UGEE REAP Mock Test- 5 - JEE MCQ

There are three Taps A, B and C in a tank. They can fill the tank in 10 hrs, 20 hrs and 25 hrs respectively. At first, all of them are opened simultaneously. Then after 2 hours tap C is closed and A and B are kept running. After the 4th hour, tap B is also closed. The remaining work is done by Tap A alone. Find the percentage of the work done by Tap A by itself.

A sum-of money placed at compound interest doubles itself in 3 years. In how many years will it amount to 8 times itself?

A sum of money becomes 7/4 of itself in 6 years at a certain rate of simple interest. Find the rate of interest.

A sum of Rs. 600 amounts to Rs. 720 in 4 years at simple interest. What will it amount to if the rate of interest is increased by 2%?

A man sees a train passing over a bridge 1 km long. The length of the train is half that of the bridge, if the train clears the bridge in 2 minutes, the speed of the train is

Helium is two times heavier than H₂, The average kinetic energy per molecule for helium at 300K is

When I was a child, there used to be a fair in my town during the Diwali and Eid festivities. Among the many things I saw was a strange puppet show. There were three puppets, one of a man, another of a woman and the third one of a rakshasa (demon). Whenever the rakshasa was brought close to the woman, she would turn her face away. But when the man was brought close to her, she would turn back and face the man.

I and my friends looked at this show and argued for hours what caused the woman to turn her face. Choose one or more of the options below about my childhood experience above:

Q. If there were magnets fixed in the heads the puppets inside the head such that one end of the magnet was at the mouth (M) and the other at the back of the head (B), then the arrangement of the north (N) and south (S) poles of the magnets must be like:

If log₂[log₃(log₂x)] = 1, then x is equal to:

If log₁₀ 2 = 0.3010, then log₂ 10 is :

A ball rolling up an incline covers 36 metres during the first second, 32 metres during the second, 28 meters during the next and so on. How much distance will it travel during the 8^th second?

The sum of first three terms of a GP. is to the sum of first six terms is 125:152. Find the common ratio of G.P.

The common ratio of a G.P. is and the sum to infinity is 80/9. Find the First term.

In how many ways can Ram choose a vowel and a consonant from the letter ALLAHABAD?

In how many ways can the letters of the word EQUATION be arranged so that all the vowels come together?

There are 25 points on a plane of which 7 are collinear. Now solve the following:

Q. How many straight lines can be formed?

There are 25 points on a plane of which 7 are collinear. Now solve the following:

Q. How many triangles can be formed from these points?

What is the chance that a leap year, selected at random, will contain 53 Sunday?

In a simultaneous throw of two dice, find P (A or B) if A denotes the event 'a total of 11 and B denotes the event’ ‘an odd number on each die'.

Direction: Read the following in Information carefully and answer the question below it.

A family consists of six members P, Q, R, X, Y and Z. Q is the son of R but R is not mother of Q. P and R are a married couple. Y is the brother of R. X is the daughter is the brother of P. Z is the brother of P.

Who is the brother-in-law of R?

Direction: A cuboid is divided into 192 identical cubelets This is done by making minimum no. ot cuts possible. All cuts are parallel to some of the face. But before doing so. The cube is painted with green color on one set of opposite faces. Blue on other set of opposite faces and red on their pair of annosit faces.

What is the maximum number of cubelets possible which one colored with green colored only?