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Analytical Reasoning Questions & Answers (Compiled from UPSC, SSC ,PSC ,IBPS previous question papers)

Choose the correct option to complete the alphabet letter series

_ABA_CABC_DCBA_BAB_A
AABDCA

If SOLAR is coded as WSPEV then LUNAR is decoded as
APXREV
BPYREV

CPXQEV
DPYCEV

Identify the wrong number in the following number sequence

5,6,14,40,105,230,446
A230
B105
C40

D446

In an alphabetical sequence, if 'EFGH' is related to 'VUTS' then BCD is related to
AYXW

Thanya is older than Eric. Daya is older than Thanya. Eric is older than Days. If first two statements are true third statement is
ATrue
BFalse

CUncertain
DCertain

A committee of five members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many different ways this can be done if the committee should have all the 4 professors and 1 research associate or all 3 trainees and 2 professors
A15
B18
C25
D12

EOther than those given as options
Explanation:

Five members team with 4 professors and 1 research associate can be selected in

= ⁴C₄×⁶C₁=1×6=6 ways

Five members team with 3 trainees and 2 professors

can be selected in = ³C₃×⁴C₂=1×6

=6 ways

∴ Total number of required ways = 6+6=12

Which element is fifth to the left of the element which is ninth from the left end of the fourth step ?
A16
Bpractice
C27
Deconomic
Emarkets

Explanation:

Input : developing 44 markets 38 27 economic practice required 16 83 72 today

Step I : economic developing 44 markets 38 27 practice required 16 83 72 today

Step II : 27 16 economic developing 44 markets 38 practise required 83 72 today

Step III : practice markets 27 16 economic developing 44 38 required 83 72 today

Step IV : 44 38 practice markets 27 16 economic developing required 83 72 today

StepV: today required 44 38 practice markets 27 16 economic developing 83 72

Step VI : 83 72 today required 44 38 practice markets 27 16 economic developing

Which element is exactly between ‘38’ and ‘required’ in the second step of the given input ?
A27
BThere is no element in between
Cpractice

Deconomic
E44
Explanation:

Input : developing 44 markets 38 27 economic practice required 16 83 72 today

Step I : economic developing 44 markets 38 27 practice required 16 83 72 today

Step II : 27 16 economic developing 44 markets 38 practise required 83 72 today

Step III : practice markets 27 16 economic developing 44 38 required 83 72 today

Step IV : 44 38 practice markets 27 16 economic developing required 83 72 today

StepV: today required 44 38 practice markets 27 16 economic developing 83 72

Step VI : 83 72 today required 44 38 practice markets 27 16 economic developing

What is the position of ‘markets’ from the left end in the first step ?
AFurth

BThird
CEighth
DNinth
EFifth
Explanation:

Input : developing 44 markets 38 27 economic practice required 16 83 72 today

Step I : economic developing 44 markets 38 27 practice required 16 83 72 today

Step II : 27 16 economic developing 44 markets 38 practise required 83 72 today

Step III : practice markets 27 16 economic developing 44 38 required 83 72 today

Step IV : 44 38 practice markets 27 16 economic developing required 83 72 today

StepV: today required 44 38 practice markets 27 16 economic developing 83 72

Step VI : 83 72 today required 44 38 practice markets 27 16 economic developing

In which step are the elements ’72 today required 44’ found in the same order ?
ASixth

BThe given order of elements is not found in any step (
Csecond
DFourth
EFirst
Explanation:

Input : developing 44 markets 38 27 economic practice required 16 83 72 today

Step I : economic developing 44 markets 38 27 practice required 16 83 72 today

Step II : 27 16 economic developing 44 markets 38 practise required 83 72 today

Step III : practice markets 27 16 economic developing 44 38 required 83 72 today

Step IV : 44 38 practice markets 27 16 economic developing required 83 72 today

StepV: today required 44 38 practice markets 27 16 economic developing 83 72

Step VI : 83 72 today required 44 38 practice markets 27 16 economic developing

Directions (Next Two Questions) : study the following information to answer the given questions.

P+Q means P is the sister of Q.

P # Q means P is the husband of Q

P$Q means P is the daughter of Q

P % Q means P is the mother of Q

P @ Q means P is the brother of Q.

Which among the given expressions indicate that J is the wife of F ?
AP $ J % R + K % F
BF @ R + K + P % J
CJ %P+K @R $ F

DJ % P # K + R $ F
ER @ P + K $ F @ J
Explanation:

What should come in place of the question mark, to establish that B is the child of K in the expression ?

T % K # F % L + N ? B
AOnly %
BEither + or@

Directions (Next Five Question) : In these questions, relationship between different elements is shown in the statements. The statements are followed by conclusions. Study the conclusion based on the given statements and select the appropriate answer.

Statements : N>L<Z; P>L; Q>Z

Conclusions : I. P>N

II. Z>P
AOnly Conclusion I is true
BEither Conclusion I or II is true
COnly Conclusion II is true
DNeither Conclusion I nor II is true

EBoth Conclusions I and II are true
Explanation:

Conclusions : I. P>N → False

(∵ Relationship does not exist)

II. Z>P→False (∵ Relationship does not exist)

Statements : N>L<Z; P>L; Q>Z

Conclusions : I. Q>L

II. Z>N
ANeither Conclusion I nor II is true
BBoth Conclusions I and II are true
COnly Conclusion II is true
DOnly Conclusion I is true

EEither Conclusion I or II is true
Explanation:

Conclusions : I. Q>L → True

(∵ Q>Z>L→Q>L)

II. Z>N→False

(∵ Relationship does not exist)

Statements : Q>R<S=T<L>V

Conclusions :I. Q<V

II.L>R
AOnly Conclusion I is true
BNeither Conclusion I nor II is true
CEither Conclusion I or II is true
DOnly Conclusion II is true

EBoth Conclusions I and II are true
Explanation:

Conclusions : I. Q<V → False

(∵ Relationship does not exist)

II L>R →True

(∴ L>T>R→L>R)

Statements :

E<C=U>T ; B>C>A

Conclusions : I. B>E; II. A<T
ABoth Conclusions I and II are true
BNeither Conclusion I nor II is true
CEither Conclusion I or II is true
DOnly Conclusion II is true
EOnly Conclusion I is true

Explanation:

Conclusions : I. B>E → True

(∵ B>C>E→B>E)

II. A<T → False

(∵ Relationship does not exist)

Statements : E<C=U>T ; B>C>A

Conclusions : I. A<E; II. T<B
ANeither Conclusion I nor II is true
BEither Conclusion I or II is true
COnly Conclusion I is true
DBoth Conclusions I and II are true
EOnly Conclusion II is true

Explanation:

Conclusions : I. A<E →False

(∵ Reletionship does no exist)

II. T<B → True

( ∵ B>C>T → B>T)

18,18,24,48,108
A254
B228

C212
D176
E194
Explanation:

18+(1³-1)18+(2³-2)24+(3³-3)48+(4³-4)100+(5³-5)228

18 men can complete a project in 30 days and 16 women can complete the same project in 36 days. 15 men start working and after 9 days they are replaced by 18 women. In how many days will 18 women complete the remaining work
A20 days
B30 days
C26 days
D28 days
E24 days

Explanation:

Let work done by 15 men in 9 days = W2

M₁ D₁/W1 = M₂ D₂/W₂

⇒ 18×30/1 = 15×9/W₂

⇒ W₂ = 15×9/18×30 = 1/4

⇒ Remaining work = 1-1/4= 3/4

16 women can complete the same project in 36 days.

∴ M₁ D₁/W₁=M₂ D₂/W₂

⇒ 16×36/1=18×D₂÷3/4

18×D₂=3/4×16×36

D₂ = 24 days

The respective ratio of the sums invested for 2 years each, in Scheme A offering 20% p.a. compound interest (compounded annually) and in Scheme B offering 9% p.a. simple interest is 1 : 3. Difference between the interests earned from both the schemes is INR 1200/- . How much was invested in Scheme A
AINR 10500/-
BINR 15000/-
CINR 12000/-

DINR 12500/-
EINR 10000/-
Explanation:

Amount invested in scheme A = INR x

Amount invested in scheme B = INR 3x

According to question,

3x×2×9/100x[(1+20/100)²-1]=1200

⇒ 54x/100-x[36/25-1]=1200

⇒ 54x/100-11x/25=1200

⇒ 54x-44x/100=1200

⇒ 10x=1200x100

⇒ x=INR 12000/-

‘A’ gave 25% of an amount to ‘B’ from the money B got, he spent 30% on a dinner. Out of the remaining amount, the respective ratio between the amount B kept as savings and the amount the spent on buying a book is 5:2. If B bought the book for INR 460/-, how much money did A have at the beginning
AINR 12600
BINR 9200

CINR 12000
DINR 9000/-
EINR 8000
Explanation:

Suppose, A had money at the beginning = INR x

The amount of money B got = x×25/100

=x/4

cost price of book = INR 460/-

Savings = 460×5/2= INR 1150/-

According to question,

x/4×70/100=(1150+460)

⇒ x= 1610×400/70

= INR 9200/-

3899÷11.99-2378÷13.97=?
A125
B250
C155

D135
E225
Explanation:

3899÷11.99-2378÷13.97=?

⇒ 3900÷12-2380÷14=?

⇒ 325-170=?

⇒ ?=155

Directions (Next Six Questions) : In each question below is given a statement followed by two assumptions numbered I and II. An assumption is something supposed or taken for granted. You have to consider the statement and the following assumptions and decide which of the assumptions is implicit in the statement.

Statement : Aman’s mother instructed him to return home by train if it rains heavily.

Assumptions :
1. Aman may not be able to decide himself if it rains heavily.
2. The trains may ply even if it rains heavily.
AIf only assumption I is implicit.
BIf only assumption II is implicit.

CIf either I or II is implicit.
DIf neither I nor II is implicit.
EIf both I and II are implicit.

Directions (Next Five Questions) : In the following questions, a passage is given with a blank space in the beginning. Three statements are given following the passage. You are required to select which of the statement(s) may be the starter ?

EBoth II and III

The sum allocated in the Railway Budget 2014-15 for the Bullet Train is :
AINR 25 crore
BINR 50 crore
CINR 100 crore

DINR 200 crore
EINR 250 crore

Directions (next 5 questions) : Study the following information carefully and answer the questions given below it.

Eight friends namely P, Q,R,S,T,U,V and W live on eight different floors of a building but not necessarily in the same order. The ground floor is numbered 1 and the one above that is numbered 2 and so on till the topmost floor is numbered 8.

S lives on an even numbered floor. Only three people live between S and T. Only one person lives between T and V. V lives on one of the floors below T. Only two persons live between V and U. W lives on a floor that is immediately below U. Only two persons live between T and Q . P does not live on the lowermost floor.

Four of the following groups are based on the given arrangement. Which is the one that does not belong to that group
ARS

BVW
CTS
DPU
EQR
Explanation:

Floor Friend

8 T

7 P

6 V

5 Q

4 S

3 U

2 W

1 R

Study the following information to answer the given questions.

The following are two findings of a one year long survey conducted on the employees of company K.

(A) Every time, an employee is rewarded for his/her work, he/she has performed better for atleast next two years.

(B) The performance of none of the employees of company K has improved in the past ten months.

Which of the following can be inferred from the given information

(NOTE : An inference is something by which you can logically deduce something to be true based on the known promises.)
AMore than 91% of company K’s employees work to their highest potential only when they are rewarded.
BAll the employees of company K have been rewarded at least once in their work span.
CThe employees receive heavy incentive apart from being rewarded which drive them to perform better.
DThere are factors other than being rewarded which affect the performance of the employees.
ENo employee has been rewarded for his/her work in the last two quarters.

Directions (next 5 questions) : Study the following information to answer the given questions.

Eight people K, L, M, N, O, P, Q and R live on eight different floors of a building but not necessarily in the same order. The lowermost floor of the building is numbered one, the one above that is numbered two and so on till the topmost floor is numbered eight.

P lives on an even numbered floor but not on the topmost p lives on an even numbered floor but not on the topmost floor. Only three people live between L and P. O lives immediately below L. N lives immediately below P. K lives immediately above Q. There are as many people between Q and R as are there between R and O.

Who amongst the following live exactly between K and N
AL,P
BP,Q

CQ,O
DR, L
EQ,R
Explanation:

Floor People

8 K

7 Q

6 P

5 N

4 R

3 M

2 L

1 O

Floor	Friend
8	T
7	P
6	V
5	Q
4	S
3	U
2	W
1	R

Floor	People
8	K
7	Q
6	P
5	N
4	R
3	M
2	L
1	O