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Aptitude Questions And Answers Sample Test 7


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Aptitude Test 7


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

57 + 50 - 52 * 54 / 58



Explanation:

Given Question is 57 + 50 - 52 * 54 / 58
when we apply BODMAS RULE to the above question, we get (Bracket Of Division) 57 + 50 - 52* ( 54/ 58 ) = 57 + 50 - 52* 0.93 = 58.59


2. What is the two-digit number?
I. The difference between the two digits is 8.
II. The sum of the digits is equal to 10.



Explanation:

Let the tens and units digit of a two digit number be X and Y respectively.

From Statement I:
X - Y = 8 --> (eqn 1)

From Statement II:
X + Y = 10 --> (eqn 2)

From Both Statements I and II:
On Adding eqn (1) and (2), we get,
2X = 18
=> X = 9 ---> subs in X – Y = 8
=> 9 – Y = 8
=> Y = 9 – 8
=> Y = 1
Therefore the two digit number is 91.
Hence, Both statement I and II are necessary to answer.


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

72.99 * 89.99 / 78.01 + 87.01 - 80.99



Explanation:

Given Question is 72.99 * 89.99 / 78.01 + 87.01 - 80.99
when we apply BODMAS RULE and round it off, we get => 73 * ( 90 / 78 ) + 87 - 81 = 73 * 1+ 87 - 81 = 90


4. In the first 30 overs of a cricket game, the run rate was only 8.2. What should be the run rate in the remaining 20 overs to reach the target of 289 runs?



Explanation:

Required Run rate = ( 289 - ( 8.2 x 30 ) )/ (20) = ( 43) /(20) = 2.15


5. The integers 32489 and 33714, when divided by a three digit number "n", leave the same remainder. What is the value of "n"?



Explanation:

Given two numbers 32489 and 33714.
Let r be the remainder we get, when we divide these both numbers by n, then
32489 = qn + r and 33714 = pn + r,
Where p and q are some integers.
Subtracting these two equations, we get
1225 = (p-q) x n.
We can write 1225 as 5 x 245.
Hence 245 is the answer.


6. Can you find the answer for the below equation

146 / 422 - 418 + 419 * 414



Explanation:

Given Question is 146 / 422 - 418 + 419 * 414
when we apply BODMAS RULE to the above question, we get (Bracket Of Division) ( 146 / 422 ) - 418 + 419 * 414 = 0.34-418+419*414 = 173048.35


7. Find the simple interest on Rs. 2400 at 10 % per annum for 7 months. 



Explanation:

Given
Principal : 2400
Rate of interest : 10
Number of months : 7
Simple interest = ( P * N * R ) / 100
Simple Interest for 1 year
= (2400 x 1 x 10) / 100
= ( 24000) / 100
= Rs 240
Simple Interest for 1 year = 240.

Simple interest for 7 months
= (7/12) x Simple Interest for 1 year
= (7/12) x 240
= 140.


8. Can you find the answer for the below equation

30 / 26 + 28 - 25 * 24



Explanation:

Given Question is 30 / 26 + 28 - 25 * 24
when we apply BODMAS RULE to the above question, we get (Bracket Of Division) ( 30 / 26 ) + 28 - 25 * 24 = 1.15+28-25*24 = -570.85


9. Can you find the answer for the below equation

111 * 112 + 113 - 114 / 115



Explanation:

Given Question is 111 * 112 + 113 - 114 / 115
when we apply BODMAS RULE to the above question, we get (Bracket Of Division) 111 * 112 + 113- ( 114/ 115 ) = 111 * 112 + 113- 0.99 = 12544.01


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

127, 106, 85, X , 43, 22



Explanation:

The given series is -- 127, 106, 85, X , 43, 22
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 85) we get 85-21=64


11. How many decimal places will be there for the fraction 17/8 ?





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

32, 47.2, 62.4, X , 92.8, 108



Explanation:

The given series is -- 32, 47.2, 62.4, X , 92.8, 108
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 62.4) we get 62.4+15.2=77.6


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

62.99 - 83.99 / 55.01 * 64.99 + 47.01



Explanation:

Given Question is 62.99 - 83.99 / 55.01 * 64.99 + 47.01
when we apply BODMAS RULE and round it off, we get => 63 - ( 84 / 55 ) * 65 + 47 = 63 - 2* 65 + 47 = 11


14. A sum of money is borrowed and paid back in two annual instalments of Rs.882 each allowing 5% compound interest .The sum borrowed was:



Explanation:

Given
The sum borrowed
Present Worth of Rs.882 due 1 year + Present Worth of Rs.882 due 2 year
=> ( 882 ) / 1 + ( 5 / 100) ^ 1 + ( 882) / 1 + ( 5 / 100) ^ 2
=> (882 / 105 * 100 ) ^ 1 + (882 / 105 * 100 ) ^ 2
=> ( 882 /( 21 / 20 ) + ( 882 / (21 / 20) ^ 2
=> ( 882 * 20) / (21) + ( 882 * 20 * 20 / 21 * 21 )
=> 42 * 20 + 42 * 20 * 20 / 21
=> 840 + 2 * 20 * 20
=> 840 + 800
=> 1640
The sum borrowed = Rs.1640


15. The difference of the squares of two consecutive odd integers is divisible by which of the following integers ?



Explanation:

Let the two consecutive odd integers be (2n + 1) and (2n + 3). Then, (2n + 3) ^2 - (2n + 1)^2 = (2n + 3 + 2n + 1) (2n + 3 - 2n - 1) = (4n + 4) x 2 = 8(n + 1), which is divisible by 8.


16. An ant walks diagonally in a Square shaped plot. It covers a distance of 40cm. Can you find the Perimeter of the Square Plot ?



Explanation:

Given Diagonal distance covered by an Ant is 40 cm
Perimeter of the Square Plot= (2 x Diagonal x ?2 )
=> (40x 2 x ?2 ) =80(?2)sq.cm


17. Find the next number in the the below series

26, 43, 61, 80, _____



Explanation:

In the given series, 26, 43, 61, 80 ,
Consecutive numbers increase by 17 ,18 ,19.
Following the same pattern, the next number should increase by 20.
When we add 20 to the last number (i.e 80) we get 20+80=100


18. Find the average of the first 56 natural numbers 



Explanation:

Solution is
Average of n natural numbers = (n + 1) / 2
= (56 + 1) / 2
= 57 / 2
= 28.5
Answer is 28.5


19. Find the next number in the the below series

7, 20, 35, 52, _____



Explanation:

In the given series, 7, 20, 35, 52 ,
Consecutive numbers increase by 13 ,15 ,17.
Following the same pattern, the next number should increase by 19.
When we add 19 to the last number (i.e 52) we get 19+52=71


20. Find the number of factors of 360



Explanation:

Prime factorization of 360 = 2^3 x 3^2 x 5^1 Number of factors = (3+1) x (2+1) x (1+1) = 4 x 3 x 2 = 24


21. If x^2 + x + 1 = 0 then the number of real solutions is 





22. Can you find the answer for the below equation

80 + 75 / 77 * 82 - 73



Explanation:

Given Question is 80 + 75 / 77 * 82 - 73
when we apply BODMAS RULE to the above question, we get (Bracket Of Division) 80 + ( 75 / 77 ) * 82 - 73 = 80 + 0.97* 82 - 73 = 86.87


23. An ant walks diagonally in a Square shaped plot. It covers a distance of 25cm. Painter charges Rs.21 per Sq.cm. How much will it cost to paint the plot?



Explanation:

Given Diagonal distance covered by an Ant is 25cm
Area of the Square Plot= (Diagonal^2) / 2
=> (25^2)/2 =312.5sq.cm
Price = Area x Cost Per Sq.cm = 312.5 x 21 = 6562.5


24. A Field Observer finds out that distance between two ends of the diagonal (land in the shape of square) is 50 feet. Price per Sq.feet in that region is 600. How much does it cost to buy the land (Exclude registration and other misc. charges )?



Explanation:

Diagonal distance of the observed field is 50 feet
Area of the observed field (in shape of Square)= (Diagonal^2) / 2
=> (50^2)/2 =1250 sq.feet
Price = Area x Cost Per Sq.feet = 1250 x 600 = 750000


25. A,B and C started a business by investing Rs.1400/- , Rs.4200/- and Rs.7000/- respectively. Total profit is Rs.8100/-. Find the C's share? 



Explanation:

Ratio of investment of A, B and C = 1400 : 4200 : 7000
= 1 : 3 : 5

Given,Total profit = Rs.8100

Then, C's share = 5/ (1 + 3 + 5) * 8100
= (5 /9) * 8100
= Rs. 4500
=> C's share =Rs. 4500


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

37.01 + 39.99 * 42.01 / 45.01 - 51.99



Explanation:

Given Question is 37.01 + 39.99 * 42.01 / 45.01 - 51.99
when we apply BODMAS RULE and round it off, we get => 37 + 40 * ( 42/ 45 ) - 52 = 37 + 40 * 1- 52 = 22


27. 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.


28. Can you find the answer for the below equation

110 + 105 / 107 * 112 - 103



Explanation:

Given Question is 110 + 105 / 107 * 112 - 103
when we apply BODMAS RULE to the above question, we get (Bracket Of Division) 110 + ( 105 / 107 ) * 112 - 103 = 110 + 0.98* 112 - 103 = 116.91


29. Question: Find the value of x ?
Statements:
I. |x - 3| < 2
II. |x + 3 | < 1



Explanation:

From Statement I:
|x - 3| < 2
=> -2 < x – 3 < 2
=> (-2 + 3) < x < (2 + 3)
=> 1 < x < 5

From Statement II:
|x + 3 | < 1
=> -1 < x + 3 < 1
=> (-1 – 3) < x < (1 – 3)
=> -4 < x < -2

From both statements I and II, we can’t deduce the exact value of x.
So, Neither Statement I nor Statement II is sufficient.


30. Can you find the answer for the below equation

14 / 34 + 33 * 32 - 29



Explanation:

Given Question is 14 / 34 + 33 * 32 - 29
when we apply BODMAS RULE to the above question, we get (Bracket Of Division) ( 14 / 34 ) + 33 * 32 - 29 = 0.41+33*32-29 = 1027.41




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