1.
The H.C.F. of 2² × 3³ × 5⁵, 2³ × 3² × 5² × 7 and 2⁴ × 3⁴ × 5 × 7² × 11 is
2.
Which of the following is a pair of co-primes?
3.
The L.C.M. of 2/3,3/5,4/7,9/13 is
4.
A milkman has 3 jars containing 57 litres, 129 litres and 177 litres of pure milk respectively. A measuring can, after a different number of exact measurements of milk in each jar, leaves the same amount of milk unmeasured in each jar. What is the volume of the largest such can?
5.
What is the least natural number which leaves no remainder when divided by all the digits from 1 to 9?
6.
Three sets of English, Mathematics and Science books containing 336, 240 and 96 books respectively have to be stacked in such a way that all the books are stored subject wise and the height of each stack is the same. Total number of stacks will be.
7.
The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is
8.
Find the least number which when divided by 12, leaves a remainder of 7; when divided by 15, leaves a remainder of 10 and when divided by 16, leaves a remainder of 11.
9.
The inner circumference of a circular field is 704 m. A road 7 m wide is constructed on the outside. Find the area of the path.
10.
A square park has each side of 100 m. At each corner of the park, there is a flower bed in the form of a quadrant of radius 14 m as shown in the figure. Find the area of the remaining part of the park.
11.
A wire, when bent in the form of a square, encloses a region having area 121 cm². If the same wire is bent into the form of a circle, then the area of the circle is (take π=22/7)
12.
A circular wire of radius 4.2 m is cut and bent in the form of a rectangle whose longer side is 20% more than its shorter side. The longer side of the rectangle is :
13.
The difference between the circumference and the diameter of the circle is 15 m. What is the area of the circle?
14.
If the driving wheel of a bicycle makes 560 revolutions in travelling 1.1 km. Find the diameter of the wheel:
15.
Three subjects in an examination have maximum marks per subjects in the ratio of 1: 2: 4 respectively. If a student obtained 40% in the first subject, 50% in the second and 60% in the third subject, then what percentage did he score overall?
16.
Ms. Deepti Jain invests 11% of her monthly salary, i.e. Rs. 5,236 in Fixed Deposits. Later she invests 19% of her monthly salary of Life Insurance Policies, also she invests another 7% of her monthly salary on Mutual Funds. What is the total annual amount invested by Ms. Deepti Jain?
17.
Mr. Amit gave 40% of the money he had, to his wife. He also gave 20% of the remaining amount for his three sons. Half of the mount now left was spent on other items and the remaining of Rs. 12,000 was deposited in the bank. How much money did Mr. Amit have initially?
18.
A boat goes 8 km in one hour along the stream and 2 km in one hour against the stream. The speed in km/hr of the stream is
19.
In one hour, a boat goes 11 km along the stream and 5 km against the stream. The speed of the boat in still water (in km/hr) is
20.
A man can row 3/4 of a km against the stream in 111/4 minutes and returns in 71/2 minutes. Find the speed of the man in still water.
21.
A boat, while going downstream in a river covered a distance of 50 miles at an average speed of 60 miles per hour. While returning, because of the water resistance, it took 1 hour 15 minutes to cover the same distance. What was the average speed during the whole journey?
22.
Arun sold 18 toys for Rs 16800 gaining there by the cost price of 3 toys. Find the cost price of a toy?
23.
If a shopkeeper sells a mixer at Rs 11,400 then he suffers a loss of 5%. At what price (in Rs) should he sell the mixer to gain 10%?
24.
To dispose of the old stocks, a person sold a tea–set for Rs. 68400, which was 43% below the cost price. In order to make a profit of 20%, the seller should have sold the set for Rs.___ ?
25.
A grain trader has 100 bags of rice. He sold some bags at 10% proﬁt and rest at 20% proﬁt. His overall proﬁt on selling these 100 bags was 14%. How many bags did he sell at 20% proﬁt?