Verification of Truth/ Lie of Statements - 2 | CSAT Preparation - UPSC PDF Download

The logic folllows here is:

I. Red is green, green is blue.

The codes in tabular form:

→ The colour of the sky is blue but here Green is Blue and no information for Blue is given. Thus, the statement is not sufficient to answer.

II. Blue is pink, pink is red.  

→ The colour of the sky is blue but here Blue is Pink. So, the colour of the sky is Pink. Thus, the statement is sufficient to answer.

Hence, the correct answer is "II alone is sufficient while I alone is not sufficient".

As per the given information:

Statement I: Vinod’s flat is located on an odd-numbered floor in a four-floored apartment, but he is not on the first floor.

Here, it is clear that Vinod is lived on 3rd floor 

Statement II: Guru’s flat is on the second floor.

Here, it is not clear which Vinod lived on which floor.

Given

The container gets completely filled with bacteria = 30 minutes

Concept

Every 1 minute = Number of bacteria in a container doubles

Solution

No. of bacteria intially in the cup = 1

After 1 min no. of cells will be 2 × 1 = 2¹

After 2 min = 2 × 2 = 2²

After 3 min = 2 × 2 × 2 = 2³

So, after 30 min no. of cells will be 2³⁰

Quantity of whole cup = 230 cells

Quantity of 1/4th a cup = 230/2² = 2²⁸

Thus, time taken to fill half of the cup = 28 min

Hence, it will be 1/4th in 28 minutes.

The logic followed here is:

In Statement I, it is given that X secured a rank higher than Q and Y but X is not the topper. However, it doesn't specify who secured the first rank.

In Statement II, it is given that P did not secure the first rank. However, it doesn't specify who secured the first rank.

Combining both statements, we know that X is not the topper and P is not the topper. it is given that X secured a rank higher than Q and Y.

By combining both statements we get Z as secured first rank.

Therefore, Both Statement I and Statement II together are necessary to answer the question.

The logic follows here is:

 

Number of hours between 5 A.M. to 10 P.M. of the Fourth day = 24 + 24 + 24 + 17 = 89 hours

The clock loses 16 minutes in 24 hours.

Thus, the clock shows 23 hours 44 minutes = Actual correct clock time is 24 hours.

→ 23 + 44/60 = 24 hours

→ 23 + 11/15 = 24 hours

→ {(23 × 15) + 11}/15 = 24 hours

→ 356/15 = 24 hours

Now, for 1 hour = (24 × 15) / 356

→ 360 / 356

And, for 89 hours = 89 × 360 / 356

→ 90 hours

Therefore, the true time of the clock is (90 - 89 = 1 hour) more than the current showing time = 10 P.M. on the fourth day + 1 hour = 11 P.M. on the fourth day.

Hence, the correct answer is "11 P.M.".

The logic follows here is,

7461 is coded as 135:

​→ 74 + 61 = 135

Similarly,

6893 will be coded as:

​​→ 68 + 93 = 161 

Hence, the correct answer is "161".

According to the given information:

The codes in tabular form:

Thus, the code for 'leaves' is '7'.

Hence, the correct answer is "7".

Given:

Total time is taken = 1 hour 24 min = 7/5 hour

Speed for two-third distance = 4 km/h

Speed for remaining distance = 5 km/h

Formula used:

Distance  = Speed x Time

Calculation:

Let the total distance be x km

Distance = Speed x Time

⇒ Time = Distance/Speed

⇒ x / 6 + x / 15 = 7 / 5

⇒ x = 6

The total distance is 6 km. 

The logic follows here is:

EARTH be written as QPMZS

Similarly,

HEART will be written as:

Hence, the correct answer is "SQPMZ".

Given:

A person reaches his destination 40 minutes late if his speed is 3 km/hr and reaches 30 minutes before time if his speed is 4 km/hr.

Calculation:

Let the distance to the destination be d km.

When the person travels at 3 km/hr, the time taken to cover the distance d is given by:

d/3 + 40/60 = d/3 + 2/3 hours

When the person travels at 4 km/hr, the time taken to cover the distance d is given by:

d/4 - 30/60 = d/4 - 1/2 hours

we can equate the two expressions for time:

d/3 + 2/3 = d/4 - 1/2

Multiplying both sides by 12 to get rid of the fractions, we get:

4d + 8 = 3d - 6

d = 14 km

Therefore, the distance of the destination from the starting point is 14 km.

The nib is an integral part of a pen; a pen cannot write without a nib.

A hospital is set up to treats people, and a doctor is the authorized person to treat people.

A camera cannot work without the lens.

A tree cannot grow or exist without roots.

A river cannot exist without banks.