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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. What is 14.5% of 4000?



Explanation:

Solution is
14.5% of 4000 = (14.5/100 ) x 4000 = 580


2. A professor wrote down the below series in a classroom. He wants his students to find the Missing number. Can you solve it ?

30, 47.3, 64.6, X , 99.2, 116.5



Explanation:

The given series is -- 30, 47.3, 64.6, X , 99.2, 116.5
Consecutive numbers increases by 17.3
Following this pattern, the Missing Number X should increase by 17.3 from the previous number.
When we add 17.3 to the number before X (i.e 64.6) we get 64.6+17.3=81.9


3. If two numbers are in the ratio 6: 13 and their least common multiple is 312, the sum of the numbers is



Explanation:

Let the two numbers be 6k and 13k LCM of 6k and 13k = 78k 78k = 312 => k = 4 Sum of the numbers 6k + 13k = 19k = 76


4. Ben walks diagonally in a Square shaped park. Ben covers a distance of 30m. To plough the given Square Park, a merchant charges Rs.20 per Sq.m. How much money have to be paid to the merchant?



Explanation:

Given Ben walks distance of 30m
Park is in the shape of Square, so area of park (in shape of Square) = (Diagonal^2) / 2
=> (30^2)/2 =450 sq.m
Price = Area x Cost Per Sq.m = 450 x 20 = 9000


5. A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:



Explanation:

Let man's rate upstream be x kmph. Then, his rate downstream = 2x kmph. Therefore , (Speed in still water) : (Speed of stream) = ( 2x + x /2) : ( 2x - x /2) = 3x / 2 : x /2 = 3: 1


6. Given rectangle of length 28 units, and breadth of 8 units. Compute its area ?



Explanation:

Area of Rectangle = length x breadth
28 x 8= 224


7. 335.01 x 244.99 / 55 = ?  



Explanation:

Given, 335.01 x 244.99 / 55 = 335 x (245 / 55)
= 335 x 4.46
= 1494.1
= 1490 (approx)


8. Find the next number in the the below series

7, 19, 33, 49, _____



Explanation:

In the given series, 7, 19, 33, 49 ,
Consecutive numbers increase by 12 ,14 ,16.
Following the same pattern, the next number should increase by 18.
When we add 18 to the last number (i.e 49) we get 18+49=67


9. Can you find the answer for the below equation

126 * 127 + 128 - 129 / 130



Explanation:

Given Question is 126 * 127 + 128 - 129 / 130
when we apply BODMAS RULE to the above question, we get (Bracket Of Division) 126 * 127 + 128- ( 129/ 130 ) = 126 * 127 + 128- 0.99 = 16129.01


10. In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together ?



Explanation:

In the word 'MATHEMATICS', we treat the vowels AEAI as one letter.
Thus, we have MTHMTCS (AEAI).
Now, we have to arrange 8 letters, out of which M occurs twice, T occurs twice and the rest are different.
Number of ways of arranging these letters = 8! / (2 ! ) (2 ! ) = 10080.

Now, AEAI has 4 letters in which A occurs 2 times and the rest are different.
Number of ways of arranging these letters = 4! / 2 ! = 12.

Therefore, Required number of words = (10080 x 12) = 120960.


11. For a rectangle length is 29 units, and breadth is 11 units. Can you find its area ?



Explanation:

Area of Rectangle = length x breadth
29 x 11= 319


12. Below Numbers follow a particular pattern. Can you find the Missing number in the below pattern?

129, 150, 171, X , 213, 234



Explanation:

The given series is -- 129, 150, 171, X , 213, 234
Consecutive numbers increases by 21
Following this pattern, the Missing Number X should increase by 21 from the previous number.
When we add 21 to the number before X (i.e 171) we get 171+21=192


13. What number should come next ?

112, 135, 158, 181, _____



Explanation:

The given series is -- 112, 135, 158, 181
Consecutive numbers increases by 23
Following this pattern, the Missing Number should increase by 23 from the previous number.
When we add 23 to the last number (i.e 181) we get 181+23=204


14. What is the two-digit number?
I. Sum of the digits is 7.
II. Difference between the number and the number obtained by interchanging the digits is 9.
III. Digit in the ten's place is bigger than the digit in the unit's place by 1.



Explanation:

I. x + y = 7
II. (10x+y) - (10y+x) = 9 ---> x - y = 1
III. x - y = 1
Thus, I and II , as well as I and III give answer


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

61.99 + 53.01 / 57.99 * 55.01 - 52.99



Explanation:

Given Question is 61.99 + 53.01 / 57.99 * 55.01 - 52.99
when we apply BODMAS RULE and round it off, we get => 62 + ( 53 / 58 ) * 55 - 53 = 62 + 1* 55 - 53 = 59


16. 64% of 2650 + 40% of 320 = ?  



Explanation:

64% of 2650 = (64/100) * 2650 =1696
40% of 320 = (40/100) * 320 =128

Thus, 1696 + 128 = 1824


17. Can you find the answer for the below equation

32 - 56 / 55 + 62 * 47



Explanation:

Given Question is 32 - 56 / 55 + 62 * 47
when we apply BODMAS RULE to the above question, we get 32 - ( 56 / 55 ) + 62 * 47 = 32 - 1.01+ 62 * 47 = 2944.98


18. A certain amount earns simple interest of Rs.1750 after 7 years .Had the interest been 2% more,how much more interest would it have earned?





19. A professor wrote down the below series in a classroom. He wants his students to find the Missing number. Can you solve it ? 
 
133, 112, 91, X , 49, 28



Explanation:

The given series is -- 133, 112, 91, X , 49, 28
Consecutive numbers decreases by 21
Following this pattern, the Missing Number X should decrease by 21 from the previous number.
When we subtract 21 to the number before X (i.e 91) we get 91--21=70


20. Can you find the answer for the below equation

153 / 443 - 439 + 440 * 435   



Explanation:

Given Question is 153 / 443 - 439 + 440 * 435
when we apply BODMAS RULE to the above question, we get (Bracket Of Division)
= (153 / 443 ) - 439 + 440 * 435
= 0.34-439+440*435
= 190961.35.


21. Milk & Water are mixed in the ratio of 1:14. Total Volume of the mixture is 200 litres. Find the composition of Milk in the overall mixture? 



Explanation:

Given Milk & Water are in the ratio of 1:14 Given volume of mixture = 200 litres Quantity of Milk = 1/(1+14) x 200 = 13.33


22. Find the next number in the the below series

5, 24, 45, 68, _____



Explanation:

In the given series, 5, 24, 45, 68 ,

Consecutive numbers increase by 19 ,21 ,23.

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

When we add 25 to the last number (i.e 68) we get 25+68=93


23. Can you find the answer for the below equation

61 + 56 / 58 * 63 - 54



Explanation:

Given Question is 61 + 56 / 58 * 63 - 54
when we apply BODMAS RULE to the above question, we get (Bracket Of Division) 61 + ( 56 / 58 ) * 63 - 54 = 61 + 0.96* 63 - 54 = 67.83


24. Which number should come in place of the missing Number ?

137, 168, 199, X , 261, 292



Explanation:

The given series is -- 137, 168, 199, X , 261, 292
Consecutive numbers increases by 31
Following this pattern, the Missing Number X should increase by 31 from the previous number.
When we add 31 to the number before X (i.e 199) we get 199+31=230


25.  15 - 2 + 4 ÷ 1/2 × 8 = ?  



Explanation:

Given expression is 15 - 2 + 4 ÷ 1/2 × 8
When we apply BODMAS RULE to the above question, we get
=> 15 - 2 + 4 ÷ (1/2) × 8
= 15 - 2 + (4 / 0.5) * 8
= 15 - 2 + (8 * 8)
= 15 - 2 + 64
= 77


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

30, 48.6, 67.2, X , 104.4, 123



Explanation:

The given series is -- 30, 48.6, 67.2, X , 104.4, 123
Consecutive numbers increases by 18.6
Following this pattern, the Missing Number X should increase by 18.6 from the previous number.
When we add 18.6 to the number before X (i.e 67.2) we get 67.2+18.6=85.8


27. John invested an amount of Rs. 20000 for 2 years at compound interest at the rate of 6 % per annum. Find the amount he receives at the end of 2 years?



Explanation:

Principal : P = 20,000 Rs.
Rate of Interest : r = 6 %
Number of years : n = 2

Amount = P x (1 + r/100)n
=> Amount = 20,000 x (1+6/100)2
=20000 x (1+3/50)2
=20000 x (53/50) x (53/50)
=561800 / 25
= 22472

Thus, the Amount that John receives at the end of 2 years= Rs.22472


28. What should come in place of _____ in the below number series?

173, 149, 125, 101, _____



Explanation:

The given series is -- 173, 149, 125, 101
Consecutive numbers decreases by 24
Following this pattern, the Missing Number should decrease by 24 from the previous number.
When we subtract 24 to the last number (i.e 101) we get 101--24=77


29. A and B can complete the work in some days. B takes twice the number of days to complete the work compares to A. If both work together the job gets completed in 6 days. In how many days A alone can complete the work?



Explanation:

Let the time taken by A = x days
Then, time taken by B = 2x days

Given, Time taken by A and B together = 6 days.
=> 1/(A + B) = (1/A) + (1/B)
=> 1/6 = (1/x) + (1/2x)
=> 1/6 = (2 + 1) / 2x
=> 1/6 = 3/2x
Taking reciprocal on both sides,
=> 6 = 2x / 3
=> 6 * 3 = 2x
=> 18 / 2 = x
=> x = 9
A alone complete the work in 9 days.


30. Can you find the answer for the below equation

112 + 116 * 104 / 111 - 108 



Explanation:

Given Question is 112 + 116 * 104 / 111 - 108
when we apply BODMAS RULE to the above question, we get (Bracket Of Division)
=112 + 116 * ( 104/ 111 ) - 108
= 112 + 116 * 0.93- 108
= 112.68.




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