Question : By what the least number should 4320 be multiplied to obtain a number which is a perfect cube?

Option 1: 40

Option 2: 50

Option 3: 60

Option 4: 80

Question : For what value of N, the number 34N will be a perfect cube, where 34N is a 3-digit number?

Option 1: 2

Option 2: 3

Option 3: 4

Option 4: 5

Question : Let $x$ be the least number divisible by 16, 24, 30, 36, and 45, also $x$ is also a perfect square. What is the remainder when $x$ is divided by 123?

Option 1: 100

Option 2: 40

Option 3: 103

Option 4: 33

Question : Find the value of $\sin (50^{\circ} + A) – \cos (40^{\circ} - A)$.

Option 1: 2

Option 2: 0

Option 3: –1

Option 4: 1

Question : What should be the least number of years in which the Simple Interest on Rs. 2600 at $6\frac{2}{3}$% will be an exact number of rupees?

Option 1: 3

Option 2: 2

Option 3: 5

Option 4: 4

Question : The number $334 \times 545 \times 7p$ is divisible by $3340$ if $p$ is at least:

Option 1: 2

Option 2: 4

Option 3: 3

Option 4: 1