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APTITUDETEST3
Ques 1 :
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?
(A) BC = 2 cm.
(B) BC = 8 cm.
(C) BC = 6 cm.
(D) BC = 4 cm.
Ques 2 :
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.
(A) 64/1210.
(B) 32/2210.
(C) 16/2210.
(D) 64/2210.
Ques 3 :
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 ?
(A) 901.
(B) 801.
(C) 891.
(D) 991.
Ques 4 :
If Log2 x - 5 Log x + 6 = 0, then what would the value / values of x be?
(A) x = e5 or e3.
(B) x = e2 or e5.
(C) x = e2 or e3.
(D) x = e3 or e5.
Ques 5 :
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?
(A) 46
(B) 48
(C) 36
(D) 38
Ques 6 :
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?
(A) 20 hours.
(B) 19 hours.
(C) 18 hours.
(D) 17 hours.
Ques 7 :
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 40kgs. of the mixture?
(A) Brand A needed is 20kgs.
(B) Brand A needed is 24kgs.
(C) Brand A needed is 28kgs.
(D) Brand A needed is 32kgs.
Ques 8 :
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?
(A) 360 years old.
(B) 240 years old.
(C) 320 years old.
(D) 160 years old.
Ques 9 :
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?
(A) 6
(B) 5
(C) 4
(D) 3
Ques 10 :
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?
(A) 6
(B) 8
(C) 12
(D) 14
Ques 11 :
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?
(A) 30 8/11 minutes.
(B) 32 6/11 minutes.
(C) 32 8/11 minutes.
(D) 30 6/11 minutes.
Ques 12 :
Solve for x and y: 1/x - 1/y = 1/3, 1/x2 + 1/y2 = 5/9.
(A) x = 5/2 or -5 and y = 3 or -3/2.
(B) x = 3/2 or -3 and y = 5 or -5/2.
(C) x = 3/2 or -3 and y = 2 or -3/2.
(D) x = 3/2 or -3 and y = 3 or -3/2.
Ques 13 :
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?
(A) 25 %.
(B) 20 %.
(C) 30 %.
(D) 40 %.
Ques 14 :
Can you find out what day of the week was January 12, 1979?
(A) Friday.
(B) Saturday.
(C) Sunday.
(D) Monday.
Ques 15 :
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?
(A) 1500 men.
(B) 1700 men.
(C) 1900 men.
(D) 2100 men.
Ques 16 :
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?
(A) 3720.
(B) 3920.
(C) 4320.
(D) 4520.
Ques 17 :
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?
(A) 117 minutes.
(B) 139 minutes.
(C) 157 minutes.
(D) 167 minutes.
Ques 18 :
A person walking 5/6 of his usual rate is 40 minutes late. What is his usual time?
(A) 1 hours 20 minutes.
(B) 2 hours 40 minutes.
(C) 3 hours 20 minutes.
(D) 5 hours 20 minutes.
Ques 19 :
A train covers a distance in 50 min ,if it runs at a speed of 48kmph on an average.The speed at which the train must run to reduce the time of journey to 40 min will be.
(A) 40kmph
(B) 60kmph
(C) 50kmph
(D) 45kmph
Ques 20 :
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.
(A) 45 years
(B) 27 years
(C) 9 years
(D) 3 years
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