Maths

If, on a marked price, the difference between selling prices with a discount of 65% and with two successive discounts of 30% and 40% is Rs 105, then the marked price (in Rs) is : 

If, on a marked price, the difference between selling prices with a discount of 65% and with two successive discounts of 30% and 40% is Rs 105, then the marked price (in Rs) is :  Optionsa) 1650b) 1050c) 1500d) 1320 Solution As per questionD1 = 30%D2 = 40%Successive Discount = $ D_1 + D_2 = […]

If, on a marked price, the difference between selling prices with a discount of 65% and with two successive discounts of 30% and 40% is Rs 105, then the marked price (in Rs) is :  Read More »

A money bag contains one rupee, 5 rupee and 10 rupee coins in the ratio of 3 : 5 : 7 respectively. If the total amount in the bag is Rs 980, then find the number of coins of Rs 10.

A money bag contains one rupee, 5 rupee and 10 rupee coins in the ratio of 3 : 5 : 7 respectively. If the total amount in the bag is Rs 980, then find the number of coins of Rs 10. Optionsa) 68b) 69c) 71d) 70 Solution As per question Money bag contains = 1

A money bag contains one rupee, 5 rupee and 10 rupee coins in the ratio of 3 : 5 : 7 respectively. If the total amount in the bag is Rs 980, then find the number of coins of Rs 10. Read More »

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 »

A bus travels 1/3 of distance initially at a speed of 40 km/h, the next 1/3 of the distance 50km/h,

A bus travels 1/3 of distance initially at a speed of 40 km/h, the next 1/3 of the distance 50km/h, and the final 1/3 of the distance at 60 km/h. Find the average speed of the bus for the entire journey. (Rounded off to two decimal places) Optionsa) 48.65 km/hb) 46.85 km/hc) 54.13 km/hd) 51.43 km/h Solution Let the Total Distance

A bus travels 1/3 of distance initially at a speed of 40 km/h, the next 1/3 of the distance 50km/h, Read More »

If a right circular cone of height 24 cm has a volume of 1232 cm3 ,then the total surface area of the cone is (use π=22/7)

If a right circular cone of height 24 cm has a volume of 1232 cm3 ,then the total surface area of the cone is (use π=22/7) Optionsa) 704 cm2b) 806 cm2c) 904 cm2d) 608 cm2 Solution As per questionVolume of cone = $ \frac{1}{3} \times \pi \times r^2 \times h $Total curved surface area = πrl+πr2l2

If a right circular cone of height 24 cm has a volume of 1232 cm3 ,then the total surface area of the cone is (use π=22/7) Read More »

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