Mental Ability PYQs

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1. Prelims 1998Q2Reasoning & Data Interpretation

   Examine the following three statements:

   I.Processed meat is a perishable food.

   II.All perishable foods are packed in sealed tins.

   III.Sealed tins sometimes do not contain processed meat.

   Which one of the following inferences can be drawn from the above statements?

   aSealed tins always contain perishable foodbProcessed meat is sometimes not packed in sealed tinscProcessed meat is always packed in sealed tinsdNon-perishable foods are never packed in sealed tins
2. Prelims 1998Q133Quantitative Aptitude

   LMNOP is a semi-circle with centre at R and diameter LP; LSR and RQP are also semi-circles with centres at T and U and diameters LR = RP = 1⁄2 LP. The ratio of perimeters of LMNOP and LSRQP is

   a0.75 : 1b1 : 1c1 : 0.75d1.25 : 1
3. Prelims 1998Q134Quantitative Aptitude

   A man purchases two clocks A and B at a total cost of Rs 650. He sells A with 20% profit and B at a loss of 25% and gets the same selling price for both the clocks. What are the purchasing prices of A and B respectively?

   aRs 225; Rs 425bRs 250; Rs 400cRs 275; Rs 375dRs 300; Rs 350
4. Prelims 1998Q135Quantitative Aptitude

   If 15 pumps of equal capacity can fill a tank in 7 days, then how many extra pumps will be required to fill the tank in 5 days?

   a6b7c14d21
5. Prelims 1998Q136Quantitative Aptitude

   Out of the three annual examinations, each with a total of 500 marks, a student secured average marks of 45 % and 55 % in the first and second annual examinations. To have an overall average of 60 %, how many marks does the student need to secure in the third annual examination?

   a450b400c350d300
6. Prelims 1998Q137Reasoning & Data Interpretation

   Which one of the following satisfies the relationship D d a : a D D :: R r b : ?

   aD D AbR R Rcb R RdB B r
7. Prelims 1998Q138Quantitative Aptitude

   A square pond has 2 m sides and is 1 m deep. If it is to be enlarged, the depth remaining the same, into a circular pond with the diagonal of the square as diameter as shown in the figure, then what would be the volume of earth to be removed?

   a(2π − 4) m³b(4π − 4) m³c(4π − 2) m³d(2π − 2) m³
8. Prelims 1998Q139Quantitative Aptitude

   One local and another express train were proceeding in the same direction on parallel tracks at 29 km/hour and 65 km/hour respectively. The driver of the former noticed that it took exactly 16 seconds for the faster train to pass by him. What is the length of the faster train?

   a60 mb120 mc160 md240 m
9. Prelims 1998Q140Reasoning & Data Interpretation

   A, B, C, D, E and F, not necessarily in that order, are sitting on six chairs regularly placed around a round table. It is observed that A is between D and F, C is opposite D, and D and E are not on neighbouring chairs.

   Which one of the following pairs must be sitting on neighbouring chairs?

   aA and BbC and EcB and FdA and C
10. Prelims 1998Q141Reasoning & Data Interpretation

    If in a certain code SAND is VDQG and BIRD is ELUG, then what is the code for LOVE?

    aPRYGbORTGcNPUHdORYH
11. Prelims 1998Q142Quantitative Aptitude

    In a family, a couple has a son and a daughter. The age of the father is three times that of his daughter and the age of the son is half of his mother. The wife is nine years younger to her husband and the brother is seven years older than his sister. What is the age of the mother?

    a40 yearsb45 yearsc50 yearsd60 years
12. Prelims 1998Q143Reasoning & Data Interpretation

    The missing fraction in the series given below is:

    4/9, 9/20, …, 39/86

    a17/40b19/42c20/45d29/5
13. Prelims 1998Q144Quantitative Aptitude

    There are 50 students admitted to a nursery class. Some students can speak only English and some can speak only Hindi. Ten students can speak both English and Hindi. If the number of students who can speak English is 21, then how many students can speak Hindi, how many can speak only Hindi and how many can speak only English?

    a21, 11 and 29 respectivelyb28, 18 and 22 respectivelyc37, 27 and 13 respectivelyd39, 29 and 11 respectively
14. Prelims 1998Q145Quantitative Aptitude

    An accurate clock shows the time as 3 : 00. After the hour hand has moved 135°, the time would be

    a7 : 30b6 : 30c8 : 00d9 : 30
15. Prelims 1998Q148Reasoning & Data Interpretation

    Examine the following statements:

    I.All members of Mohan’s family are honest.

    II.Some members of Mohan’s family are not employed.

    III.Some employed persons are not honest.

    IV.Some honest persons are not employed.

    Which of the following inferences can be drawn from the above statements?

    aAll members of Mohan’s family are employedbThe employed members of Mohan’s family are honestcThe honest members of Mohan’s family are not employeddThe employed members of Mohan’s family are not honest
16. Prelims 1998Q150Reasoning & Data Interpretation

    A, B, C, D, E, F and G are members of a family consisting of 4 adults and 3 children, two of whom, F and G, are girls. A and D are brothers and A is a doctor. E is an engineer married to one of the brothers and has two children. B is married to D and G is their child. Who is C?

    aG’s brotherbF’s fathercE’s daughterdA’s son
17. Prelims 1997Q131Quantitative Aptitude

    The average monthly income of a person in a certain family of 5 is Rs. 1000. What will be the monthly average income of a person in the same family if the income of one person increased by Rs. 12,000 per year?

    aRs. 1200bRs. 1600cRs. 2000dRs. 3400
18. Prelims 1997Q133Reasoning & Data Interpretation

    In the series POQ, SRT, VUW, ?, the blank space refers to

    aXYZbXZYcYXZdYZX
19. Prelims 1997Q136Quantitative Aptitude

    P is 300 km eastward of O and Q is 400 km north of O. R is exactly in the middle of Q and P. The distance between Q and R is

    a250 kmb300 kmc350 kmd250√2 km
20. Prelims 1997Q137Quantitative Aptitude

    When three coins are tossed together the probability that all coins have the same face up is

    a1/3b1/6c1/8dNone of these