Mixture and Alligation, Mensuration, Data Interpretation, Probability, Permutation and Combination - One Line Questions
1.
In what ratio should 60 per kg sugar be mixed with 75 per kg sugar so that the resultant mixture costs 65 per kg? —
2:1
2.
A shopkeeper mixes two types of tea, one costing Rs. 40 per kg and another Rs. 55 per kg. He sells the mixture at Rs. 54 per kg. What is the ratio in which he mixed the two types of tea? —
1:2
3.
In what ratio must rice at Rs. 7.20 per kg be mixed with rice at Rs. 5.70 per kg so that by selling the mixture at Rs. 8.50 per kg, there is a gain of 15%? —
2:1
4.
Two alloys, A and B, contain copper and zinc in the ratio 3:5 and 1:4 respectively. In what ratio should the two alloys be mixed so that the resulting alloy has copper and zinc in the ratio 2:7? —
3:2
5.
What is the probability of getting a head when a coin is tossed? —
1/2
6.
If a number is selected at random from the first 20 natural numbers, what is the probability that it is a multiple of 3? —
1/4
7.
What is the probability of getting a sum of 7 when two dice are rolled? —
1/6
8.
The average of 5 numbers is 6. If one number is removed, the average becomes 5. What is the removed number? —
10
9.
A train 150 m long is moving at 45 km/hr. In what time will it pass a platform 100 m long? —
20 seconds
10.
A shopkeeper sells 10 kg of sugar at Rs. 12 per kg and 15 kg of sugar at Rs. 10 per kg. What is the average price per kg of the mixture? —
10.80
11.
A square has a side length of 10 cm. What is its area? —
100 sq cm
12.
The perimeter of a square field is 400 m. What is the area of the field? —
10000 sq m
13.
In a class of 30 students, the probability of selecting a girl is 2/5. How many boys are there in the class? —
18
14.
A train travels at 60 km/hr. How many seconds will it take to travel 120 meters? —
7.2 seconds
15.
Two trains of equal length pass a pole in 10 seconds and 15 seconds respectively. In what time will they cross each other if they are moving in the same direction? —
12 seconds
16.
A bag contains 3 red balls and 4 blue balls. If two balls are drawn at random, what is the probability that one is red and one is blue? —
6/7
17.
In how many ways can the letters of the word 'APPLE' be arranged? —
60
18.
How many permutations are there of the digits 1, 2, 3, 4, 5 taken all at a time? —
120
19.
How many different signals can be made by hoisting 3 red, 4 yellow and 2 blue flags on a pole? —
1260
20.
A car travels 100 km in 2 hours. What is its speed in meters per second? —
13.89 m/s
21.
The radius of a circle is 21 cm. What is its area? —
1386 sq cm
22.
The sides of a triangle are in the ratio 3:4:5. If the perimeter is 60 cm, what is the length of the longest side? —
25 cm
23.
The average of 10 numbers is 30. If each number is multiplied by 5, what will be the new average? —
150
24.
Two trains are running in opposite directions, the first train passes a pole in 2 seconds and the second train passes the pole in 3 seconds. In how much time will they cross each other? —
2.4 seconds
25.
A number is chosen at random from the numbers 1 to 10. What is the probability that the number is prime? —
2/5
26.
A bag contains 4 red and 6 blue marbles. If one marble is drawn at random, what is the probability of drawing a blue marble? —
3/5
27.
The area of a circular field is 1386 sq m. What is its radius? —
21 m
28.
In how many ways can the letters of the word 'RACE' be arranged? —
24
29.
A rectangular field is 50 m long and 40 m wide. A path 2.5 m wide is constructed outside the field. What is the area of the path? —
390 sq m
30.
The average of 6 numbers is 20. If one number is added, the average becomes 22. What is the added number? —
34
31.
The average of 5 numbers is 27. If one number is excluded, the average becomes 25. What is the excluded number? —
40
32.
A rectangular sheet of paper has length 20 cm and breadth 15 cm. What is its perimeter? —
70 cm
33.
The average temperature for the first three days of a week was 35°C. For the next four days, it was 38°C. What is the average temperature for the week? —
36.14°C
34.
A mixture contains alcohol and water in the ratio 4:3. If 5 liters of water are added to the mixture, the ratio becomes 4:5. What is the quantity of alcohol in the given mixture? —
16 liters
35.
A vessel contains a mixture of milk and water in the ratio 5:3. If 8 liters of milk are added to the mixture, the ratio becomes 11:6. What was the initial quantity of milk in the vessel? —
50 liters
36.
In how many ways can a committee of 3 men and 2 women be formed from 7 men and 5 women? —
420
37.
The area of a circle is 154 sq cm. What is its circumference? —
44 cm
38.
The average age of a class of 30 students is 15 years. If the teacher's age is included, the average age increases by 1 year. What is the teacher's age? —
46 years
39.
A right-angled triangle has a base of 6 cm and a height of 8 cm. What is its area? —
24 sq cm
40.
How many ways can 5 different books be arranged on a shelf? —
120
41.
In how many ways can 5 people be seated in a row? —
120
42.
The sum of two numbers is 12 and their product is 35. What are the numbers? —
5 and 7
43.
A bag contains 5 red balls and 7 blue balls. If two balls are drawn at random, what is the probability that both are red? —
35/132
44.
In how many ways can the letters of the word 'SUCCESS' be arranged? —
420
45.
The average marks of a student in 5 subjects are 72. If the marks in the sixth subject are added, the new average becomes 70. What are the marks in the sixth subject? —
50
46.
The length of a rectangle is twice its breadth. If its area is 288 sq m, what is its perimeter? —
72 m
47.
A rectangular garden is 12 m long and 5 m wide. A path of uniform width of 2 m is made around the garden. What is the area of the path? —
76 sq m
48.
The average weight of 8 men is increased by 1.5 kg when one of the men, whose weight is 65 kg, is replaced by a new man. What is the weight of the new man? —
75 kg
49.
The perimeter of a rectangle is 40 cm. If the length is 12 cm, what is its breadth? —
8 cm
50.
The area of a square is 64 sq cm. What is the length of its diagonal? —
8√2 cm