Symbiosis Entrance Test
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, 144, 1728) (6, 36, 216)
Option 1: (11, 121, 1000)
Option 2: (14, 196, 2197)
Option 3: (10, 100, 1000)
Option 4: (8, 64, 729)
Correct Answer: (10, 100, 1000)
Solution : Given: (12, 144, 1728); (6, 36, 216)
Here, (12, 144, 1728)→(12)2 = 144; (12)3 = 1728 (6, 36, 216)→(6)2 = 36; (6)3 = 216
Let's check each option – First option: (11, 121, 1000)→(11)2 = 121; (11)3
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;
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
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
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
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
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,
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 ×
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
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.
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