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.) (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)→4
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
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
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
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}
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,
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
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)
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
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;
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