## Reasoning Practice Quiz for IBPS, SBI and other bank exams

Reasoning Practice Quiz for IBPS, SBI and other bank exams
Directions (1 – 4): Read the information given and answer the following questions.
The Greek letters α, β, λ, μ, Ω, φ and π  not necessarily in that order, stand for seven consecutive integers from 1 to 10, μ is 3 less than α, β is the middle term. φ is as much less than β as λ is greater than μ, π  is greater than φ.
1. The fifth integer is
A) α
B) λ
C) μ
D) Ω
E) φ
2. α is as much greater than φ as which integer is less than π?
A) α
B) β
C) λ
D) μ
E) Ω
3. If α = 7, the sum of φ and π is
A) 8
B) 11
C) 12
D) 14
E) 16
4. The greatest possible value of  λ is how much greater than the smallest possible value of  μ ?
A) 2
B) 3
C) 4
D) 5
E) 6
Directions (5 – 9): In the following question assuming the given statements to be true, find which of the conclusion among given three conclusions is /are definitely true and then give your answers accordingly.
5. StatementsK ≥ J; L = M; O < N; K <L; K < P; M ≥ N
Conclusions: I.  M < O II. J < L III. J > L IV. N < P
A) None is true
B) Only II and IV are true
C) Only I and IV is true
D) Only II is true
E) Only III is true
6. Statements: 1 > X; Y = 8; 6 ≤ 1; 8 < Z
Conclusions: I. 8 ≥ Y II. 6 > X III. X > Y
A) None is true
B) Only I and II are true
C) Only II and III are true
D) Only III and I are true
E) All are true
7. Statements: J > K ≥ M< O; K ≤ L; M ≥ N; A > N; B < C; B < N
Conclusions: I. L ≥ N II. B < O III. J > B
A) None is true
B) Only I is true
C) Only II is true
D) Only I and III is true
E) All are true
8. Statements: T ≤ U; V < W > X; U = V; Y ≥ Z > T
Conclusions: I. Z < U II. U < Y
A) Only conclusion I is true.
B) Only conclusion II is true.
C) Either conclusion I or II is true.
D) Neither conclusion I nor II is true.
E) Both the conclusion I and II are true.
9. Statement: M ≥ Q > T ≥ S < O ≤ W < X; P ≥ N < Y ≥ Z ≥ V ≥ U ≥ R
Conclusions: I. M > S   II. R ≤ X  III. Y < V  IV. T ≥ O  V. T > Y
A) Only conclusion (I) is true.
B) Neither conclusion (I) nor conclusion (III) is true.
C) Only conclusion (III) is true.
D) Only conclusion (II) is true.
E) All conclusion (I), (II), (III), (III) and (V) are true.
Solutions:
(1 – 4):
Alphabets: α, β, λ, μ, Ω, φ and π
Numbers: 1 to 10
Condition:
1. They stand for 7 consecutive integers.
2. μ is 3 less than α α μ = 3  α > μ
3. β is the middle term.
4. φ is as much less than β as λ is greater than μ β φ = λ μ β φ and λ > μ
5. π is greater than φ π  > φ
Since we don’t know the first number for given consecutive number. So, we’ll arrange alphabets using given order but wouldn’t assign numbers.
1) β is the middle term.
2) α – μ = 3
Possibility 1
 Alphabet μ β α Position 1st 2nd 3rd Middle 5th 6th 7th
Possibility 2
 Alphabet μ β α Position 1st 2nd 3rd Middle 5th 6th 7th
3) β – φ = λ – μ
Possibility 1
 Alphabet μ φ β α Position 1st 2nd 3rd Middle 5th 6th 7th
But no place for λ. Hence this possibility is eliminated.
Possibility 2
 Alphabet φ μ β λ Α Position 1st 2nd 3rd Middle 5th 6th 7th
4) π  > φ
 Alphabet Ω φ μ β λ Α π Position 1st 2nd 3rd Middle 5th 6th 7th
1. B) Clearly, 5th integer is λ.
2. D) α – φ= π – x 6 2 = 7 x x = 3rd = π.
3. B) If α = 7 (6 + 1) then φ = 2 + 1 = 3; π = 7 + 1 = 8 φ + π = 8 + 3 = 11
4. E) Greatest possible value of λ is smallest possible value of μ Greatest value of λ can be 8 and smallest value of μ can be 3 8 3 = 5.
5. D) Given statements: K ≥ J; L = M; O < N; K < L; K < P ; M ≥ N
On combining: J ≤ K < L = M ≥ N > O; K < P
Conclusions:
I. M < O → False (as M ≥ N > O)
II. J < L → True (as J ≤ K < L)
III. J > L → False (as J ≤ K < L)
IV. N < P → False (No relation between N and P)
Therefore, conclusion II is true.
6. A) Given statements: 1 > X; Y = 8; 6 ≤ 1; 8 < Z
On combining: Z > 8 = Y; 6 ≤ 1 > X,
Conclusions:
I. 8 ≥ Y → False (as 8 = Y → thus 8 cannot be greater than Y)
II. 6 > X → False (as 6 ≤ 1 > X → thus no direct relationship between 6 and X can be obtained)
III. X > Y → False (no direct relationship between Y and X can be obtained)
Therefore, none of the conclusions is true.
7. E) Given statements: J > K ≥ M< O; K ≤ L; M ≥ N; A > N; B < C; B < N
On combining: J > K ≤ L; K ≥ M < O; A > N ≤ M; N > B < C
Conclusions:
I. L ≥ N → True (as K ≤ L and K ≥ M and N ≤ M → N ≤ M ≤ K ≤ L → N ≤ L)
II. B < O → True (as M < O and N ≤ M and N > B → O > M ≥ N > B → O > B)
III. J > B → True (as J > K and K ≥ M and N ≤ M and N > B → J > K ≥ M ≥ N > B → J > B)
Therefore, all the conclusions follow.
8. D) Given Statements:
T ≤ U; V < W > X; U = V; Y ≥ Z = T
Y Z > T U = V < W > X
Conclusions:
I. Z < U → Z > T ≤ U → hence relationship between Z and U cannot be determined.
II. U < Y → Y ≥ Z > T ≤ U → Y > T ≤ U → hence relationship between U and Y cannot be determined.
Hence none of the conclusion follow.
9. A) Given statements: M ≥ Q > T ≥ S < O ≤ W < X; P ≥ N < Y ≥ Z ≥ V ≥ U ≥ R
On combining:  M ≥ Q > T ≥ S < O ≤ W < X, P ≥ N < Y ≥ Z ≥ V ≥ U ≥ R
Conclusion:
I. M > S → True as it is given that M ≥ Q > T ≥ S.
II. R ≤ X → Not true as there is no definite relation between R and X.
III. Y < V → Not true as it is given that Y ≥ Z ≥ V.
IV. T ≥ O → Not true as it is given that T ≥ S < O therefore there is no definite relation between them
V. T > Y → Not true as there is no definite relation between T and Y.