and breadth is 1 cm , then find the error in area and perimeter. |
| Answer» If length of a rectangle is 3.2 cm and breadth is 1 cm , then find the error in area and perimeter. | |
| 11124. |
There are 1800 students in a school. 800 selected football, 750 selected basketball and the remaining selected cricket.Find the ratio of the total number of students to the number of students who selected cricket or football. |
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Answer» There are 1800 students in a school. 800 selected football, 750 selected basketball and the remaining selected cricket.Find the ratio of the total number of students to the number of students who selected cricket or football. |
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| 11125. |
Jordan is very conscious about his health. He goes for a morning walk on a daily basis. He keeps a track of the time that he needs to cross different distances as tabulated below. Miles Time (minutes) 1.5332402.552360On a Sunday, Jordan decides to cover 3.5 miles. How much time in minutes Jordan needs to complete 3.5 miles walk? |
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Answer» Jordan is very conscious about his health. He goes for a morning walk on a daily basis. He keeps a track of the time that he needs to cross different distances as tabulated below.
On a Sunday, Jordan decides to cover 3.5 miles. How much time in minutes Jordan needs to complete 3.5 miles walk? |
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| 11126. |
Square of odd numbers can be expressed as: |
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Answer» Square of odd numbers can be expressed as: |
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| 11127. |
Unlike terms can be _______. |
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Answer» Unlike terms can be _______. |
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| 11128. |
Question 4Construct the Rectangle OKAY whereOK=7 cm, KA= 5cm |
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Answer» Question 4 |
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| 11129. |
Question 116(i)Following is a pie chart showing the amount spent (in Rs thousands) by a company on various modes of advertising for a product. Now, answer the following questionsWhich type of media advertising is greatest amount of the total ? |
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Answer» Question 116(i) Following is a pie chart showing the amount spent (in Rs thousands) by a company on various modes of advertising for a product. |
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| 11130. |
Given:(x+y+z)×(ab+1)=1 Find the value of z if x is additive inverse of y and a is multiplicative inverse of b. |
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Answer» Given:(x+y+z)×(ab+1)=1 Find the value of z if x is additive inverse of y and a is multiplicative inverse of b. |
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| 11131. |
State with reasons whether the following statements are ‘true’ or ‘false’.(i) Every parallelogram is a rhombus.(ii) Every rhombus is a rectangle.(iii) Every rectangle is a parallelogram.(iv) Every squre is a rectangle.(v) Every square is a rhombus.(vi) Every parallelogram is a rectangle. |
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Answer» State with reasons whether the following statements are ‘true’ or ‘false’. (i) Every parallelogram is a rhombus. (ii) Every rhombus is a rectangle. (iii) Every rectangle is a parallelogram. (iv) Every squre is a rectangle. (v) Every square is a rhombus. (vi) Every parallelogram is a rectangle.
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| 11132. |
Can the angle of a prism be less than 10 degrees? |
| Answer» Can the angle of a prism be less than 10 degrees? | |
| 11133. |
If we take regular data readings at small time intervals, what type of graph is most suitable? |
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Answer» If we take regular data readings at small time intervals, what type of graph is most suitable? |
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| 11134. |
A set of points that are equidistant from a fixed point in three-dimensional space is known as . |
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Answer» A set of points that are equidistant from a fixed point in three-dimensional space is known as |
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| 11135. |
In the given figure, If the area of parallelogram BIPS is 144m2, then the area of ΔNPSis _____. |
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Answer» In the given figure, |
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| 11136. |
An football camp of 30 boys has provision for 20 days. After 10 days, 10 boys left the camp. The food will last for ___ days. |
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Answer» An football camp of 30 boys has provision for 20 days. After 10 days, 10 boys left the camp. The food will last for ___ days. |
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| 11137. |
x^2+1/y^2=8x^2-1/y^2=? |
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Answer» x^2+1/y^2=8 x^2-1/y^2=? |
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| 11138. |
Question 39In the question given below, fill in the blank to make the statement true:(a−b)2+ ___ =a2−b2 |
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Answer» Question 39 In the question given below, fill in the blank to make the statement true: (a−b)2+ |
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| 11139. |
Question 5 A jar contains 24 marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is 23. Find the number of blue balls in the jar. |
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Answer» Question 5 A jar contains 24 marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is 23. Find the number of blue balls in the jar. |
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| 11140. |
Define binomial clearly ? Is it x+1/x binomial? |
| Answer» Define binomial clearly ? Is it x+1/x binomial? | |
| 11141. |
Find the cube of −25? |
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Answer» Find the cube of −25? |
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| 11142. |
93. We toss a dice 3 times.Among all posible outcomes,how many have at least one occurrence of six? |
| Answer» 93. We toss a dice 3 times.Among all posible outcomes,how many have at least one occurrence of six? | |
| 11143. |
Simplify:[(5z−2)2+40z]÷(5z+2) |
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Answer» Simplify: |
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| 11144. |
In the adjoining figure, O is the centre of the circle whose diameter is MN. Measures of some central angles are given. Find the measure of angle AOB. |
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Answer» In the adjoining figure, O is the centre of the circle whose diameter is MN. Measures of some central angles are given. Find the measure of angle AOB. |
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| 11145. |
Question 84 (iv)Campus and Welfare Committee of school is planning to develop a blue shade for painting the entire school building. For this purpose, various shades are tried by mixing containers of blue paint and white paint. In each of the following mixtures, decide which is a lighter shade of blue and also find the lightest blue shade among all of them |
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Answer» Question 84 (iv) Campus and Welfare Committee of school is planning to develop a blue shade for painting the entire school building. For this purpose, various shades are tried by mixing containers of blue paint and white paint. In each of the following mixtures, decide which is a lighter shade of blue and also find the lightest blue shade among all of them |
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| 11146. |
Find angle x and measure of each exterior angle of the given figure. [4 MARKS] |
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Answer» Find angle x and measure of each exterior angle of the given figure. [4 MARKS] |
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| 11147. |
Question 12 A scooter was bought at Rs 42,000.It's value depreciated at the rate of 8% per annum. Find its value after one year. |
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Answer» Question 12 A scooter was bought at Rs 42,000.It's value depreciated at the rate of 8% per annum. Find its value after one year. |
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| 11148. |
In parallelogram ABCD, ∠A=3 times ∠B. Find all the angles of the parallelogram. In the same parallelogram,~if AB=5x−7 and CD = 3x+1; find the length of CD. |
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Answer» In parallelogram ABCD, ∠A=3 times ∠B. Find all the angles of the parallelogram. In the same parallelogram,~if AB=5x−7 and CD = 3x+1; find the length of CD. |
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| 11149. |
Below is the table given in which No. of bikes produced by company A with respect to the years are shown. YEARS No. OF BIKES 2010 5000 2012 6000 2014 7000 2016 8000 State Yes/NoDoes the above table represents No. of bikes as the function of years in which these are produced. |
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Answer» Below is the table given in which No. of bikes produced by company A with respect to the years are shown.
State Yes/No Does the above table represents No. of bikes as the function of years in which these are produced. |
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| 11150. |
Is it possible to construct a quadrilateral ABCD in which a b is equals to 5 centimetre BC is equals to 7.5 CM angle A is equals to 80 degree angle b is equals to 140 degree and Angle C is equals to 145 degree .if not give reason why |
| Answer» Is it possible to construct a quadrilateral ABCD in which a b is equals to 5 centimetre BC is equals to 7.5 CM angle A is equals to 80 degree angle b is equals to 140 degree and Angle C is equals to 145 degree .if not give reason why | |