Symbiosis Entrance Test
Question : Directions: Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it? _bbm_amb_m_a_bbm
Option 1: mbabm
Option 2: ambbm
Option 3: mabam
Option 4: abmab
Correct Answer: mabam
Solution : Given: _bbm_amb_m_a_bbm
To fill the series we have to divide the series – _ / bb / m / _a / m / b_ / m / _a / _ / bb / m Let's check the option – First option: mbabm; m / bb / m / ba / m / ba / m / ba / m / bb / m (No repeated pattern has been found.) Second option: ambbm; a / bb / m / ma / m / bb / m / ba / m / bb / m (No repeated pattern has been found.) Third option: mabam; m / bb / m / aa / m / bb / m / aa / m / bb / m (In every alternate part starting from first m is repeated; In every alternate part starting from second bb changes to aa and then aa changes to bb) Fourth option: abmab; a / bb / m / ba / m / bm / m / aa / b / bb / m (No repeated pattern has been found.)
So, the series becomes→mbbmaambbmaambbm. 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 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.) (31, 47, 35) (51, 67, 55)
Option 1: (33, 47, 35)
Option 2: (32, 39, 27)
Option 3: (13, 29, 17)
Option 4: (21, 36, 35)
Correct Answer: (13, 29, 17)
Solution : Given: (31, 47, 35); (51, 67, 55)
In the given set of numbers, add 16 to the first number to get the second number and subtract 12 from the second number to get the third number. (31, 47, 35)→31 + 16 = 47; 47 – 12 = 35 (51, 67, 55)→51 + 16 = 67; 67 – 12 = 55 Let's check the options – First option: (33, 47, 35)→33 + 16 = 49 ≠ 47; 49 – 12 = 37 ≠ 35 Second option: (32, 39, 27)→32 + 16 = 48 ≠ 39; 48 – 12 = 36 ≠ 27 Third option: (13, 29, 17)→13 + 16 = 29; 29 – 12 = 17 Fourth option: (21, 36, 35)→21 + 16 = 37 ≠ 36; 37 – 12 = 25 ≠ 35
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.) (11, 33, 17) (18, 44, 21)
Option 1: (12, 40, 18)
Option 2: (7, 32, 9)
Option 3: (16, 43, 22)
Option 4: (15, 34, 19)
Correct Answer: (16, 43, 22)
Solution : Given: (11, 33, 17); (18, 44, 21)
Add 5 to the sum of the first and the third numbers to get the second number. ⇒ (11, 33, 17)→(11 + 17) + 5 = 33 ⇒ (18, 44, 21)→(18 + 21) + 5 = 44
Let's check each option – First option: (12, 40, 18)→(12 + 18) + 5 = 35 ≠ 40 Second option: (7, 32, 9)→(7 + 9) + 5 = 21 ≠ 32 Third option: (16, 43, 22)→(16 + 22) + 5 = 43 Fourth option: (15, 34, 19)→(15 + 19) + 5 = 39 ≠ 34
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.) (812, 879, 947) (648, 715, 783)
Option 1: (428, 495, 573)
Option 2: (596, 664, 731)
Option 3: (612, 679, 747)
Option 4: (342, 409, 478)
Correct Answer: (612, 679, 747)
Solution : Given: (812, 879, 947); (648, 715, 783)
Add 67 in the first number to get the second number and add 68 in the second number to get the third number. ⇒ (812, 879, 947)→812 + 67 = 879, 879 + 68 = 947 ⇒ (648, 715, 783)→648 + 67 = 715 715 + 68 = 783
Let's check each option – First option: (428, 495, 573)→428 + 67 = 495, 495 + 68 = 563 ≠ 573 Second option: (596, 664, 731)→596 + 67 = 663 ≠ 664, 664 + 68 = 732 ≠ 731 Third option: (612, 679, 747)→612 + 67 = 679, 679 + 68 = 747 Fourth option: (342, 409, 478)→342 + 67 = 409, 409 + 68 = 477 ≠ 478
So, only the third option follows the same pattern 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 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.) (1, 16, 3) (21, 529, 2)
Option 1: (5, 189, 8)
Option 2: (7, 364, 12)
Option 3: (11, 429, 2)
Option 4: (8, 100, 2)
Correct Answer: (8, 100, 2)
Solution : Given: (1, 16, 3); (21, 529, 2)
The square of the sum of the first and third numbers is equal to the second number – ⇒ (1, 16, 3)→(1 + 3)2 = (4)2 = 16 ⇒ (21, 529, 2)→(21 + 2)2 = (23)2 = 529 Let's check each option – First option: (5, 189, 8)→(5 + 8)2 = (13)2 = 169 ≠ 189 Second option: (7, 364, 12)→(7 + 12)2 = (19)2 = 361 ≠ 364 Third option: (11, 429, 2)→(11 + 2)2 = (13)2 = 169 ≠ 429 Fourth option: (8, 100, 2)→(8 + 2)2 = (10)2 = 100
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 set in which the numbers are NOT related in the same way as the numbers of 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.) (267, 128, 139)
Option 1: (267, 132, 135)
Option 2: (325, 112, 215)
Option 3: (365, 154, 211)
Option 4: (297, 146, 151)
Correct Answer: (325, 112, 215)
Solution : Given: (267, 128, 139)
Here, (267, 128, 139)→128 + 139 = 267
Let's check the options – First option: (267, 132, 135)→132 + 135 = 267 Second option: (325, 112, 215)→112 + 215 = 327 ≠ 325 Third option: (365, 154, 211)→154 + 211 = 365 Fourth option: (297, 146, 151)→146 + 151 = 297
So, only the second option does not follow 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.) (42, 18, 3) (36, 14, 4)
Option 1: (34, 13, 4)
Option 2: (50, 20, 4)
Option 3: (46, 18, 4)
Option 4: (42, 15, 5)
Correct Answer: (34, 13, 4)
Solution : Given: (42, 18, 3); (36, 14, 4)
Add the second and third numbers then multiply the resultant number by 2 to obtain the first number in the given set of numbers – ⇒ (42, 18, 3)→(18 + 3) × 2 = 21 × 2 = 42 ⇒ (36, 14, 4)→(14 + 4) × 2 = 18 × 2 = 36
Let's check the options –
First option: (34, 13, 4)→(13 + 4) × 2 = 17 × 2 = 34 Second option: (50, 20, 4)→(20 + 4) × 2 = 24 × 2 = 48 ≠ 50 Third option: (46, 18, 4)→(18 + 4) × 2 = 22 × 2 = 44 ≠ 46 Fourth option: (42, 15, 5)→(15 + 5) × 2 = 20 × 2 = 40 ≠ 42
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 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.) (11, 121, 1331) (13, 169, 2197)
Option 1: (9, 729, 81)
Option 2: (6, 36, 324)
Option 3: (5, 25, 625)
Option 4: (7, 49, 343)
Correct Answer: (7, 49, 343)
Solution : Given: (11, 121, 1331); (13, 169, 2197)
Here, (11, 121, 1331)→(11)2 = 121; (11)3 = 1331 (13, 169, 2197)→(13)2 = 169; (13)3 = 2197
Let's check the options – First option: (9, 729, 81)→(9)2 = 81 ≠ 729; (9)3 = 729 ≠ 81 Second option: (6, 36, 324)→(6)2 = 36; (6)3 = 216 ≠ 324 Third option: (5, 25, 625)→(5)2 = 25; (5)3 = 125 ≠ 625 Fourth option: (7, 49, 343)→(7)2 = 49; (7)3 = 343
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.) (76, 4, 19) (98, 2, 49)
Option 1: (84, 12, 4)
Option 2: (72, 4, 18)
Option 3: (99, 3, 66)
Option 4: (88, 2, 22)
Correct Answer: (72, 4, 18)
Solution : Given: (76, 4, 19); (98, 2, 49)
Here, the pattern followed is as follows – ⇒ (76, 4, 19)→76 ÷ 19 = 4 ⇒ (98, 2, 49)→98 ÷ 49 = 2
First option: (84, 12, 4)→84 ÷ 4 = 21 ≠ 12 Second option: (72, 4, 18)→72 ÷ 18 = 4 Third option: (99, 3, 66)→99 ÷ 66 = 1.5 ≠ 3 Fourth option: (88, 2, 22)→88 ÷ 22 = 4 ≠ 2
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 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, 60, 5) (14, 56, 4)
Option 1: (7, 70, 8)
Option 2: (20, 5, 7)
Option 3: (10, 100, 10)
Option 4: (4, 20, 8)
Correct Answer: (10, 100, 10)
Solution : Given: (12, 60, 5); (14, 56, 4)
Multiply the first number by the third number to get the second number – ⇒ (12, 60, 5)→(12 × 5 ) = 60 ⇒ (14, 56, 4)→(14 × 4 ) = 56
Let's check each option – First option: (7, 70, 8)→(7 × 8) = 56 ≠ 70 Second option: (20, 5, 7)→(20 × 7) = 140 ≠ 5 Third option: (10, 100, 10)→(10 × 10) = 100 Fourth option: (4, 20, 8)→(4 × 8) = 32 ≠ 20
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