GRE Practice Question and Answer
8Q: Statements : All keys are locks. All locks are bangles. All bangles are cars. Conclusion : a. Some cars are locks. b. Some bangles are keys. c. Some cars are keys. 2178 05b5cc736e4d2b4197774f897
5b5cc736e4d2b4197774f897- 1Only a followsfalse
- 2Only c followsfalse
- 3Only a & b followsfalse
- 4a, b & c followstrue
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Answer : 4. "a, b & c follows"
Explanation :
Answer: D) a, b & c follows Explanation: All locks are bangles + All bangles are cars = A + A = A= All locks are cars => Some cars are locks.Hence conclusion (a) follows.All keys are locks + All locks are bangles = A + A = A= All keys are bangles => some bangles are keys.Hence conclusion (b) follows.All keys are bangles + All bangles are cars = A + A = A= All keys are cars => Some cars are keys.Hence conclusion (C) follows. Thus all a, b and c follows.
Q: Only if Sheela is happy, then she does not go to work. 2176 05b5cc761e4d2b4197774fd20
5b5cc761e4d2b4197774fd20- 1Sheela is not happy and she goes to work.true
- 2Sheela is happy and she does not go to workfalse
- 3Sheela is not happy and she does not go to work.false
- 4Sheela is happy and she goes to work.false
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Answer : 1. "Sheela is not happy and she goes to work."
Explanation :
Answer: A) Sheela is not happy and she goes to work. Explanation: The event of "Sheela is not going to work" happens only when the event "Sheela is happy" happens. Also, if the event "Sheela is happy" does not happen, then the event "Sheela is not going to work" will not happen. In other words, if it is true that Sheela is not happy, then it means that Sheela is going to work.
Q: Two Fathers and Two Sons walk into a ice cream parlour. They each buy something for Rs. 50 but they only spent Rs. 150. How is that possible? 2174 05b5cc6b3e4d2b4197774d413
5b5cc6b3e4d2b4197774d413- Show Answer
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Answer :
Explanation :
One grandfather, One father and One son makes two fathers and two sons.
Q: A box contains 90 screws each of 100 gms and 100 bolts each of 150 gms. If the entire box weighs 35.5 kg, then the weight of the empty box is ? 2171 05b5cc731e4d2b4197774f7e2
5b5cc731e4d2b4197774f7e2- 110.5 kgsfalse
- 212 kgsfalse
- 39.6 kgsfalse
- 411.5 kgstrue
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Answer : 4. "11.5 kgs"
Explanation :
Answer: D) 11.5 kgs Explanation: Screws weight = 90x100 = 9000gmsbolts weight = 100 x 150 = 15000gmsweight = screws + bolts => 24000 gms =>24 kgGiven entire box weight = 35.5kgempty box = entire box weight - weight => 35.5kg - 24kg => 11.5kgso the empty box is 11.5kg.
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 ? 2163 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: If selling price is doubled, the profit triples. Find the profit percent ? 2155 05b5cc723e4d2b4197774f6af
5b5cc723e4d2b4197774f6af- 1100%true
- 2200%false
- 3300%false
- 4400%false
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Answer : 1. "100%"
Explanation :
Answer: A) 100% Explanation: Let the C.P be Rs.100 and S.P be Rs.x, Then The profit is (x-100)Now the S.P is doubled, then the new S.P is 2xNew profit is (2x-100)Now as per the given condition; => 3(x-100) = 2x-100By solving, we get x = 200Then the Profit percent = (200-100)/100 = 100Hence the profit percentage is 100%
Q: Which fraction comes next in the sequence 23, 13, 527, 781, ? 2154 05b5cc758e4d2b4197774fbda
5b5cc758e4d2b4197774fbda- 11/27true
- 211/278false
- 39/48false
- 47/123false
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Answer : 1. "1/27"
Explanation :
Answer: A) 1/27 Explanation: Clearly, the numerators of the fractions in the given sequence follow the series of 2, 3, 5, 7,... and the denominator follows 3, 9, 27, 81, 243, ...Then, the next term in the given sequence is 935 = 9243 = 127 .
Q: Find out the wrong term in the given series of numbers ?6, 15, 35, 77, 165, 221 2151 05b5cc728e4d2b4197774f6dc
5b5cc728e4d2b4197774f6dc- 135false
- 2165true
- 3221false
- 477false
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Answer : 2. "165"
Explanation :
Answer: B) 165 Explanation: The given series follow the rule that : Multiplying consecutive prime numbers2,3,5,7,11,13,17,19....2x3 = 63x5 = 155x7 = 357x11 = 7711x13 = 14313x17 = 221So, the wrong term is 165.