Question
Statements: Some plates are spoons. All
spoons are cups. No cup is a fork. Conclusions: I. Some plates are cups. II. Some plates are not forks. III. Some spoons are not forks. In each question below are given three statements followed by three conclusions numbered I, II and III. You have to take the two given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the three given statements, disregarding commonly known facts.Solution
Some plates are spoons (I) + All spoons are cups (A) ⇒ Some plates are cups (I) + No cup is a fork(E) ⇒ Some plates are not forks(O) . Hence, conclusion I and II follow. All spoons are cups(A) + No cup is a fork(E) ⇒ No spoon is a fork ⇒ Conversion ⇒ Some spoons are not forks(O). Hence, conclusion III follows.
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the...
A shopkeeper sells an item at a 10% loss. Had he sold it for 40 more, he would have gained 10%. Find the cost price of the item
46% of 375 – ?% of 450 = 6
One-fifth of a number is equal to two-fifths of 25% of another number. Determine the ratio of the two numbers.
Solve the equation:sin(x) + cos(x) = 2·sin(x + α). Then the value of α is:
Compute P(A∩B), if P(B) = 0.8 and P(AǀB) = 0.35
The ratio of ages of A and B is 4:3. If A is 5 years older than B, find the age of B.
A trader marks up the price of an article by 50% above the cost price. He then offers a discount of 20% on the marked price. What is his profit percenta...
Quantity I: The time taken by a bike to cross a tunnel and a bridge is 36 seconds and 30 seconds, respectively. If the length of the tunnel exceeds the ...
If sin(3θ) = cos(2θ), find θ.