Symbiosis Entrance Test
Question : Direction: Which set of letters when sequentially placed at the gaps in the given letter series shall complete it? cc_b_c_ba_ab
Option 1: ccac
Option 2: cbaa
Option 3: aabb
Option 4: cdab
Correct Answer: ccac
Solution : Given: cc_b_c_ba_ab
To fill the series we have to divide the series – cc_b / _c_b / a_ab Let's check each option – First option: ccac; cccb / ccab / acab Second option: cbaa; cccb / bcab / aaab Third option: aabb; ccab / acbb / abab Fourth option: cdab; cccb / dcab / abab
So, the series becomes → cccbccabacab. 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.) (13, 18, 21); (11, 25, 8)
Option 1: (6, 10, 12)
Option 2: (4, 12, 24)
Option 3: (8, 16, 23)
Option 4: (14, 33, 9)
Correct Answer: (14, 33, 9)
Solution : Given: (13, 18, 21); (11, 25, 8)
Like, (13, 18, 21)→(18 + 21) ÷ 3 = 39 ÷ 3 = 13 (11, 25, 8)→(25 + 8) ÷ 3 = 33 ÷ 3 = 11
Let's check the options – First option: (6, 10, 12)→(10 + 12) ÷ 3 = 22 ÷ 3 = 7.33 ≠ 6 Second option: (4, 12, 24)→(12 + 24) ÷ 3 = 36 ÷ 3 = 12 ≠ 4 Third option: (8, 16, 23)→(16 + 23) ÷ 3 = 39 ÷ 3 = 13 ≠ 8 Fourth option: (14, 33, 9)→(33 + 9) ÷ 3 = 42 ÷ 3 = 14
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.) (56 – 26 – 60) (19 – 8 – 22)
Option 1: (60 – 18 – 21)
Option 2: (35 – 16 – 18)
Option 3: (86 – 36 – 100)
Option 4: (22 – 5 – 23)
Correct Answer: (86 – 36 – 100)
Solution : Given: (56 – 26 – 60); (19 – 8 – 22)
Here, (56 – 26 – 60)→56 – 26 = 30; 30 × 2 = 60 (19 – 8 – 22)→19 – 8 = 11; 11 × 2 = 22
Let's check the options – First option: (60 – 18 – 21)→60 – 18 = 42; 42 × 2 = 84 ≠ 21 Second option: (35 – 16 – 18)→35 – 16 = 19; 19 × 2 = 38 ≠ 18 Third option: (86 – 36 – 100)→86 – 36 = 50; 50 × 2 = 100 Fourth option: (22 – 5 – 23)→22 – 5 = 17; 17 × 2 = 34 ≠ 23
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.) (60, 5, 6) (48, 8, 3)
Option 1: (17, 3, 4)
Option 2: (25, 4, 6)
Option 3: (24, 4, 3)
Option 4: (25, 4, 3)
Correct Answer: (24, 4, 3)
Solution : Given: (60, 5, 6); (48, 8, 3)
Divide the first number by the third number, and then divide the resultant by 2 to find the second number. Like, (60, 5, 6)→60 ÷ 6 = 10; 10 ÷ 2 = 5 And, (48, 8, 3)→48 ÷ 3 = 16; 16 ÷ 2 = 8
Let's check each option – First option: (17, 3, 4)→17 ÷ 4 = 4.25; 4.25 ÷ 2 = 2.125 ≠ 3 Second option: (25, 4, 6)→25 ÷ 6 = 4.17; 4.17 ÷ 2 = 2.08 ≠ 4 Third option: (24, 4, 3)→24 ÷ 3 = 8; 8 ÷ 2 = 4 Fourth option: (25, 4, 3)→25 ÷ 3 = 8.33; 8.33 ÷ 2 = 4.16 ≠ 4
So, only the third option follows the pattern followed by the given sets. Hence, the third option is correct.
Question : Choose which of the following statements is true.
Option 1: Debentures Redemption Reserve is set aside by all the companies except All India Financial Institutions regulated by RBI and Banking Companies.
Option 2: Amount is set aside to Debentures Redemption Reserve by Unlisted Companies which are not Non-Banking Finance Companies (NBFCs) or Housing Finance Companies (HFCs).
Option 3: Amount is set aside to Debentures Redemption Reserve by all Unlisted Companies.
Option 4: Debentures Redemption Investment is made by the companies required to set aside amount to Debentures Redemption Reserve.
Correct Answer: Amount is set aside to Debentures Redemption Reserve by Unlisted Companies which are not Non-Banking Finance Companies (NBFCs) or Housing Finance Companies (HFCs).
Solution : Answer = amount is set aside to Debentures Redemption Reserve by Unlisted Companies which are not Non-Banking Finance Companies (NBFCs) or Housing Finance Companies (HFCs).
The amount is set aside for Debentures Redemption Reserve by Unlisted Companies which are not Non-Banking Finance Companies (NBFCs) or Housing Finance Companies (HFCs) only. Unlisted companies, excluding NBFCs and HFCs, are required to set aside an amount to the Debentures Redemption Reserve as per regulatory requirements. Hence, the correct option is 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.) (7, 2, 70) (6, 4, 120)
Option 1: (3, 8, 120)
Option 2: (13, 4, 208)
Option 3: (5, 9, 270)
Option 4: (11, 6, 143)
Correct Answer: (3, 8, 120)
Solution : Given: (7, 2, 70); (6, 4, 120)
Multiply the first and the second number then multiply the resultant number by 5 to obtain the third number in the given set of numbers – ⇒ (7, 2, 70)→(7 × 2) × 5 = 14 × 5 = 70 ⇒ (6, 4, 120)→(6 × 4) × 5 = 24 × 5 = 120 Let's check the options –
First option: (3, 8, 120)→(3 × 8) × 5 = 24 × 5 = 120 Second option: (13, 4, 208)→(13 × 4) × 5 = 52 × 5 = 260 ≠ 208 Third option: (5, 9, 270)→(5 × 9) × 5 = 45 × 5 = 225 ≠ 270 Fourth option: (11, 6, 143)→(11 × 6) × 5 = 66 × 5 = 330 ≠ 143
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 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.) (5, 98, 9) (10, 168, 14)
Option 1: (1, 28, 3)
Option 2: (7, 108, 23)
Option 3: (15, 248, 19)
Option 4: (3, 88, 17)
Correct Answer: (1, 28, 3)
Solution : Given: (5, 98, 9); (10, 168, 14)
Like, (5, 98, 9)→(98 ÷ 7) – 5 = 14 – 5 = 9 (10, 168, 14)→(168 ÷ 7) – 10 = 24 – 10 = 14
Let's check the options – First option: (1, 28, 3)→(28 ÷ 7) – 1 = 4 – 1 = 3 Second option: (7, 108, 23)→(108 ÷ 7) – 7 = 15.42 – 7 = 8.42 ≠ 23 Third option: (15, 248, 19)→(248 ÷ 7) – 15 = 35.42 – 15 = 20.42 ≠ 19 Fourth option: (3, 88, 17)→(88 ÷ 7) – 3 = 12.57 – 3 = 9.57 ≠ 17
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, 28, 8) (72, 48, 12)
Option 1: (63, 36, 17)
Option 2: (119, 29, 55)
Option 3: (97, 55, 24)
Option 4: (108, 58, 25)
Correct Answer: (108, 58, 25)
Solution : Given: (12, 28, 8); (72, 48, 12)
Divide the difference between the first and the second number by 2, to get the third number – (12, 28, 8)→(28 – 12) ÷ 2 = 16 ÷ 2 = 8 (72, 48, 12)→(72 – 48) ÷ 2 = 24 ÷ 2 = 12
Let's check the options, First option: (63, 36, 17)→(63 – 36) ÷ 2 = 27 ÷ 2 = 13.5 ≠ 17 Second option: (119, 29, 55)→(119 – 29) ÷ 2 = 90 ÷ 2 = 45 ≠ 55 Third option: (97, 55, 24)→(97 – 55) ÷ 2 = 42 ÷ 2 = 21 ≠ 24 Fourth option: (108, 58, 25)→(108 – 58) ÷ 2 = 50 ÷ 2 = 25
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.) (60, 17, 13) (62, 14, 17)
Option 1: (56, 15, 13)
Option 2: (43, 9, 12)
Option 3: (55, 18, 9)
Option 4: (57, 15, 14)
Correct Answer: (56, 15, 13)
Solution : Given: (60, 17, 13); (62, 14, 17)
Add the second and third numbers and the sum is multiplied by 2 to obtain the first number in the given set of numbers – ⇒ (60, 17, 13)→17 + 13 = 30 × 2 = 60 ⇒ (62, 14, 17)→14 + 17 = 31 × 2 = 62
Let's check the options –
First option: (56, 15, 13)→15 + 13 = 28 × 2 = 56 Second option: (43, 9, 12)→9 + 12 = 21 × 2 = 42 ≠ 43 Third option: (55, 18, 9)→18 + 9 = 27 × 2 = 54 ≠ 55 Fourth option: (57, 15, 14)→15 + 14 = 29 × 2 = 58 ≠ 57
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.) (13, 7, 546) (14, 15, 1260)
Option 1: (28, 21, 3528)
Option 2: (27, 14, 2288)
Option 3: (16, 9, 874)
Option 4: (13, 15, 1190)
Correct Answer: (28, 21, 3528)
Solution : Given: (13, 7, 546); (14, 15, 1260)
Here, (13, 7, 546)→(13 × 7) × 6 = 546 (14, 15, 1260)→(14 × 15) × 6 = 1260
Let's check the options – First option: (28, 21, 3528)→(28 × 21) × 6 = 3528 Second option: (27, 14, 2288)→(27 × 14) × 6 = 2268 ≠ 2288 Third option: (16, 9, 874)→(16 × 8) × 6 = 768 ≠ 874 Fourth option: (13, 15, 1190)→(13 × 15) × 6 = 1170 ≠ 1190
So, the only option first follows the same pattern as followed by the given set of numbers. Hence, the first option is correct.
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