CAT Practice Question and Answer
8Q: In a mixture of three varities of oils , the ratio of their weight is 4 : 5 : 8. If 5 kg of oils of the first variety, 10 kg of the second variety and some quantity of oils of the third variety are added to the mixture, the ratio of the weights of three varieties of oils becomes as 5 : 7 : 9 in the final mixture, find the quantity of third variety of oil was ? 2185 05b5cc6cce4d2b4197774e177
5b5cc6cce4d2b4197774e177- 115 kgfalse
- 225 kgfalse
- 335 kgfalse
- 445 kgtrue
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Answer : 4. "45 kg"
Explanation :
Answer: D) 45 kg Explanation: Let the ratio of initial quantity of oils be 'x' => 4x, 5x & 8x.Let k be the quantity of third variety of oil in the final mixture.Let the ratio of initial quantity of oils be 'y'From given details,4x + 5 = 5y ..... (1)5x + 10 = 7y .....(2)8x + k = 9y ......(3) By solving (1) & (2), we getx = 5 & y = 5 From (3) => k = 5 Therefore, quantity of third variety of oil was 9y = 9(5) = 45kg.
Q: Choose the most essential part for the word given below from the following options ? Shoe 2185 05b5cc76ae4d2b4197774fe89
5b5cc76ae4d2b4197774fe89- 1Lacefalse
- 2Soletrue
- 3Leatherfalse
- 4Walkingfalse
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Answer : 2. "Sole"
Explanation :
Answer: B) Sole Explanation: All shoes have a sole of some sort.Not all shoes are made of leather (choice b); nor do they all have laces (choice c).Walking (choice d) is not essential to a shoe.
Q: Which has the lowest albedo? 2184 05b5cc61ee4d2b4197774b779
5b5cc61ee4d2b4197774b779- 1dark surfacestrue
- 2light surfacesfalse
- 3Both A & Bfalse
- 4None of the abovefalse
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Answer : 1. "dark surfaces"
Explanation :
Answer: A) dark surfaces Explanation: Albedo refers to a material's ability to reflect sunlight. Since 30% of the sun's energy is reflected by the entire earth, the earth has an average albedo of 0.30. Generally, dark surfaces have a low albedo and light surfaces have a high albedo.
Q: If a+b=5 and 3a+2b=20,then (3a+b)will be : 2184 05b5cc783e4d2b419777501fb
5b5cc783e4d2b419777501fb- 120false
- 215false
- 325true
- 430false
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Answer : 3. "25"
Explanation :
Answer: C) 25 Explanation: a+b=5 ...(1) and 3a+2b=20 ...(2) Multiplying (1) by 2 and subtracting from (2), we get : a=10. Putting a=10 in (1), we get : b=-5 Therefore, (3a+b) = 3 x 10+(-5)=30-5=25.
Q: Which of these was a goal of unions? 2183 05b5cc683e4d2b4197774c28d
5b5cc683e4d2b4197774c28d- 1union ownership of businessfalse
- 2government ownership of businessfalse
- 3a shorter workweektrue
- 4government reformfalse
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Answer : 3. "a shorter workweek"
Explanation :
Answer: C) a shorter workweek Explanation: Labor unions are associations of workers who pursue common objectives. Workers use this platform to bargain collectively on behalf of the majority of workers.
Q: Okhla Bird Sanctuary is located in 2183 05b5cc6b2e4d2b4197774d39f
5b5cc6b2e4d2b4197774d39f- 1Rajasthanfalse
- 2West Bengalfalse
- 3Maharashtrafalse
- 4Uttar Pradeshtrue
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Answer : 4. "Uttar Pradesh"
Explanation :
Answer: D) Uttar Pradesh Explanation: Okhla Bird Sanctuary is located in Uttar Pradesh. Okhla Bird Sanctuary is a bird sanctuary at the Okhla barrage over Yamuna River. It is situated in Noida, Gautam Buddh Nagar district, on Delhi-Uttar Pradesh state border and known as a haven for over 300 bird species.
Q: There are 10 Letters and 10 correspondingly 10 different Address. If the letter are put into envelope randomly, then find the Probability that Exactly 9 letters will at the Correct Address ? 2183 05b5cc705e4d2b4197774f1ee
5b5cc705e4d2b4197774f1ee- 11/10false
- 21/9false
- 31false
- 40true
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Answer : 4. "0"
Explanation :
Answer: D) 0 Explanation: As we know we have 10 letter and 10 different address and one more information given that exactly 9 letter will at the correct address....so the remaining one letter automatically reach to their correct address P(E) = favorable outcomes /total outcomesHere favorable outcomes are '0'.So probability is '0'.
Q: Madhu started a business and he invested in 76000, After some month, Amar came to join with him and invest 57000.The end of the year the total profit was divided among them into ratio form 2 : 1.Find after how many months Amar join. 2182 05b5cc767e4d2b4197774fe27
5b5cc767e4d2b4197774fe27- 17 monthsfalse
- 28 monthsfalse
- 33 monthsfalse
- 44 monthstrue
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Answer : 4. "4 months"
Explanation :
Answer: D) 4 months Explanation: we can assume that Amar join into business after x months. So Amar money was invest into (12 – x ) months. 76000×1257000×(12-x)=21 --> 912000 = 114000 ( 12 – x ) = 114 ( 12 – x ) = 912 --> x = 4 After 4 months amar join the business.

