It's a Question of your Career!

Question : Directions: Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusion/s logically follow/s from the given statements.
Statements:
Some chips are potatoes.
All potatoes are fries.
All fries are snacks.
Conclusions:
(I) All potatoes are snacks.
(II) Some snacks are chips.

Option 1: Both conclusions (I) and (II) do not follow

Option 2: Only conclusion (I) follows

Option 3: Both conclusions (I) and (II) follow

Option 4: Only conclusion (II) follows

Question : ABC is an isosceles right-angle triangle. $\angle ABC = 90 ^{\circ}$ and AB = 12 cm. What is the ratio of the radius of the circle inscribed in it to the radius of the circle circumscribing $\triangle ABC$?

Option 1: $6–\sqrt{2}: 3 \sqrt{2}$

Option 2: $2–\sqrt{2}: \sqrt{2}$

Option 3: $6–3 \sqrt{2}: 1 \sqrt{2}$

Option 4: $6–3 \sqrt{2}: 6 \sqrt{2}$

Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(2, 2, 4); (1, 6, 6); (7, 2, ?)

Option 1: 14

Option 2: 2

Option 3: 7

Option 4: 12

Question : What is the value of $\frac{7}{2}+\frac{11}{3}+\frac{7}{6}+\frac{11}{15}+\frac{7}{12}+\frac{11}{35}+\ldots \ldots+\frac{7}{156}+\frac{11}{575}$?

Option 1: $\frac{3917}{355}$

Option 2: $\frac{3816}{325}$

Option 3: $\frac{3714}{345}$

Option 4: $\frac{3216}{315}$

Question : Directions: Select the correct combination of mathematical signs to replace × signs and to balance the following equation.
5 × 9 × 3 × 6 × 8

Option 1: ×, +, =, ×

Option 2: ×, –, =, ×

Option 3: +, ÷, –, =

Option 4: +, ×, ÷, =

Question : Directions: Select the option related to the third term in the same way as the second term is related to the first term.
MONDAY : RJSIVD :: TROUBLE : ?

Option 1: XWJPFQJ

Option 2: YVJPFQZ

Option 3: YWJPGQZ

Option 4: CWJQGQZ

Question : If $x+\left [\frac{1}{(x+7)}\right]=0$, what is the value of $x-\left [\frac{1}{(x+7)}\right]$?

Option 1: $3\sqrt{5}$

Option 2: $3\sqrt{5}-7$

Option 3: $3\sqrt{5}+7$

Option 4: $8$

Question : Directions: The position of how many letters will remain unchanged if each letter in the word KINGDOM is arranged alphabetically.

Option 1: Three

Option 2: None

Option 3: One

Option 4: Two

Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".

The boy who studies hard (1) / he will pass (2) / with flying colours. (3) / No error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Question : Parts of the following sentence have been given as options. Select the option that contains an error.

You need to acknowledge the itinary and accommodation details of your journey as per the given calendar.

Option 1: calendar

Option 2: accommodation

Option 3: acknowledge

Option 4: itinary