CAT Practice Question and Answer
8Q: The average age of Vishal and Raghavendra is 24 years. If a new person Veerender is also included, the average age is increased by 1.5 years. What is the age of Veerender? 1437 05b5cc69de4d2b4197774c897
5b5cc69de4d2b4197774c897- 128.5 yrstrue
- 229.5 yrsfalse
- 330.5 yrsfalse
- 427 yrsfalse
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Answer : 1. "28.5 yrs"
Explanation :
Answer: A) 28.5 yrs Explanation: According to the given data, (V + R)/2 = 24 Now, after joining of Veerender, V + R + D)/3 = 25.5 Hence, Veerender Age = 3(25.5) - 2(24) = 76.5 - 48 = 28.5 years.
Q: Which is faster Light or Sound? 1436 15b5cc6b3e4d2b4197774d463
5b5cc6b3e4d2b4197774d463- 1Lighttrue
- 2Soundfalse
- 3Both are samefalse
- 4Can't be determinedfalse
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Answer : 1. "Light"
Explanation :
Answer: A) Light Explanation: Light travels Faster than Sound. Light : 1. Light doesn't require a medium to travel. 2. It travels in the vaccum with the speed of 1,86,000 miles per second. Sound: 1. Sound rquire a medium. 2. It travels in the Air with the speed of 340 meters per second. 3. It travels Faster in Water than in Air. 4. It travels Faster in Steel than in Water.
Q: Every year before the festive season, a brand store increases the price of the product by 42% and then introduce two successive discount of 10% and 11% respectively. What is percentage loss and percentage gain ? 1435 05b5cc745e4d2b4197774f9f9
5b5cc745e4d2b4197774f9f9- 13.25% lossfalse
- 213.742% lossfalse
- 33.25% gainfalse
- 413.742% gaintrue
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Answer : 4. "13.742% gain"
Explanation :
Answer: D) 13.742% gain Explanation: Let CP = 100,42 % increase => SP = 14210 % discount in SP => ((142 x 10)/100) = 14.2So 1st SP = (142 - 14.2) = 127.8, again 12 % discount in 1st SP ((127.8 x 11)/100) = 14.0582nd SP = (127.8 - 14.058) = 113.742, So finally CP = 100, SP = 113.742, => gain = 13.742%.
Q: A rectangular lawn of dimensions 80 m x 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m ? 1435 05b5cc6eee4d2b4197774ef1b
5b5cc6eee4d2b4197774ef1b- 1Rs. 3600false
- 2Rs. 3800false
- 3Rs. 3900true
- 4Rs. 3700false
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Answer : 3. "Rs. 3900"
Explanation :
Answer: C) Rs. 3900 Explanation: Area = (l + b – d) d = (80 + 60 – 10)10 => 1300 sq.mts => 1300 x 3 = Rs.3900
Q: Which country have declared 2020 'Unique Year for Space Sector' ? 1435 05b5cc6c0e4d2b4197774db23
5b5cc6c0e4d2b4197774db23- 1United Arab Emiratestrue
- 2Englandfalse
- 3USAfalse
- 4Indiafalse
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Answer : 1. "United Arab Emirates"
Explanation :
Answer: A) United Arab Emirates Explanation:
Q: Consider the following statements P : Suman is brilliantQ : Suman is richR : Suman is honest The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as 1) P∧~R↔Q 2) ~P∧R↔Q 3) Q↔P∧~R 4) ~Q↔P∧~R 1435 05b5cc71ee4d2b4197774f5d6
5b5cc71ee4d2b4197774f5d6- 11false
- 22false
- 33false
- 44true
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Answer : 4. "4"
Explanation :
Answer: D) 4 Explanation: Suman is brilliant and dishonest is P ∧~ RSuman is brilliant and dishonest iff suman is rich isQ ↔ (P ∧ ~ R) Negative of statement is expressed as~ (Q ↔(P ∧ ~ R)).
Q: Add is to multiply as subtract is to 1434 05b5cc662e4d2b4197774be84
5b5cc662e4d2b4197774be84- 1fractionfalse
- 2dividetrue
- 3decimalfalse
- 4None of the abovefalse
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Answer : 2. "divide"
Explanation :
Answer: B) divide Explanation: Here if you observe, add and subtract are opposite in nature. Similarly, mutiply and divide are also opposite in nature. Hence, Add : Multiply :: Subtract : Divide.
Q: Which solution has the highest pH? 1434 05b5cc6a2e4d2b4197774cb8a
5b5cc6a2e4d2b4197774cb8a- 150.0 mL 0.0500 M calcium hydroxide, Ca(OH)2 (aq)true
- 250.0 mL 0.0500 M sodium hydroxide, NaOH (aq)false
- 350.0 mL 0.0500 M nitric acid, HNO3 (aq)false
- 450.0 mL 0.0500 M nitrous acid, HNO2 (aq)false
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Answer : 1. "50.0 mL 0.0500 M calcium hydroxide, Ca(OH)2 (aq)"
Explanation :
Answer: A) 50.0 mL 0.0500 M calcium hydroxide, Ca(OH)2 (aq) Explanation: 50.0 mL 0.0500 M calcium hydroxide, Ca(OH)2 (aq) has the highest pH value. Sodium hydroxide and Calcium hydroxide are strong bases so they completely ionize in solution. Because they ionize at the same rate, and Calcium hydroxide has the higher pH calculated, then Calcium hydroxide, in fact, has the highest pH. Nitric acid is a strong acid, so it completely ionizes in water. Whilst nitrous acid is a weak acid. Therefore, the nitric acid solution has the LOWEST ph.