100+ Logical Reasoning MCQ Online Test - 4
Question: 1
In an imaginary language, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are substituted by a, b, c, d, e, f, g, h, I and j. And 10 is written as ba.
If ‘+’ stands for ‘division’, ‘÷’ stands for ‘multiplication’, ‘x’ stands for ‘subtraction’ and ‘-’ stands for ‘addition’, which one of the following is correct?
(A) 18 ÷ 6 × 7 + 5 - 2 = 22
(B) 18 × 6 + 7 ÷ 5 - 2 = 16
(C) 18 ÷ 6 - 7 + 5 × 2 = 20
(D) 18 + 6 ÷ 7 × 5 - 2 = 18
Ans: D
Using the proper notations in (d), we get the statement as :
18 ÷ 6 × 7 - 5 + 2 = 3 × 7 - 5 + 2 = 21 - 5 + 2 = 18.
Question: 2
If L denotes ÷, M denotes x, P denotes + and Q denotes - , then which of the following statements is true?
(A) 32 P 8 L 16 Q 4 =
(B) 6 M 18 Q 26 L 13 P 7 =
(C) 11 M 34 L 17 Q 8 L 3 =
(D) 9 P P L 9 Q 9 M 9 = - 71
Ans: D
Using the proper notations in (d), we get the statement as :
9 + 9 ÷ - 9 × 9 = 9 + 1 - 9 × 9 = 9 + 1 – 81 = 10 – 81 = - 71.
Question: 3
(cd + ef) × bc is equal to
(A) 684
(B) 816
(C) 916
(D) 1564
Ans: B
Given expression = (23 + 45) × 12 = 68 × 12 = 816.
Question: 4
If L stands for +, M stands for -, N stands for x, P stands for +, then 14 N 10 L 42 P 2 M 8 = ?
(A) 153
(B) 216
(C) 248
(D) 251
Ans: A
Using the proper signs, we get :
Given expression = 14 × 10 + 42 ÷ 2 - 8 = 14 × 10 + 21 – 8
= 140 + 21 - 8 = 161 - 8 = 153.
Question: 5
If - means ÷, + means x, ÷ means -, x means +, then which of the following equations is correct?
(A) 52 ÷ 4 + 5 × 8 - 2 = 36
(B) 43 × 7 ÷ 5 + 4 - 8 = 25
(C) 36 × 4 - 12 + 5 ÷ 3 = 420
(D) 36 - 12 × 6 ÷ 3 + 4 = 60
Ans: A
Using the proper notations in (a), we get the statement as
52 - 4 × 5 + 8 ÷ 2 = 52 - 4 × 5 + 4 = 52 – 20 + 4
= 56 - 20 = 36.
Question: 1
In an imaginary language, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are substituted by a, b, c, d, e, f, g, h, I and j. And 10 is written as ba.
If P denotes +, Q denotes -, R denotes x and S denotes ÷, which of the following statements is correct?
(A) 36 R 4 S 8 Q 7 P 4 = 10
(B) 16 R 12 P 49 S 7 Q 9 = 200
(C) 32 S 8 R 9 = 160 Q 12 R 12
(D) 8 R 8 P S 8 Q 8 = 57
Using the proper notations in (d), we get the statement as
8 × 8 + 8 ÷ 8 = 8 × 8 + 1 - 8 = 64 + 1 - 8 = 65 - 8 = 57.
Question: 2
baf ÷ bf × d is equal to
(A) df
(B) cb
(C) be
(D) d
Ans: B
Given expression = 105 ÷ 15 × 3 = 7 × 3 = 21 = cb.
Question: 3
If ‘-’ stands for ‘division’, ‘+’ for ‘multiplication’, ‘÷’ for ‘subtraction’ and ‘x’ for ‘addition’ then when one of the following equations is correct?
(A) 4 × 5 + 9 - 3 ÷ 4 = 15
(B) 4 × 5 × 9 + 3 ÷ 4 = 11
(C) 4 - 5 ÷ 9 × 3 - 4 = 17
(D) 4 ÷ 5 + 9 - 3 + 4 = 18
Ans: A
Using the proper notations in (a), we get the statement as
4 + 5 × 9 ÷ 3 - 4 = 4 + 5 × 3 - 4 = 4 + 15 - 4 = 15.
Question: 4
dc × f - (bf - d) × d is equal to
(A) abb
(B) abe
(C) bce
(D) bcf
Ans: C
Given expression = 32 × 5 - (15 - 3) × 3
= 160 - 12 × 3 = 160 - 36 = 124 = bce.
Question: 5
bee + fg - (ca × h/be) is equal to
(A) bhc
(B) bic
(C) bib
(D) bja
Ans: D
Given expression = 144 + 56 -
= 144 + 56 - (20 ÷ 2) = 144 + 56 - 10
= 190 = bja.
Question: 1
In each of the following questions, the two expressions on either side of the sign (=) will have the same value if two terms on either side or on the same side are interchanged.
6 × 3 + 8 ÷ 2 - 1 = 9 – 8 ÷ 4 + 5 7times; 2
(A) 3, 4
(B) 3, 5
(C) 6, 9
(D) 9, 5
Ans: D
On interchanging 6 and 4 on L.H.S., we get the statement as :
6 × 3 + 8 ÷ 2 - 1 = 5 - 8 ÷ 4 + 9 × 2 or 18 + 4 – 1 = 5 – 2 + 18 or 21 = 21, which is true.
Question: 2
In each of the following questions, the two expressions on either side of the sign (=) will have the same value if two terms on either side or on the same side are interchanged.
5 + 3 × 6 - 4 ÷ 2 = 4 × 3 - 10 ÷ 2 + 7
(A) 4, 7
(B) 5, 7
(C) 6, 4
(D) 6, 10
Ans: C
On interchanging 6 and 4 on L.H.S., we get the statement as :
5 + 3 × 4 - 6 ÷ 2 = 4 × 3 - 10 ÷ 2 + 7 or 5 + 12 - 3 = 12 - 5 + 7 = or 14 = 14 which is true.
Question: 3
In each of the following questions, the two expressions on either side of the sign (=) will have the same value if two terms on either side or on the same side are interchanged.
8 ÷ 2 × 5 - 11 + 9 = 6 × 2 – 5 + 4 ÷ 2
(A) 5, 9
(B) 8, 5
(C) 9, 6
(D) 11, 5
Ans: C
On interchanging 6 and 4 on L.H.S., we get the statement as :
8 ÷ 2 × 5 – 11 + 6 = 9 × 2 – 5 + 4 ÷ 2 or 4 × 5 – 11 + 6 = 18 – 5 + 2 or 15 = 15, which is true.
Question: 4
In each of the following questions, the two expressions on either side of the sign (=) will have the same value if two terms on either side or on the same side are interchanged.
7 × 2 - 3 + 8 ÷ 4 = 5 + 6 × 2 - 24 ÷ 3
(A) 2, 6
(B) 6, 5
(C) 3, 24
(D) 7, 6
Ans: D
On interchanging 6 and 4 on L.H.S., we get the statement as :
6 × 2 - 3 + 8 ÷ 4 = 5 + 7 × 2 - 24 ÷ 3 or 12 - 3 + 2 = 5 + 14 - 8 or 11 = 11, which is true.
Question: 5
In each of the following questions, the two expressions on either side of the sign (=) will have the same value if two terms on either side or on the same side are interchanged.
15 + 3 × 4 - 8 ÷ 2 = 8 × 5 + 16 ÷ 2 - 1
(A) 3, 5
(B) 15, 5
(C) 15, 16
(D) 3, 1
Ans: A
On interchanging 6 and 4 on L.H.S., we get the statement as :
15 + 5 × 4 - 8 ÷ 2 = 8 × 3 + 16 ÷ 2 - 1 or 15 + 20 - 4 = 24 + 8 - 1 or 31 = 31, which is true.
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