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WorksheetsMock Test Paper - Quantitative Aptitude
Total questions: 98
Worksheet time: 49mins
P, Q and R three cities. The ratio of average temperature between P and Q is 11: 12 and that between P and R is 9:8. The ratio between the average temperature Q and R
22 : 27
27 : 22
32 : 33
none of these
The third proportional between (a^2-b^2) and (a+b)^2 is :
ab/(ab+)
ab/(ab-)+
(2ab)/(ab-)+
(3+ab)/(ab)
If 8th term of an AP is 15, the Sum of the 15 its term is
15
0
225
225/2
For what values of x, the number 2, 7, x, 7, 2 are in G.P.?
+ 1
+ 3
+ 2
none of these
For what value of x; the sequence x+1, 3x, 4x+2 are in AP?
3
2
4
5
If a^(1/x) = b^(1/y) = c^(1/z) and a,b,c are in GP then x, y, z are in
AP
GP
HP
AGP
The derivative of e^x logx
(1 log x e^x +)
(1 log x e^x +)
(1 log x +)
If y = 1/(1-x^2) then (1-x^2) dy/dx =
y
-x
-y
0
Find the gradient of the curve y = 3x^2 - 6x + 4 at the point (1, 2)
1
-1
0
2
The equation of the curve in the form y = f(x) if the curve passes through the point (1, 0) and Find f’(x) = 2x-1 is
y = x^2 - x
x = y^2 - y
y = x^2
none of these
∫ dx/(x log x) =?
log|x| + c
log |log x| + c
(log x)^2 + c
none of these
2∫ dx/(x^2 + 1) is equal to
log e(5/2)
log e 5 – log e 2 + k
log e(2/5)
none of these
Find f o g for the functions f (x) = x^8, g(x) = 2x^2 + 1
x^8(2x^2 + 1)
x^8
2x^2 + 1
(2x^2 + 1)^8
The number of proper subsets of the set {3, 4, 5, 6, 7} is
32
31
30
25
On the sets of lines in a plane the Relation “is perpendicular to” is
Reflexive
Symmetric
Transitive
none of these
In how many ways 3 prizes out of 5 can be distributed amongst 3 brothers equally
10
45
60
120
There 12 questions to be answered to be Yes or No. How Many ways this can be answered -
1021
2048
4096
None of the above
15C3r = 15 C(r+3), then r is equal to
2
3
4
5
A polygon has 44 diagonals then the number of sides are
6
7
8
11
The number of ways of painting the six faces of a cube with six different given colours is
1
720
30
15
How many Six-digit telephone numbers can be formed by using 10 distinct digits
10^8
6^10
10C9
10P6
nC1 + nC2 + nC3 +.............=
2^n - 1
2^n
2^n + 1
none of these
The value of log(0.1/0.001) =
3
2
4
1/3
if log4(x) = -3/2. Then x is
1/8
1/4
1/2
1/3
A number consists of two digits. The digits in tens place is 3 times the digit in the unit’s place. If 54 is subtracted from the digits are reversed. The number is
39
92
93
94
The equation x^2-(P+4)x + 2P+5 = 0 has equal roots. The value of p is
2
-2
± 2
3
In the above table corresponding values of two variable x and y have been given. Which of the following equations establishes the relationship between the two variables?
y = 3x+2
y = 2x–1
y = 2x+1
y = 3x+1
A manufacturer produces two items A and B. He has `10,000 to invest and a space to store 100 items. A table costs him `400 and a chair `100. Express this in the form of linear inequalities.
x + y < 100, 4x + y < 100, x > 0, y > 0
x + y < 1000, 2x + 5y < 1000, x > 0, y > 0
x + y > 100, 4x + y > 100, x > 0, y > 0
none of these
The difference between compound and simple interest at 5% per annum for 4 years on Rs. 20,000 is -
250
277
300
310
In how many years will a sum of money double at 5% p.a compounded interest?
15 years 3 months
14 years 2 months
14 years 3 months
15 years 3 months
A machine worth Rs. 4,90,740 is depreciated at 15% of its opening value each year. When would its value reduce by 90%?
11 years 6 months
11 years 7 months
11 years 8 months
14 years 2 months approximately
Assuming, that discount rate is 7% per annum, how much would you pay to receive Rs.50, growing at 5%, annually, forever.
2500
3000
3500
4000
How much provision need to be made out of profits each year provided sinking fund investments can earn at 4 % per annum
12,006
12,040
12039
12035
Nominal Rate of Return =
Real Rate of Return – Inflation
Real Rate of Return + Inflation
Real Rate of Return / Inflation
Real Rate of Return × Inflation
Net Present value≥ 0, then
Accept the Proposal
Reject the proposal
Not Feasible
None of the above
A sum of Money doubles itself at compound interest in 10 years. In how many years will it become eight times
10
30
40
35
The time in which a sum of money will be doubled at 6% compound interest compounded interest compounded annually approximately.
10 years
12 years
13 years
14 years
18, 24, 21, 27, ?, 30, 27
33
30
24
21
5, 7, 11, ?, 35, 67
23
28
30
19
If GARDEN is coded as 325764 and WATER as 92165, how can we code the word WARDEN in the same way?
925764
295764
952764
957264
If F = 6, MAT=34, then how much is CAR?
21
22
25
28
Find next term of the series, 4, 9, 16, 25, 36, 49, ?
1
9
20
64
Find odd man out of the series 16, 25, 36, 72, 144, 196, 225
36
72
196
225
Raju starts from point A and walks 1 km towards south, turns left and walks 1 km. Then he turns left again and walks 1 km. now he is facing?
East
West
North
South-West
Roopa starts from a point and walks 15 metre towards west, turns left and walks 12 metre, turns right again and walks. What is the direction she is now facing?
South
West
East
North
A car travelling from south to north covers a distance of 8 kms, then turns right and runs another 9 kms and again turns to the right and was stopped. Which direction does it face now?
South
North
West
East
There are five houses P, Q, R, S and T. P is right of Q and T is left of R and right of P. Q is right of S. Which house is in the middle?
P
Q
T
R
Six friends A, B, C, D, E and F are sitting in a row facing towards North, C is sitting between A and E, D is not at the end, B is sitting at immediate right of E, F is not at the right end, but D is sitting at 3rd left of E. Which of the following is sitting to the left of D?
A
F
E
C
Six girls are standing in such a way that they form a circle, facing the centre. Subbu is to the left of Pappu, Revathi is between Subbu and Nisha, Aruna is between Pappu and Keerthna. Who is to the right of Nisha?
Ravathi
Aruna
Subbu
Keerthana
A is B’s brother. C is D’S father. E is B’s mother. A and D are brothers. How is E related to C?
Sister
Sister-in- law
Niece
Wife
A is B’s brother, C is A’s mother, D is C’s father, E is B’s son, How is B related to D?
Son
Granddaughter
Grandfather
Great Grandfather
A is the mother of D and sister of B. B has a daughter C who is married to F. G is the husband of A. How is G related to D?
Uncle
Husband
Son
Father
P and Q are brothers. R and S are sister. P’s son is S’s brother. How is Q related to R?
Uncle
Brother
Father
Grandfather
Pointing out to a photograph, a man tells his friend, “She is the daughter of the only son of my father’s wife.” How is the girl in the photograph related to the man?
Daughter
Mother
Cousin
Sister
A party consists of grandmother, father, mother, four sons and their wives and one son and two daughters to each of the sons. How many females are there is all?
13
16
18
24
Shyam goes 5 km in the North from his school. Now, turning to the left, he goes to 10 km and again turns to left and goes to 5 km. How far he is from his school and in which direction?
10 km, South from school
10 km, North from school
10 km, West from school
10 km, East from school
Rasik walked 20 m towards north. Then he turned right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 15 m. Finally, he turns left and walks 15 m. In which direction and how many metres is he from the starting position?
15 m West
30 m East
30 m West
45 m East
The ______ is satisfied when P ab × P bc × P ca = 1
Time reversal test
Factor reversal test
Circular Test
none of these
The index number of prices at a place in 2008 is 355 with 2003 as base. This means -
There has been on the average a 255% increase in prices.
There has been on the average a 355% increase in price.
There has been on the average a 250% increase in price.
None of these.
The number of tests of Adequacy
2
3
4
5
If two events A and B are independent, the probability that both will occur is given by
P(A) x P(B)
P (A) + P (B)
P(A) + P(B) – P(AUB)
P(A) + P(B) – P(A∩B)
If p: q is the odds in favor of an event, then the probability of that event is -
p/q
qp/q +
qp/p +
none of these
If P (A) = 4/9; then the odd against the event ‘A’ is
4:9
4:5
5:4
4:14
If P (A) = 4/9; then the odd against the event ‘A’ is
4:9
4:5
5:4
4:14
If two letters are taken at random from the word HOME, what is the Probability that none of the letters would be vowels?
1/6
1/2
1/3
¼
Equations of two lines of regression are 4x+3y+7 = 0 and 3x+ 4y + 8 = 0, the mean of x and y are
5/7 and 6/7
– 4/7 and –11/7
2 and 4
None of these
Correlation Co-efficient is _______ of the units of measurements
Independent
Dependent
Both
none of these
If for two variable x and y, the covariance, variance of x and variance of y are 40, 16 and 256 respectively, what is the value of the correlation coefficient?
0.01
0.625
0.4
0.5
Statistics is concerned with
Qualitative information
Quantitative information
(a) or (b)
Both (a) and (b).
The standard deviation of 25, 32, 43, 53, 62, 59, 48, 31, 24, 33 is
13.23
12.33
11.33
none of these
The quartile deviation of a normal distribution with mean 10 and standard deviation 4 is
0.675.
67.50.
2.70
3.20.
If the range of x is 2, what would be the range of – 3x + 50?
2
6
-6
44
If the quartile deviation of a normal curve is 4.05, then its mean deviation is
5.26
6.24
4.24
4.80
The mean of first 3 terms is 14 and the mean of next 2 terms is 18. The mean of 5 numbers is -
14.5
15
14
15.6
The Standard deviation is independent of change of
Origin
Scale
Both
none
If two variables are uncorrelated then regression lines are
Parallel
Perpendicular
Coincident
Inclined at 45
When ‘p’ = 0.5, the
Asymmetrical.
Symmetrical.
Both of above.
None of above
In a normal distribution skewness is ___
0
>3
<3
<1
If mean and standard deviation of a binomial distribution is 10 and 2 respectively; q will be ___
1
0.8
0.6
0.4
Which one is not a condition of Poisson model
the probability of having failures in a small time interval is constant
the probability of having success more than one in a small time interval is very small
the probability of having success in this time interval is independent of time ‘t’ as well as earlier success
the probability of having success in a small time interval (t, t+td) is Kt for a positive constant k.
In ______ distribution, mean = variance.
Normal
Binomial
Poisson
none of these
The points of inflexion of the normal curve f(t) = e^(-t^2/2)/(sqrt(2π)) are
6, 14
5,15
4,16
none of these
The total area of the normal curve is the
one
50 percent
0.50
any value between 0 and 1
‘Stub’ of a table is the _________ part of the table describing the _________.
Left, Columns
Right, Columns
Right, Rows
Left, Rows
The pair of averages whose value can be determined graphically.
Mean and Median
Mode and Mean
Mode and Median
None of these
Find the Expected value of the following distribution x -20 -10 30 75 80 P(x) 3/20 1/5 1/2 1/10 1/20
20.5
21.5
22.5
24.5
The tests of shifting bases are called ___
Unit test
Time reversal test
Circular test
None of these
Purchasing power of money is stated as _____ price index?
Equal to
Unequal to
Reciprocal of
None of these
If ∑P0Q0=1360, ∑PnQ0= 1900, ∑PnQ0=1344, ∑PnQ0=1880, then the Laspyres Index number is
71
139.70
175
180
The difference between the upper and lower limit of a class is called
Class Interval
Mid Value
Class Boundary
Frequency
A man travels from Delhi to Agra at an average speed of 30km per hour and back at an average speed of 60 km per hour. What’s the average Speed.
48 Km/ hr
40 km/hr
45 km/hr
35 km/hr
If the mean of frequency distribution is 100 and coefficient of variation is 45% then standard deviation is.
45
0.45
4.5
450
if the mean and SD of X are a and b respectively, then the S.D of xa/b is
a/b
-1
1
ab
If one regression coefficient is greater than one, then other will be:
More than one
Equal to one
Less than one
Equal to minus one
The maximum value of correlation coefficient is
0
1
-1
none of these
What is exclusive Series
In which both upper and lower limit are not included in class frequency
In which lower limit is not included class frequency
In which upper limit is not included in class frequency
None of the above
If the arithmetic mean between two numbers is 64 and the Geometric Mean between them is 16. The Harmonic mean between them is ___
64
4
16
40
When the mean is 3.57 and mode is 2.13, then the value of median is ___
3.09
5.01
5.01
none of these.
