5984 balls are stocked in a pile. The top layer has 1 ball, the layer below it has 3 balls, the layer below which has 6 balls, the layer below which has 10 balls and so on. Find the number of layers in the pile.
A :
32
B :
28
C :
30
D :
36
Answer: A
Q. No. :
2
Question :
A man had Rs 100 in the denominator of Rs 5 coins, Rs 1 coins and Rs 25 paisa coins. If he had a total of 100 coins and at least 1 of each denominator, in how many possible combinations could he have had the money?
A :
5
B :
6
C :
7
D :
8
Answer: A
Q. No. :
3
Question :
Three friends divided some bullets equally. After all of them shot 4 bullets the total number of bullets remaining is equal to the bullets each had after division. Find the original number divided.
A :
16
B :
18
C :
20
D :
22
Answer: B
Q. No. :
4
Question :
In a LMA election for the post of president, the winner gets 35 more votes than his nearest rival and 55 more votes than the third candidate. The second runner up and the first runner up got average 75 votes. If there was no invalid vote, then find the total no. of votes cast.
A :
260
B :
290
C :
310
D :
270
Answer: D
Q. No. :
5
Question :
A vessel contains pure milk costing Rs 20 per litre. A certain quantity of ater, which is free of cost is added to it. As a result the cost of the mixture becomes Rs 18 per litre. Find the ratio of milk and water in the mixture.
A :
8:1
B :
1:9
C :
10:1
D :
9:1
Answer: D
Q. No. :
6
Question :
There are two types of employees in Sun Metals, general graduates and engineers. 40% of the employees in Sun Metals are general graduates, and 75% of the engineers earn more than Rs. 5 lakh/year. If 50% of the organisation’s employees earn more than Rs. 5 lakh/year, what proportion of the general graduates employed by the organisation earn Rs. 5 lakh or less?
A :
3/5
B :
3/4
C :
7/8
D :
7/9
Answer: C
Q. No. :
7
Question :
In an exam, the average was found to be 60 marks. After deducting computational errors, the marks of the 100 candidates had to be changed from 80 to 50 each, and the average came down by 10 marks. The total number of candidates who took the exam were:
A :
150
B :
200
C :
300
D :
600
Answer: C
Q. No. :
8
Question :
Two poles of height 2 meters and 3 meters, are 5 meters apart. The height of the point of intersection of the lines joining the top of each poles to the foot of the opposite pole is,
A :
1.2 m
B :
1 m
C :
2 m
D :
5 m
Answer: A
Q. No. :
9
Question :
In an Isosceles triangle, each of the equal sides is 10cm long. If the area of the triangle is less than 48 sqcm, which of the following is not a possible measure(in cm) of the third side?
A :
11
B :
9
C :
14
D :
18
Answer: C
Q. No. :
10
Question :
All the three-digit numbers are written in the ascending order, from left to right, in a row such that each three-digit number is separated from the following number by a comma. How many such commas are present for which the digit immediately preceding the comma equals the digit immediately following it?
A :
89
B :
90
C :
99
D :
100
Answer: B
Q. No. :
11
Question :
In a locality, each family has at most two adults. No family has less than three children. Considering all the families in the locality there are more adults than girls, more girls than boys and more boys than families. Find the minimum number of families in the locality.
A :
2
B :
3
C :
4
D :
5
Answer: B
Q. No. :
12
Question :
Girish takes 1minute to complete a round around a circular track. Harish is twice as fast as Girish. Suresh is thrice as fast as Harish. All three start at the same point. Find the time taken by them to meet at the starting point for the first time (in minutes)
A :
1
B :
2
C :
4
D :
6
Answer: A
Q. No. :
13
Question :
Three friends divided some bullets equally. After all of them shot 4 bullets the total number of bullets remaining is equal to the bullets each had after division. Find the original number divided.
A :
15
B :
16
C :
17
D :
18
Answer: D
Q. No. :
14
Question :
Two clocks begin to strike 11 together. The first clock strikes its stroke in 3 seconds while the second strikes in 2 seconds. What is the interval between the first clock’s fifth stroke and the second clock’s seventh stoke?
A :
1 sec
B :
5 sec
C :
7 sec
D :
No time interval
Answer: D
Q. No. :
15
Question :
Some coins are distributed among 4 people A,B,C and D. In how many ways can they be distributed such that the product of the number of coins with the 4 people is 1050?
A :
60
B :
256
C :
1024
D :
640
Answer: D
Q. No. :
16
Question :
There is a park in the shape of rhombus. One of the side is 5 units in length. There are two gates exactly at the mid points of two adjacent walls of the park. There is straight path connecting two gates which is 4 units in length. Find the area of the park (in sq. units).
A :
6
B :
8
C :
12
D :
24
Answer: D
Q. No. :
17
Question :
Two taps, which can fill a tank in 12 hour and 36 hour, are opened simultaneously. When the tank was supposed to be full, it was found that only (5/6)th of it was full due to leak at the bottom. Find the time in which the remaining part of the tank would be filled (in hours).
A :
2.4
B :
3.6
C :
1.8
D :
1.5
Answer: C
Q. No. :
18
Question :
The cost of 17 apples, 13 bananas and 9 orange is Rs 130, whereas the cost of 13 oranges, 7 apples and 10 bananas is Rs 100. Find the cost (in Rs) of 1 apple, 1 banana and 1 orange put together.
A :
8
B :
10
C :
12
D :
15
Answer: B
Q. No. :
19
Question :
A manufacturer has 200 litres of acid solution which has 15% acid content. How many litres of acid solution with 30% acid content may be added so that acid content in the resulting mixture will be more than 20% but less than 25%?
A :
More than 100 litres but less than 300 litres
B :
More than 120 litres but less than 400 litres
C :
More than 100 litres but less than 400 litres
D :
More than 120 litres but less than 300 litres
Answer: C
Q. No. :
20
Question :
A cuboid has a volume of 64 cubic units. Find the minimum possible value(in units) of the sum of the lengths of the edges of the cuboid
A :
36
B :
40
C :
48
D :
54
Answer: C
Q. No. :
21
Question :
In a certain examination paper, there are n questions. For j = 1, 2….. n, there are 2^(n–j) students who answered jth questions wrongly. If the total number of wrong answers is 4095, then the value of n is
A :
9
B :
10
C :
11
D :
12
Answer: D
Q. No. :
22
Question :
B is 37.5% less efficient than A whereas C is 60% less efficient than B. If A and C together can do a work in 42 days. Find how long will all three together take to complete the same work.
A :
14 days
B :
21 days
C :
28 days
D :
32 days
Answer: C
Q. No. :
23
Question :
A watch ticks 90 times in 95 seconds and a clock ticks 315 times in 323 seconds. If both started together, how many times will they tick together in the first hour?
A :
320
B :
100
C :
101
D :
123
Answer: B
Q. No. :
24
Question :
Anwar would have to incur Rs 600, Rs 900 and Rs 1200 as the expenses if he got a job done by A,B and C respectively. The daily wages of A,B and C are Rs 100, Rs 60, Rs 40 respectively. find the cost of Anwar of getting the job done by all three of them(in Rs)
A :
600
B :
700
C :
750
D :
800
Answer: C
Q. No. :
25
Question :
The average rainfall in Kasauli for a particular season was 23 cm, but for the 2 days the total rainfall was 27 cm altogether. Apart from these two days the average rainfall was 24 cm for the other days. How much did the total rainfall for that reason.
A :
483 cm
B :
496 cm
C :
474 cm
D :
501 cm
Answer: A
Q. No. :
26
Question :
In how many ways can seven friends be seated in a row having 35 seats, such that no two friends occupy adjacent seats?