CAT Practice Question and Answer
8Q: 5 men and 3 boys can together cultivate a 23 acre field in 4 days and 3 men and 2 boys together can cultivate a 7 acre field in 2 days. How many boys will be needed together with 7 men, if they cultivate 45 acre of field in 6 days. 2734 05b5cc69de4d2b4197774c8ad
5b5cc69de4d2b4197774c8ad- 16false
- 24false
- 32true
- 43false
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Answer : 3. "2"
Explanation :
Answer: C) 2 Explanation: Let work done by 1 man in i day be m and Let work done by 1 boy in 1 day be b From the given data, 4(5m + 3b) = 23 20m + 12b = 23....(1) 2(3m + 2b) = 7 6m + 4b = 7 ....(2) By solving (1) & (2), we get m = 1, b = 1/4 Let the number of required boys = n 6(7 1 + n x 1/4) = 45 => n = 2.
Q: The granting of fundamental rights to citizens aims at ensuring ? 2733 05b5cc6cae4d2b4197774e010
5b5cc6cae4d2b4197774e010- 1Socialistic governmentfalse
- 2Individual libertytrue
- 3An Independent judiciaryfalse
- 4None of the abovefalse
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Answer : 2. "Individual liberty"
Explanation :
Answer: B) Individual liberty Explanation:
Q: An alloy contains gold and silver in the ratio 5 : 8 and another alloy contains gold and silver in the ratio 5 : 3. If equal amount of both the alloys are melted together, then the ratio of gold and silver in the resulting alloy is ? 2733 05b5cc67be4d2b4197774c1eb
5b5cc67be4d2b4197774c1eb- 1113/108false
- 2105/103true
- 3108/115false
- 4103/113false
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Answer : 2. "105/103"
Explanation :
Answer: B) 105/103 Explanation: As given equal amounts of alloys are melted, let it be 1 kg. Required ratio of gold and silver = 513 + 58813 + 38 = 105103. Hence, ratio of gold and silver in the resulting alloy = 105/103.
Q: If M $ N means M is the brother of N; M # N means M is the mother of N; M * N means M is the daughter of N. Then in I # J $ K * L, who is the father ? 2730 05b5cc6d5e4d2b4197774e61a
5b5cc6d5e4d2b4197774e61a- 1Ltrue
- 2Kfalse
- 3Jfalse
- 4Ifalse
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Answer : 1. "L"
Explanation :
Answer: A) L Explanation: I is the mother of J, J is the brother of K and K is the daughter of L. Hence , L is the Father.
Q: After independence, the first state organized on the basis of language age is ? 2726 25b5cc6dfe4d2b4197774eb25
5b5cc6dfe4d2b4197774eb25- 1Karnatakafalse
- 2Punjabfalse
- 3Gujaratfalse
- 4Andhra Pradeshtrue
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Answer : 4. "Andhra Pradesh"
Explanation :
Answer: D) Andhra Pradesh Explanation:
Q: Who introduced gold coins for the first time in India? 2725 05b5cc69de4d2b4197774c8cb
5b5cc69de4d2b4197774c8cb- 1Kushanastrue
- 2Guptasfalse
- 3Mauryasfalse
- 4Sakasfalse
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Answer : 1. "Kushanas"
Explanation :
Answer: A) Kushanas Explanation:
Q: The amount of water (in ml) that should be added to reduce 9 ml lotion, containing 50% alcohol, to a lotion containing 30% alcohol is ? 2724 05b5cc74fe4d2b4197774fae5
5b5cc74fe4d2b4197774fae5- 16 mltrue
- 211 mlfalse
- 315 mlfalse
- 49 mlfalse
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Answer : 1. "6 ml"
Explanation :
Answer: A) 6 ml Explanation: Let us assume that the lotion has 50% alcohol and 50% water.ratio = 1:1As the total solution is 9mlalcohol = water = 4.5mlNow if we want the quantity of alcohol = 30%The quantity of water = 70%The new ratio = 3:7Let x ml of water be addedWe get,4.54.5+x = 37=> x=6Hence 6ml of water is added.
Q: Althaf borrows Rs. 1500 from two moneylenders. He pays interest at the rate of 12% per annum for one loan and at the rate of 14% per annum for the other. The total interest he pays for the entire year is Rs. 186. How much does he borrow at the rate of 12% ? 2723 05b5cc6fee4d2b4197774f166
5b5cc6fee4d2b4197774f166- 1Rs. 300false
- 2Rs. 400false
- 3Rs. 1200true
- 4Rs. 1100false
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Answer : 3. "Rs. 1200"
Explanation :
Answer: C) Rs. 1200 Explanation: Let Althaf lent Rs. A at 14% per year.Hence, Money lent at 12% = (1500-A);Given, total interest = Rs. 186.{(A x 14x 1)/100} + {[(1500-A) x 12 x 1/100]} = 186;14A/100 + (18000 -12A)/100 = 186;14A + 18000 - 12A = 186x100;2A = 18600-18000;A = 600/2 = Rs. 300.Hence, money lent at 12% = 1500-300 = Rs. 1200.