Symbiosis Entrance Test
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.) (112, 327, 215) (98, 254, 156)
Option 1: (108, 209, 184)
Option 2: (105, 347, 322)
Option 3: (126, 268, 142)
Option 4: (281, 490, 309)
Correct Answer: (126, 268, 142)
Solution : Given: (112, 327, 215); (98, 254, 156)
The sum of the first and third numbers is equal to the second number – ⇒(112, 327, 215)→112 + 215 = 327 ⇒(98, 254, 156)→98 + 156 = 254 Let's check each option –
First option:
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.) (62, 5, 8) (87, 7, 11)
Option 1: (5, 72, 10)
Option 2: (77, 4, 14)
Option 3: (112, 8, 15)
Option 4: (6, 87, 12)
Correct Answer: (112, 8, 15)
Solution : Given: (62, 5, 8); (87, 7, 11)
Here, (62, 5, 8)→{(5 + 8) × 5} – 3 = {13 × 5} – 3 = 65 – 3 = 62 (87, 7, 11)→{(7 + 11) × 5} – 3 = {18 × 5} –
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.) (15, 20, 4) (30, 30, 3)
Option 1: (44, 187, 44)
Option 2: (30, 190, 15)
Option 3: (35, 120, 19)
Option 4: (60, 400, 20)
Correct Answer: (60, 400, 20)
Solution : Given: (15, 20, 4); (30, 30, 3)
In the given sets, multiply the first and third numbers and then divide the resultant by 3 to get the second number. (15, 20, 4)→15 × 4 = 60; 60 ÷ 3 = 20 (30, 30,
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) (243, 81, 27); (99, 33, 11)
Option 1: (27, 25, 23)
Option 2: (27, 9, 3)
Option 3: (27, 20, 19)
Option 4: (27, 18, 9)
Correct Answer: (27, 9, 3)
Solution : Given: (243, 81, 27); (99, 33, 11)
Divide the first number by three, to get the second number and divide the second number by three, to get the third number. (243, 81, 27)→243 ÷ 3 = 81; 81 ÷ 3 = 27 (99,
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.) (101, 10201, 10302) (95, 9025, 9120)
Option 1: (103, 10069, 10172)
Option 2: (105, 11025, 11230)
Option 3: (104, 10816, 10820)
Option 4: (102, 10404, 10506)
Correct Answer: (102, 10404, 10506)
Solution : Given: (101, 10201, 10302) (95, 9025, 9120)
Here, the pattern followed is as follows – (101, 10201, 10302)→(101)2 = 10201; (101 × 102) = 10302 (95, 9025, 9120)→(95)2 = 9025; (95 × 96) = 9120
Let's check the options – First
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.) (12, 42, 7) (13, 52, 8)
Option 1: (8, 7, 43)
Option 2: (7, 12, 6)
Option 3: (9, 26, 8)
Option 4: (9, 18, 4)
Correct Answer: (9, 18, 4)
Solution : Given: (12, 42, 7); (13, 52, 8)
Here, (12, 42, 7)→(12 ÷ 2) × 7 = 6 × 7 = 42 (13, 52, 8)→(13 ÷ 2) × 8 = 6.5 × 8 = 52
Let's check the options – First option: (8, 7,
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.) (2, 5, 341) (1, 7, 510)
Option 1: (8, 2, 140)
Option 2: (1, 2, 25)
Option 3: (2, 5, 56)
Option 4: (3, 6, 64)
Correct Answer: (1, 2, 25)
Solution : Given: (2, 5, 341); (1, 7, 510)
Add the first two numbers, then find its cube, and then subtract 2 from the cube to obtain the third number. (2, 5, 341)→(2 + 5) = (7)3 = 343 – 2 = 341 (1,
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.) (24, 3, 10); (144, 9, 18)
Option 1: (54, 9, 4)
Option 2: (156, 8, 19)
Option 3: (72, 8, 9)
Option 4: (133, 7, 21)
Correct Answer: (133, 7, 21)
Solution : Given: (24, 3, 10); (144, 9, 18)
In the given sets, divide the first number by the second number and then add 2 to it to get the third number. (24, 3, 10)→(24 ÷ 3) + 2 = 8 + 2 = 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.) (6, 12, 24); (28, 14, 7)
Option 1: (32, 14, 1)
Option 2: (36, 16, 9)
Option 3: (25, 18, 16)
Option 4: (25, 10, 4)
Correct Answer: (25, 10, 4)
Solution : Given: (6, 12, 24); (28, 14, 7)
Here, (6, 12, 24)→(12)2 ÷ 6 = 144 ÷ 6 = 24 (28, 14, 7)→(14)2 ÷ 28 = 196 ÷ 28 = 7
Let's check the options – First option: (32, 14, 1)→(14)2
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, 11, 404) (4, 13, 370)
Option 1: (8, 12, 416)
Option 2: (7, 11, 380)
Option 3: (8, 9, 300)
Option 4: (8, 10, 326)
Correct Answer: (8, 12, 416)
Solution : Given: (9, 11, 404); (4, 13, 370)
Here, (9, 11, 404)→((9)2 + (11)2) × 2 = (81 + 121) × 2 = 202 × 2 = 404 (4, 13, 370)→((4)2 + (13)2) × 2 = (16 +
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