Today Quiz Questions ?

A positive integer is written on each face of a cube. Each vertex of the cube is then assigned a number equal to the product of the numbers on the three faces intersecting at that vertex. If the sum of the numbers written on the vertices is equal to 1001, what is the sum of the numbers written on the faces of the cube?

Find the sum of series 1/2+5/4+7/8+17/16+......+4097/4096?

Three circular rings have been placed inside a larger ring in such a way that each of the smaller rings touches each other as well as the outer ring. If the diameter of each smaller ring is 2 cm, what is the area of the larger ring? Ignore the height of the rings.

1! × 2! × 3! × ... × 99! × 100! = 180^k × m What is the value of k, if m is not a multiple of 5?

Ramu sells two types of flour viz. bread flour and cake flour. Selling bread flour at Rs.18 per kg and the cake flour at Rs.30 per kg, he incurred a loss of 10% and a gain of 20% respectively. In what proportion should he mix the bread flour and cake flour to gain a profit of 25% by selling the mixture at Rs.27.5 per kg?

What is the remainder when 1 + 3^1 + 3^2 + …… 3^200 is divided by 13?

Starting from 5 p.m., 8 trains – A to H – left CST station at intervals of 5 minutes each. The speed of each train is a distinct natural number. Ravi, a train-cum-math aficionado, also knew that: 1. The speed of H is 4 km/min and the speed of D is the average of the speeds of H and B. 2. The speed of B and C is in the ratio 1 : 3. 3. F, at 8 km/min, is the fastest of the trains. 4. A is faster than G, and always beats G by 2 kms every minute. 5. E was the third to leave. 6. The ratio of the running time of H and G is 6 : 7 and that of D and A is 6 : 5 7. The difference between the running times of E and B is the same as that between A and F. 8. F travels the maximum distance. Can you help Ravi create a unique train timetable and help him find the distance each train had travelled at 7 p.m. on the same day.

20 men work 8 hours a day for as many days and complete some part of a task. Due to negotiated working terms, 25% fewer men work 25% more per day and complete the remaining part of the task in 25% days less than the earlier team. What percentage of the task was completed before the terms were negotiated?

a, b, c and d are four numbers between -5 and +5 with the following constraints: 5 < a + b < 10, –10 < c + d <–5 Then, which of the following statements are true?

Ronak (facing north) wants to drive from his house at point A to his friend’s house at B. He travels 20 km to the right and takes a left turn. Now, while driving on this road, he misses the right turn that directly takes him to his friend’s house. So, he drives 60 km on this road and takes the next available right turn. He now drives for 40 km, takes a right turn, drives 30 km, takes another right turn and drives 20 km to finally reach his friend’s house. If Ronak’s car gives a mileage of 14 kmpl and 1 litre of petrol costs Rs. 80, how much money has Ronak wasted? Assume that there is no other road that connects points A and B.

10^21 – 7 is divisible by