WeCP Numerical Ability Questions

WeCP Numerical Ability Syllabus 2024

WeCP Aptitude Questions and Answers 2024:

The WeCP Aptitude Test Questions vary company wise but a marginal data for the test is:

  • Total no. of questions - 15
  • Total time - 15 minutes approx.

Let's see the topics below:

Added details about the WeCP Numerical Ability Questions:

Numerical Ability Test WeCP
Negative Marking No
Companies hiring through WeCP Hexaware, MindTree, Infosys, Bosch
Vital topics for aptitude profit & loss, probability, ages, time & work
Difficulty Moderate

Miscellaneous Pages for further information:

Preparation Section

WeCP Numerical Ability Practice Questions

Below all the important topics are mentioned that you need to prepare for clearing the WeCP Hiring Test. Make sure you prepare well, to get a good score in the placement test

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1. Ashish gave a puzzle question carryminati. Carryminati divides the numbers 7652, 8504 and 9995 by a certain largest number and he gets the same remainder in each case. What is the common remainder?

211

211

33.33%

213

213

29.63%

197

197

33.33%

199

199

3.7%

If the remainder is same in each case and remainder is not given, HCF of the differences of the numbers is the required largest number.

9995 - 7652 = 2343

9995 - 8504 = 1491

8504 - 7652 = 852

 

Hence, the greatest number which divides 7654, 8506 and 9997 and leaves same remainder

= HCF of 2343, 1491, 852

= 213

 

Now we need to find out the common remainder.

 

Take any of the given numbers from 7652, 8504 and 9995, say 7652

 

7652 ÷ 213 = 35, remainder = 197

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

2. Karan Johar appeared for the GRE exam and got 35% of the maximum marks in the examination and failed by 10 marks. However, Sujit who took the same examination got 45% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination ?

240

240

15%

245

245

15%

250

250

55%

255

255

15%

Let maximum marks of the examination = x

Marks that Karan got = 35% of x = 35 x 100

 

Given that Karan failed by 10 marks.

pass mark = \frac{35x}{100} + 10     …..(1)

 

Marks that Sujit got = 15 marks more than the passing marks.

Passing marks = \frac{45x}{100} - 15   ……(2)

 

From (1) and (2), 

\frac{35x}{100} + 10  =  \frac{45x}{100} - 15

\frac{10x}{100} = 25

Hence, x = 10 x 25 = 250

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

3. Present age of Amitabh Bacchhan is 3 years more than three times the age of his son Abhishek Bacchhan. After a span of three years, Amitabh’s age will be 10 years more than twice the age of Abhishek. What could be the father i.e. Amitabh’s age in the present?

32 years

32 years

5%

33 years

33 years

55%

30 years

30 years

20%

31 years

31 years

20%

Let the present age of Abhishek= x

Then the present age of Amitabh= 3x+3

 

Given that, three years hence, Amitabh’s age will be 10 years more than twice the age of the son

(3x + 3 + 3) = 2(x+3) + 10

x = 10

Amitabh’s present age

= 3x + 3 = 3 x 10 = 33

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

4. As per a daily routine, Air India takes 1 hour more than Indigo to travel a distance of 7200 km. Due to failure of the main engine, Indigo operates on a secondary engine and speed of flight declines by a factor of 1/6, so it takes 36 minutes more than Air India to complete the same journey. What is the speed of Air India (in m/s) ?

214.92 m/s

214.92 m/s

18.75%

220.01 m/s

220.01 m/s

31.25%

222.22 m/s

222.22 m/s

25%

235.85 m/s

235.85 m/s

25%

Let’s take speed of Air India be x km/hr and speed of Indigo be y km/hr,

\Rightarrow  7200/x = 7200/y + 1        ----(1)

Now after engine trouble, speed of the Indigo will be 5y/6 and it takes 36 minutes more that Air India,

\Rightarrow \frac{7200}{x} = \frac{7200 x 6}{5y} - \frac{36}{60}     ----(2)

Equating both equations,

\Rightarrow \frac{7200}{y} + 1 = \frac{7200 x 6}{5y} - \frac{36}{60}

\Rightarrow 8640/y - 7200/y = 1.6

\Rightarrow 1440/y = 1.6

\Rightarrow y = 900 km/hr

From equation 1

\Rightarrow x = 800 km/hr

∴ Speed of Air India in m/s  is 800 x \frac{5}{18} m/s.

= 222.22 m/s.

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

5. KL Rahul gives a bag full of balls to Shahid. A bag contains some Pink balls, Yellow balls and Blue balls such that the probability of picking a Pink ball is 2/7 and the probability of picking a Yellow ball is ½.  If all the Balls are numbered starting from 1,2, 3, …. And so on, then what is the probability of getting one ball numbered as multiple of 3 or 7 out of total balls.

3/7

3/7

54.55%

5/14

5/14

9.09%

1/12

1/12

18.18%

6/11

6/11

18.18%

21 is the only number which is multiple of both 3 and 7,

so while calculating probability separately for 3 and 7, this number 21 will be taken twice.

 

So to avoid confusion we take it once here and will exclude 21 while calculating probability separately.

 

Also, number 21 can only be taken once.

 Probability of getting number multiple of both 3 and 7 (number 21) =1/28

 

\Rightarrow Probability of getting numbers which are multiple of 3 ( 3,6,9,12,15,18,24,27) = 9 / 28

 

\Rightarrow  Probability of getting numbers which are multiple of 7 (7,14,28) =3/28

 

\Rightarrow Probability of getting a number either multiple of 3 or 7 = 3/28 + 9/28 + 1/ 28 = 12/28

Hence, Probability of getting a number either multiple of 3 or 7 = \frac{3}{7}

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

6. Ankur Maheshwari purchases a number of sketch pens from his childhood friend Sachin Gaur at a set price of 9 sketch pens for an amount of Rs. 16. Ankur then sells the sketch pens he bought at a set price of 11 for Rs. 22. If he used 10% of his profit amount to buy ice-cream, what could be the price of the ice cream that Ankur bought? ?

1.05

1.05

16.67%

1.125

1.125

25%

1.20

1.20

33.33%

1.225

1.225

25%

Cost price of 1 pencil = 16/9

 

Selling price of 1 pencil = 22/11

 

Gain percentage = \frac{2-\frac{16}{9}\times 100}{\frac{16}{9}}

= 25/2 % = 12.5%

 

Therefore, Cost price of ice-cream = 16/9 + 16/9 * 12.5%

= Rs. 1.125

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

7. Delhi govt decided to make parks in society. Sachin and Sahvag undertake the construction for Rs. 480. Sachin alone can do it in 75 days while Sahvag alone can do it in 40 days. With the help of Raina, they finish the work in 25 days. How much should Raina get for his work?

25

25

16.67%

20

20

66.67%

45

45

8.33%

30

30

8.33%

In 24 days, they both would have done 1/3 and 5/8 of the work.

Therefore, the remaining work is 1 – (\frac{1}{3} + \frac{5}{8}) = 1/24.

This means Raina has done 1/24th of the work

So he should be paid \frac{1}{3}th of the amount i.e. 480 × 1/24 = Rs. 20

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

8. Radhanath bought a cat last week. He was trying to measure the cat’s length but then he realized that the ruler he had was too small to measure. He could only measure the head and found out that it measured 12cm long (head); He then went ahead to measure the tail and discovered that it was the length of the head plus one third of the length of the body. If the body was the length of the head plus the tail, what is the total length of the cat?

54 cm

54 cm

15.38%

60 cm

60 cm

38.46%

72 cm

72 cm

38.46%

80 cm

80 cm

7.69%

Let us take H=Length of the head

                    T=Length of the tail

                    B=length of the body

Given that H=12 cms.

                        T=H+\frac{1}{3} B  => T=12+\frac{1}{3}B 

Let this be the first equation

                          B=H+T

  substituting the value of H and T here we will get

                          B=12+12+\frac{1}{3}B  

                           => B=24+\frac{1}{3}B  

Therefore, B=36  cm

Substituting this in T we get

                           T=12+\frac{1}{3}(36)

                           T=12+12   =24

So now that you got all the values add 

                  H=12 cm

                  B=36 cm

                  T= 24 cm

Hence, total length of cat  = H+B+T

    = 72 cm.

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

9. Mr. Kashyap has some alloys in his possession that constitute only zinc and copper. Among all the alloys he has a specific one that weighs 15-gm and contains zinc and copper in a measured ratio of 2:3 if calculated by weight. If Mr Kashyap decides to add another 10 gm of zinc to the alloy, then find what amount of copper will have to be extracted from the alloy such that the final alloy has zinc and copper in the ratio of 4:1 by weight?

4.5 gm

4.5 gm

18.18%

4.8 gm

4.8 gm

18.18%

5 gm

5 gm

54.55%

5.5 gm

5.5 gm

9.09%

Weight of zinc in the alloy= 6 gm

weight of copper in the alloy = 9 gms.

 

So, Weight of zinc in the alloy=6 + 10= 16.(4 parts value)

 

Therefore one part = 4 gm

 

So, 5 gm should be subtracted from 9 gm of copper to make 4 gm

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

10. Let N be the number of rectangles that can be formed out of a chess board. Then find the value of 2N-5 :

1291

1291

27.27%

2592

2592

27.27%

1296

1296

18.18%

2587

2587

27.27%

A chess board consists of 8 x 8 square and 

9 parallel lines x 9 parallel lines.

 

For a rectangle we need to select 2 parallel lines and the other two parallel lines that are perpendicular to the first set.

 

Hence, ^{9}C_{2} \times ^{9}C_{2} = 1296 rectangles

Therefore, 2 \times N - 5 = 2 x 1296 - 5 = 2587

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

11. Miss Kangana gives her student Alia a number 27916p5 which is completely divisible by 11 and instructs her to find the smallest whole number that can substitute p in the figure:

3

3

45.45%

2

2

18.18%

1

1

9.09%

5

5

27.27%

Given number is 97215p6

(6+5+2+9) + (p+1+7) = (14-p)

 

This (14-p) must be divisible by 11

 

Therefore, p = 3

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

12. Raju Srivastav has a ball which has a number X printed which equals 80% of the average of 5, 7, 14 and a number Y. If the average of X and Y is 26, the value of X+Y is?

39

39

10%

52

52

50%

13

13

30%

55

55

10%

Average of 5, 7, 14 and Y = \frac{( 5 + 7 + 14 + Y )}{4}

 

Therefore, X = 80% of \frac{( 5 + 7 + 14 + Y )}{4}

 \Rightarrow \frac{(80 )}{100}\times\frac{26+Y}{4}

\Rightarrow X = (26 + Y)/5

5X - Y = 26          ----- (i)

 

Also, (X + Y)/2 = 26             ----- (ii)

 

From (i)and (ii)

X = 13

Y = 39. 

 

Hence,

X+Y = 52

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

13. In a mathematics class, the teacher, Mr. Khan gives the students a mathematical problem to find how many prime numbers are present in a given equation. Look at the equation below and answer the question:

6^{7} \times 35^{3} \times 11^{10} ?

27

27

20%

29

29

40%

31

31

10%

30

30

30%

We have-

6^{7} \times 35^{3} \times 11^{10}

\Rightarrow {(2\times 3)}^{7} \times {(5\times 7)}^{3} \times 11^{10}

\Rightarrow {2}^{7} \times {3}^{7} \times {5}^{3} \times  {7}^{3} \times 11^{10}

 

Thus, there are (7 + 7 + 3 + 3 + 10) = 30 prime number

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

14. On Kohli’s birthday, he is given a clock by his wife Anushka. The golden clock starts its time journey at 12 noon. By 1200 seconds past 6 p.m, the shortest (hour) hand has turned through how many degrees?

185^{\circ}

185^{\circ}

20%

190^{\circ}

190^{\circ}

50%

195^{\circ}

195^{\circ}

20%

180^{\circ}

180^{\circ}

10%

The total angle traced by the hour hand is the angle traced in 6 hours and 20 minutes.

 

From the geometry of a clock, We know that the angle traced by the hour hand in one hour is 30º and in one minute is \frac{1}{2}^{\circ}.

 

Therefore, (30^{\circ} x 6) + (20 x \frac{1}{2}^{\circ}) = 190^{\circ} is the angle traced by the hour hand.

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

15. Virat is a cricketer and he wished to learn swimming. After 15 days, he can row to a place 48 km distant and comes back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:

4 km/h

4 km/h

20%

1 km/h

1 km/h

50%

3 km/h

3 km/h

10%

0.5 km/h

0.5 km/h

20%

Suppose virat moves 4 km downstream in x hours. Then,

Speed downstream = \frac{4}{x} km/h

Speed upstream = \frac{3}{x} km/h

 

\therefore \frac{48}{4/x} + \frac{48}{3/x} = 14

\therefore x = \frac{1}{2}

 

So, Speed downstream = 8 km/hr, Speed upstream = 6 km/hr.

 

Rate of the stream = \frac{1}{2} \times (8-6) km/h = 1 km/h

 

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

16. Deepika Padukone gives a mathematical equation to Sonam Kapoor where in an asymmetrical series, arithmetic mode and mean are assigned a certain value which is 26.1 and 20.6 respectively. Find what can be the value of the median:

33.8

33.8

30%

27.6

27.6

40%

21.9

21.9

10%

22.4

22.4

20%

Mode = 3 median - 2 mean

 

\therefore median = \frac{mode + 2 mean}{3}

\Rightarrow median = \frac{<span style="font-weight: 400">(26.1 + 2 \times 20.6)</span>}{3}

\Rightarrow median = \frac{<span style="font-weight: 400">67.3</span>}{3}

\therefore median = 22.43

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

17. Rahul Bose draws two circles in a chart paper with a red coloured pen. One circle that he draws is inscribed and another circle that he paints is circumscribed over a square. What is the ratio of area of outer to inner circle?

2 : 1

2 : 1

36.36%

2 : 3

2 : 3

18.18%

1 : 2

1 : 2

18.18%

4 : 1

4 : 1

9.09%

None of these

None of these

18.18%

Let the side of the square be of Length = a

For Inner Circle,

the diameter of the circle = length of the side of the square = a

Diameter (inner circle) = a

 

For Outer Circle,

the diameter of the circle = length of the Diagonal of the square = a\sqrt{2}

Dia (outer) = a\sqrt{2}

 

Area of a circle = \frac{\pi d^{2}}{4}

 

Ratio of Area of 2 Circles

Area Outer / Area Inner = \frac{d_{outer}^{2}}{d_{inner}^{2}}  =\frac{(a\sqrt{2})^{2}}{(a)^{2}} = \frac{2}{1}

Area Outer : Area Inner = 2 : 1

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

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1. Ashish gave a puzzle question carryminati. Carryminati divides the numbers 7652, 8504 and 9995 by a certain largest number and he gets the same remainder in each case. What is the common remainder?

211

211

33.33%

213

213

29.63%

197

197

33.33%

199

199

3.7%

If the remainder is same in each case and remainder is not given, HCF of the differences of the numbers is the required largest number.

9995 - 7652 = 2343

9995 - 8504 = 1491

8504 - 7652 = 852

 

Hence, the greatest number which divides 7654, 8506 and 9997 and leaves same remainder

= HCF of 2343, 1491, 852

= 213

 

Now we need to find out the common remainder.

 

Take any of the given numbers from 7652, 8504 and 9995, say 7652

 

7652 ÷ 213 = 35, remainder = 197

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

2. Karan Johar appeared for the GRE exam and got 35% of the maximum marks in the examination and failed by 10 marks. However, Sujit who took the same examination got 45% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination ?

240

240

15%

245

245

15%

250

250

55%

255

255

15%

Let maximum marks of the examination = x

Marks that Karan got = 35% of x = 35 x 100

 

Given that Karan failed by 10 marks.

pass mark = \frac{35x}{100} + 10     …..(1)

 

Marks that Sujit got = 15 marks more than the passing marks.

Passing marks = \frac{45x}{100} - 15   ……(2)

 

From (1) and (2), 

\frac{35x}{100} + 10  =  \frac{45x}{100} - 15

\frac{10x}{100} = 25

Hence, x = 10 x 25 = 250

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

3. Present age of Amitabh Bacchhan is 3 years more than three times the age of his son Abhishek Bacchhan. After a span of three years, Amitabh’s age will be 10 years more than twice the age of Abhishek. What could be the father i.e. Amitabh’s age in the present?

32 years

32 years

5%

33 years

33 years

55%

30 years

30 years

20%

31 years

31 years

20%

Let the present age of Abhishek= x

Then the present age of Amitabh= 3x+3

 

Given that, three years hence, Amitabh’s age will be 10 years more than twice the age of the son

(3x + 3 + 3) = 2(x+3) + 10

x = 10

Amitabh’s present age

= 3x + 3 = 3 x 10 = 33

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

4. As per a daily routine, Air India takes 1 hour more than Indigo to travel a distance of 7200 km. Due to failure of the main engine, Indigo operates on a secondary engine and speed of flight declines by a factor of 1/6, so it takes 36 minutes more than Air India to complete the same journey. What is the speed of Air India (in m/s) ?

214.92 m/s

214.92 m/s

18.75%

220.01 m/s

220.01 m/s

31.25%

222.22 m/s

222.22 m/s

25%

235.85 m/s

235.85 m/s

25%

Let’s take speed of Air India be x km/hr and speed of Indigo be y km/hr,

\Rightarrow  7200/x = 7200/y + 1        ----(1)

Now after engine trouble, speed of the Indigo will be 5y/6 and it takes 36 minutes more that Air India,

\Rightarrow \frac{7200}{x} = \frac{7200 x 6}{5y} - \frac{36}{60}     ----(2)

Equating both equations,

\Rightarrow \frac{7200}{y} + 1 = \frac{7200 x 6}{5y} - \frac{36}{60}

\Rightarrow 8640/y - 7200/y = 1.6

\Rightarrow 1440/y = 1.6

\Rightarrow y = 900 km/hr

From equation 1

\Rightarrow x = 800 km/hr

∴ Speed of Air India in m/s  is 800 x \frac{5}{18} m/s.

= 222.22 m/s.

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

5. KL Rahul gives a bag full of balls to Shahid. A bag contains some Pink balls, Yellow balls and Blue balls such that the probability of picking a Pink ball is 2/7 and the probability of picking a Yellow ball is ½.  If all the Balls are numbered starting from 1,2, 3, …. And so on, then what is the probability of getting one ball numbered as multiple of 3 or 7 out of total balls.

3/7

3/7

54.55%

5/14

5/14

9.09%

1/12

1/12

18.18%

6/11

6/11

18.18%

21 is the only number which is multiple of both 3 and 7,

so while calculating probability separately for 3 and 7, this number 21 will be taken twice.

 

So to avoid confusion we take it once here and will exclude 21 while calculating probability separately.

 

Also, number 21 can only be taken once.

 Probability of getting number multiple of both 3 and 7 (number 21) =1/28

 

\Rightarrow Probability of getting numbers which are multiple of 3 ( 3,6,9,12,15,18,24,27) = 9 / 28

 

\Rightarrow  Probability of getting numbers which are multiple of 7 (7,14,28) =3/28

 

\Rightarrow Probability of getting a number either multiple of 3 or 7 = 3/28 + 9/28 + 1/ 28 = 12/28

Hence, Probability of getting a number either multiple of 3 or 7 = \frac{3}{7}

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

6. Ankur Maheshwari purchases a number of sketch pens from his childhood friend Sachin Gaur at a set price of 9 sketch pens for an amount of Rs. 16. Ankur then sells the sketch pens he bought at a set price of 11 for Rs. 22. If he used 10% of his profit amount to buy ice-cream, what could be the price of the ice cream that Ankur bought? ?

1.05

1.05

16.67%

1.125

1.125

25%

1.20

1.20

33.33%

1.225

1.225

25%

Cost price of 1 pencil = 16/9

 

Selling price of 1 pencil = 22/11

 

Gain percentage = \frac{2-\frac{16}{9}\times 100}{\frac{16}{9}}

= 25/2 % = 12.5%

 

Therefore, Cost price of ice-cream = 16/9 + 16/9 * 12.5%

= Rs. 1.125

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

7. Delhi govt decided to make parks in society. Sachin and Sahvag undertake the construction for Rs. 480. Sachin alone can do it in 75 days while Sahvag alone can do it in 40 days. With the help of Raina, they finish the work in 25 days. How much should Raina get for his work?

25

25

16.67%

20

20

66.67%

45

45

8.33%

30

30

8.33%

In 24 days, they both would have done 1/3 and 5/8 of the work.

Therefore, the remaining work is 1 – (\frac{1}{3} + \frac{5}{8}) = 1/24.

This means Raina has done 1/24th of the work

So he should be paid \frac{1}{3}th of the amount i.e. 480 × 1/24 = Rs. 20

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

8. Radhanath bought a cat last week. He was trying to measure the cat’s length but then he realized that the ruler he had was too small to measure. He could only measure the head and found out that it measured 12cm long (head); He then went ahead to measure the tail and discovered that it was the length of the head plus one third of the length of the body. If the body was the length of the head plus the tail, what is the total length of the cat?

54 cm

54 cm

15.38%

60 cm

60 cm

38.46%

72 cm

72 cm

38.46%

80 cm

80 cm

7.69%

Let us take H=Length of the head

                    T=Length of the tail

                    B=length of the body

Given that H=12 cms.

                        T=H+\frac{1}{3} B  => T=12+\frac{1}{3}B 

Let this be the first equation

                          B=H+T

  substituting the value of H and T here we will get

                          B=12+12+\frac{1}{3}B  

                           => B=24+\frac{1}{3}B  

Therefore, B=36  cm

Substituting this in T we get

                           T=12+\frac{1}{3}(36)

                           T=12+12   =24

So now that you got all the values add 

                  H=12 cm

                  B=36 cm

                  T= 24 cm

Hence, total length of cat  = H+B+T

    = 72 cm.

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

9. Mr. Kashyap has some alloys in his possession that constitute only zinc and copper. Among all the alloys he has a specific one that weighs 15-gm and contains zinc and copper in a measured ratio of 2:3 if calculated by weight. If Mr Kashyap decides to add another 10 gm of zinc to the alloy, then find what amount of copper will have to be extracted from the alloy such that the final alloy has zinc and copper in the ratio of 4:1 by weight?

4.5 gm

4.5 gm

18.18%

4.8 gm

4.8 gm

18.18%

5 gm

5 gm

54.55%

5.5 gm

5.5 gm

9.09%

Weight of zinc in the alloy= 6 gm

weight of copper in the alloy = 9 gms.

 

So, Weight of zinc in the alloy=6 + 10= 16.(4 parts value)

 

Therefore one part = 4 gm

 

So, 5 gm should be subtracted from 9 gm of copper to make 4 gm

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

10. Let N be the number of rectangles that can be formed out of a chess board. Then find the value of 2N-5 :

1291

1291

27.27%

2592

2592

27.27%

1296

1296

18.18%

2587

2587

27.27%

A chess board consists of 8 x 8 square and 

9 parallel lines x 9 parallel lines.

 

For a rectangle we need to select 2 parallel lines and the other two parallel lines that are perpendicular to the first set.

 

Hence, ^{9}C_{2} \times ^{9}C_{2} = 1296 rectangles

Therefore, 2 \times N - 5 = 2 x 1296 - 5 = 2587

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

11. Miss Kangana gives her student Alia a number 27916p5 which is completely divisible by 11 and instructs her to find the smallest whole number that can substitute p in the figure:

3

3

45.45%

2

2

18.18%

1

1

9.09%

5

5

27.27%

Given number is 97215p6

(6+5+2+9) + (p+1+7) = (14-p)

 

This (14-p) must be divisible by 11

 

Therefore, p = 3

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

12. Raju Srivastav has a ball which has a number X printed which equals 80% of the average of 5, 7, 14 and a number Y. If the average of X and Y is 26, the value of X+Y is?

39

39

10%

52

52

50%

13

13

30%

55

55

10%

Average of 5, 7, 14 and Y = \frac{( 5 + 7 + 14 + Y )}{4}

 

Therefore, X = 80% of \frac{( 5 + 7 + 14 + Y )}{4}

 \Rightarrow \frac{(80 )}{100}\times\frac{26+Y}{4}

\Rightarrow X = (26 + Y)/5

5X - Y = 26          ----- (i)

 

Also, (X + Y)/2 = 26             ----- (ii)

 

From (i)and (ii)

X = 13

Y = 39. 

 

Hence,

X+Y = 52

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

13. In a mathematics class, the teacher, Mr. Khan gives the students a mathematical problem to find how many prime numbers are present in a given equation. Look at the equation below and answer the question:

6^{7} \times 35^{3} \times 11^{10} ?

27

27

20%

29

29

40%

31

31

10%

30

30

30%

We have-

6^{7} \times 35^{3} \times 11^{10}

\Rightarrow {(2\times 3)}^{7} \times {(5\times 7)}^{3} \times 11^{10}

\Rightarrow {2}^{7} \times {3}^{7} \times {5}^{3} \times  {7}^{3} \times 11^{10}

 

Thus, there are (7 + 7 + 3 + 3 + 10) = 30 prime number

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

14. On Kohli’s birthday, he is given a clock by his wife Anushka. The golden clock starts its time journey at 12 noon. By 1200 seconds past 6 p.m, the shortest (hour) hand has turned through how many degrees?

185^{\circ}

185^{\circ}

20%

190^{\circ}

190^{\circ}

50%

195^{\circ}

195^{\circ}

20%

180^{\circ}

180^{\circ}

10%

The total angle traced by the hour hand is the angle traced in 6 hours and 20 minutes.

 

From the geometry of a clock, We know that the angle traced by the hour hand in one hour is 30º and in one minute is \frac{1}{2}^{\circ}.

 

Therefore, (30^{\circ} x 6) + (20 x \frac{1}{2}^{\circ}) = 190^{\circ} is the angle traced by the hour hand.

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

15. Virat is a cricketer and he wished to learn swimming. After 15 days, he can row to a place 48 km distant and comes back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:

4 km/h

4 km/h

20%

1 km/h

1 km/h

50%

3 km/h

3 km/h

10%

0.5 km/h

0.5 km/h

20%

Suppose virat moves 4 km downstream in x hours. Then,

Speed downstream = \frac{4}{x} km/h

Speed upstream = \frac{3}{x} km/h

 

\therefore \frac{48}{4/x} + \frac{48}{3/x} = 14

\therefore x = \frac{1}{2}

 

So, Speed downstream = 8 km/hr, Speed upstream = 6 km/hr.

 

Rate of the stream = \frac{1}{2} \times (8-6) km/h = 1 km/h

 

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

16. Deepika Padukone gives a mathematical equation to Sonam Kapoor where in an asymmetrical series, arithmetic mode and mean are assigned a certain value which is 26.1 and 20.6 respectively. Find what can be the value of the median:

33.8

33.8

30%

27.6

27.6

40%

21.9

21.9

10%

22.4

22.4

20%

Mode = 3 median - 2 mean

 

\therefore median = \frac{mode + 2 mean}{3}

\Rightarrow median = \frac{<span style="font-weight: 400">(26.1 + 2 \times 20.6)</span>}{3}

\Rightarrow median = \frac{<span style="font-weight: 400">67.3</span>}{3}

\therefore median = 22.43

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

17. Rahul Bose draws two circles in a chart paper with a red coloured pen. One circle that he draws is inscribed and another circle that he paints is circumscribed over a square. What is the ratio of area of outer to inner circle?

2 : 1

2 : 1

36.36%

2 : 3

2 : 3

18.18%

1 : 2

1 : 2

18.18%

4 : 1

4 : 1

9.09%

None of these

None of these

18.18%

Let the side of the square be of Length = a

For Inner Circle,

the diameter of the circle = length of the side of the square = a

Diameter (inner circle) = a

 

For Outer Circle,

the diameter of the circle = length of the Diagonal of the square = a\sqrt{2}

Dia (outer) = a\sqrt{2}

 

Area of a circle = \frac{\pi d^{2}}{4}

 

Ratio of Area of 2 Circles

Area Outer / Area Inner = \frac{d_{outer}^{2}}{d_{inner}^{2}}  =\frac{(a\sqrt{2})^{2}}{(a)^{2}} = \frac{2}{1}

Area Outer : Area Inner = 2 : 1

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

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prepinsta-prime

Analytics 2024

Stats about WeCP Aptitude Test 2024

Number of Questions 100%
Difficulty 80%
Cut-Off 66.666666666667%

Topic Wise Analysis

Average
Questions 0-1
Difficulty 65%
Importance 60%
Time and Work
Questions 0-1
Difficulty 75%
Importance 70%
Ratio and Proportion
Questions 1-2
Difficulty 75%
Importance 80%
Mixture and Allegation
Questions 0-1
Difficulty 65%
Importance 70%
Mensuration
Questions 0-1
Difficulty 65%
Importance 60%
Permutation adnd Combination
Questions 0-1
Difficulty 70%
Importance 75%
Number system, decimal, and power
Questions 0-1
Difficulty 75%
Importance 65%
Clocks and Calendars
Questions 1-2
Difficulty 75%
Importance 85%
HCF and LCM & Divisbility
Questions 1-2
Difficulty 75%
Importance 80%
Percentages
Questions 0-1
Difficulty 75%
Importance 75%
0%
Ages
Questions 1-2
Difficulty 80%
Importance 85%
Speed, Time and Distance
Questions 0-1
Difficulty 75%
Importance 75%
Probability
Questions 0-1
Difficulty 75%
Importance 60%
Profit and Loss
Questions 0-1
Difficulty 75%
Importance 80%
Statistics
Questions 0-1
Difficulty 65%
Importance 60%
Numerical Ability Test Topics No. of Questions Difficulty
Time and Work 0-1 Medium
Ratio and Proportion 1-2 Medium
Mixture and Alligation 0-1 Easy
Statistics 0-1 Easy
Permutation and Combination 0-1 Medium
Average 0-1 Medium
Number System, decimal and Power 0-1 Medium
Clocks and Calendars 1-2 Medium
HCF and LCM & Divisibility 1-2 Medium
Percentages 0-1 Medium
Ages 1-2 Medium
Speed, Time and Distance 0-1 Medium
Probability 0-1 Medium
Mensuration 0-1 Easy
Profit and Loss 0-1 Medium

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Mocks

0/64

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February 14, 2024