GATE Practice Question and Answer
8Q: In agroup of six women, there are four dancers, four vocal musicians, one actress and three violinists. Girija and Vanaja are among the violinists while Jalaja and Shailaja do not know how to ply on the violin. Shailaja and Tanuja are among the dancers. Jalaja, Vanaja, Shailaja and Tanuja are all vocal musicians and two of them are also violinists. If Pooja is an actress, who among the following is both a dancer and a violinist ? 1929 05b5cc758e4d2b4197774fbfe
5b5cc758e4d2b4197774fbfe- 1Shailajafalse
- 2Vanajafalse
- 3Girijafalse
- 4Tanujatrue
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Answer : 4. "Tanuja"
Explanation :
Answer: D) Tanuja Explanation: The four vocal musicians and one actress in the group are given. Two dancers are Shailaja and Tanuja. Two violinists are Girija and Vanaja. Since Jalaja and Shailaja cannot be violinists, so remaining two violinists are Tanuja and Pooja. Clearly, Tanuja is both a violinist and a dancer.
Q: The last two digits of 2151415? 1927 05b5cc6b9e4d2b4197774d6cb
5b5cc6b9e4d2b4197774d6cb- 181false
- 261false
- 391false
- 451true
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Answer : 4. "51"
Explanation :
Answer: D) 51 Explanation: Unit digit of this expression is always 1 as the base ends with 1. For the tenth place digit we need to multiply the digit in the tenth place of the base and unit digit of the power and take its unit digit. i.e, tenth place digit in 2151 is 5 and tenth place digit in power 415 is 1 And the units digit in the product of 5 x 1 = 5 Therefore, last two digits of 2151415 is 51.
Q: 7, 11, 19, 35, ? Find the next number in the given number series? 1922 05b5cc6ace4d2b4197774d0bb
5b5cc6ace4d2b4197774d0bb- 1131false
- 294false
- 383false
- 467true
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Answer : 4. "67"
Explanation :
Answer: D) 67 Explanation: Here the given series 7, 11, 19, 35, ? follows a pattern that (x 2 - 3) i.e, 7 7 x 2 - 3 = 11 11 x 2 - 3 = 19 19 x 2 - 3 = 35 35 x 2 - 3 = 67 67 x 2 - 3 = 131 Hence the next number in the given number series is 67.
Q: K is 50% faster than L. If L starts at 9 A.M. and K starts at 10 A.M. L travels at a speed of 50 km/hr. If L and K are 300 kms apart, The time when they meet when they travel in opposite direction is ? 1922 05b5cc741e4d2b4197774f9e5
5b5cc741e4d2b4197774f9e5- 112 pmtrue
- 21 pmfalse
- 311 amfalse
- 411:30 amfalse
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Answer : 1. "12 pm"
Explanation :
Answer: A) 12 pm Explanation: let 't' be the time after which they met since L starts. Given K is 50% faster than L 50 t + 1.5*50(t-1) = 300 50 t +75 t = 300 + 75 t = 375 / 125 = 3 hrs past the time that L starts So they meet at (9 + 3)hrs = 12:00 noon.
Q: The first 8 alphabets are written down at random. what is the probability that the letters b,c,d,e always come together ? 1917 05b5cc6d3e4d2b4197774e4d7
5b5cc6d3e4d2b4197774e4d7- 11/7false
- 28!false
- 37!false
- 41/14true
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Answer : 4. "1/14"
Explanation :
Answer: D) 1/14 Explanation: The 8 letters can be written in 8! ways.n(S) = 8!Let E be the event that the letters b,c,d,e always come together when the first 8 alphabets are written down.Now the letters a, (bcde), f, g and h can be arranged in 5! ways.The letters b,c,d and e can be arranged themselves in 4! ways.n(E) = 5! x 4!Now, the required P(E) = n(E)/n(S) = 5! x 4!/8! = 1/14Hence the answer is 1/14.
Q: If Riya's age is four times the age of Siya and if Riya's age is 24 yrs , find the age difference between Riya and Siya ? 1916 05b5cc6dce4d2b4197774e98d
5b5cc6dce4d2b4197774e98d- 12 yrsfalse
- 212 yrsfalse
- 318 yrstrue
- 46 yrsfalse
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Answer : 3. "18 yrs"
Explanation :
Answer: C) 18 yrs Explanation: Let Siya's age = x Then Riya's age = 4x But given Riya's age = 24 => 4x = 24 => x = 6 Hence Siya's age = 6 yrs => The age difference = 24 - 6 = 18 yrs.
Q: Who has the best overall health? 1915 05b5cc698e4d2b4197774c609
5b5cc698e4d2b4197774c609- 1a person who exercises regularly and is not overweightfalse
- 2a person who is not ill and is physically activefalse
- 3a person who lives longer than his or her grandparentsfalse
- 4a person who balances social, physical, and mental healthtrue
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Answer : 4. "a person who balances social, physical, and mental health"
Explanation :
Answer: D) a person who balances social, physical, and mental health Explanation: A person who balances all the three healths such as Physical, mental and Social healths has the best overall health.
Q: In the given numbers, if in each number first digit is replaced by the third digit, second digit is replaced by the first digit and third digit is replaced by the second digit then which number will be the biggest ? 653 749 872 933 541 1912 05b5cc6c5e4d2b4197774dd41
5b5cc6c5e4d2b4197774dd41- 1933false
- 2872false
- 3749true
- 4653false
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Answer : 3. "749"
Explanation :
Answer: C) 749 Explanation: From the given data, Largest number = 974 Therefore, the required number is 749.