Mental Ability PYQs
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Prelims 1996 – 1995 · page 11 of 11Tap an option to check it. For one question at a time, use Start practice above.
The average of X1, X2 and X3 is 14. Twice the sum of X2 and X3 is 30. What is the value of X1?
A rectangle has a perimeter of 50 metres. If its length is 13 metres more than its breadth, then its area is
Two packs of cards are thoroughly mixed and shuffled and two cards are drawn at random, one after the other. What is the probability that both of them are Jacks?
A man starts walking in the north-easterly direction from a particular point. After walking a distance of 500 metres, he turns southward and walks a distance of 400 metres. At the end of this walk he is situated
Examine the following statements:
I.All children are inquisitive.II.Some children are inquisitive.III.No children are inquisitive.IV.Some children are not inquisitive.Among these statements, the two statements which cannot both be true simultaneously but can both be false would be
Consider the series given below:
4/12/95, 1/1/96, 29/1/96, 26/2/96...
The next term of the series is
In track meets both 100 yards and 100 metres are used as distances. By how many metres is 100 metres longer than 100 yards?
Examine the following statements:
I watch TV only if I am bored. I am never bored when I have my brother’s company. Whenever I go to the theatre, I take my brother along.
Which one of the following conclusions is valid in the context of the above statements?
Seven men, A, B, C, D, E, F and G are standing in a queue in that order. Each one is wearing a cap of a different colour like violet, indigo, blue, green, yellow, orange and red. D is able to see in front of him green and blue but not violet. E can see violet and yellow, but not red. G can see caps of all colours other than orange. If E is wearing an indigo-coloured cap, then the colour of the cap worn by F is
A person travelled from one place to another at an average speed of 40 kilometres/hour and back to the original place at an average speed of 50 kilometres/hour. What is his average speed in kilometres/hour during the entire roundtrip?
The value of (a – m)(b – m) … (y – m)(z – m) is
A rectangular sump of dimensions 6 m × 5 m × 4 m is to be built by using bricks to make the outer dimension 6.2 m × 5.2 m × 4.2 m. Approximately how many bricks of size 20 cm × 10 cm × 5 cm are required to build the sump for storing water?
A thief running at 8 km/hr is chased by a policeman whose speed is 10 km/hr. If the thief is 100 metres ahead of the policeman, then the time required for the policeman to catch the thief will be
A student has 60% chance of passing in English and 54% chance of passing in both English and Mathematics. What is the percentage probability that he will fail in Mathematics?
In the Cartesian plane four points P, Q, R, S have coordinates (1, 1), (4, 2), (4, 4) and (1, 4).
The area of the quadrilateral PQRS is
Out of a total of 120 musicians in a club, 5 % can play all the three instruments—guitar, violin and flute. It so happens that the number of musicians who can play any two and only two of the above instruments is 30. The number of musicians who can play the guitar alone is 40.
What is the total number of those who can play violin alone or flute alone?
Which of the following can be inferred from the statement that “Either John is stupid or John is lazy”?
I.John is lazy / therefore, John is not stupid.II.John is not lazy / therefore, John is stupid.III.John is not stupid / therefore, John is lazy.IV.John is stupid / therefore, John is not lazy.Choose the correct answer from the codes given below:
A person earns Rs 2000 per month over and above his salary as additional charge allowance. However, 30 % of this additional income will be deducted as additional income tax at source. If the person would deposit Rs 1000 per month in a long-term saving fetching 12 % interest, his tax liability on the additional allowance would reduce to 10 %. What is the effective interest for this person for money invested in the long-term savings scheme?