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. 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.) (25, 9, 56) (13, 14, 183)
Option 1: (42, 12, 228)
Option 2: (11, 16, 135)
Option 3: (19, 23, 511)
Option 4: (27, 15, 198)
Correct Answer: (27, 15, 198)
Solution : Given: (25, 9, 56); (13, 14, 183)
(25, 9, 56)→25 + 56 = 81 = (9)² (13, 14, 183)→13 + 183 = 196 = (14)²
Now, let's check the given options – First option: (42, 12, 228) = 42 + 228 = 270; 270 is not a perfect square. Second option: (11, 16, 135) = 11 + 135 = 146; 146 is not a perfect square. Third option: (19, 23, 511) ≠ 19 + 511 = 530; 530 is not a perfect square. Fourth option: (27, 15, 198) 27 + 198 = 225 = (15)²
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.) (48, 16, 192) (22, 62, 341)
Option 1: (32, 24, 222)
Option 2: (74, 38, 713)
Option 3: (84, 78, 1638)
Option 4: (92, 46, 1068)
Correct Answer: (84, 78, 1638)
Solution : Given: (48, 16, 192) (22, 62, 341)
Here, (48, 16, 192)→(48 ÷ 2) × (16 ÷ 2) = 24 × 8 = 192 (22, 62, 341)→(22 ÷ 2) × (62 ÷ 2) = 11 × 31 = 341
Now, let's check the options – First option: (32, 24, 222)→(32 ÷ 2) × (24 ÷ 2) = 16 × 12 = 192 ≠ 222 Second option: (74, 38, 713)→(74 ÷ 2) × (38 ÷ 2) = 37 × 19 =703 ≠ 713 Third option: (84, 78, 1638)→(84 ÷ 2) × (78 ÷ 2) = 42 × 39 = 1638 Fourth option: (92, 46, 1068)→(92 ÷ 2) × (46 ÷ 2) = 46 × 23 = 1058 ≠ 1068
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 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.) (168, 35, 143) (182, 65, 127)
Option 1: (142, 83, 69)
Option 2: (253, 99, 154)
Option 3: (203, 89, 117)
Option 4: (159, 62, 87)
Correct Answer: (142, 83, 69)
Solution : Given: (168, 35, 143); (182, 65, 127)
In the given sets, subtract the third number from the first number and then add 10. (168, 35, 143)→168 – 143 = 25; 25 + 10 = 35 (182, 65, 127)→182 – 127 = 55; 55 + 10 = 65 Let's check the options – First option: (142, 83, 69)→142 – 69 = 73; 73 + 10 = 83 Second option: (253, 99, 154)→253 – 154 = 99; 99 + 10 = 109 ≠ 99 Third option: (203, 89, 117)→203 – 117 = 86; 86 + 10 = 96 ≠ 89 Fourth option: (159, 62, 87)→159 – 87 = 72; 72 + 10 = 82 ≠ 62
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 following set. (6, 22, 14); (8, 30, 19) (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.)
Option 1: (12, 46, 27)
Option 2: (4, 18, 11)
Option 3: (7, 26, 17)
Option 4: (9, 34, 22)
Correct Answer: (4, 18, 11)
Solution : Given: (6, 22, 14); (8, 30, 19)
Here, the pattern followed is as follows – (6, 22, 14)→(14 × 2) – 6 = 28 – 6 = 22 (8, 30, 19)→(19 × 2) – 8 = 38 – 8 = 30 Let's check the options – First option: (12, 46, 27)→(27 × 2) – 12 = 54 – 12 = 42 ≠ 46 Second option: (4, 18, 11)→(11 × 2) – 4 = 22 – 4 = 18 Third option: (7, 26, 17)→(17 × 2) – 7 = 34 – 7 = 27 ≠ 26 Fourth option: (9, 34, 22)→(22 × 2) – 9 = 44 – 9 = 35 ≠ 34
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 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.) (6, 15,1) (5, 6, 3)
Option 1: (12, 46, 5)
Option 2: (7, 42, 5)
Option 3: (5, 32, 7)
Option 4: (15, 21, 8)
Correct Answer: (15, 21, 8)
Solution : Given: (6, 15, 1); (5, 6, 3)
The third number is subtracted from the first number and the resultant is multiplied by 3 to obtain the middle number. (6, 15, 1)→6 – 1 = 5; 5 × 3 = 15 (5, 6, 3)→5 – 3 = 2; 2 × 3 = 6 Let's check each option – First option: (12, 46, 5)→12 – 5 = 7; 7 × 3 = 21 ≠ 46 Second option: (7, 42, 5)→7 – 5 = 2; 2 × 3 = 6 ≠ 42 Third option: (5, 32, 7)→5 – 7 = –2; –2 × 3 = –6 ≠ 32 Fourth option: (15, 21, 8)→15 – 8 = 7; 7 × 3 = 21
So, the set of numbers given in the fourth option follows the same pattern. 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.) (28, 53, 78); (34, 49, 64)
Option 1: (46, 69, 71)
Option 2: (22, 54, 66)
Option 3: (38, 40, 42)
Option 4: (54, 55, 27)
Correct Answer: (38, 40, 42)
Solution : Given: (28, 53, 78); (34, 49, 64)
Here, (28, 53, 78)→(28 + 78) ÷ 2 = 106 ÷ 2 = 53 (34, 49, 64)→(34 + 64) ÷ 2 = 98 ÷ 2 = 49
Let's check the options – First option: (46, 69, 71)→(46 + 71) ÷ 2 = 117 ÷ 2 = 58.5 ≠ 69 Second option:(22, 54, 66)→(22 + 66) ÷ 2 = 88 ÷ 2 = 44 ≠ 54 Third option:(38, 40, 42)→(38 + 42) ÷ 2 = 80 ÷ 2 = 40 Fourth option:(54, 55, 27)→(54 + 27) ÷ 2 = 81 ÷2 = 40.5 ≠ 55
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, 5, 39) (14, 11, 75)
Option 1: (12, 6, 70)
Option 2: (9, 5, 54)
Option 3: (11, 7, 74)
Option 4: (7, 4, 33)
Correct Answer: (7, 4, 33)
Solution : Given: (8, 5, 39); (14, 11, 75)
Add the first and the second number and multiply the resultant number by 3 to obtain the third number in the given set of numbers. ⇒ (8, 5, 39)→(8 + 5) × 3 = 13 × 3 = 39 ⇒ (14, 11, 75)→(14 + 11) × 3 = 25 × 3 = 75
Let's check the options –
First option: (12, 6, 70)→(12 + 6) × 3 = 18 × 3 = 54 ≠ 70 Second option: (9, 5, 54)→(9 + 5) × 3 = 14 × 3 = 42 ≠ 54 Third option: (11, 7, 74)→(11 + 7) × 3 = 18 × 3 = 54 ≠ 74 Fourth option: (7, 4, 33)→(7 + 4) × 3 = 11 × 3 = 33
Question : Directions: Select the set in which the numbers are related similarly to 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.) (23, 14, 9) (37, 19, 18)
Option 1: (125, 25, 5)
Option 2: (125, 100, 5)
Option 3: (125, 25, 100)
Option 4: (125, 5, 25)
Correct Answer: (125, 25, 100)
Solution : Given: (23, 14, 9); (37, 19, 18)
Here, (23, 14, 9)→14 + 9 = 23 (37, 19, 18)→19 + 18 = 37
Let's check the options – First option: (125, 25, 5)→25 + 5 = 30 ≠ 125 Second option: (125, 100, 5)→100 + 5 = 105 ≠ 125 Third option: (125, 25, 100)→25 + 100 = 125 Fourth option: (125, 5, 25)→5 + 25 = 30 ≠ 125
Question : The motive of the British behind Infrastructure development in India was
Option 1: To serve various colonial interest, like mobilising the army and shifting raw materials.
Option 2: To use export surplus to make payments for expenses incurred by office set up by the colonial government in Britain.
Option 3: To get raw material from India achieve great and to sell finished British goods in India at a higher price.
Option 4: All of the above.
Correct Answer: To serve various colonial interest, like mobilising the army and shifting raw materials.
Solution : The motive of the British behind Infrastructure development in India was to serve various colony and interest, like mobilising the army and shifting raw materials. Hence option A is correct.
Question : Which state of India has set up District Investment Promotion Agencies (DIPA)?
Option 1: Karnataka
Option 2: Haryana
Option 3: Odisha
Option 4: West Bengal
Correct Answer: Odisha
Solution : The correct answer is Odisha.
In each of the 30 Districts across the state, the Odisha Government has established District Investment Promotion Agencies (DIPAs). An increased focus on and facilitation of the prompt development of connected infrastructure facilities at the district level is required due to the state's increased expenditure.
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