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Quick Check — BODMAS Rule – KLEE Arithmetic & Mental Ability Test 1

Practice (30 questions)Take as timed test (30 min)

Click an option to check your answer, or click View Answer for the answer and explanation.

Solved examples

from the guide

Simplify: 4 + 2 × (3 − 1)

Answer: 8 — Brackets: 3 − 1 = 2; multiply: 2 × 2 = 4; add: 4 + 4 = 8.

from the guide

Find the result of (9 + 6) × (2 − 3) + 52.

Answer: 37 — 15 × (−1) + 52 = −15 + 52 = 37.

from the guide

Find the result of 3² − 2(4 ÷ 2 + 1) × 5.

Answer: −21 — 9 − 2 × 3 × 5 = 9 − 30 = −21.

from the guide

Evaluate 5³ − √16 × (3/2 + 4/2)².

Answer: 76 — (7/2)² = 49/4; 4 × 49/4 = 49; 125 − 49 = 76.

from the guide

A man has Rs. 480 in one-rupee, five-rupee and ten-rupee notes, equal in number. What is the total number of notes?

Answer: 90 — One note of each = Rs. 16; 480 ÷ 16 = 30 of each; total 90.

from the guide

The price of 10 chairs equals that of 4 tables. 15 chairs and 2 tables together cost Rs. 4000. Find the total price of 12 chairs and 3 tables.

Answer: Rs. 3900 — Table = 2.5 chairs; 15c + 5c = 20c = 4000 → c = 200, t = 500; 12 × 200 + 3 × 500 = 3900.

Practice questions

1.

Simplify: 6 + 3 × (5 − 2)

  1. A. 12
  2. B. 15
  3. C. 18
  4. D. 27
View Answer

Answer: Option B

Explanation:

Brackets first: 5 − 2 = 3; then 3 × 3 = 9; then 6 + 9 = 15.

2.

Simplify: 20 − 4 × (7 − 4)

  1. A. 8
  2. B. 12
  3. C. 48
  4. D. 4
View Answer

Answer: Option A

Explanation:

7 − 4 = 3; 4 × 3 = 12; 20 − 12 = 8.

3.

Simplify: 18 ÷ 3 + 2 × (4 + 1)

  1. A. 13
  2. B. 40
  3. C. 16
  4. D. 20
View Answer

Answer: Option C

Explanation:

Brackets: 5; division 18 ÷ 3 = 6; multiplication 2 × 5 = 10; 6 + 10 = 16.

4.

Simplify: (9 + 6) ÷ 5 × 4

  1. A. 3
  2. B. 0.75
  3. C. 15
  4. D. 12
View Answer

Answer: Option D

Explanation:

Brackets: 15; then left to right: 15 ÷ 5 = 3, 3 × 4 = 12.

5.

Simplify: 50 − 3 × (6 + 4) ÷ 5

  1. A. 44
  2. B. 40
  3. C. 47
  4. D. 4
View Answer

Answer: Option A

Explanation:

Brackets: 10; 3 × 10 = 30; 30 ÷ 5 = 6; 50 − 6 = 44.

6.

Find the result of (7 + 5) × (3 − 5) + 40.

  1. A. 64
  2. B. 16
  3. C. −16
  4. D. 24
View Answer

Answer: Option B

Explanation:

12 × (−2) + 40 = −24 + 40 = 16.

7.

Find the result of (4 + 8) × (1 − 4) + 50.

  1. A. 86
  2. B. 36
  3. C. 14
  4. D. −14
View Answer

Answer: Option C

Explanation:

12 × (−3) + 50 = −36 + 50 = 14.

8.

Find the result of (10 − 3) × (2 − 6) + 30.

  1. A. −2
  2. B. 2
  3. C. 28
  4. D. 58
View Answer

Answer: Option B

Explanation:

7 × (−4) + 30 = −28 + 30 = 2.

9.

Find the result of (6 + 9) × (5 − 7) + 45.

  1. A. 75
  2. B. −15
  3. C. 15
  4. D. 30
View Answer

Answer: Option C

Explanation:

15 × (−2) + 45 = −30 + 45 = 15.

10.

Find the result of (12 − 4) × (3 − 8) + 60.

  1. A. 100
  2. B. 40
  3. C. 20
  4. D. −20
View Answer

Answer: Option C

Explanation:

8 × (−5) + 60 = −40 + 60 = 20.

11.

Find the result of 4² − 3(6 ÷ 3 + 2) × 2.

  1. A. −8
  2. B. 8
  3. C. 40
  4. D. −40
View Answer

Answer: Option A

Explanation:

16 − 3 × 4 × 2 = 16 − 24 = −8.

12.

Find the result of 5² − 2(9 ÷ 3 + 1) × 3.

  1. A. 17
  2. B. −1
  3. C. 49
  4. D. 1
View Answer

Answer: Option D

Explanation:

25 − 2 × 4 × 3 = 25 − 24 = 1.

13.

Find the result of 2³ − 4(8 ÷ 4 + 1) × 2.

  1. A. −16
  2. B. −4
  3. C. 32
  4. D. 16
View Answer

Answer: Option A

Explanation:

8 − 4 × 3 × 2 = 8 − 24 = −16.

14.

Find the result of 6² − 5(10 ÷ 5 + 2) × 2.

  1. A. −4
  2. B. 76
  3. C. 16
  4. D. 4
View Answer

Answer: Option A

Explanation:

36 − 5 × 4 × 2 = 36 − 40 = −4.

15.

Find the result of 3³ − 2(12 ÷ 4 − 1) × 4.

  1. A. 19
  2. B. 11
  3. C. −11
  4. D. 43
View Answer

Answer: Option B

Explanation:

27 − 2 × 2 × 4 = 27 − 16 = 11.

16.

Evaluate 4³ − √9 × (5/2 + 3/2)².

  1. A. 112
  2. B. 48
  3. C. 52
  4. D. 16
View Answer

Answer: Option D

Explanation:

(5/2 + 3/2) = 4, 4² = 16; √9 × 16 = 48; 64 − 48 = 16.

17.

Evaluate 6² − √4 × (1/2 + 5/2)².

  1. A. 18
  2. B. 30
  3. C. 27
  4. D. 9
View Answer

Answer: Option A

Explanation:

(1/2 + 5/2) = 3, 3² = 9; 2 × 9 = 18; 36 − 18 = 18.

18.

Evaluate 10² − √25 × (7/3 + 2/3)².

  1. A. 91
  2. B. 55
  3. C. 85
  4. D. 45
View Answer

Answer: Option B

Explanation:

(7/3 + 2/3) = 3, 3² = 9; 5 × 9 = 45; 100 − 45 = 55.

19.

Evaluate 3⁴ − √36 × (3/4 + 5/4)².

  1. A. 69
  2. B. 24
  3. C. 57
  4. D. 75
View Answer

Answer: Option C

Explanation:

(3/4 + 5/4) = 2, 2² = 4; 6 × 4 = 24; 81 − 24 = 57.

20.

Evaluate 2⁵ + √49 × (1/3 + 2/3)².

  1. A. 25
  2. B. 81
  3. C. 49
  4. D. 39
View Answer

Answer: Option D

Explanation:

(1/3 + 2/3) = 1, 1² = 1; 7 × 1 = 7; 32 + 7 = 39.

21.

A man has Rs. 640 in one-rupee, five-rupee and ten-rupee notes, equal in number. What is the total number of notes?

  1. A. 160
  2. B. 80
  3. C. 120
  4. D. 40
View Answer

Answer: Option C

Explanation:

One of each = Rs. 16; 640 ÷ 16 = 40 of each; 3 × 40 = 120 notes.

22.

A purse has ₹1,200 in ₹10, ₹20 and ₹50 notes, equal in number. How many notes are there in all?

  1. A. 45
  2. B. 15
  3. C. 60
  4. D. 30
View Answer

Answer: Option A

Explanation:

One of each = ₹80; 1200 ÷ 80 = 15 of each; 3 × 15 = 45 notes.

23.

A box has ₹1,750 in ₹5, ₹10 and ₹20 notes, equal in number. How many notes are there in all?

  1. A. 150
  2. B. 50
  3. C. 100
  4. D. 175
View Answer

Answer: Option A

Explanation:

One of each = ₹35; 1750 ÷ 35 = 50 of each; 3 × 50 = 150 notes.

24.

A bag has ₹210 in 50-paise, ₹1 and ₹2 coins, equal in number. How many coins are there in all?

  1. A. 210
  2. B. 180
  3. C. 60
  4. D. 120
View Answer

Answer: Option B

Explanation:

One of each = ₹3.50; 210 ÷ 3.5 = 60 of each; 3 × 60 = 180 coins.

25.

A cashier has ₹3,400 in ₹100, ₹50 and ₹20 notes, equal in number. How many notes are there in all?

  1. A. 20
  2. B. 40
  3. C. 60
  4. D. 80
View Answer

Answer: Option C

Explanation:

One of each = ₹170; 3400 ÷ 170 = 20 of each; 3 × 20 = 60 notes.

26.

The price of 6 chairs equals that of 2 tables. 5 chairs and 3 tables cost ₹2,800. Find the cost of 4 chairs and 2 tables.

  1. A. ₹2,400
  2. B. ₹2,000
  3. C. ₹1,800
  4. D. ₹2,200
View Answer

Answer: Option B

Explanation:

Table = 3 chairs; 5c + 9c = 14c = 2800 → c = 200, t = 600; 4 × 200 + 2 × 600 = 2,000.

27.

The price of 3 pens equals that of 2 notebooks. 6 pens and 4 notebooks cost ₹240. Find the cost of 5 pens and 5 notebooks.

  1. A. ₹200
  2. B. ₹300
  3. C. ₹240
  4. D. ₹250
View Answer

Answer: Option D

Explanation:

Notebook = 1.5 pens; 6p + 6p = 12p = 240 → p = 20, notebook = 30; 5 × 20 + 5 × 30 = 250.

28.

The price of 8 shirts equals that of 5 trousers. 4 shirts and 2 trousers cost ₹3,600. Find the cost of 2 shirts and 3 trousers.

  1. A. ₹2,900
  2. B. ₹3,200
  3. C. ₹3,600
  4. D. ₹3,400
View Answer

Answer: Option D

Explanation:

Trouser = 1.6 shirts; 4s + 3.2s = 7.2s = 3600 → s = 500, t = 800; 2 × 500 + 3 × 800 = 3,400.

29.

The price of 6 apples equals that of 2 mangoes. 4 apples and 5 mangoes cost ₹380. Find the cost of 10 apples and 2 mangoes.

  1. A. ₹380
  2. B. ₹300
  3. C. ₹340
  4. D. ₹320
View Answer

Answer: Option D

Explanation:

Mango = 3 apples; 4a + 15a = 19a = 380 → a = 20, mango = 60; 10 × 20 + 2 × 60 = 320.

30.

The price of 4 cups equals that of 1 plate. 10 cups and 5 plates cost ₹1,500. Find the cost of 6 cups and 4 plates.

  1. A. ₹900
  2. B. ₹1,100
  3. C. ₹1,200
  4. D. ₹1,000
View Answer

Answer: Option B

Explanation:

Plate = 4 cups; 10c + 20c = 30c = 1500 → c = 50, plate = 200; 6 × 50 + 4 × 200 = 1,100.

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