IIT JEE Practice Question and Answer
8Q: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current ? 4250 05b5cc6e2e4d2b4197774ec52
5b5cc6e2e4d2b4197774ec52- 11 kmphfalse
- 23.2 kmphfalse
- 31.5 kmphtrue
- 42 kmphfalse
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Answer : 3. "1.5 kmph"
Explanation :
Answer: C) 1.5 kmph Explanation: 72 --- 9 ? ---- 1 => Down Stream = 8 45 ---- 9 ? ---- 1 => Up Stream = 5 Speed od current S = ? S = (8 - 5)/2 = 1.5 kmph.
Q: Ajay who is a King, at his eleventh hour, called his three queens and distributed his gold in the following way: He gave 50% of his wealth to his first wife, 50% of the rest to his second wife and again 50% of the rest to his third wife. If their combined share is worth1,30,900 kilograms of gold, find the quantity of gold King Ajay was having initially? 4250 05b5cc6a6e4d2b4197774cd8c
5b5cc6a6e4d2b4197774cd8c- 1153145 kgsfalse
- 2147890 kgsfalse
- 3152400 kgsfalse
- 4149600 kgstrue
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Answer : 4. "149600 kgs"
Explanation :
Answer: D) 149600 kgs Explanation: Let the total quantity of gold be p kgs. According to the question, 50% of p + 25% of p + 12.5% of p = 130900 87.5% of p = 130900 p = 130900 x 100/87.5 = 149600 kgs. Therefore, the initial gold quantity that king has = p = 149600 kgs.
Q: Bureaucracy literally means a system of government by 4241 05b5cc697e4d2b4197774c5ca
5b5cc697e4d2b4197774c5ca- 1Elected representativefalse
- 2Officialstrue
- 3Group of landlordsfalse
- 4Nominated representativefalse
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Answer : 2. "Officials"
Explanation :
Answer: B) Officials Explanation: A bureaucracy is a way of administratively organizing large numbers of people who need to work together. The term bureaucracy literally means "rule by desks or offices". Organizations in the public and private sector, including universities and governments, rely on bureaucracies to function.
Q: At the university entrance exam, a candidate is admitted according to whether he has passed or failed the test. Of the candidates who are really capable, 80 % pass the test and of the incapable, 30 % pass the test. Given that 40 % of the candidates are really capable, then the proportion of the really capable students who can pass the test to the total students who can pass is about ? 4232 05b5cc74ae4d2b4197774fa77
5b5cc74ae4d2b4197774fa77- 111/24false
- 21/5false
- 316/25true
- 46/5false
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Answer : 3. "16/25"
Explanation :
Answer: C) 16/25 Explanation: If there are total 100 candidates, 40 candidates are really capable and 60 candidates are incapable.Of the candidates who are really capable = 80% 40*(80/100)=32 pass the test andof the incapable= 30%60*(30/100)=18 pass the test.Total candidates who passed the test = 32+18 = 50The proportion of the really capable students who can pass the test to the total students who can pass = 32/50 = 16/25.
Q: A compass always points to 4229 25b5cc60ae4d2b4197774b572
5b5cc60ae4d2b4197774b572- 1Northfalse
- 2Magnetic northtrue
- 3Magnetic Southfalse
- 4Southfalse
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Answer : 2. "Magnetic north"
Explanation :
Answer: B) Magnetic north Explanation: Wherever on earth we hold a compass, the needle points towards the magnetic North Pole. A compass is a great tool for navigation. Compass is widely used in aircrafts, ships, military services,...
Q: Transition : Change :: Immobility : ? 4225 05b5cc6a2e4d2b4197774cb56
5b5cc6a2e4d2b4197774cb56- 1Stillnesstrue
- 2Livelinessfalse
- 3Actionfalse
- 4Busynessfalse
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Answer : 1. "Stillness"
Explanation :
Answer: A) Stillness Explanation: Given Transition is to Change, and we know that Transition and change are Synonyms. Similarly, Immobility means not moving and synonym of immobility are motionlessness, stillness,... Hence, Transition is to change as immobility is to stillness.
Q: Complete the missing number in the given series. 5, 20, 76, (—), 448 4221 05b5cc6f4e4d2b4197774f009
5b5cc6f4e4d2b4197774f009- 1185false
- 2225true
- 3415false
- 4232false
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Answer : 2. "225"
Explanation :
Answer: B) 225 Explanation: The series follows the following pattern 5 X 5 – 5 = 20 20 X 4 – 4 = 76 76 X 3 – 3 = 225 225 X 2 – 2 = 448 Hence, the term 225 denoted by (d) completes the series
Q: The ratio of the incomes of Pavan and Amar is 4 : 3 and the ratio of their expenditures are 3:2. If each person saves Rs. 1889, then find the income of Pavan? 4207 05b5cc6bee4d2b4197774d992
5b5cc6bee4d2b4197774d992- 16548false
- 25667false
- 37556true
- 48457false
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Answer : 3. "7556"
Explanation :
Answer: C) 7556 Explanation: Let ratio of the incomes of Pavan and Amar be 4x and 3x and Ratio of their expenditures be 3y and 2y 4x - 3y = 1889 ......... I and 3x - 2y = 1889 ...........II I and II y = 1889 and x = 1889 Pavan's income = 7556