Common Admission Test (CAT) Questions and Answers with Explanation

Q:

Is B2+ Paramagnetic or Diamagnetic?

Answer

B2+ is a Paramagnetic.

The filled orbitals are $σ$ (1s) $^{2}$ , $σ^{*}$ (1s) $^{2}$ , $σ$ (2s) $^{2}$ , $σ^{*}$ (2s) $^{2}$ . The half-filled orbitals are $π$ (2p $_{x}$ ) and $π$ (2p $_{y}$ ). Since it posses 2 unpaired electrons, it is Paramagnetic in nature.

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Q:

Two girls ate dinner together.

After that they both ordered iced tea. One girl drank them very fast and had finished five in the time it took the other to drink just one.

The girl who drank one died while the other survived. However, all of the drinks that were served turned out to contain poison.

How did the girl who drank the most survive?

Answer

The poison was in the ice. When the girl drank the iced tea, the ice was still fully frozen. Gradually, as the ice cubes melted the poison was released into the drink.

Hence, the girl who died, drunk the tea after the ice melted. So, she was died.

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Q:

Find the ratio of the areas of the incircle and circumcircle of a square ?

A) 1 : 4	B) 4 : 1
C) 2 : 1	D) 1 : 2

Answer & Explanation Answer: D) 1 : 2

Explanation:

Let the side of the square be x. Then, its diagonal = $\sqrt{2} x$ .

Radius of incircle = x/2 and radius of circumcircle = $\frac{\sqrt{2} x}{2}$ . k11482389216.png image

Therefore, required ratio = $(\frac{{πx}^{2}}{4} : \frac{{πx}^{2}}{2})$ = $\frac{1}{4} : \frac{1}{2} = 1 : 2$

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Filed Under: Area
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Q:

One year ago the ratio between Maneela’s and Shanthi’s salary was 3 : 4. The ratios of their individual salaries between last year’s and this year’s salaries are 4 : 5 and 2 : 3 respectively. At present the total of their salary is Rs. 4160. The salary of Maneela, now is?

A) Rs. 1600	B) Rs. 1700
C) Rs. 1800	D) Rs. 1900

Answer & Explanation Answer: A) Rs. 1600

Explanation:

Let the salaries of Maneela and Shanthi one year before be M1, S1 & now be M2, S2 respectively.

Then, from the given data,

M1/S1 = 3/4 .....(1)

M1/M2 = 4/5 .....(2)

S1/S2 = 2/3 .....(3)

and M2 + S2 = 4160 .....(4)

Solving all these eqtns, we get M2 = Rs. 1600.

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Filed Under: Ratios and Proportions
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Q:

Financial management process deals with

A) Financing decisions	B) Investments
C) Both A & B	D) None of the above

Answer & Explanation Answer: A) Financing decisions

Explanation:

Financial management refers to the efficient and effective management of money (funds) in such a manner as to accomplish the objectives of the organization. It is the specialized function directly associated with the top management.

Hence, it deals with Financial decisions.

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Q:

5x - 6 = 3x - 8

Solve the above equation.

A) 2	B) -1
C) -2	D) 1

Answer & Explanation Answer: B) -1

Explanation:

Given 5x - 6 = 3x - 8

5x - 3x = -8 + 6

2x = -2

=> x = -1.

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Filed Under: Mathematical Operations
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Q:

I jump when I walk and sit when I stand. What am I?

Answer

A Kangaroo is what jumps when walking and sit when it is in standing.

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Q:

Which of the following birds is the state bird of three Indian states ?

A) Great Hornbill	B) Greater Flamingo
C) Hill Mynah	D) Blue Jay (Indian Roller)

Answer & Explanation Answer: D) Blue Jay (Indian Roller)

Explanation:

The 3 states are Andhra Pradesh, Karnataka and Odisha.

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Filed Under: Animals and Birds
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