Free Sample Aptitude Test Questions And Answers:

Sample aptitude aptitude questions with answers for all competitive exams like CAT,MAT,IBPS BANK EXAMS,RAILWAYS,GROUPS for practice,which are from aptitude and reasoning helps you more.Have the questions and try to solve them,if you did not get then check your answers.
 1.  The average age of a class of 39 students is 15 years .If the age of the teacher be included, then the average increases by 3 months .Find the age of the teacher.
A) 25 years
B) 27 years
C) 35 years
D) 28 years
ans A
2. The average of eight numbers is 14. The average of six of these numbers is 16.The average of the remaining two numbers is :
A)4
B) 8
C)16
D)none

ans B
3. The average of ten numbers is 7 . If each number is multiplied by 12 ,then the average of new set of numbers is :
A) 7
B)19
C) 82
D) 84


ans D

Problems on Trains Important Formulas

• km/hr to m/s conversion:

    a km/hr =  a x 5         m/s.
    18

•     m/s to km/hr conversion:

    a m/s = a x  18         km/hr.
    5

•     Formulas for finding Speed, Time and Distance

•     Time taken by a train of length l metres to pass a pole or standing man or a signal post is equal to the time taken by the train to cover l metres.

•     Time taken by a train of length l metres to pass a stationery object of length b metres is the time taken by the train to cover (l + b) metres.

•     Suppose two trains or two objects bodies are moving in the same direction at u m/s and v m/s, where u > v, then their relative speed is = (u - v) m/s.

•     Suppose two trains or two objects bodies are moving in opposite directions at u m/s and v m/s, then their relative speed is = (u + v) m/s.

•     If two trains of length a metres and b metres are moving in opposite directions at u m/s and v m/s, then:

•     The time taken by the trains to cross each other =     (a + b)     sec.

    (u + v)

•     If two trains of length a metres and b metres are moving in the same direction at u m/s and v m/s, then:

•     The time taken by the faster train to cross the slower train =     (a + b)     sec.

    (u - v)

•     If two trains (or bodies) start at the same time from points A and B towards each other and after crossing they take a and b sec in reaching B and A respectively, then:

    (A's speed) : (B's speed) = (b : a)

Reasoning Ability Question paper

1.(i) 'P× Q' means 'Q' is mother of 'P'.
(ii) 'P × Q' means 'P' is brother of 'Q'.
(iii) 'P - Q' means 'P' is sister of 'Q'.
(iv) 'P ÷ Q' means 'Q is father of 'P'.

Which of the following definitely means R is grandson of K?
 (a) R × T ÷ K
(b) M + R × T ÷ K
(c) M - R × T ÷ K
(d) Cannot be determined
(e) None of these.
Ans (e)

2. How many such pairs of digits are there in the number 95137248 each of which has as many digits between them in the number as when they are arranged in ascending order?
(a) None
(b) One
(c) Two
(d) Three
(e) More than three.
Ans (b)

3. In a certain code PATHOLOGIST is written as PIUBQKSRHFN. How is CONTROVERSY written in that code?
(a) SUOPDNXRQDU
(b) SUOPDNZTSFW
(c) QSMNBPXRQDU
(D) QSMNBPZTSFW
(e) None of these.
Ans (a)

4. In a certain code PATHOLOGIST is written as PIUBQKSRHFN. How is CONTROVERSY written in that code?
(a) SUOPDNXRQDU
(b) SUOPDNZTSFW
(c) QSMNBPXRQDU
(D) QSMNBPZTSFW
(e) None of these.
Ans (a)

5. Four of the following five are alike in a certain way and so form a group. Which is the one that does not belong to that group?
(a) Food : Hunger
(b) Water : Thirst
(c) Air : Suffocation
(d) Talent : Education
(e) Leg : Lame
Ans (d)

SBI CLERK MODEL QUESTION NUMERICAL ABILITY TEST

1. Sum of smallest six digit no. and greatest five digit no. is:
a. 199999

b. 201110

c. 211110

d. 1099999

e. None of these


2. Value of 112 * 54. is :
a. 6700

b. 70000

c. 76500

d. 77200

e. None of these


3. 1399*1399
a. 1687401

b. 1901541

c. 1943211

d. 1957201

e. None of these


4. When a no. is multiplied by 13 product consist of all 5’s. The smallest such no. is
a. 41625

b. 42135

c. 42515

d. 42735

e. None of these

REASONING QUESTIONS

Directions (Q. 1-5):  Answer these questions referring to the symbol-letter-number sequence given below:
5 6 $ V W F? 4? M I 9 TB 8 U3 £G 2# * H E 7 N 1 Y A X

1. How many symbols are there which are immediately preceded by a number and immediately followed by a letter?
1) 2
2) 3
3) 4
4) 5
5) None of these

2. If all the symbols are dropped from the series, which letter/number will the be eleventh to the left of fifteenth letter/number from your left?
1) M
2) 1
3) 7
4) F
5) None of these

3. If the positions of the first and the sixteenth elements, second and seventeenth elements, and so on up to eleventh and twenty-sixth elements, are interchanged, which letter/number/symbols will be seventh to the right of nineteenth letter/number/symbol from the right?
1) 6
2) $
3) X
4) V
5) None of these

4. If the positions of the letters in the sequence are reoccupied by the letters themselves though after getting rearranged alphabetically from the left, which of the following will indicate the position of M in the new arrangement?
1) M is between * and 2
2) M is 13th from the right
3) M is 21st from the right
4) M is 15th from the left
5) None of these

5. What is the total number of 'the numbers immediately followed by a letter' and 'the symbols immediately following the letters' together in the above sequence?
1) 5
2) 6
3) 7
4) 8
5) None of these

groung thinking

1.How could a baby fall out of a twenty-story building onto the ground and live?

Answer:

The baby fell out of a ground floor window

 2.There are six eggs in the basket. Six people each take one of the eggs. How can it be that one egg is left in the basket?

Answer:

The last person took the basket with the last egg still inside

thinking levels

1.Acting on an anonymous phone call, the police raid a house to arrest a suspected murderer. They don't know what he looks like but they know his name is John and that he is inside the house. The police bust in on a carpenter, a lorry driver, a mechanic and a fireman all playing poker. Without hesitation or communication of any kind, they immediately arrest the fireman. How do they know they've got their man?

Answer:

The fireman is the only man in the room. The rest of the poker players are women

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2.A man lives in the penthouse of an apartment building. Every morning he takes the elevator down to the lobby and leaves the building. Upon his return, however, he can only travel halfway up in the lift and has to walk the rest of the way - unless it's raining. What is the explanation for this?

Answer:

The man is a dwarf. He can't reach the upper elevator buttons, but he can ask people to push them for him. He can also push them with his umbrella.

thinking

You are driving down the road in your car on a wild, stormy night, when you pass by a bus stop and you see three people waiting for the bus

    An old lady who looks as if she is about to die.
    An old friend who once saved your life.
    The perfect partner you have been dreaming about.

Knowing that there can only be one passenger in your car, whom would you choose?

Answer: 


The old lady of course! After helping the old lady into the car, you can give your keys to your friend, and wait with your perfect partner for the bus

The Warden

The warden meets with 23 new prisoners when they arrive. He tells them, "You may meet today and plan a strategy. But after today, you will be in isolated cells and will have no communication with one another.

"In the prison is a switch room, which contains two light switches labeled 1 and 2, each of which can be in either up or the down position. I am not telling you their present positions. The switches are not connected to anything.

"After today, from time to time whenever I feel so inclined, I will select one prisoner at random and escort him to the switch room. This prisoner will select one of the two switches and reverse its position. He must flip one switch when he visits the switch room, and may only flip one of the switches. Then he'll be led back to his cell.

"No one else will be allowed to alter the switches until I lead the next prisoner into the switch room. I'm going to choose prisoners at random. I may choose the same guy three times in a row, or I may jump around and come back. I will not touch the switches, if I wanted you dead you would already be dead.

"Given enough time, everyone will eventually visit the switch room the same number of times as everyone else. At any time, anyone may declare to me, 'We have all visited the switch room.'

"If it is true, then you will all be set free. If it is false, and somebody has not yet visited the switch room, you will all die horribly. You will be carefully monitored, and any attempt to break any of these rules will result in instant death to all of you"

What is the strategy they come up with so that they can be free?

The Card Trick

I ask Alex to pick any 5 cards out of a deck with no Jokers.

He can inspect then shuffle the deck before picking any five cards. He picks out 5 cards then hands them to me (Peter can't see any of this). I look at the cards and I pick 1 card out and give it back to Alex. I then arrange the other four cards in a special way, and give those 4 cards all face down, and in a neat pile, to Peter.

Peter looks at the 4 cards i gave him, and says out loud which card Alex is holding (suit and number). How?

The solution uses pure logic, not sleight of hand. All Peter needs to know is the order of the cards and what is on their face, nothing more.


Answer: Pick out two cards of the same suit. Select a card for Alex where adding a number no greater than six will result in the number of the other card of the same suit. Adding one to the Ace would cycle to the beginning again and result in a Two. E.g. if you have a King and a Six of Diamonds, hand the King to Alex. The other three cards will be used to encode a number from 1 through 6. Devise a system with Peter to rank all cards uniquely from 1 to 52 (e.g. the two of hearts is 1, the two of diamonds is fourteen etc...). That will allow you to choose from six combinations, depending on where you put the lowest and highest cards.
 

There is something about Mary

Mary's mum has four children.
The first child is called April.
The second May.
The third June.
What is the name of the fourth child?

Answer: Mary.

Mary's mothers fourth child was Mary herself.

The Socks

Cathy has six pairs of black socks and six pairs of white socks in her drawer.

In complete darkness, and without looking, how many socks must she take from the drawer in order to be sure to get a pair that match?


Answer: 3

Socks do not come in in left and right, so any black will pair with any other black and any white will pair with any other white. If you have three socks and they are either colored black or white, then you will have at least two socks of the same color, giving you one matching pair.

The Bobber

You can paddle your canoe seven miles per hour through any placid lake. The stream flows at three miles per hour. The moment you start to paddle up stream a fisherman looses one of his bobbers in the water fourteen miles up stream of you.

How many hours does it take for you and the bobber to meet?



Answer: 2

Ignore the speed of the stream, as the cork will be carried along at three miles per hour as will you. It takes two hours to travel fourteen miles, at a rate of seven miles per hour.

The Frog

A frog is at the bottom of a 30 meter well. Each day he summons enough energy for one 3 meter leap up the well. Exhausted, he then hangs there for the rest of the day. At night, while he is asleep, he slips 2 meters backwards. How many days does it take him to escape from the well?

Note: Assume after the first leap that his hind legs are exactly three meters up the well. His hind legs must clear the well for him to escape.



Answer: 28

Each day he makes it up another meter, and then on the twenty seventh day he can leap three meters and climb out.

The Father

A mother is 21 years older than her child. In exactly 6 years from now, the mother will be exactly 5 times as old as the child.

Where's the father?



Answer:

With the mother. If you do the math, you find out the child will be born in 9 months.

SBI Bank Clerk exam Reasoning Ability

1.(i) 'P× Q' means 'Q' is mother of 'P'.
 (ii) 'P × Q' means 'P' is brother of 'Q'.
(iii) 'P - Q' means 'P' is sister of 'Q'.
(iv) 'P ÷ Q' means 'Q is father of 'P'.

Which of the following definitely means R is grandson of K?
(a) R × T ÷ K
(b) M + R × T ÷ K
(c) M - R × T ÷ K
(d) Cannot be determined
(e) None of these.
Ans (e)

2. How many such pairs of digits are there in the number 95137248 each of which has as many digits between them in the number as when they are arranged in ascending order?(a) None
(b) One
(c) Two
(d) Three
(e) More than three.
Ans (b)

3. In a certain code PATHOLOGIST is written as PIUBQKSRHFN. How is CONTROVERSY written in that code?
(a) SUOPDNXRQDU
(b) SUOPDNZTSFW
(c) QSMNBPXRQDU
(D) QSMNBPZTSFW
(e) None of these.
Ans (a)

4. In a certain code PATHOLOGIST is written as PIUBQKSRHFN. How is CONTROVERSY written in that code?(a) SUOPDNXRQDU(b) SUOPDNZTSFW
(c) QSMNBPXRQDU
(D) QSMNBPZTSFW
(e) None of these.
Ans (a)

5. Four of the following five are alike in a certain way and so form a group. Which is the one that does not belong to that group?(a) Food : Hunger
(b) Water : Thirst
(c) Air : Suffocation
(d) Talent : Education(e) Leg : Lame
Ans (d)

Number series

1.Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?
A.     (1/3)    B.     (1/8)
C.     (2/8)    D.     (1/16)

Explanation:

This is a simple division series; each number is one-half of the previous number.

In other terms to say, the number is divided by 2 successively to get the next result.

4/2 = 2
2/2 = 1
1/2 = 1/2
(1/2)/2 = 1/4
(1/4)/2 = 1/8 and so on.

2.Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?
A.     12  
B.     14
C.     27  
D.     53
Answer: ( B)

Explanation:

In this series, each number is repeated, then 13 is subtracted to arrive at the next number.


3.Look at this series: 22, 21, 23, 22, 24, 23, ... What number should come next?
A.     22  
B.     24
C.     25  
D.     26

Answer:  (C)

Explanation:

In this simple alternating subtraction and addition series; 1 is subtracted, then 2 is added, and so on.
4.Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come next?
A.     14  
B.     15
C.     21  
D.     23
Answer: (B)

Explanation:

In this alternating repetition series, the random number 21 is interpolated every other number into an otherwise simple addition series that increases by 2, beginning with the number 9.


5.Look at this series: 3, 4, 7, 8, 11, 12, ... What number should come next?
A.     7  
B.     10
C.     14  
D.     15

Answer: (D)

Explanation:

This alternating addition series begins with 3; then 1 is added to give 4; then 3 is added to give 7; then 1 is added, and so on.