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.) (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 (144, 9, 18)→(144 ÷ 9) + 2 = 16 + 2 = 18 Let's check the options – First option: (54, 9, 4)→(54 ÷ 9) + 2 = 6 + 2 = 8 ≠ 4 Second option: (156, 8, 19)→(156 ÷ 8) + 2 = 19.5 + 2 = 21.5 ≠ 19 Third option: (72, 8, 9)→(72 ÷ 8) + 2 = 9 + 2 = 11 ≠ 9 Fourth option: (133, 7, 21)→(133 ÷ 7) + 2 = 19 + 2 = 21
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 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 ÷ 32 = 196 ÷ 32 = 6.125 ≠ 1 Second option: (36, 16, 9)→(16)2 ÷ 36 = 256 ÷ 36 = 7.11 ≠ 9 Third option: (25, 18, 16)→(18)2 ÷ 25 = 324 ÷ 25 = 12.96 ≠ 16 Fourth option: (25, 10, 4)→(10)2 ÷ 25 = 100 ÷ 25 = 4
So, only the fourth 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 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 + 169) × 2 = 185 × 2 = 370
Let's check each option – First option: (8, 12, 416)→((8)2 + (12)2) × 2 = (64 + 144) × 2 = 208 × 2 = 416 Second option: (7, 11, 380)→((7)2 + (11)2) × 2 = (49 + 121) × 2 = 170 × 2 = 340 ≠ 380 Third option: (8, 9, 300)→((8)2 + (9)2) × 2 = (64 + 81) × 2 = 145 × 2 = 290 ≠ 300 Fourth option: (8, 10, 326)→((8)2 + (10)2) × 2 = (64 + 100) × 2 = 164 × 2 = 328 ≠ 326
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.) (12, 172, 74) (28, 168, 56)
Option 1: (16, 115, 34)
Option 2: (28, 128, 36)
Option 3: (18, 130, 38)
Option 4: (14, 130, 42)
Correct Answer: (28, 128, 36)
Solution : Given: (12, 172, 74); (28, 168, 56)
Here, (12, 172, 74)→(12 + 74) × 2 = 86 × 2 = 172 (28, 168, 56)→(28 + 56) × 2 = 84 × 2 = 128
Let's check each option – First option: (16, 115, 34)→(16 + 34) × 2 = 50 × 2 = 100 ≠ 115 Second option: (28, 128, 36)→(28 + 36) × 2 = 64 × 2 = 128 Third option: (18, 130, 38)→(18 + 38) × 2 = 56 × 2 = 112 ≠ 130 Fourth option: (14, 130, 42)→(14 + 42) = 56 × 2 = 112 ≠ 130
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 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.) (12, 21, 84)
Option 1: (14, 21, 98)
Option 2: (14, 18, 84)
Option 3: (16, 15, 80)
Option 4: (24,18, 96)
Correct Answer: (24,18, 96)
Solution : Given: (12, 21, 84)
Subtract 2 from the difference of the first two numbers and multiply the resultant with the first number, to get the third number – ⇒ (12, 21, 84)→12 × (21 – 12 – 2) = 12 × 7 = 84
Let's check each option – First option: (14, 21, 98)→14 × (21 – 14 – 2) = 14 × 5 = 70 ≠ 98 Second option: (14, 18, 84)→14 × (18 – 14 – 2) = 14 × 2 = 28 ≠ 84 Third option: (16, 15, 80)→16 × (16 – 15 – 2) = 16 × 1 = 16 ≠ 80 Fourth option: (24, 18, 96)→24 × (24 – 18 – 2) = 24 × 4 = 96
So, only the fourth option follows the same pattern as the given set of numbers. Hence, the fourth 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). (34, 23, 12) (71, 37, 3)
Option 1: (75, 50, 20)
Option 2: (20, 65, 50)
Option 3: (19, 55, 91)
Option 4: (14, 12, 16)
Correct Answer: (19, 55, 91)
Solution : Given: (34, 23, 12); (71, 37, 3)
Here, (34, 23, 12)→(34 + 12) ÷ 2 = 46 ÷ 2 = 23 (71, 37, 3)→(71 + 3) ÷ 2 = 74 ÷ 2 = 37
Let's check the options – First option: (75, 50, 20)→(75 + 20) ÷ 2 = 95 ÷ 2 = 47.5 ≠ 20 Second option: (20, 65, 50)→(20 + 50) ÷ 2 = 70 ÷ 2 = 35 ≠ 50 Third option: (19, 55, 91)→(19 + 91) ÷ 2 = 110 ÷ 2 = 55 Fourth option: (14, 12, 16)→(14 + 16) ÷ 2 = 30 ÷ 2 = 15 ≠ 12
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.) (15, 25, 35) (45, 55, 65)
Option 1: (55, 65, 75)
Option 2: (45, 55, 70)
Option 3: (55, 75, 85)
Option 4: (55, 60, 70)
Correct Answer: (55, 65, 75)
Solution : Given: (15, 25, 35); (45, 55, 65)
Add 10 to the first and second numbers, to get the second and third numbers respectively – ⇒ (15, 25, 35)→15 + 10 = 25, 25 + 10 = 35 ⇒ (45, 55, 65)→45 + 10 = 55, 55 + 10 = 65
Let's check each option – First option: (55, 65, 75)→55 + 10 = 65, 65 + 10 = 75 Second option: (45, 55, 70)→45 + 10 = 55, 55 + 10 = 65 ≠ 70 Third option: (55, 75, 85)→55 + 10 = 65 ≠ 75, 75 + 10 = 85 Fourth option: (55, 60, 70)→55 + 10 = 65 ≠ 60, 60 + 10 = 70
So, only the first option follows the same pattern as the given number pair. Hence, the first option is correct.
Question : Case Study 26:
A consumer purchased a set of expensive speakers from a well-known store. After a few days, the speakers stopped functioning. The consumer contacted the store for a replacement, but they refused, stating that electronic items are non-returnable. What action can the consumer take in this situation?
Option 1: File a complaint with the National Consumer Disputes Redressal Commission.
Option 2: Lodge a complaint with the District Consumer Disputes Redressal Forum.
Option 3: Contact the Advertising Standards Council of India (ASCI) for assistance.
Option 4: Accept the store's policy and give up on any hope of a replacement.
Correct Answer: Lodge a complaint with the District Consumer Disputes Redressal Forum.
Solution : The correct answer is (b) Lodge a complaint with the District Consumer Disputes Redressal Forum.
In this situation, where the consumer purchased a set of expensive speakers that stopped functioning shortly after purchase and the store refused a replacement based on a policy, the consumer can typically lodge a complaint with the District Consumer Disputes Redressal Forum. These forums handle consumer complaints and disputes, and they can help in resolving issues related to defective or non-functional products. It's important for consumers to be aware of their rights and pursue a resolution through the appropriate consumer forum.
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. with 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed.) (23, 308, 15) (18, 187, 12)
Option 1: (14, 104, 9)
Option 2: (19, 325, 27)
Option 3: (20, 280, 14)
Option 4: (16, 122, 7)
Correct Answer: (14, 104, 9)
Solution : Given: (23, 308, 15); (18, 187, 12)
Multiply the first number by the difference of the third number and 1. Then, subtract the result with the difference of the third number and 1, to get the second number – (23, 308, 15)→{23 × (15 – 1)} – (15 – 1) = {23 × 14} – 14 = 308 (18, 187, 12)→{18 × (12 – 1)} – (12 – 1) = {18 × 11} – 11 = 187
Let's check the options – First option: (14, 104, 9)→{14 × (9 – 1)} – (9 – 1) = {14 × 8} – 8 = 104 Second option: (19, 325, 27)→{19 × (27 – 1)} – (27 – 1) = {19 × 26} – 26 = 468 ≠ 325 Third option: (20, 280, 14)→{20 × (14 – 1)} – (14 – 1) = {20 × 13} – 13 = 247 ≠ 280 Fourth option: (16, 122, 7)→{16 × (7 – 1)} – (7 – 1) = {16 × 6} – 6 = 90 ≠ 122
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.) (4, 1, 25) (8, 5, 169)
Option 1: (10, 8, 361)
Option 2: (4, 9, 144)
Option 3: (5, 9, 196)
Option 4: (2, 7, 100)
Correct Answer: (5, 9, 196)
Solution : Given: (4, 1, 25); (8, 5, 169)
Here, (4, 1, 25)→(4 + 1)2 = (5)2 = 25 (8, 5, 169)→(8 + 5)2 = (13)2 = 169
Let's check the options – First option: (10, 8, 361)→(10 + 8)2 = (18)2 = 324 ≠ 361 Second option: (4, 9, 144)→(4 + 9)2 = (13)2 = 169 ≠ 144 Third option: (5, 9, 196)→(5 + 9)2 = (14)2 = 196 Fourth option: (2, 7, 100)→(2 + 7)2 = (9)2 = 81 ≠ 100
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