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Aptitude Questions And Answers Sample Test 10


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Aptitude Test 10


You have scored 3 out of 10
You Scored:2
Total Questions:2
Attended Questions:2
Correct Answered:2
1. Can you find the answer for the below equation

167 - 731 / 730 + 737 * 722



Explanation:

Given Question is 167 - 731 / 730 + 737 * 722
when we apply BODMAS RULE to the above question, we get 167 - ( 731 / 730 ) + 737 * 722 = 167 - 1+ 737 * 722 = 532280


2. A professor wrote the below series in class room. He wants his students to find the next number. Can you solve it for the professor?

173, 152, 131, 110, _____



Explanation:

The given series is -- 173, 152, 131, 110
Consequtive numbers decreases by 21
Following this pattern, the Missing Number should decrease by 21 from the previous number.
When we subract 21 to the last number (i.e 110) we get 110-21=89


3. Find the next number in the the below series

18, 49, 82, 117, _____



Explanation:

In the given series, 18, 49, 82, 117 ,
Consecutive numbers increase by 31 ,33 ,35.
Following the same pattern, the next number should increase by 37.
When we add 37 to the last number (i.e 117) we get 37+117=154


4. A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:



Explanation:

By investing Rs. 1552, income = Rs. 128 By investing Rs 97, income = Rs. (128/1552) x 97 = Rs. 8 Dividend = 8 %


5. A Computer program gave the following output. Can you predict the Missing number in the computer output ?

127, 152, 177, X , 227, 252



Explanation:

The given series is -- 127, 152, 177, X , 227, 252
Consecutive numbers increases by 25
Following this pattern, the Missing Number X should increase by 25 from the previous number.
When we add 25 to the number before X (i.e 177) we get 177+25=202


6. Can you find the approximate value for the below equation

119.99 / 127.01 * 117.99 + 122.01 - 113.99



Explanation:

Given Question is 119.99 / 127.01 * 117.99 + 122.01 - 113.99
when we apply BODMAS RULE and round it off, we get => ( 120 / 127 ) * 118 + 122 - 114 = 1*118+122-114 = 119


7. Find the next number in the the below series

26, 39, 53, 68, _____



Explanation:

In the given series, 26, 39, 53, 68 ,

Consecutive numbers increase by 13 ,14 ,15.

Following the same pattern, the next number should increase by 16.

When we add 16 to the last number (i.e 68) we get 16+68=84


8. A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?  



Explanation:

Given
Amount of milk left after 3 operations = [ 40 (1 - 4 /40)^3 ] litres
=[ 40 x (9/10) x (9/10) x (9/10) ]
= 29.16 litres.


9. Find the number of decimal places in the fraction 191/32





10. Find the next number in the the below series

22, 36, 53, 73, _____



Explanation:

In the given series, 22, 36, 53, 73 ,
consequtive numbers increase by 14 ,17 ,20.
Following the same pattern, the next number should increase by 23.
When we add 23 to the last number (i.e 73) we get 23+73=96


11. How many numbers greater than a million can be formed by using the digits 7, 4, 6 and 0 if 4 has to be used twice, 6 has to be used thrice and the rest only once?



Explanation:

The given digits are 4, 4, 6, 6, 6, 7 and 0. Totally we have 7 digits. So numbers greater than a million can be formed by using all the digits. 4 occurs twice, 6 occurs thrice while 0 and 7 once, Therefore total number of arrangements = 7! / (3! x 2!) = 420 We have to avoid 0 in the starting place, Number of ways in which 0 can be in the first place is 6! / 2! X 3! = 60 Hence the total number of ways = 420 – 60 = 360


12. In the given series, can you find the Missing number ?

25, 40.2, 55.4, X , 85.8, 101



Explanation:

The given series is -- 25, 40.2, 55.4, X , 85.8, 101
Consecutive numbers increases by 15.2
Following this pattern, the Missing Number X should increase by 15.2 from the previous number.
When we add 15.2 to the number before X (i.e 55.4) we get 55.4+15.2=70.6


13. Find the next number in the the below series

19, 40, 62, 85, _____



Explanation:

In the given series, 19, 40, 62, 85 ,
Consecutive numbers increase by 21 ,22 ,23.
Following the same pattern, the next number should increase by 24.
When we add 24 to the last number (i.e 85) we get 24+85=109


14. At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ? 



Explanation:

Let the present ages of Arun and Deepak be 4x years and 3x years respectively.
Then, 4x + 6 = 26
=> 4x = 20
=> x = 5.
Therefore, Deepak's age
=> 3x = 15 years.


15. Can you find the answer for the below equation

38 + 44 * 40 - 42 / 46



Explanation:

Given Question is 38 + 44 * 40 - 42 / 46
when we apply BODMAS RULE to the above question, we get (Bracket Of Division) 38 + 44 * 40- ( 42/ 46 ) = 38 + 44 * 40- 0.91 = 1797.09


16. I. 8X^2 + 10X + 3= 0
II. 5Y^2 – 8Y + 3 = 0 



Explanation:

Given,I. 8X^2 + 10X + 3= 0
=>8X^2 + 6X + 4X + 3= 0
=> 2X (4X + 3) + (4X + 3) = 0
=>(2X+1)(4X+3) =0
=> X = -1/2, -3/4

II. 5Y^2 – 8Y + 3 = 0
=>5Y^2 – 5Y - 3Y + 3 = 0
=> 5Y(Y -1) - 3(Y - 1) = 0
=> (5Y-3)(Y-1) =0
=> Y = 1, 3/5

On putting X, Y values in Timeline: 3/5, 1, -1/2, -3/4 => Y > X


17. How much time does a train 110 metres long running at the speed of 72 km/hr take to cross a bridge 132 metres in length?



Explanation:

Given, Length of train = 110 meter
Speed of train =72 km/hr
Length of bridge =132 metre

---> Converting Speed from km/hr into m/sec
=>Speed of train = 72 * (5/18) m/sec
= 4 * 5
= 20 m/sec

Formula:-Time taken by train to cross the bridge = (Length of the train + Length of the bridge) /Speed of train
= (110 + 132) / 20
= 242/ 20
= 12.1 sec

Thus,Time taken by train to cross the bridge =12.1 seconds


18. Two bells ring at an interval of 20 sec and 37 secs. After what least time in seconds, will both the bells ring together ?  



Explanation:

Given
Two bells ring at an interval of 20 to 37 secs
=> When both bells ring together at least time
=> 20 * 37
=> 740 seconds


19. Fifth number is missing in the below series. Can you find the fifth number in the below series ?

173, 190, 207, 224, _____



Explanation:

The given series is -- 173, 190, 207, 224
Consecutive numbers increases by 17
Following this pattern, the Missing Number should increase by 17 from the previous number.
When we add 17 to the last number (i.e 224) we get 224+17=241


20. Can you find the approximate value for the below equation

201.99 + 205.01 * 202.99 - 209.01 / 211.01



Explanation:

Given Question is 201.99 + 205.01 * 202.99 - 209.01 / 211.01
when we apply BODMAS RULE and round it off, we get => 202 + 205 * 203- ( 209/ 211 ) = 202 + 205 * 203- 1 = 41816


21. Find the next number in the the below series

21, 39, 58, 78, _____



Explanation:

In the given series, 21, 39, 58, 78 ,

Consecutive numbers increase by 18 ,19 ,20.

Following the same pattern, the next number should increase by 21.

When we add 21 to the last number (i.e 78) we get 21+78=99


22. Find the next number in the the below series

14, 37, 61, 86, _____



Explanation:

In the given series, 14, 37, 61, 86 ,

Consecutive numbers increase by 23 ,24 ,25.

Following the same pattern, the next number should increase by 26.

When we add 26 to the last number (i.e 86) we get 26+86=112


23. Find the volume of the sphere of radius 7





24. Can you find the answer for the below equation

125 - 308 * 313 + 316 / 305



Explanation:

Given Question is 125 - 308 * 313 + 316 / 305
when we apply BODMAS RULE to the above question, we get 125 - 308 * 313+ ( 316/ 305 ) = 125 - 308 * 313+ 1.03 = -96277.96


25. A cistern can be filled in 9 hours but due to a leak at its bottom it takes 10 hours. If the cistern is full find the time taken to empty the tank (in hours).  



Explanation:

Part of tank filled without leak in 1 hour = 1/9
Part of tank filled with leak in 1 hour = 1/10

Work done by leak in 1 hour
=(1/9) −(1/10)
=1/ 90

We used subtraction as it is getting empty.

So total time to empty the cistern is 90 hours


26. Can you find the approximate value for the below equation

111.99 - 116.01 + 100.99 / 101.01 * 92.99



Explanation:

Given Question is 111.99 - 116.01 + 100.99 / 101.01 * 92.99
when we apply BODMAS RULE and round it off, we get => 112 - 116 + ( 101/ 101 ) * 93 = 112 - 116 + 1* 93 = 89


27. (4444 ÷ 40) + (645 ÷ 25) + (3991 ÷ 26) = ?  



Explanation:

Given
Question is: (4444 ÷ 40) + (645 ÷ 25) + (3991 ÷ 26)
=(111.1) + (25.8) + (153.5)
= 290.4


28. A rectangular plot has a length of 29 units, and breadth of 14 units. Find the perimeter of the plot ?



Explanation:

Perimeter of Rectangle = 2 x (length + breadth)
= 2 x (29 + 14) = 86


29. Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is: 



Explanation:

Given
Distance = 105 km
Speed upstream = 7.5 kmph.
Speed downstream = 10.5 kmph.
Total time taken = Distance / Speed inupstream +Speed indownstream
= ( 105 / 7.5) + (105 / 10.5 ) hours
= 14 + 10
= 24 hours.
Total time taken by him = 24 hours.


30. The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area? 



Explanation:

Let original length = x
and original breadth = y.
Original area = length x breadth = xy

New length = x/2
New breadth = 3y.
New area = (x/2) x 3y = (3/2) xy = 1.5 xy

Therefore, %Increase in area = {(New area -Original area) /Original area} * 100 %
= {(1.5 xy - xy) / xy} * 100%
= (0.5 xy / xy) * 100%
= 0.5 * 100%
= 50 %

Therefore, Percentage increase in area = 50 %




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