Live Updates
• CATKing has launched new chat bot.
• New video on Logs has been released.
495
Learners
asked the doubt
Previous Year Questions
In the final examination, Bishnu scored 52% and Asha scored 64%. The marks obtained by Bishnu is 23 less, and that by Asha is 34 more than the marks obtained by Ramesh. The marks obtained by Geeta, who scored 84%, is
Video Explanation
Explanatory Answer
How many of the integers 1, 2, … , 120, are divisible by none of 2, 5 and 7?
Video Explanation
Explanatory Answer
Dick is thrice as old as Tom and Harry is twice as old as Dick. If Dick's age is 1 year less than the average age of all three, then Harry's age, in years, is
Video Explanation
Explanatory Answer
The area, in sq. units, enclosed by the lines x = 2, y = |x - 2| + 4, the X-axis and the Y-axis is equal to
Video Explanation
Explanatory Answer
A contractor agreed to construct a 6 km road in 200 days. He employed 140 persons for the work. After 60 days, he realized that only 1.5 km road has been completed. How many additional people would he need to employ in order to finish the work exactly on time?
Video Explanation
Explanatory Answer
Video Explanation
Explanatory Answer
Let N, x and y be positive integers such that N = x + y, 2 < x < 10 and 14 < y < 23. If N > 25, then how many distinct values are possible for N?
Video Explanation
Explanatory Answer
Video Explanation
Explanatory Answer
A person buys tea of three different qualities at ₹ 800, ₹ 500, and ₹ 300 per kg, respectively, and the amounts bought are in the proportion 2 : 3 : 5. She mixes all the tea and sells one-sixth of the mixture at ₹ 700 per kg. The price, in INR per kg, at which she should sell the remaining tea, to make an overall profit of 50%, is
Video Explanation
Two pipes A and B are attached to an empty water tank. Pipe A fills the tank while pipe B drains it. If pipe A is opened at 2 pm and pipe B is opened at 3 pm, then the tank becomes full at 10 pm. Instead, if pipe A is opened at 2 pm and pipe B is opened at 4 pm, then the tank becomes full at 6 pm. If pipe B is not opened at all, then the time, in minutes, taken to fill the tank is
Video Explanation
Explanatory Answer
Video Explanation
Explanatory Answer
Video Explanation
Explanatory Answer
Raj invested ₹ 10000 in a fund. At the end of first year, he incurred a loss but his balance was more than ₹ 5000. This balance, when invested for another year, grew and the percentage of growth in the second year was five times the percentage of loss in the first year. If the gain of Raj from the initial investment over the two year period is 35%, then the percentage of loss in the first year is
Video Explanation
The sides AB and CD of a trapezium ABCD are parallel, with AB being the smaller side. P is the midpoint of CD and ABPD is a parallelogram. If the difference between the areas of the parallelogram ABPD and the triangle BPC is 10 sq cm, then the area, in sq cm, of the trapezium ABCD is
Video Explanation
Explanatory Answer
Let AB = DP = PC = x
Let the height of the parallelogram = h
Area of the parallelogram ABPD - Area of the triangle BPC = 10
xh – ½(xh) = 10
xh = 20
Area of the trapezium ABCD = xh + ½(xh) = 3/2(xh) = 30
For all real numbers x the condition |3x - 20| + |3x - 40| = 20 necessarily holds if
Video Explanation
Video Explanation
Explanatory Answer
Video Explanation
Explanatory Answer
Let D and E be points on sides AB and AC, respectively, of a triangle ABC, such that AD : BD = 2 : 1 and AE : CE = 2 : 3. If the area of the triangle ADE is 8 sq cm, then the area of the triangle ABC, in sq cm, is
Video Explanation
Explanatory Answer
Area of Triangle ADE= (AD/AB)*(AE/AC)*(Area of ABC)
8 = (2/3)*(2/5)*(Area of ABC)
Area of ABC = 30
Three positive integers x, y and z are in arithmetic progression. If y − x > 2 and xyz = 5(x + y + z), then z − x equals
Video Explanation
Explanatory Answer
If a rhombus has area 12 sq cm and side length 5 cm, then the length, in cm, of its longer diagonal is
Video Explanation
Explanatory Answer
Anil, Bobby and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil's share of investment is 70%. His share of profit decreases by ₹ 420 if the overall profit goes down from 18% to 15%. Chintu's share of profit increases by ₹ 80 if the overall profit goes up from 15% to 17%. The amount, in INR, invested by Bobby is
Video Explanation
Explanatory Answer
Anil can paint a house in 60 days while Bimal can paint it in 84 days. Anil starts painting and after 10 days, Bimal and Charu join him. Together, they complete the painting in 14 more days. If they are paid a total of ₹ 21000 for the job, then the share of Charu, in INR, proportionate to the work done by him, is
Video Explanation
Two trains A and B were moving in opposite directions, their speeds being in the ratio 5 : 3. The front end of A crossed the rear end of B 46 seconds after the front ends of the trains had crossed each other. It took another 69 seconds for the rear ends of the trains to cross each other. The ratio of length of train A to that of train B is
Video Explanation
Explanatory Answer
Video Explanation
Explanatory Answer
Video Explanation
Explanatory Answer
The number of ways of distributing 15 identical balloons, 6 identical pencils and 3 identical erasers among 3 children, such that each child gets at least four balloons and one pencil, is
Video Explanation
Explanatory Answer
The COMPLETE list of customers who gave the maximum total rating points to Ravi is
Video Explanation
Explanatory Answer
Now how can we uniquely get 29 and 26
For 29: 5+7+8+9 = 29
For 26:
5+6+7+8 = 26
4+5+8+9 = 26
4+6+7+9 = 26
As per statement 4 Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
So Bihari gives Ravi a 9 in packaging which means the highest points in Hygiene can be 8 only as Chirag gives the highest points in Hygiene and he gives the same score in packaging too.
Also per statement 6 Atal’s rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak, this means that Bihari will be second in Hygiene and thus gives 7 points
What rating did Atal give on Timeliness?
Video Explanation
Explanatory Answer
Now how can we uniquely get 29 and 26
For 29: 5+7+8+9 = 29
For 26:
5+6+7+8 = 26
4+5+8+9 = 26
4+6+7+9 = 26
As per statement 4 Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
So Bihari gives Ravi a 9 in packaging which means the highest points in Hygiene can be 8 only as Chirag gives the highest points in Hygiene and he gives the same score in packaging too.
Also per statement 6 Atal’s rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak, this means that Bihari will be second in Hygiene and thus gives 7 points
What BEST can be concluded about the tip amount given by Deepak?
Video Explanation
Explanatory Answer
Now how can we uniquely get 29 and 26
For 29: 5+7+8+9 = 29
For 26:
5+6+7+8 = 26
4+5+8+9 = 26
4+6+7+9 = 26
As per statement 4 Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
So Bihari gives Ravi a 9 in packaging which means the highest points in Hygiene can be 8 only as Chirag gives the highest points in Hygiene and he gives the same score in packaging too.
Also per statement 6 Atal’s rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak, this means that Bihari will be second in Hygiene and thus gives 7 points
In which parameter did Atal give the maximum rating points to Ravi?
Video Explanation
Explanatory Answer
Now how can we uniquely get 29 and 26
For 29: 5+7+8+9 = 29
For 26:
5+6+7+8 = 26
4+5+8+9 = 26
4+6+7+9 = 26
As per statement 4 Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
So Bihari gives Ravi a 9 in packaging which means the highest points in Hygiene can be 8 only as Chirag gives the highest points in Hygiene and he gives the same score in packaging too.
Also per statement 6 Atal’s rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak, this means that Bihari will be second in Hygiene and thus gives 7 points
What rating did Deepak give on Packaging?
Video Explanation
Explanatory Answer
Now how can we uniquely get 29 and 26
For 29: 5+7+8+9 = 29
For 26:
5+6+7+8 = 26
4+5+8+9 = 26
4+6+7+9 = 26
As per statement 4 Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
So Bihari gives Ravi a 9 in packaging which means the highest points in Hygiene can be 8 only as Chirag gives the highest points in Hygiene and he gives the same score in packaging too.
Also per statement 6 Atal’s rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak, this means that Bihari will be second in Hygiene and thus gives 7 points
Ravi works in an online food-delivery company. After each delivery, customers rate Ravi on each of four parameters – Behaviour, Packaging, Hygiene, and Timeliness, on a scale from 1 to 9. If the total of the four rating points is 25 or more, then Ravi gets a bonus of ₹20 for that delivery. Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it is either ₹30 or ₹50.
One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, and received a total of ₹120 in bonus and tips. He did not get both a bonus and a tip from the same customer.
The following additional facts are also known.
1. In Timeliness, Ravi received a total of 21 points, and three of the customers gave him the same rating points in this parameter. Atal gave higher rating points than Bihari and Chirag in this parameter.
2. Ravi received distinct rating points in Packaging from the four customers adding up to 29 points. Similarly, Ravi received distinct rating points in Hygiene from the four customers adding up to 26 points.
3. Chirag gave the same rating points for Packaging and Hygiene.
4. Among the four customers, Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
5. Everyone rated Ravi between 5 and 7 in Behaviour. Unique maximum and minimum ratings in this parameter were given by Atal and Deepak respectively.
6. If the customers are ranked based on ratings given by them in individual parameters, then Atal's rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak.
What was the minimum rating that Ravi received from any customer in any parameter?
Video Explanation
The COMPLETE list of customers who gave the maximum total rating points to Ravi is
Video Explanation
Explanatory Answer
Now how can we uniquely get 29 and 26
For 29: 5+7+8+9 = 29
For 26:
5+6+7+8 = 26
4+5+8+9 = 26
4+6+7+9 = 26
As per statement 4 Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
So Bihari gives Ravi a 9 in packaging which means the highest points in Hygiene can be 8 only as Chirag gives the highest points in Hygiene and he gives the same score in packaging too.
Also per statement 6 Atal’s rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak, this means that Bihari will be second in Hygiene and thus gives 7 points
What rating did Atal give on Timeliness?
Video Explanation
Explanatory Answer
Now how can we uniquely get 29 and 26
For 29: 5+7+8+9 = 29
For 26:
5+6+7+8 = 26
4+5+8+9 = 26
4+6+7+9 = 26
As per statement 4 Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
So Bihari gives Ravi a 9 in packaging which means the highest points in Hygiene can be 8 only as Chirag gives the highest points in Hygiene and he gives the same score in packaging too.
Also per statement 6 Atal’s rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak, this means that Bihari will be second in Hygiene and thus gives 7 points
What BEST can be concluded about the tip amount given by Deepak?
Video Explanation
Explanatory Answer
Now how can we uniquely get 29 and 26
For 29: 5+7+8+9 = 29
For 26:
5+6+7+8 = 26
4+5+8+9 = 26
4+6+7+9 = 26
As per statement 4 Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
So Bihari gives Ravi a 9 in packaging which means the highest points in Hygiene can be 8 only as Chirag gives the highest points in Hygiene and he gives the same score in packaging too.
Also per statement 6 Atal’s rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak, this means that Bihari will be second in Hygiene and thus gives 7 points
In which parameter did Atal give the maximum rating points to Ravi?
Video Explanation
Explanatory Answer
Now how can we uniquely get 29 and 26
For 29: 5+7+8+9 = 29
For 26:
5+6+7+8 = 26
4+5+8+9 = 26
4+6+7+9 = 26
As per statement 4 Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
So Bihari gives Ravi a 9 in packaging which means the highest points in Hygiene can be 8 only as Chirag gives the highest points in Hygiene and he gives the same score in packaging too.
Also per statement 6 Atal’s rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak, this means that Bihari will be second in Hygiene and thus gives 7 points
What rating did Deepak give on Packaging?
Video Explanation
Explanatory Answer
Now how can we uniquely get 29 and 26
For 29: 5+7+8+9 = 29
For 26:
5+6+7+8 = 26
4+5+8+9 = 26
4+6+7+9 = 26
As per statement 4 Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
So Bihari gives Ravi a 9 in packaging which means the highest points in Hygiene can be 8 only as Chirag gives the highest points in Hygiene and he gives the same score in packaging too.
Also per statement 6 Atal’s rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak, this means that Bihari will be second in Hygiene and thus gives 7 points
What was the minimum rating that Ravi received from any customer in any parameter?
Video Explanation
Who among the following did NOT play against Chitra in the championship?
Video Explanation
The game of Chango is a game where two people play against each other; one of them wins and the other loses, i.e., there are no drawn Chango games. 12 players participated in a Chango championship. They were divided into four groups: Group A consisted of Aruna, Azul, and Arif; Group B consisted of Brinda, Brij, and Biju; Group C consisted of Chitra, Chetan, and Chhavi; and Group D consisted of Dipen, Donna, and Deb.
Players within each group had a distinct rank going into the championship. The players have NOT been listed necessarily according to their ranks. In the group stage of the game, the second and third ranked players play against each other, and the winner of that game plays against the first ranked player of the group. The winner of this second game is considered as the winner of the group and enters a semi-final.
The winners from Groups A and B play against each other in one semi-final, while the winners from Groups C and D play against each other in the other semi-final. The winners of the two semi-finals play against each other in the final to decide the winner of the championship.
It is known that:
1. Chitra did not win the championship.
2. Aruna did not play against Arif. Brij did not play against Brinda.
3. Aruna, Biju, Chitra, and Dipen played three games each, Azul and Chetan played two games each, and the remaining players played one game each.
Who among the following was DEFINITELY NOT ranked first in his/her group?
Video Explanation
Which of the following pairs must have played against each other in the championship?
Video Explanation
Who among the following did NOT play against Chitra in the championship?
Video Explanation
Who among the following was DEFINITELY NOT ranked first in his/her group?
Video Explanation
Which of the following pairs must have played against each other in the championship?
Video Explanation
What was the average processing time of all orders in the categories which had only one type of ship mode?
Video Explanation
Explanatory Answer
Accessories and envelopes are the only 2 categories which have only 1 shipping method
Their respective processing times are 18 and 4 days.
Total processing time = 18+4 = 22
Average = 22/2 = 11 Days
The sequence of categories -- Art, Binders, Paper and Phones -- in decreasing order of average processing time of their orders in this period is:
Video Explanation
Explanatory Answer
Art
Total processing time = 20 days
No of orders = 5
Avg processing time = 20/5 = 4 days
Binders
Total processing time = 15 days
No of orders = 4
Avg processing time = 15/4 = 3.75 days
Paper
Total processing time = 10 days
No of orders = 3
Avg processing time = 10/3 = 3.33 days
Phone
Total processing time = 15 days
No of orders = 3
Avg processing time = 15/3 = 5 days
Thus in decreasing order we get
Phone, Art, Binders, Paper
Approximately what percentage of orders had a processing time of one day during the period Sep 1 to Sep 22 (both dates inclusive)?
Video Explanation
Explanatory Answer
Total orders across categories = 35
Orders which had processing time of one day = 7% = (7/35) * 100 = 20%
The different bars in the diagram above provide information about different orders in various categories (Art, Binders, ….) that were booked in the first two weeks of September of a store for one client. The colour and pattern of a bar denotes the ship mode (First Class / Second Class / Standard Class). The left end point of a bar indicates the booking day of the order, while the right end point indicates the dispatch day of the order. The difference between the dispatch day and the booking day (measured in terms of the number of days) is called the processing time of the order. For the same category, an order is considered for booking only after the previous order of the same category is dispatched. No two consecutive orders of the same category had identical ship mode during this period.
For example, there were only two orders in the furnishing category during this period. The first one was shipped in the Second Class. It was booked on Sep 1 and dispatched on Sep 5. The second order was shipped in the Standard class. It was booked on Sep 5 (although the order might have been placed before that) and dispatched on Sep 12. So the processing times were 4 and 7 days respectively for these orders.
How many days between Sep 1 and Sep 14 (both inclusive) had no booking from this client considering all the above categories?
Video Explanation
Explanatory Answer
We need to look for days which have no orderings starting on it.
We can see
September 8, 9, 10, 11, 12 & 14 have no bookings.
Hence, the answer to this question is 6.
What was the average processing time of all orders in the categories which had only one type of ship mode?
Video Explanation
Explanatory Answer
Accessories and envelopes are the only 2 categories which have only 1 shipping method
Their respective processing times are 18 and 4 days.
Total processing time = 18+4 = 22
Average = 22/2 = 11 Days
The sequence of categories -- Art, Binders, Paper and Phones -- in decreasing order of average processing time of their orders in this period is:
Video Explanation
Explanatory Answer
Art
Total processing time = 20 days
No of orders = 5
Avg processing time = 20/5 = 4 days
Binders
Total processing time = 15 days
No of orders = 4
Avg processing time = 15/4 = 3.75 days
Paper
Total processing time = 10 days
No of orders = 3
Avg processing time = 10/3 = 3.33 days
Phone
Total processing time = 15 days
No of orders = 3
Avg processing time = 15/3 = 5 days
Thus in decreasing order we get
Phone, Art, Binders, Paper
Approximately what percentage of orders had a processing time of one day during the period Sep 1 to Sep 22 (both dates inclusive)?
Video Explanation
Explanatory Answer
Total orders across categories = 35
Orders which had processing time of one day = 7% = (7/35) * 100 = 20%
How many days between Sep 1 and Sep 14 (both inclusive) had no booking from this client considering all the above categories?
Video Explanation
Explanatory Answer
We need to look for days which have no orderings starting on it.
We can see
September 8, 9, 10, 11, 12 & 14 have no bookings.
Hence, the answer to this question is 6.
If a, b and c are positive integers such that ab = 432, bc = 96 and c < 9, then the smallest possible value of a + b + c is
Video Explanation
A train travelled at one-thirds of its usual speed, and hence reached the destination 30 minutes after the scheduled time. On its return journey, the train initially travelled at its usual speed for 5 minutes but then stopped for 4 minutes for an emergency. The percentage by which the train must now increase its usual speed so as to reach the destination at the scheduled time, is nearest to
Video Explanation
