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Simplification Practice Question

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First try this : 100 Basic BODMAS Calculation Questions with Answers for SSC, Railway, Banking & Competitive Exams

Questions 251–260

251. 48 ÷ 6 × 7 + 36 ÷ 9 × 5 − 18 = ?

A. 54
B. 58
C. 62
D. 66

Answer: B. 58


252. 25 + [36 ÷ {3 × (5 − 2)}] × 8 = ?

A. 49
B. 53
C. 57
D. 61

Answer: C. 57


253. (3/5) × 250 + (7/8) × 160 − (2/3) × 90 = ?

A. 220
B. 230
C. 240
D. 250

Answer: B. 230


254. 15^2 − 12^2 + 8^2 − 5^2 = ?

A. 110
B. 115
C. 120
D. 125

Answer: C. 120


255. √576 + √324 − √144 + √100 = ?

A. 36
B. 38
C. 40
D. 42

Answer: C. 40


256. 2^5 + 3^3 − 4^2 + 5^2 = ?

A. 64
B. 66
C. 68
D. 70

Answer: C. 68


257. {72 ÷ [3 × (8 − 4)]} × 15 + 10 = ?

A. 90
B. 95
C. 100
D. 105

Answer: C. 100


258. 40% of 450 + 25% of 320 − 12.5% of 160 = ?

A. 220
B. 230
C. 240
D. 250

Answer: C. 240


259. 7.5 × 8 + 2.5 × 12 − 0.5 × 20 = ?

A. 70
B. 75
C. 80
D. 85

Answer: C. 80


260. (5/6) × 144 − (3/4) × 80 + (2/5) × 100 = ?

A. 90
B. 100
C. 110
D. 120

Answer: B. 100


Questions 261–270

261. [(18 + 12) × 4 − 72] ÷ 6 = ?

A. 6
B. 8
C. 10
D. 12

Answer: B. 8


262. {5^2 + 3^3 − (2^4 + 12)} × 2 = ?

A. 44
B. 46
C. 48
D. 50

Answer: C. 48


263. √625 × √64 ÷ √100 = ?

A. 15
B. 20
C. 25
D. 30

Answer: B. 20


264. 125% of 240 − 75% of 160 = ?

A. 160
B. 170
C. 180
D. 190

Answer: C. 180


265. 0.75 × 240 + 1.25 × 80 − 2.5 × 20 = ?

A. 210
B. 220
C. 230
D. 240

Answer: C. 230


266. [(3/4) + (5/6) − (7/12)] × 120 = ?

A. 100
B. 110
C. 120
D. 130

Answer: C. 120


267. {96 ÷ (4 × 3)}^2 + 36 = ?

A. 90
B. 96
C. 100
D. 108

Answer: C. 100


268. 18 × 7 − 14 × 5 + 96 ÷ 8 = ?

A. 64
B. 66
C. 68
D. 70

Answer: C. 68


269. √2025 − √625 + √400 = ?

A. 35
B. 40
C. 45
D. 50

Answer: B. 40


270. 35% of 400 + 45% of 200 − 30% of 100 = ?

A. 190
B. 195
C. 200
D. 205

Answer: C. 200


Questions 271–280

271. 3^4 ÷ 3^2 + 2^5 ÷ 2^2 + 5^2 = ?

A. 40
B. 42
C. 44
D. 46

Answer: B. 42


272. {144 ÷ [6 + (18 ÷ 3)]} × 7 = ?

A. 77
B. 80
C. 84
D. 91

Answer: C. 84


273. (5/8) × 256 − (7/10) × 100 + 35 = ?

A. 115
B. 120
C. 125
D. 130

Answer: C. 125


274. (√784 + √196) ÷ 7 × 5 = ?

A. 25
B. 30
C. 35
D. 40

Answer: B. 30


275. 2.4 × 25 + 3.6 × 15 − 1.8 × 30 = ?

A. 54
B. 58
C. 60
D. 64

Answer: C. 60


276. 62.5% of 320 + 37.5% of 240 = ?

A. 270
B. 280
C. 290
D. 300

Answer: C. 290


277. [5 × {8 + (24 ÷ 6)} − 32] ÷ 4 = ?

A. 5
B. 6
C. 7
D. 8

Answer: C. 7


278. (7/9) × 243 + (5/12) × 144 − (3/8) × 160 = ?

A. 180
B. 185
C. 189
D. 195

Answer: C. 189


279. √1296 ÷ 6 + √900 ÷ 5 + √484 ÷ 11 = ?

A. 12
B. 13
C. 14
D. 15

Answer: C. 14


280. (15^2 − 9^2) ÷ 12 + (8^2 − 4^2) ÷ 8 = ?

A. 16
B. 17
C. 18
D. 19

Answer: C. 18


Questions 281–290

281. 150% of 180 − 80% of 200 + 25% of 120 = ?

A. 130
B. 140
C. 150
D. 160

Answer: B. 140


282. {4^3 + 3^3 − 5^2} ÷ 3 = ?

A. 20
B. 21
C. 22
D. 23

Answer: C. 22


283. 6.25 × 16 + 3.75 × 8 − 2.5 × 12 = ?

A. 90
B. 95
C. 100
D. 105

Answer: C. 100


284. [(3/5) + (7/10) − (1/4)] × 200 = ?

A. 200
B. 205
C. 210
D. 215

Answer: C. 210


285. √1600 + √900 − √400 + √225 = ?

A. 60
B. 65
C. 70
D. 75

Answer: B. 65


286. 256 ÷ 2^4 + 729 ÷ 3^4 + 625 ÷ 5^2 = ?

A. 46
B. 48
C. 50
D. 52

Answer: C. 50


287. 48 ÷ {2 + [18 ÷ (6 − 3)]} × 10 = ?

A. 50
B. 55
C. 60
D. 65

Answer: C. 60


288. 22% of 500 + 35% of 400 − 50% of 100 = ?

A. 190
B. 195
C. 200
D. 205

Answer: C. 200


289. [(7/9) × 324] ÷ [(3/5) × 20] = ?

A. 18
B. 20
C. 21
D. 24

Answer: C. 21


290. (18 + 6)^2 ÷ (12 × 4) = ?

A. 10
B. 11
C. 12
D. 13

Answer: C. 12


Questions 291–300 — Challenge Level

291. {(5^3 − 3^3) ÷ 7} + √196 = ?

A. 26
B. 28
C. 30
D. 32

Answer: B. 28


292. 12.5% of 640 + 62.5% of 320 − 37.5% of 160 = ?

A. 200
B. 210
C. 220
D. 230

Answer: C. 220


293. [(5/6) × 216 − (3/8) × 192] ÷ 6 = ?

A. 16
B. 17
C. 18
D. 19

Answer: C. 18


294. √2304 ÷ √144 × √225 = ?

A. 45
B. 50
C. 55
D. 60

Answer: D. 60


295. [3^3 + 2^5 + √441] ÷ 5 = ?

A. 14
B. 15
C. 16
D. 17

Answer: C. 16


296. {7.5 × 24 − 2.5 × 16} ÷ 7 = ?

A. 18
B. 20
C. 22
D. 24

Answer: B. 20


297. 45% of 600 − 35% of 400 + 25% of 200 = ?

A. 170
B. 175
C. 180
D. 185

Answer: C. 180


298. [(7/8) × 256 + (5/9) × 162 − (7/10) × 100] ÷ 2 = ?

A. 117
B. 120
C. 122
D. 125

Answer: C. 122


299. {(18^2 − 12^2) ÷ 15} + √144 = ?

A. 22
B. 24
C. 26
D. 28

Answer: B. 24


300. [√2025 + 5^3 − {3^3 + 2^5}] ÷ 3 = ?

A. 35
B. 36
C. 37
D. 38

Answer: C. 37

Questions 301–310

301. If x + 1/x = 5, find x^2 + 1/x^2.

A. 21
B. 23
C. 25
D. 27

Answer: B. 23


302. If x − 1/x = 3, find x^2 + 1/x^2.

A. 9
B. 10
C. 11
D. 13

Answer: C. 11


303. If a + b = 12 and ab = 32, find a^2 + b^2.

A. 64
B. 72
C. 80
D. 88

Answer: C. 80


304. If a − b = 7 and ab = 15, find a^2 + b^2.

A. 69
B. 73
C. 79
D. 81

Answer: C. 79


305. If x + y = 15 and xy = 44, find (x − y)^2.

A. 41
B. 45
C. 49
D. 51

Answer: C. 49


306. If x − y = 5 and xy = 24, find (x + y)^2.

A. 111
B. 117
C. 121
D. 125

Answer: C. 121


307. Simplify:

(x + 7)^2 − (x − 7)^2

A. 14x
B. 21x
C. 28x
D. 49x

Answer: C. 28x


308. Simplify:

(2x + 5)^2 − (2x − 5)^2

A. 20x
B. 30x
C. 40x
D. 50x

Answer: C. 40x


309. Simplify:

(x^2 − 25)/(x − 5)

A. x − 5
B. x + 5
C. x^2 + 5
D. x + 25

Answer: B. x + 5


310. Simplify:

(x^2 − 49)/(x + 7)

A. x + 7
B. x − 7
C. x − 49
D. x + 49

Answer: B. x − 7


Questions 311–320

311. Simplify:

(a^2 + 2ab + b^2)/(a + b)

A. a − b
B. a + b
C. a^2 + b^2
D. 2ab

Answer: B. a + b


312. Simplify:

(x^2 − 2xy + y^2)/(x − y)

A. x + y
B. x − y
C. x^2 − y^2
D. 2xy

Answer: B. x − y


313. If x + y = 10 and xy = 21, find x^3 + y^3.

A. 340
B. 350
C. 370
D. 390

Answer: C. 370


314. If a + b = 8 and ab = 12, find a^3 + b^3.

A. 208
B. 216
C. 224
D. 232

Answer: C. 224


315. If x − y = 4 and xy = 5, find x^3 − y^3.

A. 104
B. 112
C. 124
D. 128

Answer: C. 124


316. If a + b = 9 and a^2 + b^2 = 53, find ab.

A. 12
B. 14
C. 16
D. 18

Answer: B. 14


317. If x − y = 6 and x^2 + y^2 = 68, find xy.

A. 12
B. 14
C. 16
D. 18

Answer: C. 16


318. If a + 1/a = 4, find a^2 + 1/a^2.

A. 12
B. 14
C. 16
D. 18

Answer: B. 14


319. If x − 1/x = 4, find x^2 + 1/x^2.

A. 16
B. 18
C. 20
D. 22

Answer: B. 18


320. If x + 1/x = 3, find x^3 + 1/x^3.

A. 15
B. 18
C. 21
D. 24

Answer: B. 18


Questions 321–330

321. If x − 1/x = 2, find x^3 − 1/x^3.

A. 12
B. 14
C. 16
D. 18

Answer: B. 14


322. Simplify:

(x^3 − 8)/(x − 2)

A. x^2 + 2x + 4
B. x^2 − 2x + 4
C. x^2 + 4
D. x^2 + 2x − 4

Answer: A. x^2 + 2x + 4


323. Simplify:

(x^3 + 27)/(x + 3)

A. x^2 + 3x + 9
B. x^2 − 3x + 9
C. x^2 − 9
D. x^2 + 9

Answer: B. x^2 − 3x + 9


324. Simplify:

(a^3 − b^3)/(a − b)

A. a^2 − ab + b^2
B. a^2 + ab + b^2
C. a^2 − b^2
D. a^2 + 2ab + b^2

Answer: B. a^2 + ab + b^2


325. Simplify:

(a^3 + b^3)/(a + b)

A. a^2 + ab + b^2
B. a^2 − ab + b^2
C. a^2 − b^2
D. a^2 + 2ab + b^2

Answer: B. a^2 − ab + b^2


326. If a + b = 7 and ab = 10, find a^2 − ab + b^2.

A. 17
B. 19
C. 21
D. 23

Answer: B. 19


327. If x + y = 11 and xy = 24, find x^2 − xy + y^2.

A. 45
B. 47
C. 49
D. 51

Answer: C. 49


328. If x + y = 13 and xy = 40, find x^2 + y^2 + xy.

A. 121
B. 125
C. 129
D. 133

Answer: C. 129


329. If a − b = 3 and ab = 18, find a^2 + b^2 − ab.

A. 25
B. 27
C. 29
D. 31

Answer: B. 27


330. Simplify:

(x + y)^2 + (x − y)^2

A. x^2 + y^2
B. 2x^2 + 2y^2
C. 2x^2 − 2y^2
D. 4xy

Answer: B. 2x^2 + 2y^2


Questions 331–340

331. Simplify:

(x + y)^2 − (x − y)^2

A. 2xy
B. 3xy
C. 4xy
D. 8xy

Answer: C. 4xy


332. If x + y = 14 and x − y = 6, find xy.

A. 36
B. 40
C. 42
D. 44

Answer: B. 40


333. If a + b = 18 and a − b = 8, find ab.

A. 60
B. 62
C. 65
D. 68

Answer: C. 65


334. If x^2 − y^2 = 96 and x − y = 8, find x + y.

A. 10
B. 12
C. 14
D. 16

Answer: B. 12


335. If a^2 − b^2 = 135 and a + b = 15, find a − b.

A. 7
B. 8
C. 9
D. 10

Answer: C. 9


336. Simplify:

(x^4 − 16)/(x^2 − 4)

A. x^2 − 4
B. x^2 + 4
C. x^2 + 2
D. x^2 + 8

Answer: B. x^2 + 4


337. Simplify:

(x^4 − 81)/(x^2 − 9)

A. x^2 − 9
B. x^2 + 9
C. x^2 + 3
D. x^2 + 27

Answer: B. x^2 + 9


338. Simplify:

(a^4 − b^4)/(a^2 − b^2)

A. a^2 − b^2
B. a^2 + b^2
C. a + b
D. a − b

Answer: B. a^2 + b^2


339. If x + 1/x = 6, find x^2 + 1/x^2.

A. 30
B. 32
C. 34
D. 36

Answer: C. 34


340. If x + 1/x = 6, find x^3 + 1/x^3.

A. 180
B. 186
C. 192
D. 198

Answer: D. 198


Questions 341–350 — Toughest

341. If x + 1/x = 5, find x^3 + 1/x^3.

A. 100
B. 105
C. 110
D. 115

Answer: C. 110


342. If x − 1/x = 5, find x^3 − 1/x^3.

A. 130
B. 135
C. 140
D. 145

Answer: C. 140


343. If a + b = 10 and ab = 16, find a^4 + b^4.

A. 4080
B. 4112
C. 4160
D. 4208

Answer: B. 4112


344. If x + y = 8 and xy = 12, find x^4 + y^4.

A. 1248
B. 1280
C. 1312
D. 1344

Answer: C. 1312


345. If a + 1/a = 3, find a^4 + 1/a^4.

A. 43
B. 45
C. 47
D. 49

Answer: C. 47


346. If x − 1/x = 3, find x^4 + 1/x^4.

A. 117
B. 119
C. 121
D. 123

Answer: B. 119


347. If x + y = 9 and xy = 14, find:

x^3 + y^3 − 3xy(x + y)

A. −27
B. −18
C. 18
D. 27

Answer: A. −27


348. If a − b = 5 and ab = 6, find a^3 − b^3.

A. 205
B. 215
C. 225
D. 235

Answer: B. 215


349. Simplify:

(x^3 + y^3)/(x + y) + (x^3 − y^3)/(x − y)

A. 2x^2
B. 2x^2 + 2y^2
C. 2x^2 + y^2
D. x^2 + 2y^2

Answer: B. 2x^2 + 2y^2


350. If x + y = 12 and xy = 27, find:

(x^3 + y^3)/(x + y)

A. 54
B. 57
C. 63
D. 72

Answer: C. 63


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