Simplification — Practice Questions – KLEE Arithmetic & Mental Ability Test 2
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Solved examples
What is 304 times 141?
Answer: 42864 — 304 × 141 = 304 × 140 + 304 = 42,560 + 304 = 42,864.
If A + B = 96 and A is half of B, then A = ?
Answer: 32 — B = 2A, so 3A = 96 and A = 32.
1888 ÷ 32 ÷ 8 = ?
Answer: 7.375 — Work left to right: 1888 ÷ 32 = 59; 59 ÷ 8 = 7.375.
−76 × 33 + 221 = ?
Answer: −2287 — −76 × 33 = −2508; −2508 + 221 = −2287.
4848 ÷ 24 × 11 − 222 = ?
Answer: 2000 — 4848 ÷ 24 = 202; 202 × 11 = 2222; 2222 − 222 = 2000.
1148 ÷ 28 × 1408 ÷ 32 = ?
Answer: 1804 — 1148 ÷ 28 = 41; 1408 ÷ 32 = 44; 41 × 44 = 1804.
−224 + (−314) × (−9) = ?
Answer: 2602 — (−314) × (−9) = 2826; −224 + 2826 = 2602.
853 + ? ÷ 17 = 1000
Answer: 2499 — ?/17 = 147, so ? = 147 × 17 = 2499.
999 × 99 × 9 ÷ 99 ÷ 9 ÷ 3 = ?
Answer: 333 — The 99s and 9s cancel, leaving 999 ÷ 3 = 333.
Simplify: 1 − [1 − {1 − (1 − 0)}]
Answer: 0 — (1 − 0) = 1; {1 − 1} = 0; [1 − 0] = 1; 1 − 1 = 0.
Practice questions
What is 213 × 112?
- A. 24,856
- B. 23,856
- C. 23,586
- D. 22,856
Answer: Option B
Explanation:
213 × 112 = 213 × 100 + 213 × 12 = 21,300 + 2,556 = 23,856.
What is 405 × 132?
- A. 53,640
- B. 52,460
- C. 53,460
- D. 54,360
Answer: Option C
Explanation:
405 × 132 = 400 × 132 + 5 × 132 = 52,800 + 660 = 53,460.
What is 999 × 47?
- A. 46,953
- B. 45,953
- C. 47,953
- D. 46,935
Answer: Option A
Explanation:
999 × 47 = 1000 × 47 − 47 = 47,000 − 47 = 46,953.
What is 256 × 125?
- A. 30,000
- B. 31,250
- C. 32,500
- D. 32,000
Answer: Option D
Explanation:
256 × 125 = 256 × 1000 ÷ 8 = 32,000.
What is 1,008 × 99?
- A. 99,729
- B. 98,792
- C. 1,00,792
- D. 99,792
Answer: Option D
Explanation:
1008 × 99 = 1008 × 100 − 1008 = 1,00,800 − 1,008 = 99,792.
If A + B = 120 and A is one-third of B, then A = ?
- A. 60
- B. 30
- C. 40
- D. 90
Answer: Option B
Explanation:
B = 3A, so 4A = 120 and A = 30.
If A + B = 84 and A is twice B, then A = ?
- A. 56
- B. 28
- C. 42
- D. 60
Answer: Option A
Explanation:
A = 2B, so 3B = 84, B = 28 and A = 56.
If A + B = 150 and A is two-thirds of B, then A = ?
- A. 100
- B. 50
- C. 90
- D. 60
Answer: Option D
Explanation:
A = 2B/3, so 5B/3 = 150, B = 90 and A = 60.
If A − B = 30 and A is 3 times B, then A = ?
- A. 60
- B. 45
- C. 90
- D. 15
Answer: Option B
Explanation:
3B − B = 2B = 30, so B = 15 and A = 45.
If A + B = 72 and A : B = 5 : 7, then A = ?
- A. 42
- B. 30
- C. 35
- D. 36
Answer: Option B
Explanation:
A = 72 × 5/12 = 30.
2560 ÷ 40 ÷ 8 = ?
- A. 64
- B. 0.8
- C. 512
- D. 8
Answer: Option D
Explanation:
2560 ÷ 40 = 64; 64 ÷ 8 = 8.
1575 ÷ 25 ÷ 9 = ?
- A. 7
- B. 63
- C. 9
- D. 567
Answer: Option A
Explanation:
1575 ÷ 25 = 63; 63 ÷ 9 = 7.
3456 ÷ 48 ÷ 16 = ?
- A. 4.5
- B. 72
- C. 3
- D. 1152
Answer: Option A
Explanation:
3456 ÷ 48 = 72; 72 ÷ 16 = 4.5.
7200 ÷ 45 ÷ 32 = ?
- A. 160
- B. 5120
- C. 4.5
- D. 5
Answer: Option D
Explanation:
7200 ÷ 45 = 160; 160 ÷ 32 = 5.
6125 ÷ 35 ÷ 14 = ?
- A. 12.5
- B. 12
- C. 2450
- D. 175
Answer: Option A
Explanation:
6125 ÷ 35 = 175; 175 ÷ 14 = 12.5.
−45 × 22 + 315 = ?
- A. −675
- B. −1305
- C. 675
- D. −765
Answer: Option A
Explanation:
−45 × 22 = −990; −990 + 315 = −675.
−58 × 17 + 400 = ?
- A. −586
- B. −1386
- C. −568
- D. 586
Answer: Option A
Explanation:
−58 × 17 = −986; −986 + 400 = −586.
−64 × 25 + 1000 = ?
- A. −2600
- B. −600
- C. −660
- D. 600
Answer: Option B
Explanation:
−64 × 25 = −1600; −1600 + 1000 = −600.
−39 × 41 + 1111 = ?
- A. −488
- B. 488
- C. −448
- D. −2710
Answer: Option A
Explanation:
−39 × 41 = −1599; −1599 + 1111 = −488.
87 × (−12) + 2000 = ?
- A. 3044
- B. 965
- C. 956
- D. −956
Answer: Option C
Explanation:
87 × (−12) = −1044; −1044 + 2000 = 956.
3636 ÷ 18 × 12 − 24 = ?
- A. 2,400
- B. 2,000
- C. 2,376
- D. 2,424
Answer: Option A
Explanation:
3636 ÷ 18 = 202; 202 × 12 = 2424; 2424 − 24 = 2400.
5250 ÷ 25 × 13 − 530 = ?
- A. 2,730
- B. 2,000
- C. 2,200
- D. 2,100
Answer: Option C
Explanation:
5250 ÷ 25 = 210; 210 × 13 = 2730; 2730 − 530 = 2200.
7272 ÷ 36 × 9 − 818 = ?
- A. 900
- B. 1,000
- C. 1,100
- D. 1,818
Answer: Option B
Explanation:
7272 ÷ 36 = 202; 202 × 9 = 1818; 1818 − 818 = 1000.
2475 ÷ 15 × 6 − 490 = ?
- A. 990
- B. 550
- C. 400
- D. 500
Answer: Option D
Explanation:
2475 ÷ 15 = 165; 165 × 6 = 990; 990 − 490 = 500.
6464 ÷ 32 × 7 − 14 = ?
- A. 1,414
- B. 1,000
- C. 1,386
- D. 1,400
Answer: Option D
Explanation:
6464 ÷ 32 = 202; 202 × 7 = 1414; 1414 − 14 = 1400.
1296 ÷ 36 × 1625 ÷ 25 = ?
- A. 2,430
- B. 2,304
- C. 2,240
- D. 2,340
Answer: Option D
Explanation:
1296 ÷ 36 = 36; 1625 ÷ 25 = 65; 36 × 65 = 2340.
2025 ÷ 45 × 1152 ÷ 48 = ?
- A. 1,080
- B. 980
- C. 1,180
- D. 1,008
Answer: Option A
Explanation:
2025 ÷ 45 = 45; 1152 ÷ 48 = 24; 45 × 24 = 1080.
1521 ÷ 39 × 2028 ÷ 52 = ?
- A. 1,621
- B. 1,421
- C. 1,521
- D. 1,512
Answer: Option C
Explanation:
1521 ÷ 39 = 39; 2028 ÷ 52 = 39; 39 × 39 = 1521.
3600 ÷ 72 × 1890 ÷ 54 = ?
- A. 1,705
- B. 1,570
- C. 1,850
- D. 1,750
Answer: Option D
Explanation:
3600 ÷ 72 = 50; 1890 ÷ 54 = 35; 50 × 35 = 1750.
1764 ÷ 42 × 2304 ÷ 64 = ?
- A. 1,521
- B. 1,612
- C. 1,512
- D. 1,412
Answer: Option C
Explanation:
1764 ÷ 42 = 42; 2304 ÷ 64 = 36; 42 × 36 = 1512.
−150 + (−25) × (−12) = ?
- A. 450
- B. 150
- C. −450
- D. −150
Answer: Option B
Explanation:
(−25) × (−12) = 300; −150 + 300 = 150.
−480 + (−36) × (−15) = ?
- A. 1020
- B. −1020
- C. −60
- D. 60
Answer: Option D
Explanation:
(−36) × (−15) = 540; −480 + 540 = 60.
300 + (−45) × 8 = ?
- A. −2040
- B. 660
- C. 60
- D. −60
Answer: Option D
Explanation:
(−45) × 8 = −360; 300 − 360 = −60.
−99 + (−11) × (−11) = ?
- A. −22
- B. 22
- C. 220
- D. −220
Answer: Option B
Explanation:
(−11) × (−11) = 121; −99 + 121 = 22.
−1000 + (−125) × (−7) = ?
- A. 125
- B. −125
- C. −1875
- D. 1875
Answer: Option B
Explanation:
(−125) × (−7) = 875; −1000 + 875 = −125.
640 + ? ÷ 12 = 800
- A. 1,820
- B. 2,020
- C. 1,920
- D. 160
Answer: Option C
Explanation:
?/12 = 160, so ? = 160 × 12 = 1920.
475 + ? ÷ 25 = 600
- A. 125
- B. 3,250
- C. 3,125
- D. 3,025
Answer: Option C
Explanation:
?/25 = 125, so ? = 125 × 25 = 3125.
1250 − ? ÷ 8 = 1000
- A. 2,000
- B. 2,250
- C. 250
- D. 1,800
Answer: Option A
Explanation:
?/8 = 250, so ? = 250 × 8 = 2000.
999 + ? ÷ 13 = 1200
- A. 2,613
- B. 2,631
- C. 201
- D. 2,513
Answer: Option A
Explanation:
?/13 = 201, so ? = 201 × 13 = 2613.
333 + ? ÷ 19 = 500
- A. 167
- B. 3,173
- C. 3,137
- D. 3,273
Answer: Option B
Explanation:
?/19 = 167, so ? = 167 × 19 = 3173.
888 × 44 × 4 ÷ 44 ÷ 4 ÷ 8 = ?
- A. 888
- B. 444
- C. 111
- D. 222
Answer: Option C
Explanation:
The 44s and 4s cancel, leaving 888 ÷ 8 = 111.
777 × 66 × 6 ÷ 66 ÷ 6 ÷ 3 = ?
- A. 259
- B. 111
- C. 333
- D. 777
Answer: Option A
Explanation:
The 66s and 6s cancel, leaving 777 ÷ 3 = 259.
1000 × 25 × 5 ÷ 25 ÷ 5 ÷ 8 = ?
- A. 200
- B. 250
- C. 125
- D. 1,000
Answer: Option C
Explanation:
The 25s and 5s cancel, leaving 1000 ÷ 8 = 125.
672 × 12 ÷ 12 × 5 ÷ 5 ÷ 4 = ?
- A. 144
- B. 672
- C. 336
- D. 168
Answer: Option D
Explanation:
12 ÷ 12 and 5 ÷ 5 cancel, leaving 672 ÷ 4 = 168.
555 × 33 × 3 ÷ 33 ÷ 3 ÷ 15 = ?
- A. 37
- B. 111
- C. 555
- D. 185
Answer: Option A
Explanation:
The 33s and 3s cancel, leaving 555 ÷ 15 = 37.
Simplify: 2 − [2 − {2 − (2 − 1)}]
- A. 1
- B. 3
- C. 0
- D. 2
Answer: Option A
Explanation:
(2 − 1) = 1; {2 − 1} = 1; [2 − 1] = 1; 2 − 1 = 1.
Simplify: 5 − [4 − {3 − (2 − 1)}]
- A. 3
- B. 2
- C. 1
- D. 4
Answer: Option A
Explanation:
(2 − 1) = 1; {3 − 1} = 2; [4 − 2] = 2; 5 − 2 = 3.
Simplify: 10 − [8 − {6 − (4 − 2)}]
- A. 2
- B. 8
- C. 4
- D. 6
Answer: Option D
Explanation:
(4 − 2) = 2; {6 − 2} = 4; [8 − 4] = 4; 10 − 4 = 6.
Simplify: 7 − [5 + {3 − (1 + 2)}]
- A. 5
- B. 8
- C. 0
- D. 2
Answer: Option D
Explanation:
(1 + 2) = 3; {3 − 3} = 0; [5 + 0] = 5; 7 − 5 = 2.
Simplify: 20 − [12 − {9 − (5 − 3)}]
- A. 9
- B. 15
- C. 5
- D. 13
Answer: Option B
Explanation:
(5 − 3) = 2; {9 − 2} = 7; [12 − 7] = 5; 20 − 5 = 15.