Free DI and LR - 11 Practice Test - CAT

Question 1

Who wins the race?

A. Bala

B. Chandran

C. Dinu

D. Easwar

SOLUTION

Solution : D

Bala takes 53.5 seconds, Chandran takes 53.0 secs, Dinu takes 52.5 secs and Easwar takes 50 secs. Hence, Easwar wins the race.

Question 2

At the end of 200 meters, the person who is leading is:

A. Chandran

B. Dinu

C. Easwar

D. All three

SOLUTION

Solution : D

Go from the options, for the first 200m Chandran takes 23 secs; Dinu takes 23 secs and Eawar takes 23 secs.

Hence all the three will be in the same position at the end of 200m.

Question 3

At the end of 300 meters, the person who is leading is:

A. Dinu

B. Chandran

C. Easwar

D. Chandran & Easwar

SOLUTION

Solution : D

Go from the options, for the first 300m Dinu takes 37 secs, Chandran takes 36 secs and Easwar takes 36secs. Hence, both Chandran and Easwar will be leading the race at the end of 300m.

Question 4

If it is a $4 \times 100$ meters relay, and if each of the four runners run 100 meters each, the fastest combination is:

A. Ajith, Bala, Chandran and Dinu

B. Bala, Chandran, Dinu, Easwar

C. Ajith, Chandran, Dinu, Easwar

D. Ajith, Bala, Dinu, Easwar

SOLUTION

Solution : C

Go from answer options. In choice (3) - Ajith, Chandran, Dinu and Easwar will take 11 + 11 + 10.5 + 11 = 43.5seconds which will be lowest amongst the four combination given. Note, for each of the four this is their first100m.

Question 5

If it is a $2 \times 200$ meters relay, in which each of the two runners run 200 meters each, the best combination is:

A. Chandran, Easwar

B. Chandran, Dinu

C. Dinu, Easwar

D. All three

SOLUTION

Solution : D

Choice (1) - Chandran + Easwar = 23 + 23 = 46 seconds. Choice (2) - Chandran + Dinu = 23 + 23 = 46 seconds.

Choice (3) - Dinu + Easwar = 23 + 23 = 46 seconds. All three choices give the same answer. Hence, choice (4) is correct. Note again that for each of them this will be their first 200 m.

Question 6

$A_{1}$ = ?

A. 0.75

B. 1.55

C. 0.65

D. None of these

SOLUTION

Solution : C

$A_{1}$ = A’s $A_{1}$ is equal to B’s 1. But we know that B’s 1.55 is equal to A’s 1 unit (fromR1,C2) and from these B’s 1= $\frac{1}{1.55} \times 1$ = 0.65 .

Hence $A_{1}$ = 0.65.

Question 7

$A_{2}$ = ?

A. Can’t be determined

B. 0.73

C. 0.61

D. 0.75

SOLUTION

Solution : C

C’s $A_{2}$ = B’s 1 unit. From the table C.s 0.95 unit = A.s 1 unit = B.s 1.55 unit. when B.s unit is 1 C.s unit is $\frac{1}{1.55} \times 0.95$ = 0.61. $A_{2}$ = 0.61.

Question 8

$A_{12}$ = ?

A. 0.75

B. 0.98

C. 1.25

D. 0.88

SOLUTION

Solution : D

D’s 1 unit = E’s $A_{12}$ unit. From the table D’s 1.25 unit = E.s 1.1 unit from these D.s 1 unit = $\frac{1}{1.25} \times 1.1$ = 0.88 unit of E.

Question 9

Singh was the surname of the person wearing _____________

A. Gumboots

B. Office Shoes

C. Sneakers

D. can’t be determined

SOLUTION

Solution : C

$\begin{matrix} N a m e & S u r n a m e & F o o t w e a r & C o l o u r R a j e s h & K u m a r & G u m b o o t s & G r e y S a c h i n & S i n g h & S n e a k e r s & B l u e M o h a n & R e d d y & O f f i c e S h o e s & B r o w n \end{matrix}$

From the solution Ans is (c)

Question 10

Mohan’s surname was _______________

A. Kumar

B. Singh

C. Reddy

D. can’t be determined

SOLUTION

Solution : C

$\begin{matrix} N a m e & S u r n a m e & F o o t w e a r & C o l o u r R a j e s h & K u m a r & G u m b o o t s & G r e y S a c h i n & S i n g h & S n e a k e r s & B l u e M o h a n & R e d d y & O f f i c e S h o e s & B r o w n \end{matrix}$
From the solution Ans is (c)

Question 11

In how many of these years, the number of marks allotted to Geometry is less than the number of marks allotted to Analogies as well as Arithmetic?

A. 1

B. 2

C. 3

D. 4

SOLUTION

Solution : A

In only one year, i.e. 2000, the number of marks allotted to Geometry is less than the number of marks allotted to Analogies as well as Arithmetic.

Question 12

Which topic has been allotted the second lowest aggregate number of marks over the given period?

A. Arithmetic

B. Parajumbles

C. Analogies

D. Modern Maths

SOLUTION

Solution : C

The aggregate number of marks allotted to the topics over the given period is as follows

$\begin{matrix} S . N o . & M a r k s 1 & 60 2 & 38 3 & 104 4 & 50 5 & 140 6 & 140 7 & 47 8 & 50 9 & 55 10 & 106 11 & 28 12 & 48 13 & 50 14 & 49 \end{matrix}$

Therefore, the second lowest aggregate number of marks is allotted to the topic Analogies.

Question 13

In how many of these years, the aggregate number of marks allotted to all the topics is less than the aggregate number of marks allotted to all the topics in the year 1999 but more than aggregate number of marks allotted to all the topics in the year 2001?

A. 0

B. 1

C. 2

D. 3

SOLUTION

Solution : A

As the aggregate of all the marks allotted to all the subjects across various years as following

$\begin{matrix} Y e a r & 1998 & 1999 & 2000 & 2001 & 2002 & 2003 A g g r e g a t e m a r k s & 185 & 165 & 165 & 150 & 150 & 150 \end{matrix}$

As we can see that there is no number between aggregate of year 1999 (165) and aggregate if year 2001 (150). Hence answer is option (a).

Question 14

If Hindi is selected then which of the following can not be taken up?

A. Geography

B. History

C. Sociology

D. Psychology

SOLUTION

Solution : D

If Hindi is taken up; English will be the other language.

Since Hindi is taken up, philosophy cannot be taken

Thus, If Psychology is taken up; then you will not be able to form a group of 3 subjects as even Geography and History cannot be taken up. Thus, Psychology cannot be taken up of Hindi is taken up

Question 15

If Psychology is taken up then which of the following is true?

i) Hindi cannot be taken up

ii) French cannot be taken up

iii) Sociology must be taken up

A. i Only

B. ii & iii

C. i & iii

D. i & ii

SOLUTION

Solution : C

If Psychology is taken up; Geography and History cannot be taken up. So we are left with only one set of options ie Psychology, Philosophy and Sociology. Hence statement (iii) is correct.

Free DI and LR - 11 Practice Test - CAT

Question 1

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Question 2

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Question 3

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Question 4

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Question 5

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Question 6

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Question 7

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Question 8

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Question 9

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Question 10

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Question 11

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Question 12

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Question 13

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Question 14

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Question 15

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