Symbiosis Entrance Test
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.) (16, 7, 112)
Option 1: (18, 3, 54)
Option 2: (14, 5, 70)
Option 3: (22, 7, 154)
Option 4: (26, 5, 132)
Correct Answer: (26, 5, 132)
Solution : Given: (16, 7, 112)
Here, (16, 7, 112)→16 × 7 = 112
Let's check the options – First option: (18, 3, 54)→18 × 3 = 54 Second option: (14, 5, 70)→14 × 5 = 70 Third option: (22, 7, 154)→22 × 7 = 154 Fourth option: (26, 5, 132)→26 × 5 = 130 ≠ 132
So, only the fourth option does not follow the same pattern as followed by the given set of numbers. Hence, the fourth option is correct.
Question : Case Study 34:
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) Lodging a complaint with the District Consumer Disputes Redressal Forum.
The District Consumer Disputes Redressal Forum is the appropriate authority to address consumer complaints and disputes, including issues with defective products. They can help resolve the matter, and in many cases, they may rule in favor of the consumer, ensuring that the store follows consumer protection laws.
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.) (44, 63, 98) (59, 99, 149)
Option 1: (81, 15, 87)
Option 2: (54, 73, 121)
Option 3: (19, 32, 44)
Option 4: (82, 13, 96)
Correct Answer: (81, 15, 87)
Solution : Given: (44, 63, 98); (59, 99, 149)
In the given sets, the sum of the first and second numbers equals the sum of the third number and 9. (44, 63, 98)→44 + 63 = 107; 98 + 9 = 107 (59, 99, 149)→59 + 99 = 158; 149 + 9 = 158 Let's check the options – First option: (81, 15, 87)→81 + 15 = 96; 87 + 9 = 96 Second option: (54, 73, 121)→54 + 73 = 127; 121 + 9 = 130 ≠ 127 Third option: (19, 32, 44)→19 + 32 = 51; 44 + 9 = 53 ≠ 51 Fourth option: (82, 13, 96)→82 + 13 = 95; 96 + 9 = 105 ≠ 95
So, only the first option, follows the pattern of the given sets. 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, 144, 1728) (6, 36, 216)
Option 1: (11, 121, 1000)
Option 2: (14, 196, 2197)
Option 3: (10, 100, 1000)
Option 4: (8, 64, 729)
Correct Answer: (10, 100, 1000)
Solution : Given: (12, 144, 1728); (6, 36, 216)
Here, (12, 144, 1728)→(12)2 = 144; (12)3 = 1728 (6, 36, 216)→(6)2 = 36; (6)3 = 216
Let's check each option – First option: (11, 121, 1000)→(11)2 = 121; (11)3 = 1331 ≠ 1000 Second option: (14, 196, 2197)→(14)2 = 196; (14)3 = 2744 ≠ 2197 Third option: (10, 100, 1000)→(10)2 = 100; (10)3 = 1000 Fourth option: (8, 64, 729)→(8)2 = 64; (8)3 = 512 ≠ 729
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 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.) (25, 9, 56) (13, 14, 183)
Option 1: (42, 12, 228)
Option 2: (11, 16, 135)
Option 3: (19, 23, 511)
Option 4: (27, 15, 198)
Correct Answer: (27, 15, 198)
Solution : Given: (25, 9, 56); (13, 14, 183)
(25, 9, 56)→25 + 56 = 81 = (9)² (13, 14, 183)→13 + 183 = 196 = (14)²
Now, let's check the given options – First option: (42, 12, 228) = 42 + 228 = 270; 270 is not a perfect square. Second option: (11, 16, 135) = 11 + 135 = 146; 146 is not a perfect square. Third option: (19, 23, 511) ≠ 19 + 511 = 530; 530 is not a perfect square. Fourth option: (27, 15, 198) 27 + 198 = 225 = (15)²
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.) (48, 16, 192) (22, 62, 341)
Option 1: (32, 24, 222)
Option 2: (74, 38, 713)
Option 3: (84, 78, 1638)
Option 4: (92, 46, 1068)
Correct Answer: (84, 78, 1638)
Solution : Given: (48, 16, 192) (22, 62, 341)
Here, (48, 16, 192)→(48 ÷ 2) × (16 ÷ 2) = 24 × 8 = 192 (22, 62, 341)→(22 ÷ 2) × (62 ÷ 2) = 11 × 31 = 341
Now, let's check the options – First option: (32, 24, 222)→(32 ÷ 2) × (24 ÷ 2) = 16 × 12 = 192 ≠ 222 Second option: (74, 38, 713)→(74 ÷ 2) × (38 ÷ 2) = 37 × 19 =703 ≠ 713 Third option: (84, 78, 1638)→(84 ÷ 2) × (78 ÷ 2) = 42 × 39 = 1638 Fourth option: (92, 46, 1068)→(92 ÷ 2) × (46 ÷ 2) = 46 × 23 = 1058 ≠ 1068
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.) (168, 35, 143) (182, 65, 127)
Option 1: (142, 83, 69)
Option 2: (253, 99, 154)
Option 3: (203, 89, 117)
Option 4: (159, 62, 87)
Correct Answer: (142, 83, 69)
Solution : Given: (168, 35, 143); (182, 65, 127)
In the given sets, subtract the third number from the first number and then add 10. (168, 35, 143)→168 – 143 = 25; 25 + 10 = 35 (182, 65, 127)→182 – 127 = 55; 55 + 10 = 65 Let's check the options – First option: (142, 83, 69)→142 – 69 = 73; 73 + 10 = 83 Second option: (253, 99, 154)→253 – 154 = 99; 99 + 10 = 109 ≠ 99 Third option: (203, 89, 117)→203 – 117 = 86; 86 + 10 = 96 ≠ 89 Fourth option: (159, 62, 87)→159 – 87 = 72; 72 + 10 = 82 ≠ 62
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 set. (6, 22, 14); (8, 30, 19) (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: (12, 46, 27)
Option 2: (4, 18, 11)
Option 3: (7, 26, 17)
Option 4: (9, 34, 22)
Correct Answer: (4, 18, 11)
Solution : Given: (6, 22, 14); (8, 30, 19)
Here, the pattern followed is as follows – (6, 22, 14)→(14 × 2) – 6 = 28 – 6 = 22 (8, 30, 19)→(19 × 2) – 8 = 38 – 8 = 30 Let's check the options – First option: (12, 46, 27)→(27 × 2) – 12 = 54 – 12 = 42 ≠ 46 Second option: (4, 18, 11)→(11 × 2) – 4 = 22 – 4 = 18 Third option: (7, 26, 17)→(17 × 2) – 7 = 34 – 7 = 27 ≠ 26 Fourth option: (9, 34, 22)→(22 × 2) – 9 = 44 – 9 = 35 ≠ 34
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 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, 15,1) (5, 6, 3)
Option 1: (12, 46, 5)
Option 2: (7, 42, 5)
Option 3: (5, 32, 7)
Option 4: (15, 21, 8)
Correct Answer: (15, 21, 8)
Solution : Given: (6, 15, 1); (5, 6, 3)
The third number is subtracted from the first number and the resultant is multiplied by 3 to obtain the middle number. (6, 15, 1)→6 – 1 = 5; 5 × 3 = 15 (5, 6, 3)→5 – 3 = 2; 2 × 3 = 6 Let's check each option – First option: (12, 46, 5)→12 – 5 = 7; 7 × 3 = 21 ≠ 46 Second option: (7, 42, 5)→7 – 5 = 2; 2 × 3 = 6 ≠ 42 Third option: (5, 32, 7)→5 – 7 = –2; –2 × 3 = –6 ≠ 32 Fourth option: (15, 21, 8)→15 – 8 = 7; 7 × 3 = 21
So, the set of numbers given in the fourth option follows the same pattern. 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.) (28, 53, 78); (34, 49, 64)
Option 1: (46, 69, 71)
Option 2: (22, 54, 66)
Option 3: (38, 40, 42)
Option 4: (54, 55, 27)
Correct Answer: (38, 40, 42)
Solution : Given: (28, 53, 78); (34, 49, 64)
Here, (28, 53, 78)→(28 + 78) ÷ 2 = 106 ÷ 2 = 53 (34, 49, 64)→(34 + 64) ÷ 2 = 98 ÷ 2 = 49
Let's check the options – First option: (46, 69, 71)→(46 + 71) ÷ 2 = 117 ÷ 2 = 58.5 ≠ 69 Second option:(22, 54, 66)→(22 + 66) ÷ 2 = 88 ÷ 2 = 44 ≠ 54 Third option:(38, 40, 42)→(38 + 42) ÷ 2 = 80 ÷ 2 = 40 Fourth option:(54, 55, 27)→(54 + 27) ÷ 2 = 81 ÷2 = 40.5 ≠ 55
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