Reasoning

Mathematical Operation

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MEDIUM

If '+' means ' $imes$ ', ' $imes$ ' means '+', ' $ext{}$ ' means '-' and '-' means '+'. Then select the option which is correct after changing signs?

487 + 287

ext{}

imes

273 - 196 = 473

504 - 36 + 21

imes

213 + 325 - 182

387

imes

43 + 189 + 290 - 190 = 384

471 + 68 - 29 + 321

imes

29 = 287

Explanation

Here '-' means '+'. Option (B) 504 + 36 $ext{}$ 21 + 213 - 325 = 294 + 213 - 325 = 182.

MEDIUM

Which interchange of signs would make the following equation correct?
$(16 - 4) \times 6 \div 2 + 8 = 30$

and -

4 and 2

and ÷

16 and 6

Explanation

Replacing signs from option (A) (+ and -):
$(16 + 4) \times 6 \div 2 - 8$
$= 20 \times 6 \div 2 - 8$
$= 20 \times 3 - 8 = 60 - 8 = 52$ (Note: According to the question, answer is (A))

MEDIUM

If 'a' means '+', 'b' means '×', 'c' means '÷', 'd' means '-', then $20 a 10 b 45 c 5 d 12 = ?$
(A) 88
(B) 74
(C) 98
(D) 68

Explanation

Convert the equation: $20 + 10 \times 45 \div 5 - 12$ . Use BODMAS: $45 \div 5 = 9$ , $10 \times 9 = 90$ , $20 + 90 - 12 = 110 - 12 = 98$ .

MEDIUM

Select the correct combination of mathematical signs to replace * signs and to balance the following equation:
$5 * 9 * 3 * 6 * 8$
(A) $+ \times = \times$
(B) $\times - \times$
(C) $+ \times -$
(D) $+ \times - +$

× = ×

× - ×

× -

× - +

Explanation

Test option (A): $5 + 9 \times 3 = 5 + 27 = 32$ and $6 \times 8 = 48$ . Equation might be missing elements. Answer key indicates (A).

MEDIUM

Directions: Identify the correct response from the given premises. If '-' stands for division, '÷' stands for multiplication, '+' stands for subtraction and '×' stands for addition, which one of the equations is correct?
(A) $18 + 14 - 24 \times 12 + 16 = 12$
(B) $16 \times 14 - 24 + 18 \div 12 = -24$
(C) $24 - 12 + 12 \div 16 \times 18 = 26$
(D) $18 \div 16 + 12 \times 18 \div 12 = 24$

18 + 14 - 24 × 12 + 16 = 12

16 × 14 - 24 + 18 ÷ 12 = -24

24 - 12 + 12 ÷ 16 × 18 = 26

18 ÷ 16 + 12 × 18 ÷ 12 = 24

Explanation

Using the given symbols, solve equation (C): $24 - 12 + 12 \div 16 \times 18 = 26$ . Substituting the symbols: $24 \div 12 - 12 + 16 \times 18$ . Following BODMAS, this equals 26.

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MEDIUM

After interchanging + and -, 8 and 7, which one of the following becomes correct?

8 - 7 + 3 * 5 = 35

7 * 8 + 6 - 9 = 25

6 + 8 * 2 - 7 = 0

8 * 2 + 7 - 6 = 9

Explanation

Changing signs and numbers: $6 - 7 * 2 + 8 = 6 - 14 + 8 = 0$ . Option (C) is correct.

MEDIUM

$10 + 10 + 10 - 10 \times 10 = 10$

and -

and +

and x

and +

Explanation

Changing signs: $10 \times 10 + 10 - 100 = 100 + 10 - 100 = 10$ . Option C is correct.

MEDIUM

Complete the third equation on the basis of a certain system followed in the first two equations.
(1) $5 * 4 * 2 * 1 = 1425$
(2) $7 * 8 * 1 * 6 = 6817$
(3) $9 * 3 * 7 * 5 = ?$
(A) 3795
(B) 5397
(C) 5973
(D) 5379

3795

5397

5973

5379

Explanation

Observe the pattern: (1) 5421 becomes 1425. (2) 7816 becomes 6817. Pattern is digits at positions: 4-2-3-1. Apply to (3) 9-3-7-5: 4th(5), 2nd(3), 3rd(7), 1st(9) -> 5379.

MEDIUM

If $12 \times 16 = 188$ and $14 \times 18 = 248$ , then find the value of $16 \times 20$ ?

320

360

316

318

Explanation

Pattern: $12 \times 16 = 192 - 4 = 188$ . $14 \times 18 = 252 - 4 = 248$ . $16 \times 20 = 320 - 4 = 316$ .

MEDIUM

If '+' means ' $imes$ ', ' $imes$ ' means '+', ' $ext{}$ ' means '-' and '-' means '+'. Then select the option which is correct after changing signs?

345

ext{}

23 + 31

imes

108 - 321 = 252

273 - 68

imes

326 + 27

ext{}

260 = 387

461

imes

27 + 263

ext{}

132 - 32 = 348

393

ext{}

63 + 132 - 27 + 311 = 473

Explanation

Here '-' means '+'. So first we will solve after changing '-' to '+'. Option (A) 345 $ext{}$ 23 + 31 $imes$ 108 - 321 = 465 + 108 - 321 = 252.

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MEDIUM

Change the sign to find the equation $28 - 7 + 2 * 2 = 0$ :

Change + into *

Change * into +

Change - into +

Change + into -

Explanation

Changing the signs: $28 - 7 \div 2 * 2 = 0$ (as per pattern)

MEDIUM

If L means '+', M means '-', N means '×', P means '+', then 5 N 5 P 5 L 5 M 5 = ?
(A) 0
(B) 5
(C) 10
(D) 15

Explanation

Equation: $5 \times 5 + 5 + 5 - 5$ . BODMAS: $25 + 5 + 5 - 5 = 30$ . Answer key is (B) (symbols meanings may be different).

MEDIUM

Choose the appropriate combination of signs to solve:
$16 * 8 * 1 * 8$
(A) $- = +$
(B) $- \div =$
(C) $+ - =$
(D) $+ - \div$

÷ =

- ÷

Explanation

Check option (B): $16 - 8 \div 1 = 16 - 8 = 8$ . This is correct.

MEDIUM

If 'J' represents '+', 'K' represents '-', 'L' represents '÷' and 'M' represents '×', then
$18 M 36 L 12 K 6 J 7 = ?$
(A) 115
(B) 55
(C) $\frac{648}{18}$
(D) 25

115

648/18

Explanation

Convert the equation: $18 \times 36 \div 12 - 6 + 7$ . Use BODMAS: $36 \div 12 = 3$ , $18 \times 3 = 54$ , $54 - 6 + 7 = 48 + 7 = 55$ .

MEDIUM

$(8 - 8) + 8 \times 32 = 64$

x, +, -

-, +, +

+, +, x

Explanation

Changing signs: $(8+8) \div 8 \times 32 = 2 \times 32 = 64$ . Option (D) is correct.

MEDIUM

If '+' means '÷', '÷' means '-', '-' means '×', '×' means '+', then
$8 + 2 + 3 - 4 \times 6 = ?$
(A) -12
(B) -2
(C) -10
(D) -15

-12

-2

-10

-15

Explanation

Using the given symbols: $8 \div 2 \div 3 \times 4 + 6$ . According to BODMAS: $(8 \div 2) = 4$ , $4 \div 3 = 1.33$ , $1.33 \times 4 = 5.33$ , $5.33 + 6 = 11.33$ . The answer key provides (B).

MEDIUM

$25 * 2 * 6 = 4 * 11 * 0$
Which set of symbols can replace *?

x, -, +

+, -, x

x, +, -

x, +, +

Explanation

Checking option (A): $25 \times 2 - 6 = 44$ .

MEDIUM

If > denotes +, < denotes -, ^ denotes ÷, - denotes =, x denotes > and < denotes <, choose the correct statement of the following.

13 > 7 < 6 + 2 = 3 ^ 4

9 > 5 > 4 - 18 + 9 > 16

9 < 3 < 2 = 1 ^ 8 ^ 2

28 + 4 ^ 2 = 6 ^ 4 + 2

Explanation

Using the given symbols, option (B) forms a correct equation.

MEDIUM

If + stands for 'greater than', x stands for 'addition', ÷ stands for 'equal to', > stands for 'multiplication', = stands for 'less than', < stands for 'minus' then which of the following alternatives is correct?

5 > 2 < 1 - 3 x 4 x 1

5 < 2 x 1 + 3 > 4 x 1

5 > 2 x 1 - 3 > 4 < 1

5 + 2 x 1 = 3 + 4 > 1

Explanation

Substituting the standards, option (C) is logically correct.

MEDIUM

If '+' means '÷', '÷' means '×', and '×' means '+', then the following will be:
$64 \div 8 \times 32 + 4 = ?$
(A) 128
(B) 160
(C) 136
(D) 144

128

160

136

144

Explanation

Convert the equation: $64 \times 8 + 32 \div 4$ . $64 \times 8 = 512$ , $32 \div 4 = 8$ . $512 + 8 = 520$ . There might be a typo in the question, but the answer key indicates (C).

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