Mathematical and Logical Reasoning Quiz

What is the sum of all two digit numbers that give a remainder of 3 when they are divided by 7?

• 666

• 676

• 683

• 777

An article is sold at a loss of 10%. Had it been sold for Rs. 9 more, there would have been a gain of 12.5% on it. The cost price of the article is

• 20

• 30

• 40

• 60

The difference between the simple and compound interest on a certain sum of money at 5% rate of interest per annum for 2 years is Rs. 15. Then the sum is:

• Rs. 6,500

• Rs. 5,500

• Rs. 6,000

• Rs. 7,000

A piece of paper is in the shape of a right angle triangle and is cut along a line that is parallel to hypotenuse, leaving a smaller triangle. There was a 35% reduction in the length of the hypotenuse of the triangle. If the area of the original triangle was 34 square inches before the cut, what is the area (in square inches) of the smaller triangle?

• 16.665

• 16.565

• 15.465

• 14.365

Two boats, travelling at a 5 and 10 kmph, head directly towards each other. They begin at a distance of 20kms from each other. How far apart are they (in kms) one minute before they collide?

• 1/12

• 1/6

• 1/4

• 1/3

If a man cycles at 10 kmph, then he arrives at a certain place at 1pm. If he cycles at 15 kmph, he will arrive at same place at 11 am. At what speed must he cycle to get there at noon?

• 11 kmph

• 12 kmph

• 13 kmph

• 14 kmph

Pascal and Rascal are two workers. Working tighter they can complete the whole work in 10 hours. If the Pascal worked for 2.5 hours and Rascal worked for 8.5 hours, still there was half of the work to be done. In how many hours Pascal working alone, can complete the whole work?

• 24 hrs

• 17(1/7) hrs

• 40 hrs

• CND

Poles are to be created along the boundary of a rectangular field in such a way that distance between any two adjacent poles is 1.5 metres. The perimeter of the field is 21 metres and length and the breadth are in the ratio of 4:3 respectively. How many poles will be required?

• 14

• 16

• 15

• 20

In a word jumble, there are 8 consonants and 5 vowels given. Find out in how many ways can we form a 5-letter word having three consonants and 2 vowels?

• 67200

• 8540

• 720

• None of these

A mixture of 40 litres of milk and water, contains 20% of water. How much water must be added to the above mixture to make the water 25% of the resultant mixture?

• 3 litre

• 2.33 litre

• 2.67 litre

• 4 litre