Directions: What value should come in the place of question mark (?) in the following number series?
1. 15, 21, 31, 45, ?
1) 61
2) 62
3) 64
4) 73
5) 63
2. 39, 48, 66, 93, 129, ?
1) 171
2) 178
3) 164
4) 174
5) 163
3. 274, 137, 68, 33, 15, ?
1) 5.5
2) 4.5
3) 5
4) 3.5
5) 4
4. 11, 36, 104, 317, ?
1) 963
2) 958
3) 945
4) 973
5) 963
Directions: Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of mathematics to choose between the possible answers. Give answer:
1) if the statement A alone is sufficient to answer the question, but the statement B alone is not sufficient.
2) if the statement B alone is sufficient to answer the question, but the statement A alone is not sufficient.
3) if the both statement A and B together are needed to answer the question.
4) if either the statement A alone or B alone is sufficient to answer the question.
5) if you cannot get the answer from the statements A and B together, but needed even more data.
5. The ratio between two numbers is 6: 7. Find the two numbers.
A. LCM of the two numbers is 462.
B. Difference between two numbers is a multiple of 16.
6. What is the per cent rate of simple interest per annum?
A. The amount with interest rate doubles itself in 4 year.
B. The interest earned in the first year was Rs. 200
7. What is the total number of girls in the class?
A. The respective ratio of number of boys and girls in the class is 8: 7.
B. The average height of girls in the class is 2cm less than the average height of all the students in the class.
8. A boat running upstream takes 640 min to cover a certain distance, while it takes 280 min to cover the same distance running down stream. What is the ratio between the speed of the boat and speed of water current respectively?
1) 23: 7
2) 22: 9
3) 23: 8
4) 23: 9
5) 23: 11
9. Disha drives a car at an average speed of 48 km/h and reach her destination in 6 hours. Himanshu covers that distance in 4 hours. If Disha increases her average speed by 8 km/h and Himanshu increases his average speed by 4 km/h, then what will be the difference in time taken by them to reach their destination?
1) 1 47/133 hr
2) 1 41/133 hr
3) 2 47/133 hr
4) 1 40/133 hr
5) 1 45/133 hr
10. In a class, 8% of total students are interested in Football. Four-fifth of total students are interested in Cricket. 10% of total students are interested in Basketball and remaining 20 students are not interested in any games. How many students are there in the class?
1) 850
2) 800
3) 900
4) 950
5) 1000
1. 5
2. 4
3. 1
4. 3
5. 1
Let the two numbers be 6x and 7x.
From statement A, we get
LCM = 42x = 462
x = 11
Two numbers are 66 and 77.
6. 1
From statement A, we get
t = 4
A = 2P
SI = (2P - P) = P
Rate = (SI * 100)/(P * T)
= (100 * P)/(P * 4)
= 25%
7. 5
Data together in both the statements are not sufficient to ancwer the questions.
8. 4
Let boat's rate upstream be x and boat's rate downstream by y.
Distance covered in 640 min = = Disance covered in 280 min
x * 640 = y * 280
16x = 7y
Required Ratio = (y + x)/2 : (y - x)/2
= (y + 7/16y) : (y - 7/16y) = 23 : 9
9. 1
Distance = 48 * 6 = 288km
Speed of Himanshu = 288/4 = 72 km/hr
Time taken by Disha after increasing average speed
= 288/(48 + 8) = 5 1/7 hr
Time taken by Himanshu after increasing average speed
= 288/(72 + 4) = 3 15/19 hr
Required difference = 36/7 - 72/19
(684 - 504)/133 = 180/133 hr = 1 47/133 hr
10. 5
Let total student be 100
Interested in Football = 8/100 * 100 = 8
Interested in cricket = 100 * 4/5 = 80
Interested in basketball = 100 * 10/100 = 10
Remaining = 100 - (8 + 80 + 10) = 2 students
Total students = 100/2 * 20 = 1000
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