Numerical Reasoning Practice Test

De Roza Education and Research

2019

Practice Questions
Here are some practice examples to show you what the questions on the real
test are like
Question P1
The numbers in the grid go together in a certain way.
What is the missing number?

1 2 3
3 5 6
7 8 ?

A: 6 B: 7 C: 8 D: 9 E: 10

Question P2
What is the next number in the sequence?

1, 2, 3, 4, 5

A: 6 B: 7 C: 8 D: 9 E: 10

Question P3
The following number pairs go together in a certain way.
Find the missing number.
1, 2
3, 6
7, 14
6, 12
5, ?
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A: 10 B: 11 C: 12 D: 13 E: 14

You will have 30 minutes to do as many questions as you can.

Calculators are not permitted
Please do not turn this page until you are asked to do so.

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Question 1
The following groups of three numbers go together in a certain way.
Find the missing number.
26, 24, 1252
21, 29, 1282
23, 20, 929
11, 18, 445
14, 28, ?
A: 1010 B: 980 C: 990 D: 1000 E: 970

Question 2
Find the next number in the following sequence

18, 36, 72, 144, 288

A: 576 B: 566 C: 606 D: 596 E: 586

Question 3
The following groups of three numbers go together in a certain way.
Find the missing number.
18, 108, 324
28, 168, 784
10, 60, 100
12, 72, 144
21, 126, ?
A: 447 B: 451 C: 15886 D: 441 E: 15876

Question 4
In a farm there are only chickens and cows. Each chicken has 2 legs. Each cow
has 4 legs. Given the total number of cows is 14 and the total number of legs is
98. How many chickens are there in the farm?
A: 21 B: 14 C: 16 D: 31 E: 17

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Question 5
In a farm there are only chickens and cows. Each chicken has 2 legs. Each cow
has 4 legs. Given the total number of animals is 41 and the total number of legs
is 104. How many chickens are there in the farm?
A: 38 B: 30 C: 20 D: 27 E: 22

Question 6
In a farm there are only chickens and cows. Each chicken has 2 legs. Each cow
has 4 legs. Given the total number of chickens is 21 and the total number of
legs is 102. How many cows are there in the farm?
A: 16 B: 8 C: 17 D: 11 E: 15

Question 7
Consider all the whole numbers between 143 and 393 including 143 and 393.
How many have digits that sum to 18?
A: 15 B: 12 C: 2 D: 5 E: 8

Question 8
Find the next number in the following sequence

24, 47, 70, 117, 187, 304

A: 491 B: 608 C: 468 D: 467 E: 351

Question 9
Find the missing number and letter in the following sequence

67, D, 91, ?, 115, L, 139, P, ?, T, 187, X

A: G, 166 B: H, 163 C: H, 165 D: H, 164 E: G, 161

Question 10
Consider a positive whole number x.When x is divided by 7 the remainder is
4. When x is divided by 10 the remainder is 5. When x is divided by 2 the
remainder is 1. Which of the following is a possible value for x?
A: 97 B: 95 C: 88 D: 105 E: 102

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Question 11
The following number pairs go together in a certain way.
Find the missing number.
20, 380
18, 306
27, 702
11, 110
14, ?
A: 196 B: 194 C: 182 D: 210 E: 220

Question 12
Two numbers are each multiplied by themselves to give two new numbers. The
difference between the two new numbers is 55. The difference between the two
original numbers is 5. What is the sum of the two original numbers?
A: 11 B: 8 C: 18 D: 9 E: 13

Question 13
The numbers in the grid go together in a certain way.
What is the missing number?
14 36 58
42 108 174
126 324 ?
A: 532 B: 522 C: 525 D: 531 E: 513

Question 14
The numbers in the grid go together in a certain way.
What is the missing number?
15 29 13
11 24 23
26 53 ?
A: 36 B: 40 C: 35 D: 27 E: 28

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Question 15
The following groups of three numbers go together in a certain way.
Find the missing number.
26
27, 13,
46
25
24, 12,
43
36
29, 23,
48
29
28, 16,
47
15, 18, ?
31 24 26 31 31
A: 34 B: 41 C: 34 D: 39 E: 29

Question 16
Each house contains 8 rooms. Each room contains 8 doors. How many doors
are there in 4 houses?
A: 256 B: 264 C: 252 D: 251 E: 258

Question 17
Consider all the whole numbers between 111 and 348 including 111 and 348.
How many leave a remainder of 5 when divided by 8?
A: 20 B: 30 C: 31 D: 29 E: 26

Question 18
A cave, tree and lake lie on a straight line. The tree lies between the cave and
the lake. The distance between the tree and the lake is 280. A bear goes from
the cave to the tree to the lake to the tree. The total distance travelled by the
bear is 720. What is the distance between the cave and the tree?
A: 160 B: 180 C: 120 D: 210 E: 130

Question 19
Find the missing number and letter in the following sequence

18, I, 21, ?, ?, L, 9, R, 23, D, 1, Z

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A: E, 11 B: G, 12 C: E, 13 D: F, 15 E: F, 16

Question 20
Consider all the whole numbers between 195 and 349 including 195 and 349.
How many are the same when their digits are reversed? (e.g 121)
A: 23 B: 12 C: 15 D: 22 E: 25

Question 21
Find the missing number and letter in the following sequence

23, W, 11, ?, ?, R, 17, Q, 16, P, 2, B

A: K, 18 B: L, 13 C: J, 16 D: K, 23 E: J, 20

Question 22
A house, shop and park lie on a straight line. The shop lies between the house
28
and the park. The distance between the house and the shop is 38 of the distance
between the house and the park. The distance between the house and the park
is 380. A man goes from the house to the park to the house to the shop. What
is the total distance travelled by the man?
A: 1040 B: 1080 C: 1050 D: 1090 E: 990

Question 23
Find the missing number and letter in the following sequence

676, Z, 441, U, 121, K, 289, Q, ?, J, 529, ?

A: X, 100 B: W, 100 C: V, 100 D: X, 102 E: W, 98

Question 24
The following number pairs go together in a certain way.
Find the missing number.
29, 841
26, 676
27, 729

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 23, 529
22, ?
A: 474 B: 483 C: 494 D: 482 E: 484

Question 25
The following groups of three numbers go together in a certain way.
Find the missing number.
9, 6, 132
12, 12, 312
5, 3, 54
10, 8, 184
11, 10, ?
A: 244 B: 234 C: 254 D: 229 E: 274

Question 26
In a farm there are only chickens and cows. Each chicken has 2 legs. Each cow
has 4 legs. Given the total number of animals is 37 and the total number of legs
is 110. How many cows are there in the farm?
A: 14 B: 22 C: 23 D: 10 E: 18

Question 27
The following number pairs go together in a certain way.
Find the missing number.
18, 153
12, 66
16, 120
15, 105
21, ?
A: 210 B: 205 C: 420 D: 200 E: 220

Question 28
The numbers in the grid go together in a certain way.
What is the missing number?

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 26 17 442
28 22 616
23 12 ?
A: 276 B: 275 C: 281 D: 286 E: 282

Question 29
The following groups of three numbers go together in a certain way.
Find the missing number.
51
22, 21,
43
46
17, 19,
41
52
23, 25,
47
53
24, 27,
49
11, 13, ?
45 47 40 35 40
A: 35 B: 28 C: 30 D: 35 E: 35

Question 30
A sequence of numbers is changing by the same amount each time. The fifth,
sixth and seventh numbers are -3, 3 and 9. What is the tenth term?
A: 20 B: 29 C: 30 D: 27 E: 35

Question 31
A sequence of numbers is changing by the same amount each time. The fourth,
fifth and sixth numbers are -22, -20 and -18. What is the first term?
A: −29 B: −35 C: −38 D: −23 E: −28

Question 32
The following number pairs go together in a certain way.
Find the missing number.
16, 53
24, 77
15, 50

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 29, 92
23, ?
A: 84 B: 69 C: 74 D: 94 E: 529

Question 33
Find the next number in the following sequence

21, 35, 49, 63, 77

A: 94 B: 91 C: 105 D: 96 E: 86

Question 34
The following number pairs go together in a certain way.
Find the missing number.
16, 136
27, 378
20, 210
26, 351
11, ?
A: 66 B: 61 C: 56 D: 132 E: 76

Question 35
Find the next number in the following sequence

16, 25, 29, 40, 42, 55

A: 65 B: 70 C: 49 D: 55 E: 60

Question 36
One bucket contains 13 kilograms of sand and another bucket contains 35 kilo-
grams of sand. How many kilograms must be transfered from one bucket to the
other, so each has an equal amount of sand?
A: 6 B: 11 C: 32 D: 27 E: 22

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Question 37
The numbers in the grid go together in a certain way.
What is the missing number?
17 44 71
27 54 81
37 64 ?
A: 84 B: 96 C: 91 D: 87 E: 88

Question 38
The numbers in the grid go together in a certain way.
What is the missing number?
36 81 144
144 225 324
324 441 ?
A: 576 B: 583 C: 584 D: 572 E: 577

Question 39
The following number pairs go together in a certain way.
Find the missing number.
26, 702
19, 380
14, 210
25, 650
21, ?
A: 439 B: 420 C: 441 D: 472 E: 462

Question 40
The following groups of three numbers go together in a certain way.
Find the missing number.
26, 182, 208
25, 175, 200
19, 133, 152
22, 154, 176

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 23, 161, ?
A: 161 B: 194 C: 184 D: 204 E: 171

Question 41
A box contains 19 apples and 21 oranges. 22 of the fruits are rotten. What is
the minimum number of rotten apples?
A: 22 B: 18 C: 19 D: 1 E: 0

Question 42
A sequence of numbers is changing by the same amount each time. The fifth,
sixth and seventh numbers are 3, 7 and 11. What is the sum of the first 10
terms?
A: 42 B: 44 C: 52 D: 50 E: 49

Question 43
A pharmacist pays $276 for 46 toothbrushes. It sells 6 toothbrushes for the
same price it paid for 7 toothbrushes What was the profit the pharmacist made
on 46 toothbrushes?
A: 36 B: 332 C: 322 D: 342 E: 46

Question 44
Each tree contains 2 branches. Each branch contains 6 leaves. How many trees
are there given there are 108 leaves?
A: 4 B: 12 C: 1 D: 6 E: 9

Question 45
The following groups of three numbers go together in a certain way.
Find the missing number.
14, 28, 238
22, 15, 229
30, 30, 360
23, 21, 266
26, 29, ?

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A: 327 B: 332 C: 317 D: 337 E: 322

Question 46
The numbers in the grid go together in a certain way.
What is the missing number?
29 12 41
24 27 51
25 13 ?
A: 39 B: 40 C: 38 D: 47 E: 32

Question 47
A house, shop and park lie on a straight line. The shop lies between the house
and the park. The distance between the house and the shop is 110 and the
distance between the house and the park is 270. A man goes from the house to
the shop to the house to the shop. What is the total distance travelled by the
man?
A: 360 B: 350 C: 320 D: 290 E: 330

Question 48
The numbers in the grid go together in a certain way.
What is the missing number?
13 12 20
16 14 25
208 168 ?
A: 490 B: 499 C: 502 D: 501 E: 500

Question 49
Consider all the whole numbers between 183 and 336 including 183 and 336.
How many end in 4?
A: 20 B: 8 C: 16 D: 21 E: 6

Question 50
The numbers in the grid go together in a certain way.
What is the missing number?

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 21 18 10
39 49 28
88 116 ?
A: 70 B: 72 C: 77 D: 80 E: 83

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