Online Aptitude Test - Aptitude Test - Random
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- Total number of questions: 20.
- Time allotted: 30 minutes.
- Each question carries 1 mark; there are no negative marks.
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- All the best!
Marks : 2/20
Total number of questions
20
Number of answered questions
0
Number of unanswered questions
20
Test Review : View answers and explanation for this test.
1.
A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder will be:
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
Let x = 296q + 75
= (37 x 8q + 37 x 2) + 1
= 37 (8q + 2) + 1
Thus, when the number is divided by 37, the remainder is 1.
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2.
8796 x 223 + 8796 x 77 = ?
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
| 8796 x 223 + 8796 x 77 | = 8796 x (223 + 77) [Ref: By Distributive Law ] |
| = (8796 x 300) | |
| = 2638800 |
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3.
If n is a natural number, then (6n2 + 6n) is always divisible by:
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
(6n2 + 6n) = 6n(n + 1), which is always divisible by 6 and 12 both, since n(n + 1) is always even.
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4.
| Reduce | 128352 | to its lowest terms. |
| 238368 |
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
128352) 238368 ( 1
128352
---------------
110016 ) 128352 ( 1
110016
------------------
18336 ) 110016 ( 6
110016
-------
x
-------
So, H.C.F. of 128352 and 238368 = 18336.
128352 128352 ÷ 18336 7
Therefore, ------ = -------------- = --
238368 238368 ÷ 18336 13
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5.
The least among the following is:
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
| 1 ÷ 0.2 = | 1 | = | 10 | = 5; |
| 0.2 | 2 |
0.2 = 0.222...;
(0.2)2 = 0.04.
0.04 < 0.2 < 0.22....<5.
Since 0.04 is the least, so (0.2)2 is the least.
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6.
| 4.2 x 4.2 - 1.9 x 1.9 | is equal to: |
| 2.3 x 6.1 |
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
| Given Expression = | (a2 - b2) | = | (a2 - b2) | = 1. |
| (a + b)(a - b) | (a2 - b2) |
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7.
| Which of the following fractions is greater than | 3 | and less than | 5 | ? |
| 4 | 6 |
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
| 3 | = 0.75, | 5 | = 0.833, | 1 | = 0.5, | 2 | = 0.66, | 4 | = 0.8, | 9 | = 0.9. |
| 4 | 6 | 2 | 3 | 5 | 10 |
Clearly, 0.8 lies between 0.75 and 0.833.
 |
4 | lies between | 3 | and | 5 | . |
| 5 | 4 | 6 |
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8.
If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ?
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
| 29.94 | = | 299.4 |
| 1.45 | 14.5 |
| = |  |
2994 | x | 1 |  |
[ Here, Substitute 172 in the place of 2994/14.5 ] |
| 14.5 | 10 |
| = | 172 |
| 10 |
= 17.2
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9.
Which of the following is equal to 3.14 x 106 ?
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
3.14 x 106 = 3.14 x 1000000 = 3140000.
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10.
Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ?
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
Let total number of children be x.
| Then, x x | 1 | x = | x | x 16  x = 64. |
| 8 | 2 |
| Number of notebooks = |
1 | x2 = | |
1 | x 64 x 64 | |
= 512. |
| 8 | 8 |
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11.
The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
Let the numbers be x and y.
| Then, xy = 9375 and | x | = 15. |
| y |
| xy | = | 9375 |
| (x/y) | 15 |
y2 = 625.
y = 25.
x = 15y = (15 x 25) = 375.
Sum of the numbers = x + y = 375 + 25 = 400.
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Direction (Q.No. 12)
Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.
12.
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. |
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
Let the tens and units digit be x and y respectively.
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 the answer.
Correct answer is (E).
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13.
Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
| Number of pages typed by Ravi in 1 hour = | 32 | = | 16 | . |
| 6 | 3 |
| Number of pages typed by Kumar in 1 hour = | 40 | = 8. |
| 5 |
| Number of pages typed by both in 1 hour = | |
16 | + 8 | |
= | 40 | . |
| 3 | 3 |
| Time taken by both to type 110 pages = |
|
110 x | 3 | |
hours |
| 40 |
| = 8 | 1 | hours (or) 8 hours 15 minutes. |
| 4 |
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14.
A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
| Suppose A, B and C take x, | x | and | x | days respectively to finish the work. |
| 2 | 3 |
| Then, | |
1 | + | 2 | + | 3 | |
= | 1 |
| x | x | x | 2 |
| |
6 | = | 1 |
| x | 2 |
x = 12.
So, B takes (12/2) = 6 days to finish the work.
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15.
A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
Let the distance travelled on foot be x km.
Then, distance travelled on bicycle = (61 -x) km.
| So, | x | + | (61 -x) | = 9 |
| 4 | 9 |
9x + 4(61 -x) = 9 x 36
5x = 80
x = 16 km.
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16.
A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is:
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
Let the speed of the second train be x km/hr.
| Relative speed | = (x + 50) km/hr | |||||||
|
||||||||
|
![]](/_files/images/aptitude/1-sym-cbracket-h1.gif)
Distance covered = (108 + 112) = 220 m.
| |
220 | = 6 | ||
|
250 + 5x = 660
x = 82 km/hr.
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17.
How much does a watch lose per day, if its hands coincide every 64 minutes?
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
55 min. spaces are covered in 60 min.
| 60 min. spaces are covered in | |
60 | x 60 | min. |
= 65 | 5 | min. |
| 55 | 11 |
| Loss in 64 min. = | |
65 | 5 | - 64 | |
= | 16 | min. |
| 11 | 11 |
| Loss in 24 hrs = | |
16 | x | 1 | x 24 x 60 | min. |
= | 32 | 8 | min. |
| 11 | 64 | 11 |
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18.
The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
| Angle traced by hour hand in | 17 | hrs = | |
360 | x | 17 | |
° | = 255°. |
| 2 | 12 | 2 |
| Angle traced by min. hand in 30 min. = | |
360 | x 30 | |
° | = 180°. |
| 60 |
Required angle = (255 - 180)° = 75°.
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19.
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
| Required number of ways = (7C5 x 3C2) = (7C2 x 3C1) = | |
7 x 6 | x 3 | |
= 63. |
| 2 x 1 |
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20.
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
Your Answer: Option
(Not Answered)
Correct Answer: Option
Explanation:
Total number of balls = (2 + 3 + 2) = 7.
Let S be the sample space.
| Then, n(S) | = Number of ways of drawing 2 balls out of 7 | |||
| = 7C2 ` | ||||
|
||||
| = 21. |
Let E = Event of drawing 2 balls, none of which is blue.
| n(E) |
= Number of ways of drawing 2 balls out of (2 + 3) balls. | |||
| = 5C2 | ||||
|
||||
| = 10. |
| P(E) = |
n(E) | = | 10 | . |
| n(S) | 21 |
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