Maths

A loss of $ 10\frac12$ % gets converted into a profit of $ 11\frac35$ % when the selling price is increased by Rs 132.60. The cost price (in Rs) of the article is : Solution: Let the Cost Price (CP) = 100a First case: SP = CP- CP x Loss%SP= $ 100a – 100a \times

The number of student in class IX and class X is 42 and 45, respectively. The ratio of the number of boys to girls in classes is IX and X is 9 : 5 and 8 : 7, respectively, What is the difference between the total number of boys and the total number of girls

A batsman scored 124 runs, which included 6 boundaries and 10 sixes. what percentage of his total score did he make by running between the wickets? Optionsa) $ 28 \frac {19}{31}$%b) $ 24 \frac {1}{31}$%c) $ 32 \frac {8}{31}$%d) $ 35 \frac {3}{31}$% Solution As per questionThe batsman scored from boundaries = 6 x 4

A nine – digit number 89563x87y is divisible by 72. What is the value of $ \sqrt{7x – 3y}$ ? Options a) 8b) 5c) 6d) 4 Solution As per question 89563x87y is divisible by 72Factor of 72 = 9 x 8The number will be divided by 9 and 8 Divisibility Rule The number is divisible by 8 if

A TV was available for Rs 14,500, The price came down to Rs 11,890 during the Diwali sale. What is the percentage discount? Optionsa) 19.56%b) 19% c) 18% d) 17.6% Solution As per questionActual price of TV = 14500 Rs.Diwali sale price of TV = 11890 Rs.Discount = 14500 – 11890 = 2610Discount % =

What is 12% of 4% of 7% of 2 × 106 ? Options a) 386b) 583c) 672d) 121 Solutions As per questions = $ \frac{12}{100} \times \frac{4}{100} \times \frac{7}{100} \times \frac{2 \times10^6}{1}$= $ \frac{12 \times 4 \times 7}{1000000} \times \frac{2 \times 1000000}{1}$= 672 Ans: c) 672

A solid metallic rectangular block of dimensions 112 cm × 44 cm × 25 cm is melted and recast into a cylinder of radius 35 cm. The curved surface area (in cm2) of the cylinder is: (Take π=22/7) Optionsa) 7260b) 6600c) 7040d) 6160 Solutions As per questionsVolume of cuboid = $ \L \times B \times H$Volume of cylinder =

The ratio of A’s and B’s salary is 6 : 7, If B’s salary is increased by $ 5\frac12$, then his total salary becomes Rs 1,47,700. The salary (in Rs) of A is : Options a) 1,10,000b) 1,20,000c) 1,40,000d) 1,35,000 Solution As per question Ratio of salary A and B = 6x : 7x If B’s

Divide Rs 2,760 in to two parts such that when these are invested for 2 and 4 years, respectively, at the rate of 5% per annum simple interest, the amounts received are equal. What is the second part (in Rs) invested? Optionsa) 1100b) 1500c) 1320d) 1440 Solution As per questionLet First Part is a and

A person crosses a 1600 m long street in 4 min. What is his speed (in km/h)? Options:a) 22b) 14c) 20d) 24 Solution: Distance = speed x time as per questions distance = 1600m =1.6kmTime = 4 min.=4/60 hr.Speed =? speed =$ \frac {d}{t} =\dfrac{1.6}{\frac{4}{60}}$speed =$ \frac{1.6\times60}{4}$speed =24 km/h Ans: 24 km/h