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APTITUDERANDOMTEST
Ques 1 :
Mr. Shah decided to walk down the escalator of a tube station. He found that if he walks down 26 steps, he requires 30 seconds to reach the bottom. However, if he steps down 34 stairs he would only require 18 seconds to get to the bottom. If the time is measured from the moment the top step begins to descend to the time he steps off the last step at the bottom, find out the height of the stair way in steps?
(A) 42 steps.
(B) 44 steps.
(C) 46 steps.
(D) 48 steps.
Ques 2 :
A, B and C started a business by investing Rs. 1,20,000, Rs. 1,35,000 and ,Rs.1,50,000 respectively. Find the share of each, out of an annual profit of Rs. 56,700.
(A) A= Rs. 15800, B = Rs. 19900, C = Rs. 21000.
(B) A= Rs. 17800, B = Rs. 19900, C = Rs. 23000.
(C) A= Rs. 18800, B = Rs. 18900, C = Rs. 23000.
(D) A= Rs. 16800, B = Rs. 18900, C = Rs. 21000.
Ques 3 :
Simplify: 99
48/49
* 245.
(A) 24595
(B) 24495
(C) 24485
(D) 25495
Ques 4 :
If the cost price is 96% of sp then what is the profit %.
(A) 4.05%
(B) 4.10%
(C) 4.15%
(D) 4.17%
Ques 5 :
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 6 :
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 7 :
Pointing out of photograph, a man tells his friend, "She is the daughter of the only son of my father's wife." How is the girl in the photograph related the the man?
(A) Daughter
(B) Cousin
(C) Mother
(D) Sister
Ques 8 :
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 9 :
Evaluate: 30!/28!
(A) 810
(B) 830
(C) 850
(D) 870
Ques 10 :
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?
Ans.
(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 11 :
The mean weight of 180 students in a school is 50 kg. The mean weight of boys is 60 kg, while that of girls is 45 kg. Find the number of boys and girls in the school.
(A) 80, 100
(B) 70, 110
(C) 65, 115
(D) 60, 120
Ques 12 :
How many iron rods, each of length 7 m and diameter 2 cm can be made out of 0.88 cubic meter of iron?
(A) 300
(B) 400
(C) 500
(D) 600
Ques 13 :
The true discount on a certain sum of money due 3 years hence is Rb. 250 and the simple interest on the same sum for the same time and at the same rate is Rs. 375. Find the sum and the rate percent.
(A) 12 2/3%
(B) 16 2/3%
(C) 20 2/3%
(D) 24 2/3%
Ques 14 :
What is the sum of the first 25 natural odd numbers?
(A) 225
(B) 125
(C) 525
(D) 625
Ques 15 :
Find the cash released by selling Rs. 2440, 9.5% stock at 4 discount (brokerage (1/4) %)
(A) 1898
(B) 1998
(C) 2198
(D) 2298
Ques 16 :
A man can row 40km upstream and 55km downstream in 13 hours also, he can row 30km upstream and 44km downstream in 10 hours.find the speed of the man in still water and the speed of the current.
(A) 5kmph
(B) 4kmph
(C) 3kmph
(D) 2kmph
Ques 17 :
A certain sum amounts to rs.7350 in 2 years and to rs.8575 in 3 years.find the sum and rate percent.
(A) rate 16 2/3% and sum 5400
(B) rate 17 2/3% and sum 5500
(C) rate 16 2/5% and sum 5360
(D) rate 17 2/5% and sum 5460
Ques 18 :
The sum of a rational number and its reciprocal is 13/6. Find the number.
(A) x = 5/3 or x = 3/2
(B) x = 2/3 or x = 3/2
(C) x = 2/3 or x = 5/2
(D) x = 5/3 or x = 3/5
Ques 19 :
Find the area of a right-angled triangle whose base is 12 cm and hypotenuse is 13cm.
(A) 60 cm
2
(B) 50 cm
2
(C) 40 cm
2
(D) 30 cm
2
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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