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.) (34, 17, 51) (46, 23, 69)
Option 1: (68, 34, 204)
Option 2: (54, 27, 108)
Option 3: (72, 36, 108)
Option 4: (44, 22, 88)
Correct Answer: (72, 36, 108)
Solution : Given: (34, 17, 51); (46, 23, 69)
Multiply the second number by 2 to obtain the first number and multiply the second number by 3 to obtain the third number in the given set of numbers – (34, 17, 51)→17 × 2 = 34; 17 × 3 = 51 (46, 23, 69)→23 × 2 = 46; 23 × 3 = 69
Let's check the options – First option: (68, 34, 204)→34 × 2 = 68; 34 × 3 = 102 ≠ 204 Second option: (54, 27, 108)→27 × 2 = 54; 27 × 3 = 81 ≠ 108 Third option: (72, 36, 108)→36 × 2 = 72; 36 × 3 = 108 Fourth option: (44, 22, 88)→22 × 2 = 44; 22 × 3 = 66 ≠ 88
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.) (9, 15, 21) (31, 37, 43)
Option 1: (32, 38, 43)
Option 2: (45, 51, 56)
Option 3: (65, 71, 77)
Option 4: (23, 28, 39)
Correct Answer: (65, 71, 77)
Solution : Given: (9, 15, 21); (31, 37, 43)
Add 6 to the first and second numbers, to get the second and third numbers respectively. (9, 15, 21)→9 + 6 = 15; 15 + 6 = 21 (31, 37, 43)→31 + 6 = 37; 37 + 6 = 43
Let's check the options – First option: (32, 38, 43)→32 + 6 = 38; 38 + 6 = 44 ≠ 43 Second option: (45, 51, 56)→45 + 6 = 51; 51 + 6 = 57 ≠ 56 Third option: (65, 71, 77)→65 + 6 = 71; 71 + 6 = 77 Fourth option: (23, 28, 39)→23 + 6 = 29 ≠ 28; 28 + 6 = 34 ≠ 39
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.) (11, 33, 17); (18, 44, 21)
Option 1: (7, 32, 9)
Option 2: (12, 40, 18)
Option 3: (16, 43, 22)
Option 4: (15, 34, 19)
Correct Answer: (16, 43, 22)
Solution : Given: (11, 33, 17); (18, 44, 21)
Like, (11, 33, 17)→11 + 17 + 5 = 33 (18, 44, 21)→18 + 21 + 5 = 44
Let's check the options – First option: (7, 32, 19)→7 + 19 + 5 = 31 ≠ 32 Second option: (12, 40, 18)→12 + 18 + 5 = 35 ≠ 40 Third option: (16, 43, 22)→16 + 22 + 5 = 43 Fourth option: (15, 34, 19)→15 + 19 + 5 = 31 ≠ 34
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (7, 11, 72); (5, 8, 39) (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: (4, 7, 33)
Option 2: (2, 3, 1)
Option 3: (5, 2, 23)
Option 4: (5, 6, 13)
Correct Answer: (4, 7, 33)
Solution : Given: (7, 11, 72); (5, 8, 39)
Here, (7, 11, 72)→(11 – 7) × (11 + 7) = 4 × 18 = 72 (5, 8, 39)→(8 – 5) × (8 + 5) = 3 × 13 = 39
Now, let's check the given options – First option: (4, 7, 33)→(7 – 4) × (7 + 4) = 3 × 11 = 33 Second option: (2, 3, 1)→(3 – 2) × (3 + 2) = 1 × 5 = 5 ≠ 1 Third option: (5, 2, 23)→(2 – 5) × (2 + 5) = –3 × 7 = –21 ≠ 23 Fourth option: (5, 6, 13)→(6 – 5) × (6 + 5) = 1 × 11 = 11 ≠ 13
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 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, 6, 25) (14, 5, 29)
Option 1: (27, 8, 29)
Option 2: (18, 4, 42)
Option 3: (13, 9, 32)
Option 4: (12, 8, 20)
Correct Answer: (13, 9, 32)
Solution : Given: (9, 6, 25); (14, 5, 29)
In the given sets, add the first and second numbers. Then add 10 to the resultant to get the third number. (9, 6, 25)→9 + 6 = 15; 15 + 10 = 25 (14, 5, 29)→14 + 5 = 19; 19 + 10 = 29 Let's check the options – First option: (27, 8, 29)→27 + 8 = 35; 35 + 10 = 45 ≠ 29 Second option: (18, 4, 42)→18 + 4 = 22; 22 + 10 = 32 ≠ 42 Third option: (13, 9, 32)→13 + 9 = 22; 22 + 10 = 32 Fourth option: (12, 8, 20)→12 + 8 = 20; 20 + 10 = 30 ≠ 20
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 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.) (22, 44, 8) (32, 48, 6)
Option 1: (36, 64, 7)
Option 2: (42, 63, 6)
Option 3: (56, 128, 9)
Option 4: (48, 98, 8)
Correct Answer: (42, 63, 6)
Solution : Given: (22, 44, 8); (32, 48, 6)
Multiply the first and third numbers and divide by 4 to obtain the second number in the given set of numbers – ⇒ (22, 44, 8)→(22 × 8) ÷ 4 = 176 ÷ 4 = 44 ⇒ (32, 48, 6)→(32 × 6) ÷ 4 = 192 ÷ 4 = 48
Let's check the options –
First option: (36, 64, 7)→(36 × 7) ÷ 4 = 252 ÷ 4 = 63 ≠ 64 Second option: (42, 63, 6)→(42 × 6) ÷ 4 = 252 ÷ 4 = 63 Third option: (56, 128, 9)→(56 × 9) ÷ 4 = 504 ÷ 4 = 126 ≠ 128 Fourth option: (48, 98, 8)→(48 × 8) ÷ 4 = 384 ÷ 4 = 96 ≠ 98
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 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.) (5, 32, 7) (4, 30, 14)
Option 1: (7, 60, 11)
Option 2: (6, 65, 13)
Option 3: (7, 50, 21)
Option 4: (8, 60, 9)
Correct Answer: (7, 60, 11)
Solution : Given: (5, 32, 7); (4, 30, 14)
In the given sets, add the third number to the square of the first number to obtain the second number – (5, 32, 7)→52 + 7 = 25 + 7 = 32 (4, 30, 14)→42 + 14 = 16 + 14 = 30 Let's check the options – First option: (7, 60, 11)→72 + 11 = 49 + 11 = 60 Second option: (6, 65, 13)→62 + 13 = 36 + 13 = 49 ≠ 65 Third option: (7, 50, 21)→72 + 21 = 49 + 21 = 70 ≠ 50 Fourth option: (8, 60, 9)→82 + 9 = 64 + 9 = 73 ≠ 60
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 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.) (377, 13, 29) (564, 12, 47)
Option 1: (227, 25, 9)
Option 2: (304, 19, 16)
Option 3: (475, 28, 17)
Option 4: (274, 9, 31)
Correct Answer: (304, 19, 16)
Solution : Given: (377, 13, 29); (564, 12, 47)
Here, (377, 13, 29)→377 ÷ 13 = 29 (564, 12, 47)→564 ÷ 12 = 47
Let's check the options – First option: (227, 25, 9)→227 ÷ 25 = 9.08 ≠ 9 Second option: (304, 19, 16)→304 ÷ 19 = 16 Third option: (475, 28, 17)→475 ÷ 28 = 16.96 ≠ 17 Fourth option: (274, 9, 31)→274 ÷ 9 = 30.44 ≠ 31
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.) (100, 150, 125) (500, 400, 450)
Option 1: (14, 16, 28)
Option 2: (120, 100, 130)
Option 3: (200, 400, 300)
Option 4: (180, 140, 260)
Correct Answer: (200, 400, 300)
Solution : Given: (100, 150, 125); (500, 400, 450)
Divide the sum of the first two numbers by 2, to get the third number – (100, 150, 125)→(100 + 150) ÷ 2 = 250 ÷ 2 = 125 (500, 400, 450)→(500 + 400) ÷ 2 = 900 ÷ 2 = 450
Let's check each option – First option: (14, 16, 28)→(14 + 16) ÷ 2 = 30 ÷ 2 = 15 ≠ 28 Second option: (120, 100, 130)→(120 + 100) ÷ 2 = 220 ÷ 2 = 110 ≠ 130 Third option: (200, 400, 300)→(200 + 400) ÷ 2 = 600 ÷ 2 = 300 Fourth option: (180, 140, 260)→(180 + 140) ÷ 2 = 320 ÷ 2 = 160 ≠ 260
So, only the third option follows the same pattern as the given set of numbers. Hence, the third option is correct.
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