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.) (4, 60, 5) (5, 90, 6)
Option 1: (7, 84, 4)
Option 2: (9, 63, 2)
Option 3: (11,132, 6)
Option 4: (3, 72, 6)
Correct Answer: (7, 84, 4)
Solution : Given: (4, 60, 5); (5, 90, 6)
The product of the first and third numbers is multiplied by 3, to get the second number – ⇒ (4, 60, 5)→(4 × 5) × 3 = 60 ⇒ (5, 90, 6)→(5 × 6) × 3 = 90
Let's check each option – First option: (7, 84, 4)→(7 × 4) × 3 = 84 Second option: (9, 63, 2)→(9 × 2) × 3 = 54 ≠ 63 Third option: (11, 132, 6)→(11 × 6) × 3 = 198 ≠ 132 Fourth option: (3, 72, 6)→(3 × 6) × 3 = 54 ≠ 72
So, only the first option follows the same pattern as the given number pair. 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.) (14, 17, 970) (15, 23, 1508)
Option 1: (17, 24, 1730)
Option 2: (16, 22, 1580)
Option 3: (18, 32, 2686)
Option 4: (19, 31, 2642)
Correct Answer: (17, 24, 1730)
Solution : Given: (14, 17, 970); (15, 23, 1508) The pattern is as follows – (14, 17, 970)→{(14)2 + (17)2} × 2 = {196 + 289} × 2 = 485 × 2 = 970 (15, 23, 1508)→{(15)2 + (23)2} × 2 = {225 + 529} × 2 = 754 × 2 = 1508
Let's check the options – First option: (17, 24, 1730)→{(17)2 + (24)2} × 2 = {289 + 576} × 2 = 865 × 2 = 1730 Second option: (16, 22, 1580)→{(16)2 + (22)2} × 2 = {256 + 484} × 2 = 740 × 2 = 1480 ≠ 1580 Third option: (18, 32, 2686)→{(18)2 + (32)2} × 2 = {324 + 1024} × 2 = 1348 × 2 = 2696 ≠ 2686 Fourth option: (19, 31, 2642)→{(19)2 + (31)2} × 2 = {361 + 961} × 2 = 1322 × 2 = 2644 ≠ 2642
So, only the first option follows the same pattern as followed by the given set of numbers. Hence, the first option is correct.
Question : Mahatma Gandhi abruptly called off the Non-Cooperation Movement when, in ______, a crowd of peasants set fire to a police station in Chauri Chaura.
Option 1: June 1922
Option 2: February 1922
Option 3: December 1922
Option 4: April 1922
Correct Answer: February 1922
Solution : The correct option is February 1922.
In February 1922, during the Non-Cooperation Movement, a peaceful protest turned violent in Chauri Chaura, Uttar Pradesh, India. Angered by police actions, a crowd of peasants set fire to a police station. Mahatma Gandhi, deploring the violence, abruptly called off the Non-Cooperation Movement, as he believed it had lost its non-violent essence.
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.) (8, 27, 125) (64,1331, 1728)
Option 1: (289, 212,196)
Option 2: (200, 215, 256)
Option 3: (125, 172, 144)
Option 4: (216, 343, 512)
Correct Answer: (216, 343, 512)
Solution : Given: (8, 27,125); (64,1331,1728)
The first, second, and third number is a perfect cube number – ⇒ (8, 27,125)→8 = 23; 27 = 33;125 = 53 ⇒ (64,1331,1728)→64 = 43; 1331 = 113; 1728 = 123
Let's check each option – First option: (289, 212,196)→289 = 172; 212 = Not a perfect cube number; 196 = 142; Second option: (200, 215, 256)→200 = Not a perfect cube number; 215 = Not a perfect cube number; 256 = Not a perfect cube number. Third option: (125,172,144)→125 = 53; 172 = Not a perfect cube number; 144 = Not a perfect cube number. Fourth option: (216, 343, 512)→216 = 63; 343 = 73; 512 = 83;
So, only the fourth option follows the same pattern as the given set of numbers. Hence, the fourth option is correct.
Question : Directions: In the following number pairs, the second number is obtained by applying certain mathematical operations to the first number. Select the set in which the numbers are related in the same way as the numbers of the following sets. (63, 496); (42, 328) (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: (48, 376)
Option 2: (25, 194)
Option 3: (37, 302)
Option 4: (63, 512)
Correct Answer: (48, 376)
Solution : Given: (63, 496); (42, 328)
In the given pairs, multiply the first number by 8 and then subtract 8 from the resulting number to obtain the second number. (63, 496)→(63 × 8) – 8 = 504 – 8 = 496 (42, 328)→(42 × 8) – 8 = 336 – 8 = 328 Let's check the options – First option: (48, 376); (48 × 8) – 8 = 384 – 8 = 376 Second option: (25, 194); (25 × 8) – 8 = 200 – 8 = 192 ≠ 194 Third option: (37, 302); (37 × 8) – 8 = 296 – 8 = 288 ≠ 302 Fourth option: (63, 512); (63 × 8) – 8 = 504 – 8 = 496 ≠ 512
Question : India is set to surpass ________ to become the world's most populous country by 2023, says a report by the United Nations.
Option 1: United States of America
Option 2: Indonesia
Option 3: Pakistan
Option 4: China
Correct Answer: China
Solution : The correct answer is China.
In 2023, India is poised to surpass China as the world's most populous country, reaching an estimated population of 1,425,775,850 by the end of the month, according to the latest United Nations projections. China's population, having peaked at 1.426 billion in 2022, is now on a decline, with projections suggesting it might fall below 1 billion by the end of the century. In contrast, India's population is expected to continue growing for several more decades.
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.) (12, 313, 13) (11, 185, 8)
Option 1: (12, 158, 12)
Option 2: (4, 125, 11)
Option 3: (9, 90, 3)
Option 4: (15, 150, 10)
Correct Answer: (9, 90, 3)
Solution : Given: (12, 313, 13), (11, 185, 8)
Add the square of the first and the third number to get the second number of the triad. (12, 313, 13)→12² – 144; 13² – 169; 144 + 169 = 313 (11, 185, 8)→11² – 121; 8² – 64; 121 + 64 = 185
Let's check each option – First option: (12, 158, 12)→12² – 144; 12² – 144; 144 + 144 = 288 ≠ 158 Second option: (4, 125, 11)→4² – 16; 11² – 121; 16 + 121 = 137 ≠ 125 Third option: (9, 90, 3)→9² – 81; 3² – 9; 81 + 9 = 90 Fourth option: (15, 150, 10)→15² – 225; 10² – 100; 225 + 100 = 325 ≠150
So, only the third option follows the same pattern. 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.) (6, 8, 106) (7, 11, 177)
Option 1: (8, 7, 119)
Option 2: (9, 8, 154)
Option 3: (5, 9, 101)
Option 4: (7, 9, 136)
Correct Answer: (9, 8, 154)
Solution : Given: (6, 8, 106); (7, 11, 177)
Like, (6, 8, 106)→(6)2 + (8)2 + 6 = 36 + 64 + 6 = 106 (7, 11, 177)→(7)2 + (11)2 + 7 = 49 + 121 + 7 = 177
Let's check the options – First option: (8, 7, 119)→(8)2 + (7)2 + 8 = 64 + 49 + 8 = 121 ≠ 119 Second option: (9, 8, 154)→(9)2 + (8)2 + 9 = 81 + 64 + 9 = 154 Third option: (5, 9, 101)→(5)2 + (9)2 + 5 = 25 + 81 + 5 = 111 ≠ 101 Fourth option: (7, 9, 136)→(7)2 + (9)2 + 7 = 49 + 81 + 7 = 147 ≠ 136
So, only the second option follows the same pattern as followed by the given set of numbers. Hence, the second option is correct.
Question : Comprehension:
Read the given passage and answer the questions that follow.
As the Sun inches closer to its peak activity in its solar cycle, an explosion has been picked up behind the northeastern limb of the star in our solar system. Solar observatories saw bits and pieces of the explosion, which remain obscured in view from Earth's orbit.
The explosion was spotted on 31 July at around 2309 UT and Earth-orbiting satellites registered a long-lasting C9.3-class solar flare. "The intensity is probably an underestimate because it was partially eclipsed by the edge of the sun. Nasa's Solar Dynamics Observatory (SDO) saw hot debris flying away from the blast site," space weather, which tracks the solar activity, reported.
While the explosion was powerful, experts have predicted that Earth is not in the line of fire from the Sun. Scientists are expected to get a view of the active region later this week as it comes to sight. Earth is not in the line of fire. The explosion is significant because it may herald an active region set to emerge over the sun's northeastern limb later this week. A new sunspot group could bring an end to weeks of relative quiet," Space Weather said in its report.
Select the most appropriate synonym of the given word from the passage.
Debris
Option 1: Detritus
Option 2: Rays
Option 3: Specks
Option 4: Liquid
Correct Answer: Detritus
Solution : The correct choice is the first option.
Debris means the remains of something that is broken or destroyed. Detritus means waste material left, especially after a particular event, making it a synonym for "debris".
The meanings of the other options are as follows:
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 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, 13, 56) (17, 11, 168)
Option 1: (22, 16, 238)
Option 2: (23, 21, 78)
Option 3: (15, 11, 114)
Option 4: (20, 14, 204)
Correct Answer: (20, 14, 204)
Solution : Given: (15, 13, 56); (17, 11, 168)
Multiply the sum of the first two numbers with the difference of the first two numbers, to get the third number – (15, 13, 56)→(15 + 13) × (15 – 13) = 28 × 2 = 56 (17, 11, 168)→(17 + 11) × (17 – 11) = 28 × 6 = 168
Let's check each option – First option: (22, 16, 238)→(22 + 6) × (22 – 16) = 28 × 6 = 168 ≠ 238 Second option: (23, 21, 78)→(23 + 21) × (23 – 21) = 44 × 2 = 88 ≠ 78 Third option: (15, 11, 114)→(15 + 11) × (15 – 11) = 26 × 4 = 104 ≠ 114 Fourth option: (20, 14, 204)→(20 + 14) × (20 – 14) = 34 × 6 = 204
So, only the fourth option follows the same pattern as followed by the given set of numbers. Hence, the fourth option is correct.
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