Mathematical Operations(Reasoning Aptitude ) Questions and answers for exam Preparation

Reasoning Aptitude

MATHEMATICAL OPERATIONS MCQs

Total Questions : 233 | Page 6 of 24 pages

Question 51. If P means 'division', T means 'addition', M means ‘subtraction' and D means 'multiplication', then what will be the value of the expression

12 M 12 D 28 P 7 T 15?

Discuss Question

Answer: Option E. -> None of these
Answer: (e)
Using the correct symbols,
we have: Given expression
= 12 - 12 x 28 ÷ 7 + 15
= 12 - 12 x 4 + 15
= 12 - 48 + 15
= 27 - 48 = -21.

Question 52. If ‘+' stands for 'division', ‘÷' stands for ‘multiplication', ‘x’ stands for 'subtraction' and ‘-’ stands for 'addition' which one of the following is correct?

18 ÷6 x 7 + 5 - 2 = 22
18 x 6 + 7 ÷ 5 - 2 = 16
18 ÷6 -7 + 5 x 2 = 20
18 + 6 ÷ 7 x 5 - 2 = 18

Discuss Question

Answer: Option D. -> 18 + 6 ÷ 7 x 5 - 2 = 18
Answer: (d)
Using the proper notations in (d),
we get the statement as:
18 ÷ 6 x 7 - 5 + 2
= 3 x 7-5 + 2
= 21 - 5 + 2 = 18.

Question 53. If ‘x’ stands for 'addition', ‘<’ for 'subtraction', ‘+’ for 'division', ‘>’ for 'multiplication', ‘-’ for 'equal to', ‘÷' for 'greater than' and ‘=’ for ‘less than', then state which of the following is true?

3 x 4 > 2 -9 + 3 < 3
5 x 3 < 7 ÷ 8+ 4 x 1
5 > 2 + 2 = 10 < 4 x 8
3x 2 < 4 ÷ 16 > 2 + 4

Discuss Question

Answer: Option C. -> 5 > 2 + 2 = 10 < 4 x 8
Answer: (c)
Using the proper notations in (c),
we get the statement as:
5 x 2 ÷ 2 < 10 - 4 + 8
or 5 x 1< 18 - 4
or 5 < 14,
which is true.

Question 54. If ‘when' means ‘x', 'you' means ‘÷', 'come' means ‘-’and 'will' means ‘+’, then what will be the value of "8 when 12 will 16 you 2 come 10"?

Discuss Question

Answer: Option B. -> 94
Answer: (b)
Using the correct symbols,
we have: Given expression
= 8 x 12 + 16 ÷ 2 - 10
= 96 + 8 - 10
= 104 - 10 = 94.

Question 55. In the following questions, the symbols, @, ©, *, $ and # are used with the following meanings:'P@Q' means 'P is neither smaller than nor equal to Q'.'P©Q' means 'P is not smaller than Q'.'P*Q' means 'P is not greater than Q'.'P$Q' means 'P is neither smaller than nor greater than Q'.'P#Q' means 'P is neither greater than nor equal to Q'.Statements: Z # N, F © N, F * KConclusions: I. K $ N II. K @ Z

if only conclusion I is true.
if only conclusion II is true.
if either conclusion I or II is true.
if neither conclusion I nor II is true.
if both the conclusions I and II are true.

Discuss Question

Answer: Option B. -> if only conclusion II is true.

Z < N -- (i); F â‰¥ N -- (ii); F â‰¤ K -- (iii)Combining all, we get:K â‰¥ F â‰¥ N > Z => K â‰¥ N and K > Z.Hence, conclusion I (K = N) is not necessarily true but conclusion II (K > Z) is true.

Question 56. In the following questions, the symbols, @, ©, *, $ and # are used with the following meanings:'P@Q' means 'P is neither smaller than nor equal to Q'.'P©Q' means 'P is not smaller than Q'.'P*Q' means 'P is not greater than Q'.'P$Q' means 'P is neither smaller than nor greater than Q'.'P#Q' means 'P is neither greater than nor equal to Q'.Statements: J *M, M $ N, n # TConclusions: I. T @ J II. T $ J

if only conclusion I is true.
if only conclusion II is true.
if either conclusion I or II is true.
if neither conclusion I nor II is true.
if both the conclusions I and II are true.

Discuss Question

Answer: Option A. -> if only conclusion I is true.

J â‰¤ M -- (i); M = N -- (ii); N < T -- (iii)Combining all, we get:J â‰¥ M = N < T => T > NHence, only conclusion I is true.

Question 57. In the following questions, the symbols, @, ©, *, $ and # are used with the following meanings:'P@Q' means 'P is neither smaller than nor equal to Q'.'P©Q' means 'P is not smaller than Q'.'P*Q' means 'P is not greater than Q'.'P$Q' means 'P is neither smaller than nor greater than Q'.'P#Q' means 'P is neither greater than nor equal to Q'.Statements: W © A, B * A, B @ MConclusions: I. B # W II. W $ B

if only conclusion I is true.
if only conclusion II is true.
if either conclusion I or II is true.
if neither conclusion I nor II is true.
if both the conclusions I and II are true.

Discuss Question

Answer: Option C. -> if either conclusion I or II is true.

W â‰¥ A -- (i); B â‰¤ A -- (ii); B > M -- (iii)Combining all, we get;W â‰¥ A â‰¥ B > M => B â‰¤ W=> B = WHence, either conclusion I or II is true.

Question 58. In the following questions, the symbols, @, ©, *, $ and # are used with the following meanings:'P@Q' means 'P is neither smaller than nor equal to Q'.'P©Q' means 'P is not smaller than Q'.'P*Q' means 'P is not greater than Q'.'P$Q' means 'P is neither smaller than nor greater than Q'.'P#Q' means 'P is neither greater than nor equal to Q'.Statements: D $ T, T © M, M # KConclusions: I. M $ D II. D @ M

if only conclusion I is true.
if only conclusion II is true.
if either conclusion I or II is true.
if neither conclusion I nor II is true.
if both the conclusions I and II are true.

Discuss Question

Answer: Option C. -> if either conclusion I or II is true.

D = T -- (i); T â‰¥ M -- (ii); M < K -- (iii)Combining (i) and (ii), we get;D = T â‰¥ M => D â‰¥ M => D = M or D > MHence, either conclusion I (M = D) or conclusion II (D > M) is true.

Question 59. In the following questions, the symbols, @, ©, *, $ and # are used with the following meanings:'P@Q' means 'P is neither smaller than nor equal to Q'.'P©Q' means 'P is not smaller than Q'.'P*Q' means 'P is not greater than Q'.'P$Q' means 'P is neither smaller than nor greater than Q'.'P#Q' means 'P is neither greater than nor equal to Q'.Statements: V * F, F @ R, R © GConclusions: I. G # V II. G @ V

if only conclusion I is true.
if only conclusion II is true.
if either conclusion I or II is true.
if neither conclusion I nor II is true.
if both the conclusions I and II are true.

Discuss Question

Answer: Option D. -> if neither conclusion I nor II is true.

V â‰¤ F -- (i); F > R -- (ii); R â‰¥ G -- (iii)Combining (ii) and (iii), we get F > R â‰¥ G -- (iv)Comparing (i) and (iv), we can't get

Question 60. In these questions, certain symbols have been used to indicate relationships between elements follows:'A*B' means 'A is either equal to or greater than B'.'A$B' means 'A is equal to B'.'A£B' means 'A is either equal to or smaller than B'.'A&B' means 'A is smaller than B'.'A@B' means 'A is greater than B'.Statements: S * K, T & K, K * BConclusions: I. S $ B II. S @ B

if only conclusion I is true.
if only conclusion II is true.
if either conclusion I or II is true.
if neither conclusion I nor II is true.
if both the conclusions I and II are true.

Discuss Question

Answer: Option C. -> if either conclusion I or II is true.

S â‰¥ K -- (i); T < K -- (ii); K â‰¥ B -- (iii)Combining (i) and (iii), we get:S â‰¥ K â‰¥ B. Hence, S > B or S = B. Therefore either conclusion I or II is true.