Common Admission Test (CAT) Questions and Answers with Explanation

Q:

Twelve children take sixteen days to complete a work which can be completed by 8 adults in 12 days. After working for 3 days, sixteen adults left and six adults and four children joined them. How many days will they take to complete the remaining work ?

A) 3 days	B) 2 days
C) 6 days	D) 12 days

Answer & Explanation Answer: C) 6 days

Explanation:

From the given data,

12 children 16 days work,
One child’s one day work = 1/192.

8 adults 12 days work,
One adult’s one day’s work = 1/96.

Work done in 3 days = ((1/96) x 16 x 3) = 1/2

Remaining work = 1 – 1/2 = 1/2

(6 adults+ 4 children)’s 1 day’s work = 6/96 + 4/192 = 1/12

1/12 work is done by them in 1 day.

1/2 work is done by them in 12 x (1/2) = 6 days.

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Q:

A train running at the speed of 40 km/hr crosses a signal pole in 9 seconds. Find the length of the train ?

A) 90 mts	B) 150 mts
C) 120 mts	D) 100 mts

Answer & Explanation Answer: D) 100 mts

Explanation:

We know that $S p e e d = \frac{d i s \tan c e}{t i m e}$

distance= speed * time

$\Rightarrow$ $d = (40 \times \frac{5}{18}) \times 9$

d= 100 mts.

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Q:

A merchant buys two items for Rs. 7500. One item he sells at a profit of 16% and the other item at 14% loss. In the deal, the merchant makes neither any profit nor any loss. What is the difference between the selling price of both the items?

A) Rs. 620	B) Rs. 654
C) Rs. 725	D) Rs. 747

Answer & Explanation Answer: A) Rs. 620

Explanation:

Let the C.P of one item is Rs. P
and that of other is Rs. (7500 - P)

According to the data given
C.P = S.P
=> Px(116/100) + (7500-P)x(86/100) = 7500
=> 30P = 105000
=> P = 3500

Required difference between selling prices
= Rs. [(3500/100) x 116] - [(4000/100) x 86]
= 4060-3440
= Rs. 620

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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.

Workspace

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Q:

What Is The Study Of Cells Called

A) Cellogysm	B) Cytology
C) Cell Biology	D) Both B & C

Answer & Explanation Answer: D) Both B & C

Explanation:

The branch of biology that studies the different structures and functions of the cell is called Cell Biology or Cytology.

Cell biology (formerly called Cytology), is a Greek word: kytos, "vessel" is a branch of biology that studies the different structures and functions of the cell and focuses mainly on the idea of the cell as the basic unit of life.

The cell (from Latin cella, meaning "small room") is the basic

Structural,

Functional (and)

Biological unit of all known living organisms.

A cell is the smallest unit of life that can replicate independently, and cells are often called the "building blocks of life".

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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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Q:

Which unit holds data temporarily?

A) Secondary storage unit	B) Output Unit
C) Primary Memory Unit	D) Input unit

Answer & Explanation Answer: C) Primary Memory Unit

Explanation:

Memory is the part of the computer that temporarily holds data and instructions before and after they are processed by the ALU.

Memory is also known as primary storage, primary memory, main storage, internal storage, and main memory.

Manufacturers often use the term RAM, which stands for random-access memory.

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Q:

Crack the Missing Letter Puzzle?

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A) I	B) K
C) L	D) W

Answer & Explanation Answer: C) L

Explanation:

13 x 2 = 26 => Z (opposite side)

12 x 2 = 24 => X (opposite side)

13 x 1 = 13 => M (opposite side)

12 x 1 = 12 => L (opposite side)

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