SSC CGL Tier-1: Quant Test 2

How many approximate kgs of sugar costing ₹45 per kg must be mixed with 25 kg of sugar costing ₹32 per kg so that a 15% gain may be obtained by selling the mixture at ₹43.70 per kg?

In similar triangles, the ratio of corresponding altitudes is 2:5. What is the ratio of their areas?

Given, $a = sqrt(5)$, what is $(a + 1)^2 + (a - 1)^2$ ?

Given, A and B are complementary angles, and sinA = 3/5, what is tanB?

A train leaves Station A at 6:00 AM and travels towards Station B at a constant speed of 60 km/h. Another train leaves Station B at 8:00 AM and travels towards Station A at a constant speed of 90 km/h. The distance between the two stations is 540 km. At what time will the two trains meet?

A vertical cylindrical container is filled with oil. A solid hemispherical stone of radius 7 cm is immersed completely, and the oil level rises by 3 cm. What is the radius of the cylinder?

What is the value of $\frac{0.1 \times 0.1 \times 0.1 + 0.03 \times 0.03 \times 0.03}{0.3 \times 0.3 \times 0.3 + 0.09 \times 0.09 \times 0.09}$

Two individuals, A and B rent a pasture. A uses 16 cows for a duration of 3 months and 20 sheep for 4 months and B uses 30 sheep for 6 months. If 4 cows are equivalent to 8 sheep, determine A's portion of the rent.

The ratio of the efficiencies of two workers, P and Q, is 5 : 2. If P can complete a project in 12 days, how many days will Q take to complete the same project alone?

A shopkeeper marks his goods at 60% above the cost price. He allows a discount of 25% on the marked price. If he also gives an additional cash discount of ₹150, and still makes a profit of 14% on the cost price, what is the cost price of the goods?