Practice Questions

15 ÷ 3 × 5 + 20 - 10 × 2

= 5 × 5 + 20 - 10 × 2

= 25 + 20 - 20

= 25

( 1 + 1/2)(1 + 1/3)(1 + 1/4) .............. ( 1 + 1/150) 

= 3/2 × 4/3 × 5/4 × .............. × 151/150

= 151/2

= 75.5

(2 - 1/3)(2 - 3/5)( 2 - 5/7) ................. (2 - 997/999)

= 5/3 × 7/5 × 9/7 × ....... × 1001/999

= 1001/3

(1-1/2)(1-1/3)(1-1/4)..........(1-1/m)

= 1/2 × 2/3 × 3/4 × .................. × {m-1}/m

= 1/m

?% of 800 = 293 - 22% of 750

?% × 800 = 293 - 22/100 × 750

?/100 × 800 = 293 - 165

8 × ? = 128

? = 128/8

= 16

9 × 25 + 1225 + 150 = (?)²

225 + 1225 + 150 = (?)²

? = √1600

? = 40

(390 + 310 – 225) 4 = ?

(700 – 225) 4 = ?

475 × 4 = ?

? = 1900

3.5 × 18 – (?)² = 36 + 2

63 – 38 = (?)²

25 = (?)²

? = 5

1800 ÷ 10 {( 12 – 6) + (24 – 12)}

= 1800 ÷ 10{6 + 12}

= 1800 ÷ 180

= 10

100 – 3 [20 + {50 – 40}]

= 100 - 3[20 + {10}]

= 100 - 3[30]

= 100 - 90

= 10

49 + 64 - 75 ÷ 25 × 36

= 49 + 64 - 3 × 36

= 49 + 64 - 108

= 113 - 108

= 5

12 + (10 - 4) × 2 ÷ 2

= 12 + 6  × 1

= 18

82÷12+2×20-5

'+' means '×' and '÷ 'means '-'

After interchanging signs

82 - 12 × 2 × 20 - 5

82 - 480 - 5

82 - 485

= -403

99 ÷ 24 × 59 × 42 + 3 + 7 = ? 

If  ‘+’ means ‘division’, ‘×’ means ‘minus’, “÷’ means ‘plus’ and ‘-‘ means ‘multiplied

99 ÷ 24 × 59 × 42 + 3 + 7 = ? 

= 99 + 24 - 59 - 42 ÷ 3 ÷ 7

= 99 + 24 - 59 - 2

= 62

40 S 4 R 2 P 19 Q 26

After the interchange of signs: (Using BODMAS)

= 40 ÷ 4 × 2 + 19 - 26

= 10 × 2 + 19 - 26

= 20 + 19 - 26

= 13

164 ÷ 4 × 36 ÷ 12 × 5 + 6 + 9

After interchanging numbers/digits, we get:

164 ÷ 4 × 36 ÷ 6 × 5 + 12 + 9

By using the rule of BODMAS, we get:

= (41 × 6 × 5 + 12 + 9)

= (1230 + 12 + 9)

= 1251

164 ÷ 4 × 36 ÷ 12 × 5 + 6 + 9

= 16 × 3 × 5 + 6 + 9

= 240 + 6 +9

= 255

133.223 + 222.32 + 32.2 + 111.02 = ? 

? = 498.763

235.355 + 533.232 – 555.33 + 333.222 = ? – 55.333
 
⇒ 235.355 + 533.232 – 555.33 + 333.222 + 55.333 = ?
 
⇒ 601.81

12.5% of 4960 + ?% of 2400 = 1580

620 + ? × 24 = 1580

? × 24 = 960

? = 960/24 = 40

?% of 600 – 120 = 8² + 4² 

?/100 × 600 - 120 = 64 + 16

?/100 × 600 - 120  = 80

?/100 × 600 =80+120= 200

?/100 = 200/600 = 1/3

? = 100/3

{(452 – 214 + 72) / 5} × 2 = ?

? = (310 / 5) × 2

? = 62 × 2

? = 124

30% of 150 = 15% of ? + 20% of 180

0.15 × ? + 0.20 × 180 = 0.30 × 150

0.15 × ? + 36 = 45

0.15 × ? = 9

? = 9/0.15

? = 60

√225 + √729 – √324 = 20% of ?

15 + 27 - 18 = 20/100 × ?

24 = 1/5 × ?

? = 24 × 5

= 120

125 + ? + 272 – 391 = 184 – 215 + 169

? + 397 – 391 = 353 – 215

? + 6= 138

?= 138 – 6

? = 132

[{(4608 ÷ 24) ÷ 12} ÷ 4] + 11² + √169 

= [{192 ÷ 12} ÷ 4] + 11² + √169 

= [ 16 ÷ 4 ] + 11² + √169 

= 4 + 121+ 13

= 138

[{(4608 ÷ 24) ÷ 12} ÷ 4] + 112 + √169 

= [{192 ÷ 12} ÷ 4] + 112 + √169 

= [ 16 ÷ 4 ] + 112 + √169 

= 4 + 112 + 13

= 129

221 ÷ 23.6 × 94.4 ÷ 169 ÷ 17 = ? ÷ 91

? = 28

(7770 ÷ 70) + (1500 ÷ 25) + (1008 ÷ 28) + 2152 =


= 111 + 60 + 36 + 2152

= 2359

(12121 ÷ 100) + (42424 ÷ 50) 

= 121.21 + 848.48

= 969.69

(913 + 329 + 522 + 343) / (18 + 24 – X + 18) = 43

X = 11

(5.25 × 6 × 4) ÷ 7 – 2 = ?^2

126/7 - 2 = ?^2

18 - 2 = ?^2

?^2 = 16

? = 4

1/4 × (4856 × 0.5) × 12 =

= 1/4 × 2428 × 12

= 7284

(3/8) × 240 + 160 ÷ 5 = ?

90 + 32 = ?

? = 122

21 + 13 – 196 + 208 = (?)

(?) = 34 + 12

(?) = 46

2% of 1250 – 12.2% of 500 = ? – 87

=> 315 – 61 = ? – 87

=> 254 + 87 = ?

=> 341

1/7 × 168 + 1/3 × 144 = ? + 28 

=> 24 + 48 = ? + 28 

=> 44

120 + 140 ÷ 20 = 254 ÷ ?

=> 120 + 7 = 254 ÷ ?

=> 2

? of 85 + 210 + 5 = 555

=> ? × 85 = 555 – 215

=> 4

35% of 240 – 45% of 80 = ?

84 – 36= ?

? = 48

(3/8) + 2(1/24) + (1/16) = ? * 17/48

(18 + 98 + 3)/48 = ? * 17/48

? = 7

23 ÷ 345 * 468 ÷ 39 * ? = 4

1/15 * 12 * ? = 4

? = 5

35 × 12 + 42 × 32 = ?

420 + 1344 = ?

? = 1764

√(25% of 64 × 16) + 40 

= √(25/100 × 64 × 16) + 40

= √(1/4 × 64 × 16) + 40

= 16 + 40

= 56

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