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Logical Problems

**Directions to solve**

Ques1. Shreya is older than Riya.

Sita is older than Shreya.

Riya is older than Sita.

If given first two statements are true, then the third statement is

- True
- False
- Uncertain

Explanation: Answer is B

The first two statements are true, Riya is the youngest of the three, so the third statement must be false.

Ques2. Banana cost more than mango.

Banana cost less than strawberry.

Strawberry cost more than mango and banana.

If given first two statements are true, then the third statement is

- True
- False
- Uncertain

Explanation: Answer is A

The first two statements are true, Strawberry is the most expensive of the three.

Ques3. Shyam runs faster than Ram.

Rohit runs faster than Shyam.

Ram runs faster than Rohit.

If the given two statements are true, the third statement is

- True
- False
- Uncertain

Explanation: Answer is B

From the two statements we get to know that Rohit runs fastest. Therefore, the third statement must be false.

Ques4. All the roses in garden are red.

All the lilies in garden are yellow.

All the flowers in garden are either red or yellow.

If the given two statements are true, the third statement is

- True
- False
- Uncertain

Explanation: Answer is C

The first two statements gives the information about roses and lilies in garden but there is no information about any other kind of flower which cannot be determined.

Ques5. In last year, Harry travelled more cities than Chris.

Chris travelled fewer cities than Harman.

Harman travelled more cities than Harry.

If the given two statements are true, the third statement is

- True
- False
- Uncertain

Explanation: Answer is C

The first two statements are true as both Harry and Harman travelled more cities than Chris. But, it is uncertain as to whether Harman travelled more cities than Harry.

Directions (Ques6-10): Read the following question carefully and answer them:

There are five friends Vijay, Amar, Rakesh, Karan and Sanjay. Vijay is shorter than Amar but taller than Sanjay. Rakesh is tallest. Karan is a little shorter than Amar and little taller than Vijay.

Ques6. Who is the shortest?

- Sanjay
- Vijay
- Karan
- Amar
- None of these

Explanation: Answer is A

Let us denote the five boys by the first letter of their names, namely V, A, R, K and S.

Then, S<V<A<R and V<K<A.

S<V<K<A<R

Sanjay is the shortest.

Ques7. If they stand in the order of their heights, who will be in the middle?

- Amar
- Sanjay
- Vijay
- Karan
- None of these

Explanation: Answer is D

S<V<K<A<R

Karan is in the middle.

Ques8. If they stand in the order of increasing heights, then who will be the second?

- Karan
- Vijay
- Sanjay
- Amar
- None of these

Explanation: Answer is B

S<V<K<A<R

In the order of increasing heights i.e. shortest to tallest, Vijay is second.

Ques9. Who is the second tallest?

- Vijay
- Amar
- Karan
- Sanjay
- None of these

Explanation: Answer is B

S<V<K<A<R

Amar is second tallest.

Ques10. Who is taller than Karan but shorter than Rakesh?

- Amar
- Sanjay
- Vijay
- Data inadequate
- None of these

Explanation: Answer is A

S<V<K<A<R

Amar is taller than Karan but shorter than Rakesh.

Ques11. Tommy weighs less than Johnny.

Tommy weighs more than Buddy.

Of the three dogs, Buddy weighs the least

If the given two statements are true, the third statement is

- True
- False
- Uncertain

Explanation: Answer is A

As per the first two statements, Johnny weighs the most and Buddy weighs the least.

Ques12. Class 1 has more students than Class 2.

Class 3 has fewer students than Class 2.

Class 1 has fewer students than Class 3.

If the given two statements are true, the third statement is

- True
- False
- Uncertain

Explanation: Answer is B

From the first two statements, we get to know that of out the three classes, Class 1 has the highest students, so the third statement must be false.

Ques13. Fact1: All cats like to run.

Fact2: Some cats like to swim.

Fact3: Some cats look like their masters.

If the first three given statements are facts then which of the following statement must also be a fact?

- All cats who like to swim look like their masters.
- Cats who like to swim also like to run.

- Cats who like to run do not look like their masters.

- I only
- II only
- II and III only
- None of the statement is a known fact.

Explanation: Answer is B

In this given question, statement II is the only true statement. As all cats like to run, then the ones who like to swim also like to run. There is no support for statement I or statement III.

Ques14. Fact1: Monica has four children

Fact2: Two of the children have brown eyes and two of the children have black eyes.

Fact3: Half of the children are boys.

If the first three given statements are facts then which of the following statement must also be a fact?

- At least one boy has brown eyes.
- Two of the children are girls.

- The girls have black eyes.

- I only
- II only
- II and III only
- None of the statement is a known fact.

Explanation: Answer is B

As one-half of the four children are boys then, two must be girls. Since, it is not clear which children have brown or black eyes.

Ques15. In the hockey match, Akshay was sitting on seat 54. Mohan was sitting to the right of Akshay on seat 55. In the seat left of Akshay was Gautam. Imran was sitting to the left of Gautam. Which seat is Imran sitting in?

- 52 ) 54 c.) 55 d.) 56 e.) None of these

Explanation: Answer is A

If Gautam is sitting at Akshay’s left, Gautam’s seat is 53. The next seat to the left is 52.

Ques16. Find the next number in the sequence:

1, 9, 17, 33, 49, 73, ….

- 99 ) 96 c.) 97 d.) 100 e.) None of these

Explanation: Answer is C

1 + 8 = 9

9 + 8 =17

17 + 16 = 33

33 + 16 = 49

49 + 24 =73

73 + 24 = 97

Ques17. If the day before yesterday was Saturday, what day will fall on the day after tomorrow?

- Sunday ) Friday c.) Wednesday d.) Tuesday e.) None of these

Explanation: Answer is C

Day before yesterday, it was Saturday i.e. today is Monday and hence, tomorrow will be Tuesday and it will be Wednesday day after tomorrow.

Ques18. Six students A, B, C, D, E and F are standing in a row. ‘B’ is between F and D. ‘E’ is between A and C. ‘A’ is not standing beside For D. ‘C’ is not standing beside D, then F is standing between which of the following pairs?

- B and C ) B and D c.) B and A d.) B and E e.) None of these

Explanation: Answer is A

At first, we arrange the information

- B is between F and D.
- E is between A and C
- A is not beside F and D. C is not beside D.

So, adding equations (i) and (ii) we get C is beside F.

Hence, F is between B and C.

Ques19. In a certain code language ‘POLISH’ is written as ‘MLIFPE’. How will ‘DIG’ be written in that code?

- ZFD ) AFD c.) BGD d.) EHF e.) None of these

Explanation: Answer is B

POLISH -> MLIFPE

Similarly, DIG -> AFD

Ques20. Choose the missing term:

U, O, I, ?, W

- Y ) C c.) T d.) H e.) None of these

Explanation: Answer is B

U O I C W

21 15 9 3 1

Ques21. Choose out the odd one:

- Publisher ) Reporter c.) Writer d.) Reader e.) None of these

Explanation: Answer is D

Publisher, Reporter and Writer are the persons involved in preparing a journal, magazine or newspaper. But reader reads that journal, magazine or newspaper. Hence, (d) is the odd option.

Ques22. Ajay is taller than Sohan. Sohan is not as tall as Ajay but taller than Amar. Sagar too is not as tall as Sohan but taller than Amar. Who is the tallest?

- Sohan ) Amar c.) Ajay d.) Sagar e.) None of these

Explanation: Answer is C

At first, we arrange the given information and arrange boys in the descending order of height:

- Ajay is taller than Sohan

i.e. Ajay > Sohan -> (i)

ii.) Sohan is not as tall as Ajay but taller than Amar, i.e. Ajay > Sohan > Amar -> (ii)

(iii) Sagar too is not as tall as Sohan but taller than Amar, i.e. Ajay > Sohan > Sagar > Amar

Hence, Ajay is the tallest.

Ques23. X, Y and Z are intelligent. X, W and U are laborious and W, Z and U are honest and X, Y and U are ambitious. Which of the following are not honest?

- X and Y ) Z and X c.) X and W d.) Z, X and Y e.) None of these

Explanation: Answer is A

Intelligent | Laborious | Honest | Ambitious | |

X | yes | yes | Yes | |

Y | yes | Yes | ||

Z | yes | Yes | ||

W | Yes | Yes | ||

U | yes | yes | yes |

Ques24. In a certain code language ‘PUJA’ is written as ‘CFWJ’. How will ‘RUBY’ be written in that code?

- AYWL ) AXWX c.) AXWL d.) AXVL e.) None of these

Explanation: Answer is C

PUJA -> CFWJ

Similarly,

RUBY -> AXWL

Ques25. Choose the missing term:

BEH, KNQ, TWZ, ?

- IJL ) CFI c.) BDF d.) ADG e.) None of these

Explanation: Answer is B

This series can be written in three parts.

B +9 K +9 T +9 C

E +9 N +9 W +9 F

H +9 Q +9 Z +9 I