GRE Practice Question and Answer
8Q: Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ? 2871 05b5cc74ae4d2b4197774fad1
5b5cc74ae4d2b4197774fad1- 11 : 2 : 3false
- 22 : 3 : 4true
- 33: 4 : 5false
- 44 : 5 : 6false
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Answer : 2. "2 : 3 : 4"
Explanation :
Answer: B) 2 : 3 : 4 Explanation: Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. Seats for Mathematics, Physics and Biology in a school are 5x, 7x and 8x. There is a proposal to increase these seats by 40%, 50% and 75% respectively. Then Seats for Mathematics, Physics and Biology in a school will be 1.4 X 5x, 1.5 X 7x and 1.75 X 8x and ratio will be 7 : 10.5 : 14 => 2:3:4.
Q: A certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest is 3% higher, then the invest earned will be 25% more than the interest earned earlier. What is the earlier rate of interest ? 2858 05b5cc6eee4d2b4197774eeeb
5b5cc6eee4d2b4197774eeeb- 14% p.a.false
- 26% p.a.false
- 38% p.a.false
- 412% p.a.true
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Answer : 4. "12% p.a."
Explanation :
Answer: D) 12% p.a. Explanation: If the interest earned is 25% more than the earlier interest then the rate of interest also should be 25% higher than the earlier rate. Let the earlier rate of interest be x%. Now it will be (x + 3)% % increase = (x + 3) - x/x * 100 = 25=> x = 12%
Q: What can you catch but not throw? 2858 05b5cc6a3e4d2b4197774cc04
5b5cc6a3e4d2b4197774cc04- Show AnswerHide Answer
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Answer :
Explanation :
A cold or flu illness.
Q: A train for Fathehpur leaves for every 2 hrs 30 min from Agra station. An announcement was made that train left 37 mins ago and next train comes at 17:00hrs. At what time was the announcement made ? 2855 05b5cc715e4d2b4197774f445
5b5cc715e4d2b4197774f445- 115:07 hrstrue
- 215:20 hrsfalse
- 315:05 hrsfalse
- 415:00 hrsfalse
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Answer : 1. "15:07 hrs"
Explanation :
Answer: A) 15:07 hrs Explanation: Next train comes at 17:00 hrs.So, last train will be = 17:00hrs - 2:30hrs= 14:30hrsAnnouncement made after 37 min of the last train.S0, 14:30hrs + 00:37 min= 15:07 hrs.
Q: The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ? 2849 15b5cc72ce4d2b4197774f79c
5b5cc72ce4d2b4197774f79c- 142.2 mtsfalse
- 233.45 mtsfalse
- 366.6 mtstrue
- 458.78 mtsfalse
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Answer : 3. "66.6 mts"
Explanation :
Answer: C) 66.6 mts Explanation: From above diagramAC represents the hill and DE represents the tower Given that AC = 100 m angleXAD = angleADB = 30° (∵ AX || BD ) angleXAE = angleAEC = 60° (∵ AX || CE) Let DE = h Then, BC = DE = h, AB = (100-h) (∵ AC=100 and BC = h), BD = CE tan 60°=AC/CE => √3 = 100/CE =>CE = 100/√3 ----- (1) tan 30° = AB/BD => 1/√3 = 100−h/BD => BD = 100−h(√3)∵ BD = CE and Substitute the value of CE from equation 1 100/√3 = 100−h(√3) => h = 66.66 mts The height of the tower = 66.66 mts.
Q: Read the following information carefully and answer the questions given below it. There are five men A,B,C,D and E and six women P, Q, R, S, T and U. A, B and R are advocates, C, D, P, Q and S are doctors and the rest are teachers. Some teams are to be selected from amongst these eleven persons subject to the following conditions. A, P and U have to be together. B cannot go with D or R. E and Q have to be together. C and T have to be together. D and P cannot go together. C cannot go with Q. If the team is to consist of two male advocates, two lady doctors and one teacher, the members of team are 2840 05b5cc6f4e4d2b4197774effa
5b5cc6f4e4d2b4197774effa- 1A, P, R, S, Ufalse
- 2A, B, P, Q, Ufalse
- 3B, E, Q, R, Sfalse
- 4A, B, P, U, Strue
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Answer : 4. "A, B, P, U, S"
Explanation :
Answer: D) A, B, P, U, S Explanation: From the given information; Members Sex Profession A M Advocate Q F Doctor B M Advocate R F Advocate C M Doctor S F Doctor D M Doctor T F Teacher E M Teacher U F Teacher P F Doctor Answer (D) From option (D) A and B are two male advocates, P and S are two female doctors and u is female teacher.
Q: A secret can be told to only 3 persons in 3 minutes. Each person in turn tells 3 other persons in the next 3 minutes and the processes continues accordingly. In 30 minutes how many persons can be told this secret in this way ? 2836 05b5cc741e4d2b4197774f99a
5b5cc741e4d2b4197774f99a- 188572true
- 277854false
- 399584false
- 455654false
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Answer : 1. "88572"
Explanation :
Answer: A) 88572 Explanation: Given a secret is told to 3 persons in 3 minutes.And if the process continues with each person saying 3 other persons,In 30 minutes => the rocess for 10 times because each person time is 3 minutes.Required number of persons = 3 + 32 + 33 + .... + 39 + 310 Now it forms a geometric progression, Sum to n terms is S = arn - 1r - 1 Here a = 3, r = 3 => 59048 x 3 /2 = 88572.
Q: Find the next number in the given series 0.25, 8, 128, 1024, ? 2835 05b5cc6bce4d2b4197774d8b1
5b5cc6bce4d2b4197774d8b1- 14096true
- 22526false
- 38486false
- 42620false
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Answer : 1. "4096"
Explanation :
Answer: A) 4096 Explanation: Here given series follows a pattern that 0.25, 8, 128, 1024, ? 0.25 x 32 = 8 8 x 16 = 128 128 x 8 = 1024 1024 x 4 = 4096