AETPAPER (Aptitude Test) – Test 3
No of questions – 20
Marks : 80 (20×4)
Time : 25 mins
AETPAPER (Aptitude Test) – Test 3
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Question 1 of 20
1. Question
In the given figure, PA and PB are tangents to the circle at A and B respectively and the chord BC is parallel to tangent PA. If AC = 6 cm, and length of the tangent AP is 9 cm, then what is the length of the chord BC?
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Question 2 of 20
2. Question
Three cards are drawn at random from an ordinary pack of cards. Find the probability that they will consist of a king, a queen and an ace.
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Question 3 of 20
3. Question
A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice. Each cat killed more mice than there were cats. How many cats do you think there were ?
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Question 4 of 20
4. Question
If Log2 x – 5 Log x + 6 = 0, then what would the value / values of x be?
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Question 5 of 20
5. Question
The square of a two digit number is divided by half the number. After 36 is added to the quotient, this sum is then divided by 2. The digits of the resulting number are the same as those in the original number, but they are in reverse order. The ten’s place of the original number is equal to twice the difference between its digits. What is the number?
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Question 6 of 20
6. Question
A monkey starts climbing up a tree 20ft. tall. Each hour, it hops 3ft. and slips back 2ft. How much time would it take the monkey to reach the top?
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Question 7 of 20
7. Question
A certain type of mixture is prepared by mixing brand A at Rs.9 a kg. with brand B at Rs.4 a kg. If the mixture is worth Rs.7 a kg., how many kgs. of brand A are needed to make 40 kgs. of the mixture?
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Question 8 of 20
8. Question
A wizard named Nepo says “I am only three times my son’s age. My father is 40 years more than twice my age. Together the three of us are a mere 1240 years old.” How old is Nepo?
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Question 9 of 20
9. Question
One dog tells the other that there are two dogs in front of me. The other one also shouts that he too had two behind him. How many are they?
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Question 10 of 20
10. Question
A man ate 100 bananas in five days, each day eating 6 more than the previous day. How many bananas did he eat on the first day?
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Question 11 of 20
11. Question
The minute hand of a clock overtakes the hour hand at intervals of 64 minutes of correct time. How much a day does the clock gain or lose?
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Question 12 of 20
12. Question
Solve for x and y: 1/x – 1/y = 1/3, 1/x2 + 1/y2 = 5/9.
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Question 13 of 20
13. Question
Daal is now being sold at Rs. 20 a kg. During last month its rate was Rs. 16 per kg. By how much percent should a family reduce its consumption so as to keep the expenditure fixed?
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Question 14 of 20
14. Question
Can you find out what day of the week was January 12, 1979?
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Question 15 of 20
15. Question
A garrison of 3300 men has provisions for 32 days, when given at a rate of 850 grams per head. At the end of 7 days a reinforcement arrives and it was found that now the provisions will last 8 days less, when given at the rate of 825 grams per head. How, many more men can it feed?
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Question 16 of 20
16. Question
From 5 different green balls, four different blue balls and three different red balls, how many combinations of balls can be chosen taking at least one green and one blue ball?
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Question 17 of 20
17. Question
Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 15 minutes. If A, B & C are kept open successively for 1 minute each, how soon will the tank be filled?
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Question 18 of 20
18. Question
A person walking 5/6 of his usual rate is 40 minutes late. What is his usual time?
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Question 19 of 20
19. Question
A train covers a distance in 50 min ,if it runs at a speed of 48 kmph on an average.The speed at which the train must run to reduce the time of journey to 40 min will be.
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Question 20 of 20
20. Question
The average ages of three persons is 27 years. Their ages are in the proportion of 1:3:5.What is the age in years of the youngest one among them.
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