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.) (3, 6, 18); (5, 7, 35)
Option 1: (8, 13, 94)
Option 2: (7, 12, 74)
Option 3: (8, 12, 86)
Option 4: (6, 14, 84)
Correct Answer: (6, 14, 84)
Solution : Given: (3, 6, 18); (5, 7, 35)
In the above-given sets, multiply the first and second numbers to get the third number. (3, 6, 18)→3 × 6 = 18 (5, 7, 35)→5 × 7 = 35 Let's check each option – First option: (8, 13, 94)→8 × 13 = 104 ≠ 94 Second option: (7, 12, 74)→7 × 12 = 84 ≠ 74 Third option: (8, 12, 86)→8 × 12 = 98 ≠ 86 Fourth option: (6, 14, 84)→6 × 14 = 84
So, (6, 14, 84) follows the same pattern. 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.) (56, 5, 9) (80, 8, 12)
Option 1: (172, 8, 15)
Option 2: (151, 4, 13)
Option 3: (143, 12, 18)
Option 4: (100, 11, 14)
Correct Answer: (100, 11, 14)
Solution : Given: (56, 5, 9) (80, 8, 12)
The second and the third number is added and the resultant is multiplied by 4 to obtain the first number. (56, 5, 9)→56 = (5 + 9) × 4 = 14 × 4 = 56 (80, 8, 12)→80 = (8 + 12) × 4 = 20 × 4 = 80
Let's check the options – First option: (172, 8, 15) = (8 + 15) × 4 = 23 × 4 = 92 ≠ 172 Second option: (151, 4, 13) = (4 + 13) × 4 = 17 × 4 = 68 ≠ 151 Third option: (143, 12, 18) = (12 + 18) × 4 = 30 × 4 = 120 ≠ 143 Fourth option: (100, 11, 14) = (11 + 14) × 4 = 25 × 4 = 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 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.) (122, 136, 24) (222, 248, 36)
Option 1: (30, 367, 78)
Option 2: (189, 213, 32)
Option 3: (145, 244, 89)
Option 4: (212, 258, 56)
Correct Answer: (212, 258, 56)
Solution : Given: (122, 136, 24); (222, 248, 36)
Here, (122, 136, 24)→(136 – 122) + 10 = 14 + 10 = 24 (222, 248, 36)→(248 – 222) + 10 = 26 + 10 = 36
Let's check the options – First option: (30, 367, 78)→(367 – 30) + 10 = 337 + 10 = 347 ≠ 78 Second option: (189, 213, 32)→(213 – 189) + 10 = 24 + 10 = 34 ≠ 32 Third option:(145, 244, 89)→(244 – 145) + 10 = 99 + 10 = 109 ≠ 89 Fourth option:(212, 258, 56)→(258 – 212) + 10 46 + 10 = 56
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.) (339, 440, 541) (201, 302, 403)
Option 1: (388, 488, 590)
Option 2: (332, 432, 533)
Option 3: (437, 538, 639)
Option 4: (536, 638, 738)
Correct Answer: (437, 538, 639)
Solution : Given: (339, 440, 541); (201, 302, 403)
Add 101 to the first and second numbers, to get the second and third numbers respectively – (339, 440, 541)→339 + 101 = 440; 440 + 101 = 541 (201, 302, 403)→201 + 101 = 302; 302 + 101 = 403
Let's check the options – First option: (388, 488, 590)→388 + 101 = 489 ≠ 488; 488 + 101 = 589 ≠ 590 Second option: (332, 432, 533)→332 + 101 = 433 ≠ 432; 432 + 101 = 533 Third option: (437, 538, 639)→437 + 101 = 538; 538 + 101 = 639 Fourth option: (536, 638, 738)→536 + 101 = 637 ≠ 638; 638 + 101 = 739 ≠ 738
So, only the third option follows the same logic as 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.) (0.20, 5, 25) (0.083, 12, 144)
Option 1: (0.240, 4, 16)
Option 2: (0.143, 6, 36)
Option 3: (0.056, 18, 289)
Option 4: (0.0625, 16, 256)
Correct Answer: (0.0625, 16, 256)
Solution : Given: (0.20, 5, 25); (0.083, 12, 144)
In the above-given sets, the pattern followed is as follows – (0.20, 5, 25)→5 ÷ 25 = 0.20; 5; (5)2 = 25 (0.083, 12, 144)→12 ÷ 144 = 0.083; 12; (12)2 = 144 Let's check the given options – First option: (0.240, 4, 16)→4 ÷ 16 = 0.250 ≠ 0.240; 4; (4)2 = 16 Second option: (0.143, 6, 36)→6 ÷ 36 = 0.167 ≠ 0.143; 6; (6)2 = 36 Third option: (0.056, 18, 289)→18 ÷ 289 = 0.062 ≠ 0.056; 18; (18)2 = 324 ≠ 289 Fourth option: (0.0625, 16, 256)→16 ÷ 256 = 0.0625; 16; (16)2 = 256
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.) (8, 540, 60) (9, 70, 7)
Option 1: (12, 56, 60)
Option 2: (8, 63, 7)
Option 3: (9, 54, 12)
Option 4: (9, 45, 7)
Correct Answer: (8, 63, 7)
Solution : Given: (8, 540, 60); (9, 70, 7)
Like, (8, 540, 60)→(8 + 1) × 60 = 9 × 60 = 540 (9, 70, 7)→(9 + 1)× 7 = 10 × 7 = 70
Let's check the options – First option: (12, 56, 60)→(12 + 1) × 60 = 13 × 60 = 780 ≠ 56 Second option: (8, 63, 7)→(8 + 1) × 7 = 9 × 7 = 63 Third option: (9, 54, 12)→(9 + 1) × 12 = 10 × 12 = 120 ≠ 54 Fourth option: (9, 45, 7)→(9 + 1) × 7 = 10 × 7 = 70 ≠ 45
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: In the following question, which one set of letters when sequentially placed at the gaps in the given letter series shall complete it? _bcab_abc_b_
Option 1: acac
Option 2: bbca
Option 3: caca
Option 4: aacc
Correct Answer: acac
Solution : Given: _bcab_abc_b_
First, divide the series before filling it→_bc / ab_ / abc / _b_ Now, check the order of the letters in the given series→abc / abc / abc / abc (abc is repeated in the series.)
The series becomes→abcabcabcabc. 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 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. 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (6, 4, 48) (8, 5, 80)
Option 1: (3, 7, 42)
Option 2: (2, 7, 14)
Option 3: (5, 7, 42)
Option 4: (4, 6, 36)
Correct Answer: (3, 7, 42)
Solution : Given: (6, 4, 48); (8, 5, 80)
Multiply the first number and the second number, and then multiply the resultant number by 2 to obtain the third number in the given set of numbers. ⇒ (6, 4, 48)→(6 × 4) × 2 = 24 × 2 = 48 ⇒ (8, 5, 80)→(8 × 5) × 2 = 40 × 2 = 80
Let's check the options First option: (3, 7, 42)→(3 × 7) × 2 = 21 × 2 = 42 Second option: (2, 7, 14)→(2 × 7) × 2 = 14 × 2 = 28 ≠ 14 Third option: (5, 7, 42)→(5 × 7) × 2 = 35 × 2 = 70 ≠ 42 Fourth option: (4, 6, 36)→(4 × 6) × 2 = 24 × 2 = 48 ≠ 36
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 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.) (329, 145, 184); (567, 221, 346)
Option 1: (308, 205, 192)
Option 2: (506, 302, 224)
Option 3: (676, 225, 451)
Option 4: (464, 264, 206)
Correct Answer: (676, 225, 451)
Solution : Given: (329, 145, 184); (567, 221, 346)
Like, (329, 145, 184)→145 + 184 = 329 (567, 221, 346)→221 + 346 = 567
Let's check the options – First option: (308, 205, 192)→205 + 192 = 397 ≠ 308 Second option: (506, 302, 224)→302 + 224 = 526 ≠ 506 Third option: (676, 225, 451)→225 + 451 = 676 Fourth option: (464, 264, 206)→264 + 206 = 470 ≠ 464
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.) (76, 75, 1) (90, 87, 9)
Option 1: (100, 85, 125)
Option 2: (56, 48, 64)
Option 3: (16, 4, 57)
Option 4: (87, 56, 900)
Correct Answer: (56, 48, 64)
Solution : Given: (76, 75, 1); (90, 87, 9)
Subtract the second number from the first number then square the result to find the third number. ⇒ (76, 75, 1); 76 – 75 = 1; 12 = 1 ⇒ (90, 87, 9); 90 – 87 = 3; 32 = 9 Let's check the options – First option: (100, 85, 125); 100 – 85 = 15; 152 = 225 ≠ 125 Second option: (56, 48, 64); 56 – 48 = 8; 82 = 64 Third option: (16, 4, 57); 16 – 4 = 12; 122 = 144 ≠ 57 Fourth option: (87, 56, 900); 87 – 56 = 31; 312 = 961 ≠ 900
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