Equivalent Expressions MCQ Quiz in हिन्दी - Objective Question with Answer for Equivalent Expressions - मुफ्त [PDF] डाउनलोड करें

To simplify by factoring, we look for the greatest common factor of the terms. The GCF of 10 and 25 is 5. We factor out 5 from the expression: . To verify, distribute the 5: and . The expression is correct. Therefore, the correct option is 4.

To find the number of students not in the math club, we first calculate the number of students in the club. of 150 is . Therefore, the number of students in the math club is 60. The number of students not in the club is . Thus, option 2 is correct. The other options do not correctly subtract the number in the club from the total.

Let the width of the garden be meters. Then, the length is meters. The area is given by . Expanding gives . Rearranging, we get . Factoring, we need numbers that multiply to -70 and add to 3, which are 10 and -7. So, . Solving or , we find or . Since width cannot be negative, the width is 7 meters. Therefore, option 2 is correct.

To factor , we need two numbers whose product is 12 and sum is -7. The numbers -3 and -4 satisfy these conditions because and . Therefore, the factored form is . Option 2 is correct. Options 1, 3, and 4 do not satisfy both conditions simultaneously.

To solve , subtract the coefficients of the like terms, . This results in . Thus, the correct answer is option 3. Option 1 incorrectly combines exponents. Option 2 incorrectly treats the exponents. Option 4 incorrectly adds coefficients.

Adding the polynomials involves adding the coefficients of the like terms, : . Therefore, the resulting polynomial is , making option 1 correct. Option 2 multiplies the coefficients. Option 3 incorrectly subtracts. Option 4 incorrectly adds exponents.

To factor , we need two numbers that multiply to -14 and add to -5. The numbers -7 and +2 work because and . Thus, the expression factors to . Therefore, option 3 is correct. Options 1, 2, and 4 do not meet the criteria for both multiplication and addition.

For the expression , we seek two numbers whose product is 8 and sum is 6. These numbers are 2 and 4 because and . Therefore, the factored form is . Hence, option 1 is correct. Options 2, 3, and 4 do not accurately reflect the necessary factor pairs.

To find the total production, add the expressions . The coefficients of the like terms, , are added: . Therefore, the total production is , making option 1 correct. Option 2 incorrectly adds exponents. Option 3 is incorrect due to subtraction. Option 4 incorrectly treats the exponents.

Let represent the number of pens and represent the number of notebooks. We have two equations: (total items) and (total cost). Solving the first equation for gives . Substituting in the second equation: . Simplifying: leads to . Solving for , we get and . Since must be an integer, we re-evaluate our approach. Checking logical integer values, we find if , then fits both and as . Thus, option 3 is correct.