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451.

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

A.
399
B.
439
C.
357
D.
417

Option A is the correct answer.

Video Explanation

Explanatory Answer

452.

How many of the integers 1, 2, … , 120, are divisible by none of 2, 5 and 7?

A.
41
B.
42
C.
40
D.
43

Option A is the correct answer.

Video Explanation

Explanatory Answer

453.

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

Answer : 18

Video Explanation

Explanatory Answer

454.

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

A.
12
B.
8
C.
6
D.
10

Option D is the correct answer.

Video Explanation

Explanatory Answer

455.

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?

Answer : 40

Video Explanation

Explanatory Answer

456.

A.
B.
C.
D.

Option D is the correct answer.

Video Explanation

Explanatory Answer

457.

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?

Answer : 6

Video Explanation

Explanatory Answer

458.

A.
-5050
B.
-5051
C.
-5150
D.
-5151

Option A is the correct answer.

Video Explanation

Explanatory Answer

459.

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

A.
692
B.
688
C.
653
D.
675

Option B is the correct answer.

Video Explanation

Explanatory Answer

2:3:5 and 1/6 mixture are sold
let’s assume total purchase as 60 kg
12:18:30
C.P= 9600+9000+9000= 27600
Now to get S.P. = 27600*1.5= 41400
We sold 10kg at Rs 700
41400-7000/50 = Rs 688/kg

460.

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

A.
140
B.
120
C.
144
D.
264

Option C is the correct answer.

Video Explanation

Explanatory Answer

461.

A.
2
B.
-2
C.
200
D.
-200

Option B is the correct answer.

Video Explanation

Explanatory Answer

462.

A.
2
B.
3
C.
4
D.
1

Option A is the correct answer.

Video Explanation

Explanatory Answer

463.

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

A.
15
B.
5
C.
10
D.
70

Option C is the correct answer.

Video Explanation

Explanatory Answer

Initial investment = Rs 10,000
Final amount = Rs 10,000*1.35 = Rs 13500
We can take an options approach to this question
Let’s assume loss percentage as 10%
The profit percentage in @nd year will be 50%
10000*0.9 = Rs 9000
9000*1.5 = Rs 13500

à 10% is the correct answer

464.

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

A.
20
B.
25
C.
40
D.
30

Option D is the correct answer.

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

465.

For all real numbers x the condition |3x - 20| + |3x - 40| = 20 necessarily holds if

A.
6 < x < 11
B.
7 < x < 12
C.
10 < x < 15
D.
9 < x < 14

Option B is the correct answer.

Video Explanation

Explanatory Answer

|3x-20| + |3x-40| = 20
If we put x=6
2+22 does not satisfy
If we put x=14
22+2 does not satisfy
à Option A, C, D can be eliminated
Hence, 7<x<12

466.

Answer : 7

Video Explanation

Explanatory Answer

467.

In a football tournament, a player has played a certain number of matches and 10 more matches are to be played. If he scores a total of one goal over the next 10 matches, his overall average will be 0.15 goals per match. On the other hand, if he scores a total of two goals over the next 10 matches, his overall average will be 0.2 goals per match. The number of matches he has played is

Answer : 10

Video Explanation

Explanatory Answer

Let no. of matches = M
Average goals = A
Total goals = MA
à (MA+1)/(M+10) = 0.15
à (MA+2)/(M+10) = 0.2
(MA+1) = 0.15(M+10) ………(i)

(MA+2) = 0.2(M+10) ………(ii)
Eq (ii)- (i)
1 = 0.05(M+10)
M = 10

468.

A.
B.
C.
D.

Option C is the correct answer.

Video Explanation

Explanatory Answer

469.

For a 4-digit number, the sum of its digits in the thousands, hundreds and tens places is 14, the sum of its digits in the hundreds, tens and units places is 15, and the tens place digit is 4 more than the units place digit. Then the highest possible 4-digit number satisfying the above conditions is

Answer : 4195

Video Explanation

Explanatory Answer

Let the number be abcd

a + b + c = 14 –(1)
b + c + d = 15 –(2)
c = d + 4 – (3)
Eq (2) – (1) =
d – a = 1
d = a+1 put in eq (3)
c = a + 1 + 4
c = a + 5 –(4)
Hence, ‘a’ can take max value of 4 when c = 9
Put value of c from (4) to (1)
b + 2a + 5 = 14
b = 1 (When a is max = 4)
From (3) ‘d’ can take maximum value of 5.
Hence answer is 4195

470.

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

Answer : 30

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

471.

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

A.
8
B.
10
C.
14
D.
12

Option C is the correct answer.

Video Explanation

Explanatory Answer

472.

If a rhombus has area 12 sq cm and side length 5 cm, then the length, in cm, of its longer diagonal is

A.
B.
C.
D.

Option C is the correct answer.

Video Explanation

Explanatory Answer

473.

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

A.
2400
B.
2200
C.
2000
D.
1800

Option C is the correct answer.

Video Explanation

Explanatory Answer

474.

A box has 450 balls, each either white or black, there being as many metallic white balls as metallic black balls. If 40% of the white balls and 50% of the black balls are metallic, then the number of non-metallic balls in the box is

Answer : 250

Video Explanation

Explanatory Answer

475.

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

A.
9000
B.
9100
C.
9200
D.
9150

Option B is the correct answer.

Video Explanation

Explanatory Answer

Let’s assume total work to be 420 units

Anil = 420/60 = 7 units/day

Bimal = 420/84 = 5 units /day

After 10 days, total work left = 420 -70 = 350

Now to do 350 units of work in 14 days, has to work 25 unit per day

C’s work= 25-7-5= 13 units a day

In term of work A B C
168 70 182

Profit of C = 182/420 * 21000 = 9100

476.

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

A.
2 : 3
B.
2 : 1
C.
5 : 3
D.
3 : 2

Option D is the correct answer.

Video Explanation

Explanatory Answer

477.

From a container filled with milk, 9 litres of milk are drawn and replaced with water. Next, from the same container, 9 litres are drawn and again replaced with water. If the volumes of milk and water in the container are now in the ratio of 16 : 9, then the capacity of the container, in litres, is

Answer : 45

Video Explanation

Explanatory Answer

Let the initial quantity (Capacity of Container) = x

Milk / Total = 16/25 = [(x -9)/x] 2=> 4/5 = (x - 9)/x=> x = 45

478.

A.
8
B.
6
C.
7
D.
4

Option A is the correct answer.

Video Explanation

Explanatory Answer

479.

Answer : 5

Video Explanation

Explanatory Answer

480.

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

Answer : 1000

Video Explanation

Explanatory Answer

481.

The COMPLETE list of customers who gave the maximum total rating points to Ravi is

A.
Bihari
B.
Bihari and Chirag
C.
Atal
D.
Atal and Bihari

Option B is the correct answer.

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

482.

What rating did Atal give on Timeliness?

Answer : 6

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

483.

What BEST can be concluded about the tip amount given by Deepak?

A.
Either ₹30 or ₹50
B.
Either ₹0 or ₹30 or ₹50
C.
₹50
D.
₹30

Option A is the correct answer.

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

484.

In which parameter did Atal give the maximum rating points to Ravi?

A.
Behaviour
B.
Hygiene
C.
Packaging
D.
Timeliness

Option A is the correct answer.

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

485.

What rating did Deepak give on Packaging?

A.
5
B.
7
C.
8
D.
6

Option B is the correct answer.

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

486.

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.

451.

What was the minimum rating that Ravi received from any customer in any parameter?

Answer : 5

Video Explanation

Explanatory Answer

452.

The COMPLETE list of customers who gave the maximum total rating points to Ravi is

A.
Bihari
B.
Bihari and Chirag
C.
Atal
D.
Atal and Bihari

Option B is the correct answer.

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

453.

What rating did Atal give on Timeliness?

Answer : 6

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

454.

What BEST can be concluded about the tip amount given by Deepak?

A.
Either ₹30 or ₹50
B.
Either ₹0 or ₹30 or ₹50
C.
₹50
D.
₹30

Option A is the correct answer.

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

455.

In which parameter did Atal give the maximum rating points to Ravi?

A.
Behaviour
B.
Hygiene
C.
Packaging
D.
Timeliness

Option A is the correct answer.

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

456.

What rating did Deepak give on Packaging?

A.
5
B.
7
C.
8
D.
6

Option B is the correct answer.

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

487.

What was the minimum rating that Ravi received from any customer in any parameter?

Answer : 5

Video Explanation

Explanatory Answer

488.

Who won the championship?

A.
Brij
B.
Chitra
C.
Cannot be determined
D.
Aruna

Option D is the correct answer.

Video Explanation

Explanatory Answer

489.

Who among the following did NOT play against Chitra in the championship?

A.
Aruna
B.
Dipen
C.
Chetan
D.
Biju

Option D is the correct answer.

Video Explanation

Explanatory Answer

490.

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.

451.

Who among the following was DEFINITELY NOT ranked first in his/her group?

A.
Chitra
B.
Aruna
C.
Dipen
D.
Brij

Option C is the correct answer.

Video Explanation

Explanatory Answer

452.

Which of the following pairs must have played against each other in the championship?

A.
Azul, Biju
B.
Donna, Chetan
C.
Deb, Donna
D.
Chitra, Dipen

Option D is the correct answer.

Video Explanation

Explanatory Answer

453.

Who won the championship?

A.
Brij
B.
Chitra
C.
Cannot be determined
D.
Aruna

Option D is the correct answer.

Video Explanation

Explanatory Answer

454.

Who among the following did NOT play against Chitra in the championship?

A.
Aruna
B.
Dipen
C.
Chetan
D.
Biju

Option D is the correct answer.

Video Explanation

Explanatory Answer

491.

Who among the following was DEFINITELY NOT ranked first in his/her group?

A.
Chitra
B.
Aruna
C.
Dipen
D.
Brij

Option C is the correct answer.

Video Explanation

Explanatory Answer

492.

Which of the following pairs must have played against each other in the championship?

A.
Azul, Biju
B.
Donna, Chetan
C.
Deb, Donna
D.
Chitra, Dipen

Option D is the correct answer.

Video Explanation

Explanatory Answer

493.

What was the average processing time of all orders in the categories which had only one type of ship mode?

Answer : 11

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

494.

The sequence of categories -- Art, Binders, Paper and Phones -- in decreasing order of average processing time of their orders in this period is:

A.
Art, Binders, Paper, Phones
B.
Paper, Binders, Art, Phones
C.
Phones, Binders, Art, Paper
D.
Phones, Art, Binders, Paper

Option D is the correct answer.

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

495.

Approximately what percentage of orders had a processing time of one day during the period Sep 1 to Sep 22 (both dates inclusive)?

A.
16%
B.
20%
C.
25%
D.
22%

Option B is the correct answer.

Video Explanation

Explanatory Answer

Total orders across categories = 35

Orders which had processing time of one day = 7% = (7/35) * 100 = 20%

496.

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.

451.

How many days between Sep 1 and Sep 14 (both inclusive) had no booking from this client considering all the above categories?

Answer : 6

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.

452.

What was the average processing time of all orders in the categories which had only one type of ship mode?

Answer : 11

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

453.

The sequence of categories -- Art, Binders, Paper and Phones -- in decreasing order of average processing time of their orders in this period is:

A.
Art, Binders, Paper, Phones
B.
Paper, Binders, Art, Phones
C.
Phones, Binders, Art, Paper
D.
Phones, Art, Binders, Paper

Option D is the correct answer.

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

454.

Approximately what percentage of orders had a processing time of one day during the period Sep 1 to Sep 22 (both dates inclusive)?

A.
16%
B.
20%
C.
25%
D.
22%

Option B is the correct answer.

Video Explanation

Explanatory Answer

Total orders across categories = 35

Orders which had processing time of one day = 7% = (7/35) * 100 = 20%

497.

How many days between Sep 1 and Sep 14 (both inclusive) had no booking from this client considering all the above categories?

Answer : 6

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.

498.

A solid right circular cone of height 27 cm is cut into two pieces along a plane parallel to its base at a height of 18 cm from the base. If the difference in volume of the two pieces is 225 cc, the volume, in cc, of the original cone is

A.
232
B.
264
C.
256
D.
243

Option D is the correct answer.

Video Explanation

Explanatory Answer

Height of Cone = 27 cm
The Larger cone after passing a plane has a smaller cone with height 9 cm (27-18)
The heights are in the ratio 9 : 27 or 1 : 3
Volumes will be in ratio of (Height) 3
Volume of smaller cone : Volume of whole cone à 1 : 27
Volume of remaining cone = 27x – 1x = 26x
26x – x = 225cc
x = 9cc
Volume of original cone = 27*9 = 243 cc

499.

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

A.
59
B.
56
C.
49
D.
46

Option D is the correct answer.

Video Explanation

Explanatory Answer

We need the sum of a+b+c to be minimum hence the values of a,b ,c must be as close as
possible
ab = 432 = 18*24
bc = 96 = 24*4
a + b + c = 18 + 24 + 4 = 46

500.

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

A.
61
B.
50
C.
58
D.
67

Option D is the correct answer.

Video Explanation

Explanatory Answer

Original speed = S & Original time = T
New Speed = S/3, speed and time are inversely proportional hence New time = 3T
The difference between times = 3T-T = 30 mins
Original time taken = 15 mins
Assume Distance is 15 Kms and Speed = 1 km/hr

In 5 mins the train travelled 5 kms and 4 mins it stopped.
In 6 mins it has to cover 10 kms
The original speed will be increased by a factor of 1.66 or 67%

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