Symbiosis Entrance Test
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 promote cooperative marketing of agricultural produce to benefit farmers.
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 ⇒ (10, 13, 12)→(10 + 12) ÷ 2 + 2 = 13
Let's check each option – First option: (32, 27,18)→(32 + 18) ÷ 2 + 2 = 27 Second option: (13, 16, 13)→(13 + 13) ÷ 2 + 2 = 15 ≠ 16 Third option: (14, 18, 16)→(14 + 16) ÷ 2 + 2 = 17 ≠ 18 Fourth option: (19, 18, 21)→(19 + 21) ÷ 2 + 2 = 22 ≠ 18
So, only the first option follows the same pattern as followed by the given number pair. Hence, the first option is correct.
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, 3)→(4 × 2) + 3 = 8 + 3 = 11 ≠ 10 Second option: (7, 16, 3)→(7 × 2) + 3 = 14 + 3 = 17 ≠ 16 Third option: (5, 17, 6)→(5 × 2) + 6 = 10 + 6 = 16 ≠ 17 Fourth option: (5, 17, 7)→(5 × 2) + 7 = 10 + 7 = 17
So, only the fourth option follows the same pattern as followed by the given set of numbers. Hence, the fourth option is correct.
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 ⇒ (96,108, 54)→96 + 12 = 108; 108 ÷ 2 = 54
Let's check each option – First option: (92, 102, 51)→92 + 12 = 104 ≠ 102; 102 ÷ 2 = 51 Second option: (112, 120, 60)→112 + 12 = 124 ≠ 120; 120 ÷ 2 = 60 Third option: (88, 100, 50)→88 + 12 = 100; 100 ÷ 2 = 50 Fourth option: (64, 86, 42)→64 + 12 = 74 ≠ 86; 86 ÷ 2 = 43
So, only the third option follows the same pattern as the given number pair. Hence, the third option is correct.
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 – 57 = 4; 57 – 53 = 4 Second option: (42, 33, 15)→42 – 33 = 9; 33 – 15 = 18 Third option: (97, 63, 38)→97 – 63 = 34; 63 – 38 = 25 Fourth option: (24, 35, 31)→35 – 24 = 11; 35 – 31 = 4
So, only the first option follows the same pattern as followed by the given set of numbers. Hence, the first option is correct.
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 option: (347, 27, 12)→27 × 12 = 324 ≠ 347 Second option: (347, 22, 17)→22 × 17 = 374 ≠ 347 Third option: (374, 17, 12)→12 × 17 = 204 ≠ 374 Fourth option: (374, 22, 17)→22 × 17 = 374
So, only the fourth option follows the same pattern as followed by the given set of numbers. Hence the fourth option is correct.
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 + 20 = 30 ≠ 24 Second option: (16, 17, 33)→16 + 17 = 33 Third option: (8, 9, 15)→8 + 9 = 17 ≠ 15 Fourth option: (14, 15, 19)→14 + 15 = 29 ≠ 19
So, only the first option follows the same pattern. Hence, the first option is correct.
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, 595)→(9)3 – (12)2 = 729 – 144 = 585 ≠ 595 Second option: (13, 14, 2011)→(13)3 – (14)2 = 2197 – 196 = 2001 ≠ 2011 Third option: (7, 5, 318)→(7)3 – (5)2 = 343 – 25 = 318 Fourth option: (12, 10, 1528)→(12)3 – (10)2 = 1728 – 100 = 1628 ≠ 1528
So, only the third option follows the same pattern as followed by the given set of numbers. Hence, the third option is correct.
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 = 25 + 16 = 41
Let's check the options — First option: (13, 7, 218)→132 + 72 = 169 + 49 = 218 Second option: (7, 8,117)→72 + 82 = 49 + 64 = 113 ≠ 117 Third option: (11, 8,182)→112 + 82 = 121 + 64 = 185 ≠ 182 Fourth option: (4,12,162)→42 + 122 = 16 + 144 = 160 ≠ 162
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.) (7, 49, 343); (8, 64, 512)
Option 1: (6, 36, 206)
Option 2: (5, 25, 225)
Option 3: (11, 121, 1221)
Option 4: (9, 81, 729)
Correct Answer: (9, 81, 729)
Solution : Given: (7, 49, 343); (8, 64, 512)
The second number is the square of the first number and the third number is the cube of the first number – (7, 49, 343)→(7)2 = 49; (7)3 = 343 (8, 64, 512)→(8)2 = 64; (8)3 = 512
Let's check the options – First option: (6, 36, 206)→(6)2 = 36; (6)3 = 216 ≠ 206 Second option: (5, 25, 225)→(5)2 = 25; (5)3 = 125 ≠ 225 Third option: (11, 121, 1221)→(11)2 = 121; (11)3 = 1331 ≠ 1221 Fourth option: (9, 81, 729)→(9)2 = 81; (9)3 = 729
So, only the fourth option follows the same pattern as the given number pair. Hence, the fourth option is correct.
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