CAT Practice Question and Answer
8Q: If three eighth of a number is 141. What will be the approximately value of 32.08% of this number ? 1768 05b5cc6ebe4d2b4197774ee73
5b5cc6ebe4d2b4197774ee73- 1101false
- 2112false
- 3104false
- 4120true
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Answer : 4. "120"
Explanation :
Answer: D) 120 Explanation: K x 3/8 = 141 => K = 376 376 x 32.08/100 = 120
Q: An amount doubles itself in 15 years. what is the rate of interest ? 1767 05b5cc711e4d2b4197774f3cd
5b5cc711e4d2b4197774f3cd- 17.85 %false
- 29.41%false
- 36.66 %true
- 44.21 %false
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Answer : 3. "6.66 %"
Explanation :
Answer: C) 6.66 % Explanation: Let the principle be Rs. PAs the amount double itself the interest is Rs. P tooSo P = P x r x 15/100=> r = 100/15 = 20/3 % = 6.66 %.
Q: Nine different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, how many such words can be formed which have at least one letter repeated ? 1767 05b5cc6c6e4d2b4197774de0e
5b5cc6c6e4d2b4197774de0e- 143929true
- 259049false
- 315120false
- 40false
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Answer : 1. "43929"
Explanation :
Answer: A) 43929 Explanation: Number of words with 5 letters from given 9 alphabets formed = 95 Number of words with 5 letters from given 9 alphabets formed such that no letter is repeated is = 9P5 Number of words can be formed which have at least one letter repeated = 95 - 9P5 = 59049 - 15120 = 43929
Q: Light from the sun reaches us in nearly 1767 05b5cc6a2e4d2b4197774cbc2
5b5cc6a2e4d2b4197774cbc2- 15 minfalse
- 24.30 hrsfalse
- 38 mintrue
- 45.30 hrsfalse
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Answer : 3. "8 min"
Explanation :
Answer: C) 8 min Explanation: The light from the sun takes about 8 minutes to reach the Earth after it has been emitted from the sun's surface. The time it takes for light to reach planets in our Solar System varies from about 3 minutes for Mercury to about 5.3 hours for Pluto.
Q: The payment per hour for a daily-wages employee is increased by 33.33 and the working time is reduced by 33.33%. What is the percentage change in the employee's income ? 1766 05b5cc73de4d2b4197774f934
5b5cc73de4d2b4197774f934- 111.11% decreasetrue
- 221.11% increasefalse
- 311.11% increasefalse
- 421.11% decreasefalse
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Answer : 1. "11.11% decrease"
Explanation :
Answer: A) 11.11% decrease Explanation: If earlier he is getting Rs. 1 per hr and working for 1 hr, income = Rs. 1Now he is getting Rs 1.3333 per hr and working for 0.66667 hrs Then income for 0.66667 hrs = Rs. 0.8889. If payment per hr is increased by 33.33 % and working hours dereased by 33.33%, then 11.11 % decrease in income.
Q: What Room can Nobody Enter? 1766 05b5cc6abe4d2b4197774cfea
5b5cc6abe4d2b4197774cfea- 1War roomfalse
- 2Spare roomfalse
- 3Escape roomfalse
- 4Mushroomtrue
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Answer : 4. "Mushroom"
Explanation :
Answer: D) Mushroom Explanation: The Room can Nobody Enter is a Mushroom.
Q: Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ? 1766 05b5cc71ee4d2b4197774f5ae
5b5cc71ee4d2b4197774f5ae- 111/3false
- 22/13false
- 33/11true
- 413/4false
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Answer : 3. "3/11"
Explanation :
Answer: C) 3/11 Explanation: Let Veena paid x,so Akshitha paid 2x/3 , and Lasya paid 2x,So total bill paid is given byx+(2x/3) +2x = 1, we geti.e. x = 3/11
Q: A shopkeeper sells two articles at Rs.1000 each, making a profit of 30% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes ? 1766 05b5cc6e2e4d2b4197774ec20
5b5cc6e2e4d2b4197774ec20- 10.85 %false
- 20.95 %true
- 31.0 %false
- 41.3 %false
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Answer : 2. "0.95 %"
Explanation :
Answer: B) 0.95 % Explanation: SP of first article = 1000Profit = 30%CP = (SP)x[100/(100+P)] = 10000/13 SP of second article = 1000Loss = 20%CP = (SP)x[100/(100-L)] = 5000/4 = 1250 Total SP = 2000 Total CP = 10000/13 + 1250 = 2019.23 CP is more than SP, he makes a loss. Loss = CP-SP = 2019.23 - 2000 = 19.23Loss Percent = [(19.23)/(2019.23)]x100 = 0.95 %.