UP SI MATHS QUIZ-49

Attempt now to get your rank among 108 students!

Question 1:

In what ratio must a grocer mix two varieties of pulses costing Rs 15 and Rs 20 per kg respectively so as to get a mixture worth  $16.50Rs/ \mathrm{~kg}$ ?

Question 2:

Tap P can fill a cistern in 12 hours and tap Q can empty the full cistern in 15 hours. If both taps $\mathrm{P}$ and $\mathrm{Q}$ are kept open alternatively for one hour each starting from $\mathrm{P}$, then in how many hours will the empty cistern be completely full?

Question 3:

Simplify the expression:

$ \frac{324 \times 324 \times 324-276 \times 276 \times 276}{324 \times 324+276 \times 276+324 \times 270} $

Question 4:

The ratio of the numbers of boys and girls in a school was 5:3. Some new boys and girls were admitted to the school, in the ratio 5:7.At this, and the total number of students in the school become 3000, and the ratio of boys to girls changed to 7:5. The number of students in the school before new Admission was?

Question 5:

Ritu's expenditure and saving are in the ratio $5: 2 .$ Her income increases by $12 \%$. Her expenditure also increases by $14 \%$. By how many $\%$ does her saving increase?

Question 6:

Innova car left point $\mathrm{P}$ at $9 \mathrm{am}$ and reached point $\mathrm{Q}$ at $9 \mathrm{pm}$. Creta car left point $\mathrm{Q}$ at 11 am and reached point $\mathrm{P}$ at $7 \mathrm{pm}$. At what time both car had met each other?

Question 7:

A boat can cover a distance of $72 \mathrm{~km}$ downstream and $32 \mathrm{~km}$ upstream in 20 hours. It can also cover $15 \mathrm{~km}$ downstream and 6 km upstream in 4 hours. What is the speed of boat when going downstream (in $\mathrm{km} / \mathrm{h}$ )?

Question 8:

Vikrant and sourabh can do a piece of work together in a certain time .If this work is done by only vikrant it takes $1 \frac{32}{49}$ days more than the time taken by both.If it is taken by only sourabh it takes $1 \frac{27}{169}$ days more than the time taken by both.So, in how much time Vikrant and Sourabh together will complete the total work?

Question 9:

Simplify $\sqrt{\frac{2034^{3}-2032^{3}-2}{6}}$

Question 10:

If the edge of the cube is doubled, then find the percentage increase in volume of cube.