Test Details

Morning Batch

Feb 12, 9:17 AM

70 minutes

Feb 12, 1:00 PM

90.0 marks

MCQ

45 questions

Mr. Vishal Gupta

EX - RIMC TEACHER, Teach Mathematics for Competitive Exams. Running an Academy for Defence Aspirants by the VISHAL ACADEMY. OUR TEAM IS THE EX - RIMC TEACHERS TEAM PREPARING STUDENTS FOR COMPETITIVE EXAMS.

Class Details

Maths

Entrance Exam

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Feb 22, 2022

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Evening Batch

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Class Work

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Feb 19, 2022

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Fractions and Decimals, Simple Equations and 2 other Topics

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Exponents and Power

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Feb 13, 2022

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11:30 Batch

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Home Work Batch 11:30

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Feb 08, 2022

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Pure Arithmetic, Algebra and 2 other Topics

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Feb 07, 2022

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Number Systems, Quadrilaterals and 6 other Topics

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Feb 06, 2022

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Factorisation

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Feb 05, 2022

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Quadrilaterals - NCERT, Surface Areas and Volumes - NCERT and 2 other Topics

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Feb 05, 2022

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Mensuration - NCERT

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Feb 05, 2022

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Factorisation

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Exponents and Powers,Factorisation

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Feb 04, 2022

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Data Handling, Comparing Quantities and 2 other Topics

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Feb 04, 2022

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Rational Numbers, Linear Equations in One Variable and 7 other Topics

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Feb 04, 2022

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Simple Interest & Compound Interest

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HCF & LCM , Square Roots & Cube Roots and 3 other Topics

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HCF & LCM , Square Roots & Cube Roots and 2 other Topics

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Exponents and Powers, Ratio and Proportion and 5 other Topics

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Algebraic Expressions, Identities and Factorisation, Comparing Quantities and 13 other Topics

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Lines and Angles, Quadrilaterals and 1 other Topics

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Pure Arithmetic, Geometry and 2 other Topics

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Linear Equations in One Variable, Squares and Square Roots and 4 other Topics

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Question Text

Question 1 :
Mark tick against the correct answer in each of the following: $(-1/2)^{-6}=$?

Question 2 :
$\left\{ \left( \dfrac { 1 }{ 3 }  \right) ^{ -3 }-\quad \left( \dfrac { 1 }{ 2 }  \right) ^{ -3 } \right\} \div \quad \left( \dfrac { 1 }{ 4 }  \right) ^{ -3 }=?$

Question 4 :
Choose the correct answer from the given four options: The value of $(6^{-1}-8^{-1})^{-1}$ is

Question 5 :
A country in the world has a population of $17.5 \times {10}^{19}$ in $1930$ and there is an increament of $3.2 \times {10}^{19}$ in population after ninety years. What is population of that country in $2020$?

Question 6 :
Choose the correct answer from the given four options: $\bigg(-\dfrac{3}{2}\bigg)^{-1}$ is equal

Question 11 :
For a fixed base(10) if the exponent decreases by $1$, the number becomes

Question 14 :
Mark tick against the correct answer in each of the following: $(1/2)^{-2} +(1/3)^{-2} + (1/4)^{-2}=$?

Question 15 :
Mark tick against the correct answer in each of the following: $\left\{6^{-1} +(3/2)^{-1}\right\}^{-1}$

Question 17 :
Find the value of $\displaystyle \left( { 7a }^{ 6 }-8{ a }^{ 5 }+9{ a }^{ 4 } \right) \div { a }^{ 3 }$

Question 21 :
Divide $\displaystyle 4{ x }^{ 2 }{ y }^{ 2 }\left( 6x-24 \right) \div 4xy\left( x-4 \right) $

Question 22 :
Divide $\displaystyle x\left( x+1 \right) \left( x+2 \right) \left( x+3 \right)$ by $\left( x+3 \right) \left( x+2 \right) $

Question 29 :
What is the possible expression for the dimension of the cuboid whose volume is given below?<div>$Volume: 3x^2-12x$ </div>

Question 32 :
The value of $(\displaystyle 9{ x }^{ 2 }+18x+27) \div 9$ is equal to

Question 33 :
Simplify: $\displaystyle \frac { 20xyz\left( 4x+5y+6z \right)  }{ xz\left( 40x+50y+60z \right)}$

Question 34 :
$\left( 14{ x }^{ 2 }yz-28{ x }^{ 2 }{ y }^{ 2 }{ z }^{ 3 }+32{ y }^{ 2 }{ z }^{ 2 } \right) \div \left( -4xy \right) $ is equal to

Question 35 :
Divide $\displaystyle ( 36{ x }^{ 2 }-4 )$ by $\left( 6x-2 \right) $

Question 42 :
Identify and write the like terms in each of the following groups. $7p , 8pq , -5pq , -2p , 3p$

Question 43 :
Identify and write the like terms in each of the following groups.

Question 44 :
Use the identity $ (a+b)(a-b) = a^2-b^2$ to evaluate: $8.3\times 7.7 $.

Question 45 :
Use the identity $ (a+b)(a-b) = a^2-b^2$ to evaluate: $9.8\times 10.2 $.

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