Numerical Ability
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Question 1 
A train travelling at a speed of 75 mph enters a tunnel 3 miles long. The train is mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
A  2.5 min 
B  3 min

C  3.2 min 
D  3.5 min 
Question 2 
A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:
A  45 m 
B  50 m

C  54 m 
D  72 m 
Question 3 
A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?
A  40 
B  50

C  54 
D  60 
Question 4 
A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?
A  18 days 
B  24 days

C  30 days 
D  36 days 
Question 5 
A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
A  No profit, no loss 
B  5%

C  8% 
D  10%

E  None of these

Question 6 
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
A  14 years 
B  19 years

C  33 years 
D  38 years 
Question 7 
A person's present age is twofifth of the age of his mother. After 8 years, he will be onehalf of the age of his mother. How old is the mother at present?
A  32 years 
B  36 years

C  40 years 
D  48 years 
Question 8 
The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:
A  3500 
B  4000

C  4050 
D  5000 
Question 9 
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:
A  53.33 
B  54.68

C  55 
D  None of these 
Question 10 
In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?
A  10080 
B  4989600

C  120960 
D  None of these 
Question 11 
The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
A  9000 
B  9400

C  9600 
D  9800 
Question 12 
The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:
A  1008 
B  1015

C  1022 
D  1032 
Question 13 
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
A  648 
B  1800

C  2700 
D  10800 
Question 14 
An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 meters of cloth?
A  178 
B  195

C  204 
D  488 
Question 15 
A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:
A  7.5% 
B  8%

C  9.7% 
D  None of these 
Question 16 
If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is:
A  50 km 
B  56 km

C  70 km 
D  80 km 
Question 17 
A farmer traveled a distance of 61 km in 9 hours. He traveled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance traveled on foot is:
A  14 km 
B  15 km

C  16 km 
D  17 km 
Question 18 
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?
A  3.6 
B  6

C  18 
D  Cannot be determined

E  None of these 
Question 19 
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?
A  1 : 3 
B  1 : 4

C  2 : 3 
D  Data inadequate

E  None of these 
Question 20 
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
A  Rs. 8400 
B  Rs. 11,900

C  Rs. 13,600 
D  Rs. 14,700 
Question 21 
Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?
A  Rs. 890 
B  Rs. 1335

C  Rs. 1602 
D  Rs. 1780 
Question 22 
On 8^{th} Dec, 2007 Saturday falls. What day of the week was it on 8^{th} Dec, 2006?
A  Sunday 
B  Thursday

C  Tuesday 
D  Friday 
Question 23 
The largest 4 digit number exactly divisible by 88 is:
A  9944 
B  9768

C  9988 
D  8888

E  None of these 
Question 24 
A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder will be:
A  1 
B  2

C  8 
D  11 
Question 25 
The difference of the squares of two consecutive odd integers is divisible by which of the following integers ?
A  3 
B  6

C  7 
D  8 
Question 26 
Two pipes A and B can fill a cistern in 37 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:
A  5 min. 
B  9 min.

C  10 min. 
D  15 min. 
Question 27 
A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
A  3 hrs 15 min 
B  3 hrs 45 min

C  4 hrs 
D  4 hrs 15 min 
Question 28 
Find the odd man out.
396, 462, 572, 427, 671, 264
A  396 
B  427

C  671 
D  264 
Question 29 
Find the odd man out.
41, 43, 47, 53, 61, 71, 73, 81
A  61 
B  71

C  73 
D  81 
Question 30 
The angle of elevation of a ladder leaning against a wall is 60Âº and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:
A  2.3 m 
B  4.6 m

C  7.8 m 
D  9.2 m 
Question 31 
There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?
A  Rs. 2160 
B  Rs. 3120

C  Rs. 3972 
D  Rs. 6240

E  None of these 
Question 32 
If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time?
A  Rs. 51.25 
B  Rs. 52

C  Rs. 54.25 
D  Rs. 60 
Question 33 
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
A  39, 30 
B  41, 32

C  42, 33 
D  43, 34 
Question 34 
Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A  Rs. 15 
B  Rs. 15.70

C  Rs. 19.70 
D  Rs. 20 
Question 35 
The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:
A  0Âº 
B  10Âº

C  5Âº 
D  20Âº 
Question 36 
Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:
A  9 
B  11

C  13 
D  15 
Question 37 
The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:
A  380 
B  395

C  400 
D  425 
Question 38 
The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
A  Rs. 3500 
B  Rs. 3750

C  Rs. 3840 
D  Rs. 3900 
Question 39 
A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:
A  22 
B  23

C  24 
D  26 
Question 40 
In a mixture 60 liters, the ratio of milk and water 2 : 1. If the this ratio is to be 1 : 2, then the quantity of water to be further added is:
A  20 liters 
B  30 liters

C  40 liters 
D  60 liters 
Question 41 
Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:
A  27 
B  33

C  49 
D  55 
Question 42 
A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
A  2 : 1 
B  3 : 2

C  8 : 3 
D  Cannot be determined

E  None of these 
Question 43 
Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:
A  16 hours 
B  18 hours

C  20 hours 
D  24 hours 
Question 44 
The least perfect square, which is divisible by each of 21, 36 and 66 is:
A  213444 
B  214344

C  214434 
D  231444 
Question 45 
If 5^{a} = 3125, then the value of 5^{(a  3)} is:
A  25 
B  125

C  625 
D  1625 
Question 46 
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
A  0 
B  1

C  10 
D  19 
Question 47 
Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
A  5 : 7 : 8 
B  B. 20 : 49 :64 
C  38 : 28 : 21 
D  None of these 
Question 48 
The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:
A  12 years 
B  14 years

C  18 years 
D  20 years 
Question 49 
A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
A  220 km 
B  224 km

C  230 km 
D  234 km 
Question 50 
A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :
A  4 days 
B  6 days

C  8 days 
D  18 days 
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