Daily Practice Questions Questions for CAT with Answers PDF

We can figure out the code by observing the common words and symbols.
From the statement I alone, we can see that the common words are 'food' and 'eat' and common codes are 'pro' and 'kol'.
Thus, code for 'eat' can be either 'pro' or 'kol'.
Thus, statement I alone is insufficient.
From the statement II, we see the common word is 'he'. So, 'eat' is not mentioned there.
Thus, statement II alone is not sufficient.
I and II together are insufficient because II has no mention of 'eat'.
Thus, neither I nor II is sufficient to answer the question.

From I alone, we can decode by matching the common codes and words between two statements.
Between question and statement I, common word is 'begin' and common code is 'tr'.
Thus, code for 'begin' is 'tr'.
Hence, statement I alone is sufficient.
Between question and statement II, common word is 'begin' and common code is 'tr'. Thus, code for 'begin' is 'tr'.
Hence, either statement alone is sufficient to answer the question.

From I: If Amit celebrated his 27^th birthday in 2007, then in 2018 on his birthday, he would turn 27 + 11 = 38 years old.
So, statement I alone is sufficient.
From II: Amit would celebrate his 70^th birthday in 2050. The difference of years between 2050 and 2018 = 2050 - 2018 = 32.
This means that in 2018, he would celebrate his (70 - 32 = 38^th birthday). 
So, statement II alone is sufficient.
Hence, either of the two statements alone is sufficient for finding the answer.

From I, we have: Dharmesh > Ajhar, Dharmesh > Champu
From II, we have: Ekam > Bablu > Dharmesh
Combining the above two, we get:
Ekam > Bablu > Dharmesh > Ajhar > Champu or Ekam > Bablu > Dharmesh > Champu > Ajhar.
Thus, Ekam is the tallest.

From III, Sita's basic salary is Rs. 15,000.
From I, Ram's basic salary is Rs. (15,000 + 500) = Rs. 15,500
From II, Sita's other allowances = Rs. 5000, and Ram's other allowances = Rs. 6000
Therefore, Ram's monthly salary = (15,500 + 6000) = Rs. 21,500

(I) says that X sits at the extreme left or the extreme right end of the row.
(II) alone tells us that Z is sitting to the left of X.
(III) alone tells us that Y is sitting in the middle of the row.
(I) and (II) together show that X is sitting at the extreme right end, which means X is to the right of Y, but it is not clear if its immediate to the right of Y or second to the right of Y.
From (II) and (III), we get that X is sitting at the extreme right end and Y sits in the middle of the row. Thus, X is to the immediate right of Y.
Hence, option (4) is correct.

From I and III, the arrangement will be as follows.
Team C
Team A
-
-
Team B
Team A's standing was second from the top.

I does not provide any information about direction.
II is not conclusive as we do not know the magnitude of the distance travelled.
Only III is sufficient to answer the question.

Let the possible two-digit number be xy.
I. x + y = 15 → Not sufficient
II. 10x + y - (10y + x) = 9
9x - 9y = 9
x - y = 1 → Not sufficient
Using both I and II together:
Now, taking x + y = 15 and x - y = 1
Solving both equations, x = 8 and y = 7
So, the number is 87.
So, the largest possible two-digit number is 87.

Let the numbers be 'x', 'y' and 'z'.
x + y + z = 29  3 = 87 → Not sufficient
II. Let the numbers be 5x, 7x and y.
y is the number when divided by 5, gives remainder 2, from which y cannot be calculated → Not sufficient
Both I and II together: 5x + 7x + y = 29  3 = 87, still no number can be found ^→ Not sufficient

Let their present ages be 'f' and 'd' years, respectively.
I. (f + 4) : (d + 4) = 2 : 1
^⇒ f - 2d = 4 → Not sufficient
II. f + d = 41  2
^⇒ f + d = 82 → Not sufficient
Both I and II together:
4 + 2d + d = 82
^⇒ d = 26 and f = 56 ^⇒ Sufficient

I. Let  Parul's present age = x years
 Priya's present age = x + 2 years
Rohit's present age = y years
Sum of present ages of all three = x + x + 2 + y = 53
2x + y = 51
But still, Priya's present age cannot be calculated → Not sufficient
II. Ratio of Rohit, Parul and Priya's present age = 15 : 18 : 20
15x + 18x + 20x = 53, x = 1
Priya's present age = 20 years → Data sufficient
So, (2) is the correct answer.

Let ages of two 2 grandparents, 2 parents and one child are g₁, g₂, p₁, p₂, c respectively.
Statement I: g₁ + g₂ = 185, p₁ + p₂ =138 → not Sufficient
Statement II: g₁ + g₂ + p₁ +  p₂ +   c = 343 → not Sufficient
Both I and II together:
Present age of the child = 68.6  5 - (92.5  2 + 69  2) = 20 years → Sufficient

I. Let length of train = 'x' m
Time taken to cross the bridge = 10.2 seconds
Distance covered by train to cross the bridge = (x + 75) = 10.2 × 25
x = 180
Length of train = 180 m → Data sufficient
II. Time taken to cross the bridge = 10.2 seconds
Length of train : Length of bridge = 12 : 5, length of train = 12y and length of bridge = 5y
Distance covered by train to cross the bridge = 17y = 10.2 × Speed of train
Length of train cannot be calculated because speed of train is unknown → Not sufficient

Let the height of the platform formed be 'h' m.
I. (44 × 22 - 1078) × 20 = 1078 × h
h = 2.8 m → Data sufficient
II. 22/7 x 7 x 7 x 20 = (44 × 22 - 11 × 14) × h
h = 2.8 m → Data sufficient

I. Volume of iron ball = 4/3 x 22/7 x 2.1 x 2.1 x 2.1 = 38.808 cc
So, density of iron ball = 38.808 × 10 = 388.08 gm → Data sufficient
II. Volume of iron ball re-casted from 3 similar iron ball of radius 2 cm = 3 x 4/3 x 22/7 x 1.45 x 1.45 x 1.45 = 38.3 cc
o, density = 38.3 × 10 = 383 gm → Data sufficient

From (I):
The ratio of the speed of A to that of B is 3 : 4.
We know, Time = Distance/Speed
Hence, ratio of time between A and B = 4 : 3
From II: If B takes time 36 minutes, then
Time taken by A = (4/3) × 36 = 48 minutes
Both the statements are necessary.

From I:
20 men's work for one day = 1/8
From I and II:
20 women's work for one day = (7/24 - 1/8) = 1/6
20 women can finish the work in 6 days.

From (I): Ratio of the age of Bhavesh to that of Tarun = 9z : 8z
From (II): (9z - 4)/(8z - 4) = 7/6
Solve statement (II).
(9z - 4) × 6 = (8z - 4) × 7
54z - 24 = 56z - 28
z = 2.
From (I): Present ages of Bhavesh and Tarun = 18 years and 16 years
After 6 years, ages of Bhavesh and Tarun = 24 years and 22 years
Hence, ratio of the age of Bhavesh to that of Tarun after 6 years = 24 : 22 = 12 : 11
Hence, both statements are required to solve the problem.

From (I), we can conclude that there are 40% men in the bus; but we can't find the exact number of passengers.
From (II): Number of men passengers = 24
By combining both the statements, we get
Total number of passengers = 24/40 x 100 = 60