Grade 4 Logical Reasoning

Transcription

1 ID : ae-4-logical-reasoning [1] Grade 4 Logical Reasoning For more such worksheets visit Answer the questions (1) 9999 = What is the missing number? (2) The table shows description of four Copiers. Printer Specification Copier 1 Copies 4 pages per second Copier 2 Copies 1 page every 4 seconds Copier 3 Copies 11 pages per minute Copier 4 Copies 15 pages per minute Which is the slowest? (3) What fraction of the following letters can not be drawn using only straight lines? K E P X G H T R D O (4) How many small cubes are required to create this solid shape? (5) Find the missing number , 17950,, 23950, 26950, (6) = 15 cycles =? (7) = 20 grams = 50 grams If the total weight of, and is 240 grams, what is the weight of? (8) Dhelal rolls a cube in which the letters Y, E, I, G, R and L appear on faces 1, 2, 3, 4, 5,and 6, respectively. What is the fraction of symmetric letters (either horizontal or vertical) on the cube?

2 ID : ae-4-logical-reasoning [2] (9) If all the letters of the English alphabet are written in reverse order, what will be the letter at the 7 th place to the right of letter U? (10) Hussein has 9 pairs of white socks and 7 pairs of green socks. All the socks are in a bag. If Hussein picks the socks without looking at them, how many socks he has to remove from the bag before he can be sure that he has a pair of white color? (11) Given, = = Aden brought How many more toffees than pizza-slices did he buy? (12) If the power plant is 34 km 400 m from Aziz's house, how far is the train station from the church? 8 km 400 m? 6 km 800 m 7 km 800 m 5 km House church train station school park power plant (13) What is the minimum number of line segments required to make letter H? Choose correct answer(s) from the given choices (14) Which of the following makes a number pattern? a. 4, 7, 9, 12, 15, 18,... b. 3, 6, 9, 12, 15, 17,... c. 4, 8, 11, 14,... d. 4, 9, 14, 19, 24, 29, 34, 39,... (15) The following bar chart shows the number of fruits in a shop. There are less apples than pears. a. 20 b. 50 c. 30 d. 40

3 ID : ae-4-logical-reasoning [3] 2017 Edugain ( All Rights Reserved Many more such worksheets can be generated at

4 Answers ID : ae-4-logical-reasoning [4] (1) 990 There are four 9's in the given number, at thousands', hundreds', tens' and ones' place. The number can be written in the expanded form according to the place values of its digits as: The missing blank in the question has to be = 990. (2) Copier 3 From the given table we observe that the copier 1 copies 4 pages in one second. Hence, to find the number of pages it can copy in one minute we need to multiply it with 60, which comes out to be 4 60 = 240 pages per minute. Copier 2 copies 1 page every 4 seconds. So it copies 1 4 pages in one second. To find the number of pages it copies in one minute, we need to multiply it with 60. Hence, = 15. This means it can copy 15 pages per minute. Copier 3 copies 11 pages per minute. Copier 4 copies 15 pages per minute. Step 5 From above steps we conclude that copier 3 is the slowest.

5 ID : ae-4-logical-reasoning [5] (3) 5 10 We are given the following letters: K E P X G H T R D O We are asked to find the fraction of letters from these letters that can not be drawn using only straight lines. Let us count the total number of letters given to us. It is 10. We can see that out of the given 10 letters, only the following 5 letters can not be drawn using only straight lines: D G O P R All 5 of these letters have curves. Fraction of the letters that can not be drawn using only straight lines = Number of letters that can not be drawn using only straight lines Total number of letters = 5 10 Step 5 5 Hence, is the fraction of letters out of the given set of letters that can not be drawn using 10 only straight lines. (4) 72 This solid shape is made of several small cubes: Number of cubes forming the width of the shape = 6 Number of cubes forming the depth of the shape = 3 Number of cubes forming the height of shape = 4 Number of cubes required to make top part of solid shape = 6 3 = 18 Since, height of the given shape is 4 small cubes, there will be 4 such layers. Therefore, total number of small cubes required to make the given shape = 18 4 = 72

6 (5) ID : ae-4-logical-reasoning [6] Let us subtract the first number from the second number: = 3000 Similarly, we need to subtract the second number from the third, third number from the fourth, fourth number from the fifth and so on. It is clear from the above steps that there is a difference of 3000 between each consecutive number in this series. Hence, the missing number would be: = (6) 20 cycles It is shown that = 15 cycles. Therefore, = 15 3 = 5 cycles Therefore, = 4 5 = 20 cycles

7 (7) 70 grams ID : ae-4-logical-reasoning [7] Let us assume, = A, = B, and = C According to the question, B A = 20 grams, and C B = 50 grams, and A + B + C = 240 grams. Since, B A = 20, we can say that A = B 20, and since C B = 50, we can say that C = B We can replace the values of A and C in A + B + C = 240 grams by the values we found in step 3 as: (B 20) + B + (B + 50) = 240 Step 5 From step 4 we have: B 20 + B + B + 50 = 240 or, B + B + B = 240 or, B + B + B + 30 = 240 or, B + B + B = 210 Step 6 The weight of three B is equal to 210 grams. Therefore, the weight of one B = 210 = 70 grams 3 Step 7 Hence, the weight of is 70 grams.

8 ID : ae-4-logical-reasoning [8] (8) 3 6 Symmetric letters are E, I and Y. Asymmetric letters are G, L and R. Total symmetric and asymmetric letters are 6. Now, the fraction of symmetric letters (either horizontal or vertical) on the cube is 3 6. (9) N Let us write all English alphabets in reverse order: Z Y X W V U T S R Q P O N M L K J I H G F E D C B A Locate the letter 'U' and begin counting towards its right until we reach the 7 th letter. Z Y X W V U T S R Q P O N M L K J I H G F E D C B A On counting, we find that the letter at the 7 th place on right of the letter U is N.

9 (10) 16 ID : ae-4-logical-reasoning [9] Hussein has 9 pairs of white socks and 7 pairs of green socks. The question says that he picks up the socks without looking at their color. The worst case scenario here would be that he picks up all the green socks first and then the white ones, because after the green one are all picked up, he can be sure that the next sock he picks up is white. The total number of green socks is 7 2 = 14. After 14 socks, he will have to pick up 2 socks more to be sure he has a pair of white socks. From the above step, we can say that he will have to pick up = 16 socks before he has a pair of white socks. (11) 22 The first statement tells us that one box contains 7 toffees. Therefore, 4 boxes contain 4 7 = 28 toffees. The second statement tells us that one jar contains 2 pizza-slices. Therefore, 3 jars contain 3 2 = 6 pizza-slices. Step 5 Thus, the difference between the number of toffees and pizza-slices = 28-6 = 22

10 (12) 6 km 400 m ID : ae-4-logical-reasoning [10] From given picture we can see that, Distance between Aziz's house and power plant = Distance between house and church + Distance between church and train station + Distance between train station and school + Distance between school and park + Distance between park and power plant Distance between Aziz's house and power plant = 8 km 400 m + Distance between church and train station + 6 km 800 m + 7 km 800 m + 5 km Distance between Aziz's house and power plant = Distance between church and train station + 28 km Therefore, Distance between church and train station = Distance between Aziz's house and power plant 28 km = 34 km 400 m 28 km = 6 km 400 m (13) 3 We have been asked to find the minimum number of line segments required to make the letter H. If we look at the letter H, we will notice that the letter H can be formed by 3 line segments. Therefore, the minimum number of line segments required to make letter H are 3.

11 (14) d. 4, 9, 14, 19, 24, 29, 34, 39,... ID : ae-4-logical-reasoning [11] Option a: 4, 7, 9, 12, 15, 18,... If we subtract the consecutive numbers: 7-4 = 3, 9-7 = 2, 12-9 = 3, = 3, = 3 There is no pattern in the given numbers. Option b: 3, 6, 9, 12, 15, 17,... If we subtract the consecutive numbers: 6-3 = 3, 9-6 = 3, 12-9 = 3, = 3, = 2 There is no pattern in the given numbers. Option c: 4, 8, 11, 14,... If we subtract the consecutive numbers: 8-4 = 4, 11-8 = 3, = 3 There is no pattern in the given numbers. Option d: 4, 9, 14, 19, 24, 29, 34, 39,... If we observe, there is a difference of 5 between each consecutive number: 9-4 = 5, 14-9 = 5, = 5, = 5, = 5, = 5, = 5 So, the numbers follow a pattern. Step 5 So, the numbers in option d follow a pattern.

12 (15) c. 30 ID : ae-4-logical-reasoning [12] Let us draw a table representing the fruits' name and quantity with the help of the given bar chart. Fruit's name Fruit's quantity Apple 10 Orange 60 Pear 40 Banana 70 Mango 50 Pineapple 20 Plum 30 From the table, we notice that the number of apples in the shop = 10 The number of pears in the shop = 40 Now, the difference between the number of apples and pears in the shop = = 30 Hence, we can say that there are 30 less apples than pears.