Symbiosis Entrance Test
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.) (2, 125, 3) (1, 64, 3)
Option 1: (2, 100, 8)
Option 2: (5, 512, 3)
Option 3: (12, 50, 13)
Option 4: (4, 341, 3)
Correct Answer: (5, 512, 3)
Solution : Given: (2, 125, 3); (1, 64, 3)
Here, (2, 125, 3); (2 + 3)3 = (5)3 = 125 (1, 64, 3); (1 + 3)3 = (4)3 = 64
Let's check the options – First option: (2, 100, 8); (2 + 3)3 = (5)3 = 125 ≠ 100 Second option: (5, 512, 3); (5 + 3)3 = (8)3 = 512 Third option: (12, 50, 13); (12 + 13)3 = (25)3 = 15625 ≠ 50 Fourth option: (4, 341, 3); (4 + 3)3 = (7)3 = 343 ≠ 341
So, only the second option follows the same pattern as followed by the given set of numbers. Hence, the second 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.) (10, 20,100) (50, 5, 125)
Option 1: (20, 5, 60)
Option 2: (40, 4, 150)
Option 3: (14, 10, 35)
Option 4: (12, 10, 60)
Correct Answer: (12, 10, 60)
Solution : Given: (10, 20,100); (50, 5,125)
Multiply the first and second numbers and divide the resultant by 2, to get the third number – ⇒ (10, 20,100)→(10 × 20) ÷ 2 = 100 ⇒ (50, 5, 125)→(50 × 5) ÷ 2 = 125 Let's check each option –
First option: (20, 5, 60)→ (20 × 5) ÷ 2 = 50 ≠ 60 Second option: (40, 4, 150)→(40 × 4) ÷ 2 = 80 ≠ 150 Third option: (14, 10, 35)→(14 × 10) ÷ 2 = 70 ≠ 35 Fourth option: (12, 10, 60)→(12 × 10) ÷ 2 = 60
So, only the fourth option follows the same pattern as 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.) (14, 55, 41); (36, 99, 63)
Option 1: (76, 153, 67)
Option 2: (128, 949, 821)
Option 3: (28, 120, 82)
Option 4: (34, 107, 43)
Correct Answer: (128, 949, 821)
Solution : Given: (14, 55, 41); (36, 99, 63)
Here, (14, 55, 41)→14 + 41 = 55 (36, 99, 63)→36 + 63 = 99
Let's check the options – First option: (76, 153, 67)→76 + 67 = 143 ≠ 153 Second option:(128, 949, 821)→128 + 821 = 949 Third option:(28, 120, 82)→28 + 82 = 110 ≠ 120 Fourth option:(34, 107, 43)→34 + 43 = 77 ≠ 107
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) (4, 21, 33) (10, 111, 141)
Option 1: (13, 45, 97)
Option 2: (25, 53, 128)
Option 3: (65, 60, 244)
Option 4: (24, 52, 128)
Correct Answer: (25, 53, 128)
Solution : Given: (4, 21, 33); (10, 111, 141) ⇒ (4, 21, 33); 33 – 21 = 12; 12 ÷ 3 = 4 ⇒ (10, 111, 141); 141 – 111 = 30; 30 ÷ 3 = 10
Let's check the options – First option: (13, 45, 97); 97 – 45 = 52; 52 ÷ 3 = 17.3 ≠ 13 Second option: (25, 53, 128); 128 – 53 = 75; 75 ÷ 3 = 25 Third option: (65, 60, 244); 244 – 60 = 184; 184 ÷ 3 = 61.3 ≠ 13 Fourth option: (24, 52, 128); 128 – 45 = 83; 83 ÷ 3 = 94.3 ≠ 13
So, only the second option follows the same pattern as given in the question. Hence, the second option is correct.
Question : Directions: Select the set in which the numbers are related in the same way as those 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.) (264, 462); (132, 330)
Option 1: (211, 340)
Option 2: (188, 378)
Option 3: (386, 584)
Option 4: (282, 496)
Correct Answer: (386, 584)
Solution : Given: (264, 462); (132, 330)
Like, (264, 462)→264 + 198 = 462 (132, 330)→132 + 198 = 330
Let's check the options – First option: (211, 340)→211 + 198 = 409 ≠ 340 Second option: (188, 378)→188 + 198 = 386 ≠ 378 Third option: (386, 584)→386 + 198 = 584 Fourth option: (282, 496)→282 + 198 = 480 ≠ 496
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 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.) (32, 64, 256) (18, 36, 144)
Option 1: (37, 74, 296)
Option 2: (26, 52, 313)
Option 3: (41, 82, 164)
Option 4: (24, 72, 287)
Correct Answer: (37, 74, 296)
Solution : Given: (32, 64, 256); (18, 36, 144)
Here, the pattern followed is as follows – Like, (32, 64, 256)→32 × 2 = 64; 64 × 4 = 256 And, (18, 36, 144)→18 × 2 = 36; 36 × 4 = 144
Let's check each option – First option: (37, 74, 296)→37 × 2 = 74; 74 × 4 = 296 Second option: (26, 52, 313)→26 × 2 = 52; 52 × 4 = 208 ≠ 313 Third option: (41, 82, 164)→41 × 2 = 82; 82 × 4 = 328 ≠ 164 Fourth option: (24, 72, 287)→24 × 2 = 48; 48 × 4 = 192 ≠ 287
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 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 = 96
Let's check the given options – First option: (8 : 38 : 5)→(8)2 – (5)2 = 64 – 25 = 39 ≠ 38 Second option: (6 : 27 : 3)→(6)2 – (3)2 = 36 – 9 = 27 Third option: (7 : 30 : 4)→(7)2 – (4)2 = 49 – 16 = 33 ≠ 30 Fourth option: (12 : 110 : 6)→(12)2 – (6)2 = 144 – 36 = 108 ≠ 110
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.
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