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, 28, 8) (72, 48, 12)
Option 1: (63, 36, 17)
Option 2: (119, 29, 55)
Option 3: (97, 55, 24)
Option 4: (108, 58, 25)
Correct Answer: (108, 58, 25)
Solution : Given: (12, 28, 8); (72, 48, 12)
Divide the difference between the first and the second number by 2, to get the third number – (12, 28, 8)→(28 – 12) ÷ 2 = 16 ÷ 2 = 8 (72, 48, 12)→(72 – 48)
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.) (60, 17, 13) (62, 14, 17)
Option 1: (56, 15, 13)
Option 2: (43, 9, 12)
Option 3: (55, 18, 9)
Option 4: (57, 15, 14)
Correct Answer: (56, 15, 13)
Solution : Given: (60, 17, 13); (62, 14, 17)
Add the second and third numbers and the sum is multiplied by 2 to obtain the first number in the given set of numbers – ⇒ (60, 17, 13)→17 + 13 = 30 × 2 =
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.) (13, 7, 546) (14, 15, 1260)
Option 1: (28, 21, 3528)
Option 2: (27, 14, 2288)
Option 3: (16, 9, 874)
Option 4: (13, 15, 1190)
Correct Answer: (28, 21, 3528)
Solution : Given: (13, 7, 546); (14, 15, 1260)
Here, (13, 7, 546)→(13 × 7) × 6 = 546 (14, 15, 1260)→(14 × 15) × 6 = 1260
Let's check the options – First option: (28, 21, 3528)→(28 × 21) × 6 = 3528 Second
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.) (40, 120, 400) (18, 20, 78)
Option 1: (29, 23, 98)
Option 2: (56, 14, 108)
Option 3: (25, 27, 92)
Option 4: (11, 720, 660)
Correct Answer: (29, 23, 98)
Solution : Given: (40, 120, 400); (18, 20, 78)
Here, (40, 120, 400)→(120 × 3) + 40 = 360 + 40 = 400 (18, 20, 78)→(20 × 3) + 18 = 60 + 18 = 78
Let's check the options – First option: (29, 23,
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.) (144, 9, 3) (225, 7, 8)
Option 1: (168, 5, 8)
Option 2: (64, 5, 3)
Option 3: (81, 6, 2)
Option 4: (120, 7, 4)
Correct Answer: (64, 5, 3)
Solution : Given: (144, 9, 3); (225, 7, 8)
The square of the sum of the second and third numbers is equal to the first number – ⇒ (144, 9, 3)→(9 + 3)2 = 122; 122 = 144 ⇒ (225, 7,
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, 21, 66); (9, 17, 44)
Option 1: (2, 4, 12)
Option 2: (5, 37, 52)
Option 3: (7, 9, 86)
Option 4: (11, 13, 35)
Correct Answer: (5, 37, 52)
Solution : Given: (15, 21, 66); (9, 17, 44)
Like, (15, 21, 66)→(15 × 3) + 21 = 45 + 21 = 66 (9, 17, 44)→(9 × 3) + 17 = 27 + 17 = 44
Let's check the options – First option: (2, 4,
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.) (111, 208, 313) (36, 12, 42)
Option 1: (41, 69, 107)
Option 2: (66, 92, 151)
Option 3: (120, 224, 342)
Option 4: (28, 51, 73)
Correct Answer: (28, 51, 73)
Solution : Given: (111, 208, 313); (36,12, 42)
Add the first and second numbers and subtract 6 from the resultant, to get the third number – (111, 208, 313)→(111 + 208) – 6 = 319 – 6 = 313 (36,12, 42)→(36 + 12) – 6
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.) (52, 10, 41) (46, 18, 50)
Option 1: (68, 26, 73)
Option 2: (19, 33, 69)
Option 3: (41, 17, 36)
Option 4: (23, 18, 40)
Correct Answer: (68, 26, 73)
Solution : Given: (52, 10, 41); (46, 18, 50)
The pattern followed here is as follows – (52, 10, 41)→{(52 ÷ 2) + (10 × 1.5)} = {26 + 15} = 41 (46, 18, 50)→{(46 ÷ 2) + (18 × 1.5)} = {23 + 27}
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.) (5, 41, 4) (2, 68, 8)
Option 1: (6, 100, 8)
Option 2: (5, 18, 4)
Option 3: (5, 100, 4)
Option 4: (4, 49, 3)
Correct Answer: (6, 100, 8)
Solution : Given: (5, 41, 4); (2, 68, 8)
Here, (5, 41, 4)→(5)2 + (4)2 = 25 + 16 = 41 (2, 68, 8)→(2)2 + (8)2 = 4 + 64 = 68
Let's check the options – First option: (6, 100,
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, 15, 200) (10, 12, 140)
Option 1: (9, 5, 40)
Option 2: (6, 9, 74)
Option 3: (2, 4, 10)
Option 4: (7, 8, 56)
Correct Answer: (6, 9, 74)
Solution : Given: (12, 15, 200); (10, 12, 140)
In the given sets, multiply the first and the second numbers and then add 20 to the resultant to get the third number. (12, 15, 200)→12 × 15 = 180; 180 + 20 = 200 (10,
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