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Reasoning Aptitude

MATHEMATICAL OPERATIONS MCQs

Total Questions : 233 | Page 17 of 24 pages
Question 161. In the questions given below, certain symbols are used with the following meanings:'A@B' means 'A is greater than B'.'A*B' means 'A is either greater than or equal to B'.'A#B' means 'A is equal to B'.'A$B' means 'A is either smaller than or equal to B'.'A+B' means 'A is smaller than B'.Statements: E * F, G $ H, H # E, G @ KConclusions: I. H @ K    II. H * F
  1.    if only conclusion I is true.
  2.    if only conclusion II is true.
  3.    if either conclusion I or II is true.
  4.    if neither conclusion I nor II is true.
  5.    if both the conclusions I and II are true.
 Discuss Question
Answer: Option E. -> if both the conclusions I and II are true.


E ≥ F -- (i); G ≤ H -- (ii); H = E -- (iii); G > K -- (iv)From (ii) and (iv), we get, H â‰¥ G > K => H > K. Hence, I is true.From (i) and (iii), we get, H = E â‰¥ F => H â‰¥ F.Hence, II is true.


Question 162. In the questions given below, certain symbols are used with the following meanings:'A@B' means 'A is greater than B'.'A*B' means 'A is either greater than or equal to B'.'A#B' means 'A is equal to B'.'A$B' means 'A is either smaller than or equal to B'.'A+B' means 'A is smaller than B'.Statements: P $ Q, N # M, M @ R, R * PConclusions: !. P + N   II Q $ M
  1.    if only conclusion I is true.
  2.    if only conclusion II is true.
  3.    if either conclusion I or II is true.
  4.    if neither conclusion I nor II is true.
  5.    if both the conclusions I and II are true.
 Discuss Question
Answer: Option A. -> if only conclusion I is true.


P ≤ Q -- (i); N = M -- (ii); M > R -- (iii); R ≥ P -- (iv)From (ii), (iii) and (iv), we get N = M > R â‰¥ P=> N > P or P < N. Hence, I is true.From (ii), (iv) and (i), we get, M > R â‰¥ P â‰¤ Q => No conclusion about the relationship between M and Q can be established.


Question 163. In the questions given below, certain symbols are used with the following meanings:'A@B' means 'A is greater than B'.'A*B' means 'A is either greater than or equal to B'.'A#B' means 'A is equal to B'.'A$B' means 'A is either smaller than or equal to B'.'A+B' means 'A is smaller than B'.Statements: T * U, U $ W, V @ L, W + VConclusions: I. V @ T   II. L @ W
  1.    if only conclusion I is true.
  2.    if only conclusion II is true.
  3.    if either conclusion I or II is true.
  4.    if neither conclusion I nor II is true.
  5.    if both the conclusions I and II are true.
 Discuss Question
Answer: Option D. -> if neither conclusion I nor II is true.


-NA-


Question 164. In the questions given below, certain symbols are used with the following meanings:'A@B' means 'A is greater than B'.'A*B' means 'A is either greater than or equal to B'.'A#B' means 'A is equal to B'.'A$B' means 'A is either smaller than or equal to B'.'A+B' means 'A is smaller than B'.Statements: D + T, E $ V, F * T, E @ DConclusions: I. D $ V  II. D + F
  1.    if only conclusion I is true.
  2.    if only conclusion II is true.
  3.    if either conclusion I or II is true.
  4.    if neither conclusion I nor II is true.
  5.    if both the conclusions I and II are true.
 Discuss Question
Answer: Option B. -> if only conclusion II is true.


-NA-


Question 165. A sum of Rs.1890 has to be used to give 9 prizes to the customers of a super market for their overall academic purchases. If each prize is Rs.30 less than its preceding price, what is the least value of the price ?
  1.    90
  2.    95
  3.    80
  4.    85
 Discuss Question
Answer: Option A. -> 90




Question 166. The value of -4-(-10) is how much greater then the value of -10-(-4) ?
  1.    10
  2.    6
  3.    12
  4.    0
 Discuss Question
Answer: Option C. -> 12




Question 167. In a group of buffaloes and ducks the number of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group?
  1.    6
  2.    18
  3.    12
  4.    24
 Discuss Question
Answer: Option C. -> 12




Question 168. If × means ÷, - means ×, ÷ means + and + means- than (3 - 15 ÷ 19) × 8 + 6 = ?
  1.    8
  2.    4
  3.    2
  4.    -1
 Discuss Question
Answer: Option C. -> 2




Question 169. The solution of 3(2u + v) = 7 uv and 3(u + 3v) = 11 uv is _____
  1.    u = 1, v = 0
  2.    u = 1, v = 3/2
  3.    u = 0, v = 3/4
  4.    u = 0, v = 1
 Discuss Question
Answer: Option B. -> u = 1, v = 3/2




Question 170. In the following questions, symbols #, $, @, * and © are used with the following meaning as illustrated below:'P#Q' means 'P is not smaller than Q'.'P$Q' means 'P is neither smaller than nor greater than Q'.'P@Q' means 'P is neither greater than nor equal to Q'.'P*Q' means 'P is not greater than Q'.'P©Q' means 'P is neither smaller than nor equal to Q'.Statements: M © R, R @ K, K $ TConclusions: I. T © R   II. T © M
  1.    if only conclusion I is true.
  2.    if only conclusion II is true.
  3.    if either conclusion I or II is true.
  4.    if neither conclusion I nor II is true.
  5.    if both the conclusions I and II are true.
 Discuss Question
Answer: Option A. -> if only conclusion I is true.


M > R -- (i); R > K -- (ii); K = T -- (iii)combining (ii) and (iii), we get:K = T > R=> T > R (conclusion I).On the basis of the given information no specific relation can be obtained between T and M. Hence T > M (conclusion II) is not true.


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