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Aptitude Questions And Answers Sample Test 1


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Aptitude Test 1


You have scored 3 out of 10
You Scored:2
Total Questions:2
Attended Questions:2
Correct Answered:2
1. A Square shaped wooden plate has a diagonal length of 30cm. Can you find the Perimeter of plate ?



Explanation:

Given Diagonal length of Square shaped wooden plate 30cm
Perimeter of the Wooden plate (in shape of Square)= (2 x Diagonal x ?2 )
=> (30x 2 x ?2 ) =60(?2)sq.cm


2. Evaluate the expression: 2 + 5 * 6 - 7 * 8 / 4 + 6



Explanation:

Given Question is 2 + 5 * 6 - 7 * 8 / 4 + 6
when we apply BODMAS RULE to the above question, we get
2 + 5 * 6 - 7 * (8 / 4) + 6
= 2 + (5 * 6)(7 * 2) + 6
= 2 + 30 – 14 + 6
= 38 – 14
= 24


3. There were 12 students in a particular Class. The class teacher knows the overall height of all the students in the class is 1400. Can you find the average height of students in the class?



Explanation:

Use the below formula to find the average height of students in the class Average Height = ( Total Height of all students in the Class / Total Number of Students) Average Height = ( 1400/12) = 116.67


4. Can you find the approximate value for the following expression:

29.8% of 260 + 60.01% of 510 − 103.57 = ?



Explanation:

Given
29.8% of 260 + 60.01% of 510 − 103.57 = ?

Rounding off the given Expression we get,
= ( 30 / 100 ) * 260 + ( 60 / 100 ) * 510 - ( 104 )
= 78 + 306 - 104
= 384 - 104
= 280


5. The length of the side of a square is represented by x+2. The length of the side of an equilateral triangle is 2x. If the square and the equilateral triangle have equal perimeter, then the value of x is _______



Explanation:

Since the side of the square is x + 2, its perimeter = 4 * side = 4 (x + 2) = 4x + 8
Since the side of the equilateral triangle is 2x, its perimeter = 3 * side = 3 * 2x = 6x
Also, the perimeters of both are equal. (i.e.) 4x + 8 = 6x (i.e.) 2x = 8 => x = 4


6. Can you find the answer for the below equation

66 / 314 * 301 - 308 + 297



Explanation:

Given Question is 66 / 314 * 301 - 308 + 297
when we apply BODMAS RULE to the above question, we get (Bracket Of Division) ( 66 / 314 ) * 301 - 308 + 297 = 0.21*301-308+297 = 52.27


7. Find the next number in the the below series

23, 38, 56, 77, _____



Explanation:

In the given series, 23, 38, 56, 77 ,

Consecutive numbers increase by 15 ,18 ,21.

Following the same pattern, the next number should increase by 24.

When we add 24 to the last number (i.e 77) we get 24+77=101


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

91.01 * 111.01 / 97.99 - 108.99 + 99.01



Explanation:

Given Question is 91.01 * 111.01 / 97.99 - 108.99 + 99.01
when we apply BODMAS RULE and round it off, we get => 91 * ( 111 / 98 ) - 109 + 99 = 91 * 1- 109 + 99 = 93


9. Diameter of a wheel is 3m. The wheel revolves 28 times in a minute. To cover 5.280 km distance, the wheel will take





10. Find the approximate value
24% of 650 - ? % of 123. 68 = 78.2



Explanation:

Given expression is:
24% of 650 - ? % 123. 68 = 78.2
=> ( 24 / 100) * 650 - [(X / 100) * 123.68] = 78.2 ( rounding off we get)
=> 156 - (X / 100) * 124 = 78
=> 156 - 78 = (X /100) * 124
=> 78 = (X /100) * 124
=> X = (100 * 78) / 124
=> X = 62.90
=> X = 63 approximately.


11. Find the next number in the the below series

18, 42, 67, 93, _____ 



Explanation:

In the given series, 18, 42, 67, 93 ,
Consecutive numbers increase by 24 ,25 ,26.
Following the same pattern, the next number should increase by 27.
When we add 27 to the last number (i.e 93) we get 27+93=120


12. 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


13. In the below given sequence, what should be the Missing number ?

77, 64, 51, X , 25, 12



Explanation:

The given series is -- 77, 64, 51, X , 25, 12
Consecutive numbers decreases by 13
Following this pattern, the Missing Number X should decrease by 13 from the previous number.
When we subtract 13 to the number before X (i.e 51) we get 51--13=38


14. Find the next number in the the below series

16, 38, 61, 85, _____



Explanation:

In the given series, 16, 38, 61, 85 ,

Consecutive numbers increase by 22 ,23 ,24.

Following the same pattern, the next number should increase by 25.

When we add 25 to the last number (i.e 85) we get 25+85=110


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

15.99 * 32.99 / 21.01 + 30.01 - 23.99



Explanation:

Given Question is 15.99 * 32.99 / 21.01 + 30.01 - 23.99
when we apply BODMAS RULE and round it off, we get => 16 * ( 33 / 21 ) + 30 - 24 = 16 * 2+ 30 - 24 = 31


16. Find the next number in the the below series

11, 38, 68, 101, _____



Explanation:

In the given series, 11, 38, 68, 101 ,
Consecutive numbers increase by 27 ,30 ,33.
Following the same pattern, the next number should increase by 36.
When we add 36 to the last number (i.e 101) we get 36+101=137


17. A farmer decides to plough a Rectangle shaped field whose land measures 45x37m. To plough the field using tractor, the driver charges Rs.44 per Sq.m. Find the overall cost to the farmer?



Explanation:

Given Length = 45m & Breadth = 37m
Area of Rectangle = Length x Breadth => 45 x =37 = 1665
Price = Area x Cost Per Sq.m = 1665 x 44 = 73260


18. Which of the following expressions is equivalent to sin 6x : 



Explanation:

sin (A + B) = sin A cos B + cos A sin B
Let A = 2x and B = 4x
Sin (6x) = sin (2x + 4x) = sin (2x) cos (4x) + cos (2x) sin (4x)


19. What least number must be subtracted from 13601, so that the remainder is divisible by 87  ?



Explanation:

13601 = 87 x 156 + 29
Here 29 is the remainder.


20. Find the next number in the the below series

17, 28, 42, 59, _____



Explanation:

In the given series, 17, 28, 42, 59 ,

Consecutive numbers increase by 11 ,14 ,17.

Following the same pattern, the next number should increase by 20.

When we add 20 to the last number (i.e 59) we get 20+59=79


21. 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


22. Find the next number in the the below series

26, 45, 65, 86, _____



Explanation:

In the given series, 26, 45, 65, 86 ,

Consecutive numbers increase by 19 ,20 ,21.

Following the same pattern, the next number should increase by 22.

When we add 22 to the last number (i.e 86) we get 22+86=108


23. Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:



Explanation:

Let the numbers be 3x and 5x
Then (3x-9)/(5x-9) = 12/23 => 23(3x-9)=12(5x-9) => 9x = 99 => x = 11
Therefore the smaller number is 3x = 3 x 11 = 33


24. If 2 sin x + 3 sin y = 5, then cos x + 3 cos y = ?





25. 19.13% of 190 + ? = 111 



Explanation:

19.13% of 190 + ? = 111
= 19 / 100 * 190 + x = 110
= 361 + 10 x = 110
= 10 x = 110 -361
= 10 x = 251
= x = 251 / 10
= x = 25.1
= 24.7(approx)


26. A train travels from City X to City Y at a speed of 44 kmph, while on its return journey the train was travelling at speed of 77 kmph. Find the average speed of the train. 



Explanation:

Let x be the speed of the train while going from City X to Y.
Let y be the speed of the train while going from City Y to X.

Average speed of the train is given by = 2xy / (x+y)
Average speed = (2 x 44 x 77) / (44 + 77 )
Average speed = 56


27. A motorboat went the river for 14 km and then up the river for 9 km. It took a total of 5 hrs the entire journey. Find the speed of the river flow if the speed of the boat in still water is 5 km/hr



Explanation:

Let the speed of the stream be x kmph Then Upward speed = 5-x kmph and Downstream = 5+x kmph 14/(5+x) + (9/(5-x)) = 5 => x=2 70 – 14x + 45 + 9x = 5(25-x2) 115 – 5x = 5(25-x2) 5x2-5x+115-125=0 => x2 – x -2 =0 => (x+1)(x-2) = 0 X =-1 not possible, x = 2


28. Find the area of the triangle whose coordinates are (1, 2) , (3, 4) and (5, 10)





29. Peter bought a laptop for Rs. 24,700, which he later sold to John for Rs. 26000. Find the profit percentage. 



Explanation:

S.P = 26000 and C.P = 24700.
Profit = S.P – C.P = 26000 – 24700 = 1300
Profit percentage = (Profit /C.P) x 100 = (1300/26000) x 100 = 100 / 20 = 5 %


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

110.99 / 121.99 * 108.01 - 115.01 + 104.01



Explanation:

Given Question is 110.99 / 121.99 * 108.01 - 115.01 + 104.01
when we apply BODMAS RULE and round it off, we get => ( 111 / 122 ) * 108 - 115 + 104 = 1*108-115+104 = 87




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