CurrentGK Papers RAS General Studies Model Test Paper For RAS Exam 2010

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General Studies Model Test Paper For RAS Exam 2010

General Studies Model test paper For RAS Exam 2010

1. A sum of money,` at simple
interest is doubled in 20 years.
How many years will it take to
treble ?
(A) 30 years (B) 38 years
(C) 41 years (D) 40 years

2. The smallest 4 digit number
exactly divisible by 7 is-
(A) 1101 (B) 1108
(C) 1001 (D) 1007

3. Find the missing number replacing the question-mark (7) in the
following series-
4, 8, 9, 27, 16, 64, 7, 125
(A) 100 (B) 25
(C) 35 (D) 32

4. A sum of money put at com-
pound interest amounts in 2
years to Rs. 672 and in 3 years to
Rs. 714. The rate of interest per
annum is-
(A) 6~25% (B) 6-75%
(C) 6•0% (D) 5•5%

5. A 50 metres long train passes
over a bridge at the speed of 30
kms per hour. If it takes 36
seconds to cross the bridge, what
is the length of the bridge
(A) 200 metres
(B) 250 metres
(C) 300 metres
(D) 350 metres

6. Two sides of a rectangle are
measured. One of the sides
(length) was measured 10% more
than its actual length and the
other side (width) was measured
5% less than its actual length.
The % error in measure obtained
for the area of the rectangle is-

(A) 15% (B) 7-56%
(C) 4-5% (D) 5%

7. Introducing a girl, Vipin said,
“Her mother is the only daughter
of my mother in-law.” How is
Vipin related to the girl ?
(A) Uncle (B) Father
(C) Husband (D) Brother

8. A can complete a certain work in
4 minutes, B in 5 minutes; C in 6
minutes; D in 10 minutes; and E
in 12 minutes. The average number of units of work completed
by them per minute will be-
(A) 0-16
(B) 0-40
(C) 0-80
(D) None of these

9. In an examination, 42% candidates failed in Mathematics and
52% failed in English, 17% failed
in both the subjects. If 46 candidates passed in both subjects, the
total number of candidates is-
(A) 100 (B) 200
(C) 300 (D) 350

10. Akash ranks 7th from the top
and 28th from the bottom in a
class. How many students are
there in that class 7
(A) 34 (B) 35
(C) 36 (D) 37

11. Find a number such that the
difference between nine times
the number and 4 times the number is 65-
(A) 10 (B) 13
(C) 11 (D) 12

12. In what proportion must a grocer
mix tea priced respectively at Rs.
320 per kg and Rs. 560 per kg to
make a mixture worth Rs. 480
per kg ?
(A) 0-33 (B) 0-66
(C) 0•75 (D) 0-50

13. When 24 is added to 40% of a
number, the result is the number
itself. The number is-
(A) 64 (B) 40
(C) 24 (D) 16

14. If ’PRINT’ is coded as ‘RUMSZ’
then the code for ’DRINK will

15, A train travelling with constant
speed crosses 90 metre long plat•
form in 12 second and 120 metre
long platform in 15 second, The
length of the train and its speed
(A) 30 metre, 36 km/hr
(B) 45 metre, 36 km/hr
(C) 45 metre, 54 krn / hr
(D) 60 metre, 54 km / hr

16. The following five three—digit
number are given as—
234, 452, 346, 762, 893
lf the positions of the first and
the second digits in each of the
above numbers are interchanged,
which of the following will be
the difference between the
middle digits of the highest and
the lowest of the five numbers ?
(A) 3 (B) 5
(C) 6 (D) 7

17. A fruit seller professes to sell his
fruits at cost price, but still gains
25% on his outlay. What weight
does he substitute for a kilo-
gram ?
(A) 800 gm (B) 850 gm
(C) 890gm (D) 900 gm

18. lf 2028 is the product of two
natural numbers having two
digits each and 13 is their highest
common factor, then the numbers are-
(A) 26, 78 (B) 13, 156
(C) 36, 68 (D) 39, 52

19. Find the wrong number in the
3, 8, 15, 24, 34, 48, 63
(A) 15 (B) 24
(C) 34 (D) 48

20. In a certain code MAIN is written
as IMNA and REAL is written as
ARLE. How is LION written in
that code 7
21. There are 4 poles in a row A, B, C
and D. A is longer than C, B is
smaller than D and C is longer
than D, Which is the smallest
pole ?
(A) B (B) A
(C) D (D) C

22. Find out that number whose
square and square root are both
even numbers but the square
does not exceed 3 digits-
(A) 8 (B) 16
(C) 36 (D) 64

23. Radha is younger to Sunita but
elder to Rita. Rita is elder to
Geeta. Shyam is elder to Rita but
younger to Radha. Who is the
youngest ?
(A) Geeta (B) Rita
(C) Sunita (D) Shyam

24. The missing numbers and letters
D 4W-G-T20I—R18-10
Q — are respectively given by one
ofthe alternatives :
Alternatives :
(A) 26, 8, 9, P, 18
(B) 22, 7, 9, K, 17
(C) 23, 7, 9, ], 17
(D) 20, 6, 5, P, 18

25. A solid cube just gets completely
immersed in water when a 0•2 kg
mass is placed on it. If the mass
is removed, the cube is 2 cm
above the water level. What is
the length of each side of the
cube ?
(A) 12 cm • (B) 10 cm
(C) 8 cm (D) 6 cm

26. Four years ago, the average age
of a family of four persons was
18 years. During this period, a
baby was born. Today if the
average age of the family is still
18 years, the age of the baby is-
(A) 3•0 years (B) 2•5 years
(C) 2•O years (D) 1~2 years

27. Five digit numbers are formed
using the digits 1, 2, 3, 4 and 5
(no digit repeated). The number
of numbers divisible by 4 will
(A) 24 (B) 20
(C) 16 (D) 12

28. If A’s income is 10% more than
B’s. How much percentage is B”s
income less than A’s ?
(A) 10% (B) 9 1/2%
(C) 9 1/11 %
(D) 9%

29. The mean of 5 observations is 60,
the mean of 10 observations is 30,
and the mean of 15 observations
is 20, the mean of all the 30
observations is-
(A) 40 (B) 30
(C) 25 (D) 20

30. We wish to present the data
through graph or diagram, related to number of unemployed
persons according to specified
age group and sex. The best way
of representation will be by a-
(A) Line diagram
(B) Pie chart
(C) Multiple bar chart
(D) Divide bar chart

31. The graphs and diagrams-
(A) Can represent unlimited
(B) Give a quick picture of the
(C) Show exact value
(D) Take less time to prepare

32. lf the average of five numbers is
10, the number, which should be
added to make the average 12
(A) 12 (B) 18
(C) 22 (D) 24

33. In an area, of the total people
40% were women and 45% coffee
drinkers. One-third of the males
are coffee drinkers. Suppose the
total number of persons in the
area is 100, then the number of
female non-coffee drinkers is-
(A) 15
(B) 20
(C) 25
(D) None of the above

34. The probability of getting a sum
of 10 in the throw of two dice
(B) 1/5
(C) 1/12
(D) 1/7

35. An aeroplane files from place A
to place B at the speed of 500
km/hour. On the return journey,
its speed is 700 km per hour. The
average speed of the aeroplane
for the entire journey is-
(A) 566%- km/hour
(B) 583% km/ham
(C) 600 km/ hour
(D) 583% km/hour

36. Pie chart is drawn for the following data
Source of Revenue Revenue (million Rs.)
Custom 80
Excise 190
Income Tax 160
Corporate tax 75
Misc. 35
The approximate difference bet-
ween the angles of the biggest
and the smallest segments is-
(A) 101° (B) 104°
(C) 107° (D) 127°•

37. A Histogram is drawn for a
frequency distribution where the
class interval is unequal. The
length of the rectangles will be
proportional to-
(A) Frequencies of the classes
(B) Frequency density of the
(C) Class interval of the class
(D) None of these

38. The Arithmetic Mean of first
eleven natural numbers is-
(A) 5-0 (B) 5-5
(C) 6-0 (D) 6-5

39. In a certain factory there are five
workers A, B, C, D and E. A can
complete a work in 4 minutes, B
in 5 minutes, C in 6 minutes, D in
10 minutes and E in 12 minutes.
The average number of units of
work completed per worker per
minute will be—
(A) 0-1625 (B) 0-16
(C) 0-18 (D) 0•20

40. The median of 3, X, 10 and 4 is 5.
The value of X will be-
(A) 6
(B) 7
(C) 8
(D) None of these

41. With the help of histogram, one
can draw-
(A) Frequency polygon
(B) Frequency curve
(C) None of (A) or (B)
(D) Both (A) and (B)

42. A histogram can be drawn for
the distribution with unequal
classes by considering bar height
proportional to-

(A) Frequencies of the classes
(B) Class intervals
(C) Frequency densities
(D) None of the above

43. The average marks of eleven
students is 31-0 and that of the
first six students is 31-5 while
that of the last six students is
30-5. The mark of the sixth
student is-
(A) 30-5 (B) 31-5
(C) 31-0 (D) 30-0

44. For a moderately skewed distribution, the true relationship is-
(A) Mode — Mean = 3
(Mean — Median)
(B) Mean — Mode = 3
(Mean — Median)
(C) Median – Mean : 3
(Mode – Mean)
(D) None of the above

45. lf two observations are 10 and – 10, then their HM is—
(A) 0 •
(B) 10
(C) ¤¤ (infinite)
(D) None of the above

46. The area of a frequency polygon
is equal to-
(A) The area of the histogram
(B) The area between the cumulative frequency polygon (more
than) and the axis of X
(C) The area bounded by the
cumulative frequency polygon
(less than) axis of X and ordinate
corresponding to the upper limit
of the last class
(D) All of these

47. A fair coin is tossed a number of
times. If head appears on all the
five tosses, what is the probability that a tail appears on the
sixth toss ?
A. (1/2)6
B. 2/5
C. ½
D. 1/4

48. The range and quartile deviation
of the following observations 1
29, 20, 30, 25, 39, 35, 48, 41, 60, 51,
70 are-
(A) 50, 11 (B) 41, 22
(C) 50, 22 (D) 41, 11

49. Consider the following diagram :
Given further that the total value
in all the sectors is Rs. 128•3 lac,
then the present amount for D
(A) 1•5% (B) 0•05%
(C) 0-5% (D) 50%

50, The Arithmetic Mean of 15
numbers is 41-4. Then the sum of
these numbers is-
(A) 414 (B) 420
(C) 621 (D) 620

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