# Online Aptitude Test - Aptitude Test 3

Instruction:

• This is a FREE online test. DO NOT pay money to anyone to attend this test.
• Total number of questions : 20.
• Time alloted : 30 minutes.
• Each question carry 1 mark, no negative marks.
• DO NOT refresh the page.
• All the best :-).

1.

The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:

A.
 3500
B.
 4000
C.
 4050
D.
 5000

Correct Answer: Option B

Explanation:

Let P, Q and R represent their respective monthly incomes. Then, we have:

P + Q = (5050 x 2) = 10100 .... (i)

Q + R = (6250 x 2) = 12500 .... (ii)

P + R = (5200 x 2) = 10400 .... (iii)

Adding (i), (ii) and (iii), we get:  2(P + Q + R) = 33000  or   P + Q + R = 16500 .... (iv)

Subtracting (ii) from (iv), we get P = 4000.

P's monthly income = Rs. 4000.

2.

A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:

A.
 250
B.
 276
C.
 280
D.
 285

Correct Answer: Option D

Explanation:

Since the month begins with a Sunday, to there will be five Sundays in the month.

Required average
 = 510 x 5 + 240 x 25 30
 = 8550 30
= 285

3.

The sum of two number is 25 and their difference is 13. Find their product.

A.
 104
B.
 114
C.
 315
D.
 325

Correct Answer: Option B

Explanation:

Let the numbers be x and y.

Then, x + y = 25 and x - y = 13.

4xy = (x + y)2 - (x- y)2

= (25)2 - (13)2

= (625 - 169)

= 456

xy = 114.

Learn more problems on : Problems on Numbers

Direction (for Q.No. 4):

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.
4.

 What is the number? I. The sum of the two digits is 8. The ratio of the two digits is 1 : 3. II. The product of the two digit of a number is 12. The quotient of two digits is 3.

A.
 I alone sufficient while II alone not sufficient to answer
B.
 II alone sufficient while I alone not sufficient to answer
C.
 Either I or II alone sufficient to answer
D.
 Both I and II are not sufficient to answer
E.
 Both I and II are necessary to answer

Correct Answer: Option C

Explanation:

Let the tens and units digit be x and y respectively. Then,

 I. x + y = 8 and x = 1 y 3

I gives, 4y = 24       y = 6.

So, x + 6 = 8       x = 2.

 II. xy = 12 and x = 3 y 1

II gives, x2 = 36       x = 6.

So, 3y = 6       y = 2.

Therefore, Either I or II alone sufficient to answer.

Learn more problems on : Problems on Numbers

5.

A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B?

A.
 7
B.
 8
C.
 9
D.
 10
E.
 11

Correct Answer: Option D

Explanation:

Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.

(2x + 2) + 2x + x = 27

5x = 25

x = 5.

Hence, B's age = 2x = 10 years.

Learn more problems on : Problems on Ages

6.

(17)3.5 x (17)? = 178

A.
 2.29
B.
 2.75
C.
 4.25
D.
 4.5

Correct Answer: Option D

Explanation:

Let (17)3.5 x (17)x = 178.

Then, (17)3.5 + x = 178.

3.5 + x = 8

x = (8 - 3.5)

x = 4.5

Learn more problems on : Surds and Indices

7.

 If x = 3 + 22, then the value of x - 1 is: x

A.
 1
B.
 2
C.
 22
D.
 33

Correct Answer: Option B

Explanation:

 x - 1 2 = x + 1 - 2 x x

 = (3 + 22) + 1 - 2 (3 + 22)

 = (3 + 22) + 1 x (3 - 22) - 2 (3 + 22) (3 - 22)

= (3 + 22) + (3 - 22) - 2

= 4.

 x - 1 = 2. x

Learn more problems on : Surds and Indices

8.

A and B together have Rs. 1210. If of A's amount is equal to of B's amount, how much amount does B have?

A.
 Rs. 460
B.
 Rs. 484
C.
 Rs. 550
D.
 Rs. 664

Correct Answer: Option B

Explanation:

 4 A = 2 B 15 5

 A = 2 x 15 B 5 4

 A = 3 B 2

 A = 3 B 2

A : B = 3 : 2.

 B's share = Rs. 1210 x 2 = Rs. 484. 5

Learn more problems on : Ratio and Proportion

9.

Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:

A.
 16 hours
B.
 18 hours
C.
 20 hours
D.
 24 hours

Correct Answer: Option D

Explanation:

Speed upstream = 7.5 kmph.

Speed downstream = 10.5 kmph.

 Total time taken = 105 + 105 hours = 24 hours. 7.5 10.5

Learn more problems on : Boats and Streams

10.

A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?

A.
 Rs. 4462.50
B.
 Rs. 8032.50
C.
 Rs. 8900
D.
 Rs. 8925
E.
 None of these

Correct Answer: Option D

Explanation:

Principal
 = Rs. 100 x 4016.25 9 x 5
 = Rs. 401625 45
= Rs. 8925.

Learn more problems on : Simple Interest

11.

A person takes a loan of Rs. 200 at 5% simple interest. He returns Rs. 100 at the end of 1 year. In order to clear his dues at the end of 2 years, he would pay:

A.
 Rs. 105
B.
 Rs. 110
C.
 Rs. 115
D.
 Rs. 115.50

Correct Answer: Option C

Explanation:

Amount to be paid
 = Rs. 100 + 200 x 5 x 1 + 100 x 5 x 1 100 100
= Rs. 115.

Learn more problems on : Simple Interest

12.

The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:

A.
 1520 m2
B.
 2420 m2
C.
 2480 m2
D.
 2520 m2

Correct Answer: Option D

Explanation:

We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103.

Solving the two equations, we get: l = 63 and b = 40.

Area = (l x b) = (63 x 40) m2 = 2520 m2.

13.

What was the day of the week on 28th May, 2006?

A.
 Thursday
B.
 Friday
C.
 Saturday
D.
 Sunday

Correct Answer: Option D

Explanation:

28 May, 2006 = (2005 years + Period from 1.1.2006 to 28.5.2006)

Odd days in 1600 years = 0

Odd days in 400 years = 0

5 years = (4 ordinary years + 1 leap year) = (4 x 1 + 1 x 2) 6 odd days

```Jan.  Feb.   March    April    May
(31 +  28  +  31   +   30   +   28 ) = 148 days
```

148 days = (21 weeks + 1 day) 1 odd day.

Total number of odd days = (0 + 0 + 6 + 1) = 7 0 odd day.

Given day is Sunday.

14.

The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:

A.
 0°
B.
 10°
C.
 5°
D.
 20°

Correct Answer: Option B

Explanation:

 Angle traced by hour hand in 13 hrs = 360 x 13 ° = 130°. 3 12 3

 Angle traced by min. hand in 20 min. = 360 x 20 ° = 120°. 60

Required angle = (130 - 120)° = 10°.

15.

At what angle the hands of a clock are inclined at 15 minutes past 5?

A.
 58 1 ° 2
B.
 64°
C.
 67 1 ° 2
D.
 72 1 ° 2

Correct Answer: Option C

Explanation:

 Angle traced by hour hand in 21 hrs = 360 x 21 ° = 157 1 ° 4 12 4 2

 Angle traced by min. hand in 15 min. = 360 x 15 ° = 90°. 60

 Required angle = 157 1 ° - 90° = 67 1 ° 2 2

16.

The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:

A.
 80°
B.
 75°
C.
 60°
D.
 105°

Correct Answer: Option B

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°.

17.

At what time between 9 and 10 o'clock will the hands of a watch be together?

A.
 45 min. past 9
B.
 50 min. past 9
C.
 49 1 min. past 9 11
D.
 48 2 min. past 9 11

Correct Answer: Option C

Explanation:

To be together between 9 and 10 o'clock, the minute hand has to gain 45 min. spaces.

55 min. spaces gained in 60 min.

 45 min. spaces are gained in 60 x 45 min or 49 1 min. 55 11

 The hands are together at 49 1 min. past 9. 11

18.

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?

A.
 63
B.
 90
C.
 126
D.
 45
E.
 135

Correct Answer: Option A

Explanation:

 Required number of ways = (7C5 x 3C2) = (7C2 x 3C1) = 7 x 6 x 3 = 63. 2 x 1

Learn more problems on : Permutation and Combination

Direction (for Q.No. 19):
Find out the wrong number in the given sequence of numbers.
19.

8, 13, 21, 32, 47, 63, 83

A.
 47
B.
 63
C.
 32
D.
 83

Correct Answer: Option A

Explanation:

Go on adding 5, 8, 11, 14, 17, 20.

So, the number 47 is wrong and must be replaced by 46.

Learn more problems on : Odd Man Out and Series

Direction (for Q.No. 20):
Insert the missing number.
20.

1, 4, 9, 16, 25, 36, 49, (....)

A.
 54
B.
 56
C.
 64
D.
 81

Correct Answer: Option C

Explanation:

Numbers are 12, 22, 32, 42, 52, 62, 72.

So, the next number is 82 = 64.

Learn more problems on : Odd Man Out and Series