PE 1 - Mathematical Operations | Mathematical Operations
If '+' means '×', '–' means '÷', '×' means '-' and '÷' means '+', then what will be the value of the following expression?
24 + 37 – 4 × 5 ÷ 2
- A.
40
- B.
219
- C.
222
- D.
None of these
Answer: Option B
Explanation :
Given, 24 + 37 – 4 × 5 ÷ 2
= 24 × 37 ÷ 4 - 5 + 2
= 24 × - 5 + 2
= 222 – 5 + 2
= 224 – 5 = 219
Hence, option (b).
Workspace:
If '×' means '–', '–' means '÷', '+' means '×' and '÷' means '+', then what will be the value of the following expression?
16 – 8 + 4 ÷ 3 × 9 = ?
- A.
10
- B.
19
- C.
2
- D.
9
Answer: Option C
Explanation :
Given, 16 – 8 + 4 ÷ 3 × 9
= 16 ÷ 8 × 4 + 3 – 9
= 2 × 4 + 3 - 9
= 8 + 3 – 9
= 11 – 9 = 2
Hence, option (c).
Workspace:
If the mathematical operator ‘÷’ means ‘×’, ‘+’ means ‘-’, ‘×’ means ‘+’ and ‘-’ means ‘÷’, then
25 + 18 – 3 × 7 ÷ 3 = ?
- A.
25
- B.
21
- C.
19
- D.
40
Answer: Option D
Explanation :
Given, 25 + 18 – 3 × 7 ÷ 3
= 25 - 18 ÷ 3 + 7 × 3
= 25 – 6 + 7 × 3
= 25 – 6 + 21
= 46 – 6 = 40
Hence, option (d).
Workspace:
7 × 5 × 4 = 57354, 8 × 7 × 3 = 78563, then 4 × 8 × 5 =?
- A.
84405
- B.
84855
- C.
48325
- D.
84325
Answer: Option D
Explanation :
In the final numbers, the first two digits interchange positions, then we have the product of first two digits and then finally the last digit.
and
Hence, option (d).
Workspace:
a = 4 (369) 9, b = 6 (246) 4, c = 9 (?) 5
- A.
459
- B.
954
- C.
450
- D.
154
Answer: Option A
Explanation :
4 × 9 = 36 ; 3 + 6 = 9 ⇒ 369
6 × 4 = 24; 2 + 4 = 6 ⇒ 246
⇒ 9 × 5 = 45; 4 + 5 = 9 ⇒ 459
Hence, option (a).
Workspace:
Which one of the following is correct?
6 * 3 * 4 * 5
- A.
÷, +, <
- B.
÷, <, +
- C.
<, ÷, +
- D.
+, <, ÷
Answer: Option B
Explanation :
6 ÷ 3 < 4 + 5
⇒ 2 > 9 is correct.
Hence, option (b).
Workspace:
Some equations are solved on the basis of certain systems. On the same basis find out the correct answer for the unsolved equation.
If 13 × 12 = 651 and 41 × 23 = 448, then 24 × 21 = ?
- A.
504
- B.
46
- C.
528
- D.
924
Answer: Option A
Explanation :
13 × 12 ⇒ 31 × 21 = 651
41 × 23 ⇒ 14 × 32 = 448
Similarly,
24 × 21 ⇒ 42 × 21 = 504
Hence, option (a).
Workspace:
If > = ÷, ∨ = ×, < = +, ∧ = –, + = =, × = <, – = > then which of the following is correct.
- A.
6 > 2 > 3 ∧ 8 ∨ 4 + 12
- B.
6 ∧ 2 < 3 > 8 < 4 - 12
- C.
6 ∨ 2 < 3 ∧ 8 > 4 × 14
- D.
6 > 2 ∨ 3 < 8 ∧ 4 + 14
Answer: Option C
Explanation :
Option (a): 6 > 2 > 3 ^ 8 ∨ 4 + 12
⇒ 6 ÷ 2 ÷ 3 – 8 × 4 = 12
⇒ 1 – 32 ≠ 12
Option (b): 6 ^ 2 < 3 > 8 < 4 – 12
⇒ 6 – 2 + 3/8 + 4 > 12
⇒ (48 - 16 + 3 + 32)/8 > 12
⇒ 67/8 > 12
Option (c): 6 ∨ 2 < 3 ^ 8 > 4 × 14
⇒ 6 × 2 + 3 – 8 ÷ 4 < 14
⇒ 12 + 3 – 2 < 14
⇒ 13 < 14
Option (d): 6 > 2 V 3 < 8 ^ 4 + 14
⇒ 6 ÷ 2 × 3 + 8 – 4 = 14
⇒ 3 × 3 + 8 – 4 = 14
⇒ 9 + 8 – 4 ≠ 14
Hence, option (c).
Workspace:
Which one of the following is incorrect?
96 * 6 * 8 * 2
- A.
÷, =, ×
- B.
=, × , ×
- C.
÷, >, -
- D.
=, ×, ÷
Answer: Option D
Explanation :
Option (a): 96 ÷ 6 = 8 × 2
⇒ 16 = 16
Option (b): 96 = 6 × 8 × 2
⇒ 96 = 96
Option (c): 96 ÷ 6 > 8 - 2
⇒ 16 > 6
Option (d): 96 = 6 × 8 ÷ 2
⇒ 96 ≠ 24
Hence, option (d).
Workspace:
If A means '+', B means '-', C means '×' and D means '÷', then
18 C 14 A 6 B 16 D 4 = ?
- A.
254
- B.
238
- C.
188
- D.
258
Answer: Option A
Explanation :
Given, 18 C 14 A 6 B 16 D 4 = ?
= 18 × 14 + 6 - 16 ÷ 4
= 252 + 6 - 4
= 254
Hence, option (a).
Workspace:
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