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Quantitative Aptitude Model Questions for Competitive Bank Exams

Quantitative Aptitude Model Questions

MODEL QUESTIONS

1.    The length of a rectangle is three-fifth the side of a square. The ra­d­i­­­us of a circle is equal to side of the square. The circumference of th­e circle is 132 cm. What is the area of the rectangle if the breadth of the rectangle is 8 cm.?
    a) 112.4 sq.cm.    b) 104.2 sq.cm.
    c) 100.8 sq.cm    d) 114.0 sq.cm.
    e) None of these
2.    Five- ninth of a number is equal to twenty five percent of second number. Second number is equal to one-fourth of third number. Th­e value of third number is 2960. What is 30 percent of first number?
    a) 88.8    b) 99.9    c) 66.6
    d) 77.7    e) None of these
3.    The respective ratio between pre­sent age of Manoj and Wasim is 3:11. Wasim is 12 years younger than Rehana. Rehana's age after 7 years will be 85 years. What is the present age of Manoj's father who is 25 years older than Manoj?
    a) 43 years    b) 67 years
    c) 45 years    d) 69 years
    e) None of these.
4.    Dinesh's monthly income is four times Suresh's monthly income. Suresh's monthly income is twe­n­ty percent more than Jyothi's monthly income. Jyothi's mont­hly income is Rs.22,000/. What is Dinesh's monthly income?
    a) Rs. 1,06,500/-
    b) Rs. 1,05,600/-
    c) Rs. 1,04,500/-
    d) Rs. 1,05,400/-
    e) None of these
5.    Smallest side of a right angled triangle is 8 cm less than the side of a square of perimeter 56 cm. Second largest side of the right angled triangle is 4 cm less than the length of rectangle of area 96 sq.cm. and breadth 8 cm. What is the largest side of the right ang­led triangle?
    a) 20cm    b) 12cm    c) 10cm
    d) 15cm    e) None of these
6.    The ratio between the adjacent angles of a parallelogram is 7:8 respectively. Also the ratio bet­ween the angles of quadrilateral is 5:6:7:12. What is the sum of the smaller angle of parallel­ogram and second largest angle of the quadrilateral?
    a) 168º    b) 228º    c) 156º
    d) 224º    e) None of these
7.    Raju runs 1250 meters on Mond­ay and Friday. Other days he runs 1500 meters except Sunday(He does not run on Sunday). How many kilometers will he run in 3 weeks (first day starting from Monday)?
    a) 12.5kms    b) 20.5 kms
    c) 8.5 kms    d) 25.5 kms
    e) None of these

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8.    The sum of nine consecutive odd numbers of set-A is 621. What is the sum of different set of six consecutive even numbers whose lowest number is 15 more than the lowest number of set-A?
    a) 498    b) 468    c) 478
    d) 488    e) None of these
9.    In a school there are 250 students out of whom 12 percent are girls. Each girl's monthly fee is Rs. 450/- and each boy's monthly fee is 24 percent more than a girl. What is the total monthly fee of a girl and boys together?
    a) Rs. 1,36,620/-
    b) Rs. 1,36,260/-
    c) Rs. 1,32,660/-
    d) Rs. 1,32,460/-
    e) None of these
10. The average speed of a train is 10/7 times the average speed of a car. The car covers a distance of 588 kms in 6 hours. How much distance will the train cover in 13 hours?
    a) 1750kms    b) 1760kms
    c) 1720kms    d) 1820kms
    e) None of these
11. What would be the cost of lay­ing a carpet on a floor which has, its length and breadth in the respective ratio of 32:21 and where its perimeter is 212 feet, if the cost per square foot of laying the carpet is Rs. 2.5?
    a) Rs. 6,720/-    b) Rs.5,420/-
    c) Rs. 7,390/-    d) Rs. 7,890/-
    e) None of these.
12. The simple interest accrued on a amount at the end of five years at 12.5 p.c.p.a is Rs. 1,575/-, what is the amount?
    a) Rs. 2,050/-    b) Rs. 2,550/-
    c) Rs. 2,250/-    d) Rs.2,520/-
    e) None of these
13. A 260 meters long train crosses a platform thrice its length in 80 seconds. What is the speed of the train in Kms/hour?
    a) 52.4    b) 46.8    c) 35.1
    d) 64.1    e) None of these
14. If the cost of 8 erasers and 5 sharpeners is Rs.31/-, what will be the cost of 24 erasers and 10 sharpeners?
    a) Rs.62/-    b) Rs.84/-
    c) Rs.78/-    d) Rs.80/-
    e) Cannot be determined

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15. In how many different ways can the letters of the word 'PRETTY' be arranged?
    a) 120    b) 36    c) 360
    d) 720    e) None of these
16. A boat while travelling upstream covers a distance of 18 kms. at the speed of 3 Kms/hr. whereas while travelling downstream it covers the same distance at the speed of 9 kms/hr. what is he speed of the boat in still waters?
    a) 3 kms/hr    b) 5 kms/hr
    c) 7kms/hr    d) 8 kms/hr
    e) None of these
17. What is the area of a circle wh­ose circumference is 132cms.?
    a) 1562 sq.cms. b) 1386 sq.cms.
    c) 1434 sq.cms. d) 1643 sq.cms.
    e) None of these
18. Shreya's bought an article and sold it for 125% percent of its cost price. What was the cost price of the article, if Shreyas sold it for Rs.30,750/-?
    a) Rs.24,600/-    b) Rs.24,640/-
    c) Rs.24,250/-    d) 23,200/-
    e) None of these
19. The ages of Mira Tina and Sania are in the ratio of 6:4:7 respect­ively. If the sum of their ages is 34 years, what is Sania's age?
    a) 12 years    b) 10 years
    c) 18 years    d) 20 years
    e) None of these
20. A basket contains three red and four green balls. If four balls are drawn at random from the bas­ket, what is the probability that two are red and two are green?
    a) 4/7    b) 2/7    c) 18/35
    d) 3/14    e) None of these
Direction (Q. 21-25): Each of the questions given below consists of a question and two statements num­bered I and II given below. You have to decide whether the data provided in the statements is sufficient to ans­wer the question Read both the stat­ements and 
Give answer (a): If the data in the statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
Give answer (b): If the data in the statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question
Give answer (c): If the data statement I alone or in statement II alone is sufficient to answer the question.
Give answer (d): if the data in both the statements I and II is not sufficient to answer the question.
Give answer (e): If the data in both statements I and II together is necessary to answer the question.

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21. What is the product of X and Y?
    I) Y=X–28    II) –42 –12=X
22. What is the rate of interest % p.(a).?
    I) An amount double itself in five years at simple interest.
    II) Simple interest of Rs.1,600/- is obtained in two years on an amount of Rs.4,000/-
23. In how many hours an A alone complete the piece of work?
    I) B alone can complete the piece of work in 28 hours.
    II) A,B and C together can com­p­lete the piece of work in 18 hours.
24. What will Anjali's age be five years from now?
    I) Anjali's present age is twice Tosha's present age.
    II) Tosha who is half Anjali's pre­s­ent age, was 21 years old fi­ve years ago.
25. What is the perimeter of the square?
    I) The measure of one of its side is 10 cms.
    II) The measure of its diagonal is 10 cms.
Direction (Q. 26-30): Study the following table carefully to answer the questions that follow:
Percentage of marks obtained by five students in three subjects

Subject (Max. Marks)     Maths (150) Science (100) English (50)
Student           
Miloni     94     83 74
Satish     72     88     68
Rachana     86     75     66
Purab     90     61 82
Mansi     68     67     72

26. What are the total marks obta­ined by Satish in all the subjects together?
    a) 230    b) 232    c) 228
    d) 226    e) None
27. What are the average marks obt­a­ined by all the students in Maths?
    a) 137    b) 123    c) 127
    d) 132    e) None
28. What is Miloni's overall perce­ntage in the exam?
    a) 75    b) 79    c) 87
    d) 85    e) None
29. What is the respective ratio of marks obtained by Purab in Scie­nce and English together to the marks obtained by Rachana in the same subjects?
    a) 17:18    b) 11:13    c) 15:19    d) 21:23    e) None
30. How many students have high­est scored more than one subject?
    a) None    b) One    c) Three
    d) Two    e) Four

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(Q.31-35): Study the table car­e­fully to answer the questions that follow-

Product of People Total no.        Percentage of People  
    Men             Women  Children
A 46280 35 25 40
B 45540 25 35 40
C 32240 25 55 20
D 60430 20 50 30
E 36230 10 20 70
F 53990 40 40 20

31. What is the total number of children selecting Product E?
    a) 27172    b) 25361    c) 23413    d) 21781    e) None
32. What is the average number of women selecting all the Products together?
    a) 20859    b) 18765    c) 19076    d) 17383    e) None
33. What is the respective ratio of total number of women selecting Product A to those selecting Product D?
    a) 1:3    b) 42:51
    c) 2314:6043    d) 413:678
    e) None
34. Number of children selecting Pro­duct C forms what percent of those selecting Product B? (roun­ded of to two digits after deci­mal)
    a) 35.40    b) 287.10    c) 59.71    d) 185.40    e) None
35. Total number of men selecting Product F forms approximately what percent of the total number of people selecting all the Products together?
    a) 19   b)14   c) 3    d) 23  e) 8

KEY
    1) c    2) b    3) a    4) b    5) c
    6) a    7) d    8) e    9) b    10) d
    11) a    12) d    13) b    14) e    15) c
    16) e    17) b    18) a    19) e    20) c
    21) e    22) c    23) d    24) b    25) c
    26) a    27) b    28) c    29) a    30) a
    31) b    32) d    33) c    34) a    35) e

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