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Table - Daily production (in units) of 5 machines over 4 days.

What is the average daily production of Machine M3?

The budget of a factory is distributed among raw materials, wages, and maintenance in the ratio 4:3:3. During a year, the cost of raw materials rises by 12%, wages by 8%, and maintenance falls by 10%. What is the overall percentage change in the total budget?

Suppose $p = \sqrt{3} + \sqrt{7}$, $q = \sqrt{8} + \sqrt{2}$, and $r = 2\sqrt{3} + 2$. Which of the following is true?

Evaluate: $7 - \left[ \frac{3}{4} \div \left\{ \frac{1}{8} + \left( \frac{1}{2} \times \left( 1 - \frac{1}{4} \right) \right) \right\} \right]$

X and Y started a business by investing 60,000 and ₹90,000 respectively. After 6 months, X doubled his capital, while Y reduced his capital by 30,000. If the total annual profit is 62,000, what is Y's share (to the nearest integer)?

P, Q, and R invested 30,000, ₹40,000, and 50,000 respectively in a business. If the profit at the end of the year is 36,000, what is Q's share of the profit?

A vendor sold 18 pens for 1,440 and gained a profit of 20%. How many pens must he sell for 1,408 to make a profit of 12% (to the nearest integer)?

From a 54-litre container of pure milk, 9 litres are removed and replaced by water. This process is repeated three times in total. What is the final quantity of milk left in the container?

In a town, the present number of employed people is 40,000. If the number of employed men decreases by 4% and the number of employed women increases by 12%, the total employed population becomes 40,480. What is the present number of employed men?

A shopkeeper ordered 12 kg of premium coffee and some kg of regular coffee. The price of premium coffee per kg was three times that of regular coffee. Due to a billing mistake, the quantities of the two types were interchanged, which reduced the total bill by 30%. What was the ratio of the quantity of premium coffee to regular coffee in the original order?

P and Q together can complete a job in 16 days. Q and R together can complete it in 24 days, and R and P together can do it in 32 days. In how many days can P alone complete the job?

A trader sells one variety of sugar at 36 per kg, incurring a 10% loss, and another variety at 48 per kg, incurring a 20% loss. If he mixes the two varieties in equal quantities and sells the mixture at 42 per kg, what is his overall profit or loss percentage?

What is the area of a sector of a circle with radius 9 cm and central angle 80°?

Which of the following lines is parallel to $4x - 3y = 7$?

If $\cos(90^\circ - \theta) = \sin(2\theta)$, what is $\theta$?

Given that angles A and B are complementary and $\cos A = 5/13$, what is $\tan B$?

In a cyclic quadrilateral PQRS, if angle P is 110°, what is the measure of angle R?

A milkman mixes water with pure milk. If he sells the mixture at the cost price of pure milk and makes a profit of 25%, what is the ratio of water to milk in the mixture?

Two cyclists start from the same point on a circular track of length 900 m at 7:00 a.m. and ride in opposite directions. Their speeds are 6 km/h and 9 km/h respectively. At what time will they meet for the fourth time?

In triangles DEF and PQR, if $DE = PQ$, $EF = QR$, and $FD = RP$, which congruence criterion shows that triangle DEF is congruent to triangle PQR?

A bus covers 30% of a journey at a speed of 24 km/h and the remaining distance at a speed of 36 km/h. What is the average speed of the bus for the entire journey?

The area of a sector of a circle of radius 6 cm with central angle 120° is:

If $t = \sqrt{6} + 3$, find $t^2 - 6\sqrt{6}$.

What is the radian measure of 135°?

If $\sin^2\theta - \cos^2\theta = -1/3$, find the value of $\cos^2\theta$.