Online Aptitude Test - Aptitude Test - Random
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- Total number of questions: 20.
- Time allotted: 30 minutes.
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Marks : 2/20
Test Review : View answers and explanation for this test.
By hit and trial, we put x = 5 and y = 1 so that (3x + 7y) = (3 x 5 + 7 x 1) = 22, which is divisible by 11.
(4x + 6y) = ( 4 x 5 + 6 x 1) = 26, which is not divisible by 11;
(x + y + 4 ) = (5 + 1 + 4) = 10, which is not divisible by 11;
(9x + 4y) = (9 x 5 + 4 x 1) = 49, which is not divisible by 11;
(4x - 9y) = (4 x 5 - 9 x 1) = 11, which is divisible by 11.
4 | x z = 6 x 1 + 4 = 10 ----------- 5 | y -2 y = 5 x z + 3 = 5 x 10 + 3 = 53 ----------- 6 | z - 3 x = 4 x y + 2 = 4 x 53 + 2 = 214 ----------- | 1 - 4 Hence, required number = 214.
Let the given number be 476 xy 0.
Then (4 + 7 + 6 + x + y + 0) = (17 + x + y) must be divisible by 3.
And, (0 + x + 7) - (y + 6 + 4) = (x - y -3) must be either 0 or 11.
x - y - 3 = 0 
y = x - 3
(17 + x + y) = (17 + x + x - 3) = (2x + 14)
x= 2 or x = 8.
x = 8 and y = 5.
| Which of the following fractions is greater than | 3 | and less than | 5 | ? |
| 4 | 6 |
| 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 |
So, 0.04 x 0.0162 = 0.000648 = 6.48 x 10-4
Suppose the man works overtime for x hours.
Now, working hours in 4 weeks = (5 x 8 x 4) = 160.
160 x 2.40 + x x 3.20 = 432
3.20x = 432 - 384 = 48
x = 15.
Hence, total hours of work = (160 + 15) = 175.
Let the son's present age be x years. Then, (38 - x) = x
2x = 38.
x = 19.
Son's age 5 years back (19 - 5) = 14 years.
Suppose originally he had x apples.
Then, (100 - 40)% of x = 420.
| |
60 | x x = 420 |
| 100 |
| x = |
 |
420 x 100 |  = 700. |
| 60 |
Video Explanation: https://youtu.be/-Pv25Do3WwY
Each of these questions is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the given question.
Three friends, P, Q and R started a partnership business investing money in the ratio of 5 : 4 : 2 respectively for a period of 3 years. What is the amount received by P as his share profit? | |
I. | Total amount invested in the business in Rs. 22,000. |
II. |
Profit earned at the end of 3 years is |
III. | The average amount of profit earned per year is Rs. 2750. |
of the total investment.
| I and II give, profit after 3 years = Rs. | |
3 | x 22000 | |
= Rs. 8250. |
| 8 |
From III also, profit after 3 years = Rs. (2750 x 3) = Rs. 8250.
| P's share = Rs. |
|
8250 x | 5 | |
= Rs. 3750. |
| 11 |
Thus, (either III is redundant [or] I and II are redundant).
Correct answer is (B).
Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and
- Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
- Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
- Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
Two cars pass each other in opposite direction. How long would they take to be 500 km apart? | |
I. | The sum of their speeds is 135 km/hr. |
II. | The difference of their speed is 25 km/hr. |
I gives, relative speed = 135 km/hr.
| Time taken = |
500 | hrs. |
| 135 |
II does not give the relative speed.
I alone gives the answer and II is irrelevant.
Correct answer is (A).
| Speed = | |
240 | m/sec = 10 m/sec. |
| 24 |
| Required time = |
|
240 + 650 | sec = 89 sec. |
| 10 |
Let the speed of the stream be x km/hr. Then,
Speed downstream = (15 + x) km/hr,
Speed upstream = (15 - x) km/hr.
| |
30 | + | 30 | = 4 | 1 |
| (15 + x) | (15 - x) | 2 |
| |
900 | = | 9 |
| 225 - x2 | 2 |
9x2 = 225
x2 = 25
x = 5 km/hr.
Video Explanation: https://youtu.be/lMFnNB3YQOo
%Let C.P. of 1 litre milk be Re. 1
Then, S.P. of 1 litre of mixture = Re. 1, Gain = 25%.
| C.P. of 1 litre mixture = Re. | |
100 | x 1 | |
= | 4 |
| 125 | 5 |
By the rule of alligation, we have:
| C.P. of 1 litre of milk C.P. of 1 litre of water | |||||
| Re. 1 | Mean Price
| 0 | |||
|
|
||||
| Ratio of milk to water = |
4 | : | 1 | = 4 : 1. |
| 5 | 5 |
| Hence, percentage of water in the mixture = | |
1 | x 100 | % |
= 20%. |
| 5 |
| Principal = Rs. | |
100 x 5400 | |
= Rs. 15000. |
| 12 x 3 |
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.
What is the rate of interest p.c.p.a.? | |
I. | An amount doubles itself in 5 years on simple interest. |
II. | Difference between the compound interest and the simple interest earned on a certain amount in 2 years is Rs. 400. |
III. | Simple interest earned per annum is Rs. 2000. |
| I. | P x R x 5 | = P R = 20. |
| 100 |
| II. P | |
1 + | R | |
2 | - P - | P x R x 2 | = 400 PR2 = 4000000. |
| 100 | 100 |
| III. | P x R x 1 | = 2000 PR = 200000. |
| 100 |
| |
PR2 | = | 4000000 | R = 20. |
| PR | 200000 |
Thus I only or (II and III) give answer.
Correct answer is (E).
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.
What is the capacity of the cylindrical tank? | |
I. | The area of the base is 61,600 sq. cm. |
II. | The height of the tank is 1.5 times the radius. |
III. | The circumference of base is 880 cm. |
Capacity = 
r2h.
I gives, r2 = 61600. This gives r.
II gives, h = 1.5 r.
Thus, I and II give the answer.
Again, III gives 2r = 880. This gives r.
So, II and III also give the answer.
Correct answer is (E).
For an income of Rs. 8, investment = Rs. 100.
| For an income of Rs. 6, investment = Rs. | |
100 | x 6 | |
= Rs. 75. |
| 8 |
Market value of Rs. 100 stock = Rs. 75.
'LOGARITHMS' contains 10 different letters.
| Required number of words | = Number of arrangements of 10 letters, taking 4 at a time. |
| = 10P4 | |
| = (10 x 9 x 8 x 7) | |
| = 5040. |
| The banker's gain on a certain sum due 1 | 1 | years hence is | 3 | of the banker's |
| 2 | 25 |
discount. The rate percent is:
Let, B.D = Re. 1.
| Then, B.G. = Re. | 3 | . |
| 25 |
| T.D. = (B.D. - B.G.) = Re. |
|
1 - | 3 | |
= Re. | 22 | . |
| 25 | 25 |
| Sum = | |
1 x (22/25) | |
= Rs. | 22 | . |
| 1-(22/25) | 3 |
| S.I. on Rs. | 22 | for 1 | 1 | years is Re. 1. |
| 3 | 2 |
| Rate = |
 |
100 x 1 |  % |
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