Symbiosis Entrance Test
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g., 13 – Operations on 13 such as adding/subtracting/multiplying, etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (9 : 32 : 7) (11 : 96 : 5)
Option 1: (8 : 38 : 5)
Option 2: (6 : 27 : 3)
Option 3: (7 : 30 : 4)
Option 4: (12 : 110 : 6)
Correct Answer: (6 : 27 : 3)
Solution : Given: (9 : 32 : 7); (11 : 96 : 5)
Here, (9 : 32 : 7)→(9)2 – (7)2 = 81 – 49 = 32 (11 : 96 : 5)→(11)2 – (5)2 = 121 – 25 =
Question : Which of the given statements concerning the National Agricultural Cooperative Marketing Federation of India Ltd (NAFED) is correct?
i. NAFED is registered under the Multi-State Co-operative Societies Act.
ii. It was set up to promote Cooperative marketing of agricultural produce to benefit farmers.
iii. It was established in 1956.
Option 1: i, ii and iii
Option 2: Only ii
Option 3: Only ii and iii
Option 4: Only i and ii
Correct Answer: Only i and ii
Solution : The correct answer is Only i and ii.
NAFED stands for the National Agriculture Cooperative Marketing Federation of India. It was established in October of 1958. It is registered under the Multi-State Co-operative Societies Act, and it was set up to
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (20, 16, 8) (10, 13, 12)
Option 1: (32, 27, 18)
Option 2: (13, 16, 13)
Option 3: (14, 18, 16)
Option 4: (19, 18, 21)
Correct Answer: (32, 27, 18)
Solution : Given: (20, 16, 8); (10, 13, 12)
Divide the sum of the first and third numbers by 2, and add 2 to the resultant, to get the second number – ⇒ (20, 16, 8)→(20 + 8) ÷ 2 + 2 = 16 ⇒
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (4, 13, 5) (3, 12, 6)
Option 1: (4, 10, 3)
Option 2: (7, 16, 3)
Option 3: (5, 17, 6)
Option 4: (5, 17, 7)
Correct Answer: (5, 17, 7)
Solution : Given: (4, 13, 5); (3, 12, 6)
Here, (4, 13, 5)→(4 × 2) + 5 = 8 + 5 = 13 (3, 12, 6)→(3 × 2) + 6 = 6 + 6 = 12
Let's check the options – First option: (4, 10,
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed.) (72, 84, 42) (96, 108, 54)
Option 1: (92, 102, 51)
Option 2: (112, 120, 60)
Option 3: (88, 100, 50)
Option 4: (64, 86, 42)
Correct Answer: (88, 100, 50)
Solution : Given: (72, 84, 42); (96,108, 54)
Add 12 to the first number, to get the second number, and divide the second number by 2, to get the third number – ⇒ (72, 84, 42)→17 + 12 = 84; 84 ÷ 2 = 42
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed.) (39, 81, 123) (56, 32, 8)
Option 1: (61, 57, 53)
Option 2: (42, 33, 15)
Option 3: (97, 63, 38)
Option 4: (24, 35, 31)
Correct Answer: (61, 57, 53)
Solution : Given: (39, 81, 123); (56, 32, 8)
Here, (39, 81, 123)→123 – 81 = 42; 81 – 39 = 42 (56, 32, 8)→56 – 32 = 24; 32 – 8 = 24
Let's check the options – First option: (61, 57, 53)→61 –
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the number into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (312, 24, 13) (645, 43, 15)
Option 1: (347, 27, 12)
Option 2: (347, 22, 17)
Option 3: (374, 17, 12)
Option 4: (374, 22, 17)
Correct Answer: (374, 22, 17)
Solution : Given: (312, 24, 13); (645, 43, 15)
In the given sets, multiply the second and the third numbers to get the first number. (312, 24, 13)→24 × 13 = 312 (645, 43, 15)→43 × 15 = 645 Let's check the options – First
Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (12, 22, 34) (14, 15, 29)
Option 1: (10, 20, 24)
Option 2: (16, 17, 33)
Option 3: (8, 9, 15)
Option 4: (14, 15, 19)
Correct Answer: (16, 17, 33)
Solution : Given: (12, 22, 34); (14, 15, 29)
Add the first and second numbers, to get the third number – (12, 22, 34)→12 + 22 = 34 (14, 15, 29)→14 + 15 = 29
Let's check each option – First option: (10, 20, 24)→10
Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (8, 9, 431) (11, 8, 1267)
Option 1: (9, 12, 595)
Option 2: (13, 14, 2011)
Option 3: (7, 5, 318)
Option 4: (12, 10, 1528)
Correct Answer: (7, 5, 318)
Solution : Given: (8, 9, 431); (11, 8, 1267)
Here, (8, 9, 431)→(8)3 – (9)2 = 512 – 81 = 431 (11, 8, 1267)→(11)3 – (8)2 = 1331 – 64 = 1267
Let's check each option – First option: (9, 12,
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (9, 3, 90) (5, 4, 41)
Option 1: (13, 7, 218)
Option 2: (7, 8, 117)
Option 3: (11, 8, 182)
Option 4: (4,12,162)
Correct Answer: (13, 7, 218)
Solution : Given: (9, 3, 90); (5, 4, 41)
Add the squares of the first two numbers to obtain the third number — ⇒ (9, 3, 90)→92 + 32 = 81 + 9 = 90 ⇒ (5, 4, 41)→52 + 42
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