GATE Practice Question and Answer
8Q: Sreya bought a plot for Rs. 6,00,000, then sold half of the plot at 10 % profit and rest at 15% profit. What is the total profit % that Sreya gain? 1428 05b5cc6bfe4d2b4197774da65
5b5cc6bfe4d2b4197774da65- 113.8 %false
- 211.4 %false
- 312.5 %true
- 414.5 %false
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Answer : 3. "12.5 %"
Explanation :
Answer: C) 12.5 % Explanation: 10% profit at half plot = 600000/2 x 10/100 = Rs. 30,000 15% profit at remaining half plot = 600000/2 x 15/100 = Rs. 45,000 Now, total profit = 30000 + 45000 = 75000 Profit % = 75000/600000 x 100 = 12.5 %
Q: A merchant commences with a certain capital and gains annually at the rate of 30 per cent. At the end of 2 years he has worth Rs 10,000. What was the original capital? 1427 05b5cc6abe4d2b4197774cfb2
5b5cc6abe4d2b4197774cfb2- 1Rs. 4987false
- 2Rs. 5148false
- 3Rs. 5917true
- 4Rs. 6254false
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Answer : 3. "Rs. 5917"
Explanation :
Answer: C) Rs. 5917 Explanation: Let the Original capital amount be Rs. P Given after 2 years the amount is Rs. 10000 Rate of interest = 30% According to the question, P x 130100 x 130100 = 10000=> P = 1000000169 = 5917 Therefore, the capital amount P = Rs. 5917
Q: A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present ? 1426 05b5cc6dce4d2b4197774e983
5b5cc6dce4d2b4197774e983- 136 yrsfalse
- 238 yrsfalse
- 340 yrstrue
- 442 yrsfalse
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Answer : 3. "40 yrs"
Explanation :
Answer: C) 40 yrs Explanation: Let the mother's present age be x years. Then, the person's present age = 2/5 x years. (2x/5 + 8) = 1/2 (x + 8) 2(2x + 40) = 5(x + 8) => x = 40.
Q: About 4 out of 5 students are left handed. If there are totally 40 students in an class. How many would be left handed ? 1426 05b5cc705e4d2b4197774f220
5b5cc705e4d2b4197774f220- 140false
- 245false
- 332true
- 430false
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Answer : 3. "32"
Explanation :
Answer: C) 32 Explanation: Probability of left handed = 4/5total student = 40total left handed = 40 x(4/5)= 32
Q: What does 'M' stand for in Roman numerals? 1425 05b5cc662e4d2b4197774be8f
5b5cc662e4d2b4197774be8f- 11false
- 250false
- 3500false
- 41000true
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Answer : 4. "1000"
Explanation :
Answer: D) 1000 Explanation: Letters of the alphabet used in ancient Rome to represent numbers: I = 1; V = 5; X = 10; L = 50; C = 100; D = 500; M = 1000. The numbers one through ten are written I, II, III, IV, V, VI, VII, VIII, IX, and X.
Q: The age of Manisha and Sudeshna are in the ratio of 5 : 6 respectively. After 8 years the ratio of their ages will be 7 : 8. What is the difference of their ages ? 1425 05b5cc6c3e4d2b4197774dc1d
5b5cc6c3e4d2b4197774dc1d- 16false
- 24true
- 38false
- 410false
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Answer : 2. "4"
Explanation :
Answer: B) 4 Explanation: Let the age of Manisha and Sudeshna is 5x and 6x years respectively. According to the given data, 5x+8/6x+8 = 7/8 42x + 56 = 40x + 64 x = 4 Required Difference of their ages = (6 × 4) – (5 × 4) = 4 years.
Q: A,B,C can complete a work in 15,20 and 30 respectively.They all work together for two days then A leave the work,B and C work some days and B leaves 2 days before completion of that work.how many days required to complete the whole work? 1425 05b5cc690e4d2b4197774c45f
5b5cc690e4d2b4197774c45f- Show AnswerHide Answer
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Answer :
Explanation :
Given A,B,C can complete a work in 15,20 and 30 respectively. The total work is given by the LCM of 15, 20, 30 i.e, 60. A's 1 day work = 60/15 = 4 units B's 1 day work = 60/20 = 3 units C's 1 day work = 60/30 = 2 units (A + B + C) worked for 2 days = (4 + 3 + 2) 2 = 18 units Let B + C worked for x days = (3 + 2) x = 5x units C worked for 2 days = 2 x 2 = 4 units Then, 18 + 5x + 4 = 60 22 + 5x = 60 5x = 38 x = 7.6 Therefore, total number of days taken to complete the work = 2 + 7.6 + 2 = 11.6 = 11 3/5 days.
Q: Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 m x 5 m when 10% of its volume is occupied by concrete ? 1424 05b5cc6eee4d2b4197774ef16
5b5cc6eee4d2b4197774ef16- 16000true
- 25400false
- 33800false
- 44700false
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Answer : 1. "6000"
Explanation :
Answer: A) 6000 Explanation: Let 'B' be the nuber of bricks. => 10 x 4/100 x 5 x 90/100 = 25/100 x 15/100 x 8/100 x B => 10 x 20 x 90 = 15 x 2 x B => B = 6000