CAT Practice Question and Answer
8Q: A box contains 90 screws each of 100 gms and 100 bolts each of 150 gms. If the entire box weighs 35.5 kg, then the weight of the empty box is ? 2326 05b5cc731e4d2b4197774f7e2
5b5cc731e4d2b4197774f7e2- 110.5 kgsfalse
- 212 kgsfalse
- 39.6 kgsfalse
- 411.5 kgstrue
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Answer : 4. "11.5 kgs"
Explanation :
Answer: D) 11.5 kgs Explanation: Screws weight = 90x100 = 9000gmsbolts weight = 100 x 150 = 15000gmsweight = screws + bolts => 24000 gms =>24 kgGiven entire box weight = 35.5kgempty box = entire box weight - weight => 35.5kg - 24kg => 11.5kgso the empty box is 11.5kg.
Q: A shop keeper sells an article at a loss of 8%, but when he increases the selling price of the article by Rs. 164 he earns a profit of 2.25% on the cost price. If he sells the same article at Rs. 1760, what is his profit percentage? 2326 05b5cc62ae4d2b4197774b89f
5b5cc62ae4d2b4197774b89f- 12.5%false
- 25%false
- 310%true
- 47.5%false
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Answer : 3. "10%"
Explanation :
Answer: C) 10% Explanation: According to the given data, Let Cost price of the article be 'cp' Then, 102.25 cp - 92 cp = 164 x 100 10.25 cp = 16400 cp = 1600 Now, if he sells at Rs. 1760 Profit = 1760 - 1600 = 160 Profit% = 160/1600 x 100 = 10%.
Q: The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday ? 2325 05b5cc6e7e4d2b4197774ed83
5b5cc6e7e4d2b4197774ed83- 134true
- 236false
- 338false
- 440false
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Answer : 1. "34"
Explanation :
Answer: A) 34 Explanation: M + Tu + W + Th = 4 x 48 = 192Tu + W + Th + F = 4 x 46 = 184M = 42Tu + W + Th = 192 - 42 = 150F = 184 – 150 = 34
Q: Who has the best overall health? 2324 05b5cc698e4d2b4197774c609
5b5cc698e4d2b4197774c609- 1a person who exercises regularly and is not overweightfalse
- 2a person who is not ill and is physically activefalse
- 3a person who lives longer than his or her grandparentsfalse
- 4a person who balances social, physical, and mental healthtrue
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Answer : 4. "a person who balances social, physical, and mental health"
Explanation :
Answer: D) a person who balances social, physical, and mental health Explanation: A person who balances all the three healths such as Physical, mental and Social healths has the best overall health.
Q: 5% of a number is 25% more than another number. The difference between the numbers is 96. Then find the value of the numbers? 2324 05b5cc6bbe4d2b4197774d80c
5b5cc6bbe4d2b4197774d80c- 1102 & 6false
- 299 & 3false
- 3104 & 8false
- 4100 & 4true
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Answer : 4. "100 & 4"
Explanation :
Answer: D) 100 & 4 Explanation: Let the first number be x and the second number be y. Given 5% of x = (25% of y) + y => 5x/100 = 5y/4 => x = 25y ......(1) and also given that, x - y = 96 => x = 96 + y .....(2) From (1)&(2) 25y = 96 + y => 24y = 96 => y = 4 From (1) x = 96 + 4 = 100 Hence, the numbers are 100 & 4.
Q: Which of the following is the lightest metal? 2319 05b5cc6a1e4d2b4197774cae5
5b5cc6a1e4d2b4197774cae5- 1Lithiumtrue
- 2Silverfalse
- 3Mercuryfalse
- 4Leadfalse
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Answer : 1. "Lithium"
Explanation :
Answer: A) Lithium Explanation: Lithium is the lightest metal and the lightest solid element. It is a soft, silvery-white alkali metal. Under standard conditions. Like all alkali metals, lithium is highly reactive and flammable and is stored in mineral oil.
Q: Reptile is to Lizard as Flower is to 2316 05b5cc6aee4d2b4197774d160
5b5cc6aee4d2b4197774d160- 1Orchidstrue
- 2Stemfalse
- 3Leaffalse
- 4Petalfalse
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Answer : 1. "Orchids"
Explanation :
Answer: A) Orchids Explanation: Here Lizard is a type of Reptiles whereas Orchid is a type of flowers. Other than Orchids all are parts of Plants. Hence, Reptile is to Lizard as Flower is to Orchids.
Q: The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ? 2315 15b5cc72ce4d2b4197774f79c
5b5cc72ce4d2b4197774f79c- 142.2 mtsfalse
- 233.45 mtsfalse
- 366.6 mtstrue
- 458.78 mtsfalse
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Answer : 3. "66.6 mts"
Explanation :
Answer: C) 66.6 mts Explanation: From above diagramAC represents the hill and DE represents the tower Given that AC = 100 m angleXAD = angleADB = 30° (∵ AX || BD ) angleXAE = angleAEC = 60° (∵ AX || CE) Let DE = h Then, BC = DE = h, AB = (100-h) (∵ AC=100 and BC = h), BD = CE tan 60°=AC/CE => √3 = 100/CE =>CE = 100/√3 ----- (1) tan 30° = AB/BD => 1/√3 = 100−h/BD => BD = 100−h(√3)∵ BD = CE and Substitute the value of CE from equation 1 100/√3 = 100−h(√3) => h = 66.66 mts The height of the tower = 66.66 mts.