Mental Ability PYQs
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Prelims 2005 – 2004 · page 5 of 11Tap an option to check it. For one question at a time, use Start practice above.
On a railway route between two places A and B, there are 10 stations on the way. If 4 new stations are to be added, how many types of new tickets will be required if each ticket is issued for a one-way journey?
Aryan runs at a speed of 40 metre/minute. Rahul follows him after an interval of 5 minutes and runs at a speed of 50 metre/minute. Rahul’s dog runs at a speed of 60 metre/minute and starts along with Rahul. The dog reaches Aryan and then comes back to Rahul, and continues to do so till Rahul reaches Aryan. What is the total distance covered by the dog?
A big rectangular plot of area 4320 m² is divided into 3 square-shaped smaller plots by fencing parallel to the smaller side of the plot. However some area of land was still left as a square could not be formed. So, 3 more square-shaped plots were formed by fencing parallel to longer side of the original plot such that no area of the plot was left surplus. What are the dimensions of the original plot?
2 men and 1 woman board a bus in which 5 seats are vacant. One of these five seats is reserved for ladies. A woman may or may not sit on the seat reserved for ladies but a man can not sit on the seat reserved for ladies. In how many different ways can the five seats be occupied by these three passengers?
A square is divided into 9 identical smaller squares. Six identical balls are to be placed in these smaller squares such that each of the three rows gets at least one ball (one ball in one square only). In how many different ways can this be done?
There are 6 persons – A, B, C, D, E and F. They are to be seated in a row such that B never sits anywhere ahead of A and C never sits anywhere ahead of B. In how many different ways can this be done?
300 persons are participating in a meeting, out of which 120 are foreigners and the rest are Indians. Out of the Indians there are 110 men who are not judges; 160 are men or judges, and 35 are women judges. There are no foreign judges. How many Indian women attended the meeting?
There are 6 persons: A, B, C, D, E and F.
(i) A has 3 items more than C
(ii) D has 4 items less than B
(iii) E has 6 items less than F
(iv) C has 2 items more than E
(v) F has 3 items more than D
Which one of the following figures cannot be equal to the total number of items possessed by all the 6 persons?
Ten identical particles are moving randomly inside a closed box. What is the probability that at any given point of time all ten particles will be lying in the same half of the box?
Two cars X and Y start from two places A and B respectively which are 700 km apart at 9 a.m. Both the cars run at an average speed of 60 km/hr. Car X stops at 10 a.m. and again starts at 11 a.m. while the other car Y continues to run without stopping. When do the two cars cross each other?
In a question of a test paper, there are five items each under List-A and List-B. The examinees are required to match each item under List-A with its corresponding correct item under List-B. Further, it is given that
1.No examinee has given the correct answer2.Answers of no two examinees are identicalWhat is the maximum number of examinees who took this test?
The details given below relate to the FOUR items that follow:
Amit wishes to buy a magazine. Four magazines—one each on politics, sports, science and films are available to choose from. They are edited by Feroz, Gurbaksh, Swami and Ila (not necessarily in that order) and published by Aryan, Bharat, Charan and Dev Publishers (not necessarily in that order). Further, it is given that
i) Dev Publishers have published the magazine edited by Feroz.
ii) The magazine on politics is published by Aryan Publishers.
iii) The magazine on films is edited by Swami and is not published by Charan Publishers.
iv) The magazine on science is edited by Ila.
For the following four items, select the correct answer:
The magazine on science is published by:
The details given below relate to the FOUR items that follow:
Amit wishes to buy a magazine. Four magazines—one each on politics, sports, science and films are available to choose from. They are edited by Feroz, Gurbaksh, Swami and Ila (not necessarily in that order) and published by Aryan, Bharat, Charan and Dev Publishers (not necessarily in that order). Further, it is given that
i) Dev Publishers have published the magazine edited by Feroz.
ii) The magazine on politics is published by Aryan Publishers.
iii) The magazine on films is edited by Swami and is not published by Charan Publishers.
iv) The magazine on science is edited by Ila.
For the following four items, select the correct answer:
The magazine on sports is:
The details given below relate to the FOUR items that follow:
Amit wishes to buy a magazine. Four magazines—one each on politics, sports, science and films are available to choose from. They are edited by Feroz, Gurbaksh, Swami and Ila (not necessarily in that order) and published by Aryan, Bharat, Charan and Dev Publishers (not necessarily in that order). Further, it is given that
i) Dev Publishers have published the magazine edited by Feroz.
ii) The magazine on politics is published by Aryan Publishers.
iii) The magazine on films is edited by Swami and is not published by Charan Publishers.
iv) The magazine on science is edited by Ila.
For the following four items, select the correct answer:
The magazine on films is:
The details given below relate to the FOUR items that follow:
Amit wishes to buy a magazine. Four magazines—one each on politics, sports, science and films are available to choose from. They are edited by Feroz, Gurbaksh, Swami and Ila (not necessarily in that order) and published by Aryan, Bharat, Charan and Dev Publishers (not necessarily in that order). Further, it is given that
i) Dev Publishers have published the magazine edited by Feroz.
ii) The magazine on politics is published by Aryan Publishers.
iii) The magazine on films is edited by Swami and is not published by Charan Publishers.
iv) The magazine on science is edited by Ila.
For the following four items, select the correct answer:
The magazine on politics is:
A and B start from the same point and in the same direction at 7 a.m. to walk around a rectangular field 400 m × 300 m. A and B walk at the rate of 3 km/hr and 2.5 km/hr respectively.
How many times shall they cross each other if they continue to walk till 12.30 p.m.?
Nine different letters are to be dropped in three different letter boxes. In how many different ways can this be done?
How many three-digit even numbers are there such that 9 comes as a succeeding digit in any number only when 7 is the preceding digit, and 7 is the preceding digit only when 9 is the succeeding digit?
In how many different ways can six players be arranged in a line such that two of them, Ajit and Mukherjee, are never together?
50 men or 80 women can finish a job in 50 days. A contractor deploys 40 men and 48 women for this work, but after every duration of 10 days, 5 men and 8 women are removed till the work is completed. The work is completed in