Reasoning Ability part - 5 [For Bank- Insurance]

REASONING ABILITY#5

Directions(1-5): Read the following information carefully and answer the given questions.(meaning of the symbols is given below)
‘P © Q’ means ‘P is either equal to or greater than Q’.
‘P % Q’ means ‘P is smaller than Q’.
‘P * Q’ means ‘P is either equal to or smaller than Q’.
‘P @ Q’ means ‘P is greater than Q’.
‘P $ Q’ means ‘P is equal to Q’.
Now choose your answer from the following five options.
(a) if only Conclusion I is true.
(b) if only Conclusion II is true.
(c) if either Conclusion I or II is true.
(d) if neither Conclusion I nor II is true.
(e) if both Conclusions I and II are true.

1.Statements: L * M,
                        M $ N,
                        N % K
   Conclusions: I.K @ L
                         II.L * N


2.Statements: A © B,
                        B @ C,
                        C * D
   Conclusions: I.D © B
                         II.C % A

3.Statements: H % G,
                        G © F,
                        F * E
   Conclusions: I.F % H
                        II.G © E

4.Statements: R @ S,
                        S © T,
                        T $ V
   Conclusions: I.R @ T
                        II.V * S

5.Statements: W * X,
                         X @ Y,
                         Y % Z
   Conclusions: I.W % Y
                         II.Z @ W

Directions(6-10):Following questions are based on the five numbers given below:

                   761   548   392   645   249

6.If all the numbers are arranged in descending order (from left to right), then which among the following will be sum of all the three digits of the number which is second from the right? 
a)20
b)14
c)34
d)25
e)19

7.What will be the resultant if second digit of the highest number is divided by first digit of the lowest number? 
a)3
b)6
c)12
d)8
e)14

8.If ‘1’ is added to the first digit of every odd number and ‘1’ is subtracted from first digit of every even number, what will be the difference between the highest number and the lowest number thus formed? 
a)345
b)450
c)569
d)289
e)600

9.In each number if all the digits are arranged in descending order (from left to right) within the number, then the number of odd numbers will be formed is: 
a)Six
b)Five
c)Four
d)Two
e)One

10.If the positions of the third and the first digits of each of the numbers are interchanged. Then the difference between the first and the last digits of the second highest number thus formed? 
a)5
b)3
c)7
d)1
e)8

Directions(11-15): In each question below is given a group of number/symbol followed by five combinations of letters numbered (a), (b), (c), (d) and (e). You have to find out which of the combinations correctly represents the group of number/symbol based on the following coding system and the conditions and mark the numbers of that combination as your answer. 

Number/Symbol:  2   ©  8  % *   5  @  #  $   6  9   4   ß   7   3 
Letters code       : W  B  F  P  M  C  I  K  A  E  T  Q  H  R  U
Conditions:
i.If the first element is an even number and the last is a symbol, then both these are to be coded as “£”
ii.If first element is a symbol and last a perfect square, then the codes for both these are to be interchanged.
iii.If both first and last elements are symbols, then the codes for both these are to be coded as the code for the last symbol.

11. #7%83$:
a)ARPFUK
b)KRPFUK
c)ARUPFA
d)ARPFUA
e)KRPFUA

12. 652*8ß:
a)£CWMF£
b)£CMWF£
c)ECWMFH
d)ECWMFE
e)£CWFM£

13. ©47$29: 
a)BQRAWT
b)BQRAWB
c)TQRAWB
d)TQAWRB
e)TQRAWT

14. 5$246#:
a)KAWQEK
b)CAEWQK
c)£AWQE£
d)CAWQEK
e)KAWQEC

15. *78%34:
a)QRFPUM
b)MRFPUM
c)£RFPU£
d)QRPUFM
e)MRFPUQ

Answer key

1.e)
2.b)
3.d)
4.e)
5.d)
6.b)
7.a)
8.c)
9.d)
10.b)
11.d)
12.a)
13.c)
14.d)
15.a)

Solution

(1-5):
        © means ≥, % means <, * means ≤, @ means >, $ means =
1.L * M ↔ L ≤ M,
   M $ N ↔ M = N,
   N % K ↔ N < K
   Combining all the statements, we get
                                       L ≤ M = N < K
   Conclusions:I.K @ L ↔ K > L is true.
                       II. L * N ↔ L ≤ N is true.

2.A © B ↔ A ≥ B,
   B @ C ↔ B > C,
   C * D ↔ C ≤ D
   Combining all the statements, we get
                                       A ≥ B > C ≤ D
   Conclusions:I.D © B ↔ D ≥ B is not true.
                      II.C % A ↔ C < A is true.

3.H % G ↔ H < G,
   G © F ↔ G ≥ F,
   F * E ↔ F ≤ E
   Combining all the statements, we get
                                      H < G ≥ F ≤ E
   Conclusions:I.F % H ↔ F < H is not true.
                       II.G © E ↔ G ≥ E is not true.

4.R @ S ↔ R > S,
   S © T ↔ S ≥ T,
   T $ V ↔ T = V
   Combining all the statements, we get
                                      R > S ≥ T = V
   Conclusions:I.R @ T ↔ R > T is true.
                        II.V * S ↔ V ≤ S is true.

5.W * X ↔ W ≤ X,
   X @ Y ↔ W > Y,
   Y % Z ↔ Y < Z
   Combining all the statements, we get
                                     W ≤ X > Y < Z
   Conclusions:I.W % Y ↔ W < Y is not true.
                       II.Z @ W ↔ Z > W is not true.

(6-10):
6.761 > 645 > 548 > 392 > 249
    Required sum = 3 + 9 + 2 = 14

7.Highest number = 761
   Lowest number = 249
   Now, 6/2 = 3

8.761 ↔ 861,
   645 ↔ 745,
   249 ↔ 349,
   548 ↔ 448,
   392 ↔ 292
   861  ̶  292 = 569

9.761 ↔ 761,
   548 ↔ 854,
   392 ↔ 932,
   645 ↔ 654,
   249 ↔ 942

10.761 ↔ 167,
     548 ↔ 845,
     392 ↔ 293,
     645 ↔ 546,
     249 ↔ 942
     Second highest number = 845
             8  ̶  5 = 3

(11-15):

11. #  7  %  8  3  $
      ↓  ↓  ↓   ↓  ↓  ↓
     A  R  P  F  U A
    Condition (iii) is applicable.

12.6  5  2   *    8  ß
     ↓  ↓  ↓   ↓    ↓  ↓
     £ C W  M   F  £
     Condition (i) is applicable.

13.©  4  7  $   2  9
     ↓   ↓  ↓  ↓   ↓  ↓
    T   Q R  A  W B
    Condition (ii) is applicable.

14.5  $  2  4  6  #
     ↓  ↓  ↓  ↓  ↓  ↓
    C A W Q E K

15.*  7  8  %  3  4
     ↓  ↓  ↓  ↓   ↓  ↓
    Q  R F  P   U M