Maths MCQs

Simplify(8.3)3+(9.2)3+(6.1)3−3×8.3×9.2×6.1/(8.3)2+(9.2)2+(6.1)2−8.3×9.2−9.2×6.1×8.3

Simplify$ \dfrac{(8.3)^3+(9.2)^3+(6.1)^3-3 \times 8.3 \times 9.2 \times 6.1}{(8.3)^2+(9.2)^2+(6.1)^2-8.3 \times 9.2 – 9.2 \times 6.1 \times 8.3}$ Optionsa) 25.5b) 28.7c) 23.6d) 30.2 Solution As per question$ \dfrac{(8.3)^3+(9.2)^3+(6.1)^3-3 \times 8.3 \times 9.2 \times 6.1}{(8.3)^2+(9.2)^2+(6.1)^2-8.3 \times 9.2 – 9.2 \times 6.1 \times 8.3}$Let thea = 8.3b = 9.2c = 6.1$ \frac{a^3+b^3+c^3-3abc}{a^2+b^2+c^2-ab-bc-ca}$a3+b3+c3-3abc = (a+b+c)(a2+b2+c2-ab-bc-ca)$ \frac{(a+b+c)(a^2+b^2+c^2-ab-bc-ca)}{(a^2+b^2+c^2-ab-bc-ca)}$ = (a+b+c)Put value in

Simplify(8.3)3+(9.2)3+(6.1)3−3×8.3×9.2×6.1/(8.3)2+(9.2)2+(6.1)2−8.3×9.2−9.2×6.1×8.3 Read More »

The radii of the two cones are in the ratio of 2 : 5 and their volumes are in the ratio of 3 : 5. What is the ratio of their heights?

The radii of the two cones are in the ratio of 2 : 5 and their volumes are in the ratio of 3 : 5. What is the ratio of their heights? Optionsa) 4 : 11b) 15 : 4c) 11 : 15d) 13 : 11 Solution As per questionTwo cones are in the ratio of 2

The radii of the two cones are in the ratio of 2 : 5 and their volumes are in the ratio of 3 : 5. What is the ratio of their heights? Read More »

Which of the following is the largest 5 – digit number divisible by 47?

Which of the following is the largest 5 – digit number divisible by 47? Optionsa) 98888b) 99969c) 10000d) 99999 Solution As per questionLargest 5 – digit number = 99999Divide this number by 47 99,999÷47 = 2127.65Quotient = 2127Multiply of the quotient by 472127×47 = 99,969Check if 99,969 is divisible by 4799,969÷47 = 2127 Ans: b) 99969

Which of the following is the largest 5 – digit number divisible by 47? Read More »

If 25% of x is 40 less than 30% of (x+60), then 35% of (x−40) is what percentage more than 120 ?

If 25% of x is 40 less than 30% of (x+60), then 35% of (x−40) is what percentage more than 120 ? Optionsa) $ 16 \frac 23$%b) 20%c) $ 12 \frac 13$%d) $ 15 \frac 43$% Solution As per question25% of x = $ \frac {x \times 25}{100} = \frac{x}{4}$ As per question: 25% of x is 40 less

If 25% of x is 40 less than 30% of (x+60), then 35% of (x−40) is what percentage more than 120 ? Read More »

A man bought two mobiles phones for Rs 50,000. He sold one of them at a profit of 15% and the other at a loss of 20%,

A man bought two mobiles phones for Rs 50,000. He sold one of them at a profit of 15% and the other at a loss of 20%, If the selling price of each mobile is the same, what is the approximate cost price (to the nearest rupee) of the mobile that was sold at a

A man bought two mobiles phones for Rs 50,000. He sold one of them at a profit of 15% and the other at a loss of 20%, Read More »

A man lent out Rs 14,000 at 5% and Rs 19,000 at 6% simple interest per annum. His total income(in Rs) from the interest in 3 years is:

A man lent out Rs 14,000 at 5% and Rs 19,000 at 6% simple interest per annum. His total income(in Rs) from the interest in 3 years is: Options a) 3,420b) 2,100c) 5,445d) 5.520 Solution As per questionP = 14000R = 5%T = 3 yearP = 19000R = 6%T = 3 yearS.I = $ \frac

A man lent out Rs 14,000 at 5% and Rs 19,000 at 6% simple interest per annum. His total income(in Rs) from the interest in 3 years is: Read More »

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