Q1.

If (5x - 2y) : (2x + y) = (6x - y) : (8x - y), find  x : y

  • 3 : 4 or 1 : 7

  • 2: 4 or 1:2

  • 5:7 or 6:5

  • 2:1 or 3:2

Solution:

3 : 4 or 1 : 7

Q2.

What number must be added to each of the numbers 6, 15, 20 and 43to make them proportional.

  • 3

  • 4

  • 2

  • 1

Solution:

3

Q3.

If a = b2x  ,  b = c2y ,    c = a2z  , find the value of xyz.

  • 3

  • 1/8

  • 4

  • 2/5

Solution:

1/8

Q4.

Find y if,   log2y + log8y + log32y -1 = 8/15

  • 1

  • 3

  • 2

  • 4

Solution:

2

Q5.

Solve 6x2 + x - 1 = 0

  • 1, -1

  • 2,1

  • 1/2, -1/2

  • 1/3, -1/2

Solution:

1/3, -1/2

Q6.

If a and b are the roots of the equation: 2x2 - 5x + 7 = 0, then find the equation whose roots are (2a + 3b), (3a + 2b)

  • 2x2 - 25x + 82 = 0

  • 2x2 - 25x + 16 = 0

  • 2x2 - 2x + 82 = 0

  • 5x2 - 2x + 82 = 0

Solution:

2x2 - 25x + 82 = 0

Q7.

A principal Rs 16,000 earns a compound interest at Rs 2522 in 18 months, when the interest is compounded half - yearly, find the r.

  • 5%

  • 10%

  • 12%

  • 15%

Solution:

10%

Q8.

A sum of money invested at compound interest doubles itself in 4 years, interest being payable annually. In how much time money will be eight times.

  • 12

  • 13

  • 14

  • 15

Solution:

12

Q9.

A machine can be purchased for Rs 50,000. machine will contribute Rs. 12,000 per year for the next five years. Assume cost of borrow is 10% per annum. Determine machine should be purchased or not

  • not purchased

  • purchased

  • cant say 

  • none of the above

Solution:

not purchased

Q10.

Find r,  if p(10, r + 1) : p(11, r) = 30 : 11

  • 4

  • 3

  • 2

  • 5

Solution:

5

Q11.

In how many ways can a person invite one or more of his six friends to a party.

  • 63

  • 127

  • 15

  • 511

Solution:

63

Q12.

Find the number of diagonals in a decagon is

  • 10

  • 15

  • 30

  • 35

Solution:

35

Q13.

Find r, if  npr = 720,  ncr = 120

  • 1

  • 2

  • 3

  • 4

Solution:

3

Q14.

10c4 + 10cx + 11c6 = 12c6,    find x

  • 1

  • 2

  • 3

  • 5

Solution:

5

Q15.

The 17 th term of an A.P. exceeds its 10 term by 7. Find d.

  • 1

  • 2

  • 3

  • 4

Solution:

1

Q16.

Which term of the A.P.   121, 117, 113, .........., is the first negative term.

  • 43

  • 32

  • 65

  • 12

Solution:

32

Q17.

In a G.P. a is 1, and the sum of its third term and fifth term is 90, find r.

  • 3, -3

  • 2,4

  • 3,2

  • 4,-3

Solution:

3, -3

Q18.

If x, 2y, 3z are in A.P. and x, y, z are in G.P. , where  x, y, z are distinct. find r.

  • 1/3

  • 3

  • 5

  • 1/2

Solution:

1/3

Q19.

The total number of elements in the proper power set of a set A, containing n elemetnts

  • 2

  • 2n

  • 2n -1

  • 4

Solution:

2n -1

Q20.

Which statement is wrong:

(a). An area diagram is histogram.

(b). Partition values can be located on less than ogive curve.

(c). Intersection point of both the ogive curves gives us mode.

(d). Histogram is one dimensional diagram.

  • a

  • b

  • c

  • d

Solution:

c

Q21.

Which statement is wrong:

(a). Stub is the left part of the table, shows row.

(b).Horizontal bar diagram is applicable for qualitative type data.(c). The distribution of revenueof a company bell shaped diagram.

(d).Multiple line chart is applicable for two or more related time series in the different unit.

  • a

  • b

  • c

  • d

Solution:

d

Q22.

The present value of an annuity Rs. 3000 for 15 years at 9.5% p.a. C.I. is

  • 23484.5

  • 20,000

  • 32,000

  • 28486.5

Solution:

23484.5

Q23.

A machine can be purchased for Rs.50,000. Machine will contribute Rs. 12,000 per year for next five years. Assume borrowing cost is 10%per annum. What is the present value of contribution.

  • 40,000

  • 45,490

  • 52,700

  • 48,640

Solution:

45,490

Q24.

Find the future value of an annuity of Rs.1000 made annuity for 10 years at interest rate of 14% compounded annually. 

  • 19,337

  • 21,490

  • 54,000

  • 26,976

Solution:

19,337

Q25.

A person purchased a car of Rs. 7,50,000. He made down payment of Rs. 2,50,000. Rest amount he wish to repay in 12 equal monthly instalments with interest 15% p.a. compute instalment amount.

  • 40,000

  • 35,000

  • 45,130

  • 36,990

Solution:

45,130

Q26.

If the mean and standard deviation of x are a and b2 respectively, find the S.D. of (x - 2a)/b.

  • a

  • ac

  • b

  • ba

Solution:

b

Q27.

M.D. of a given data is 240, if 1st year all values of data is increased by 40, and in 2nd year each value is hiked by 10% then find new M.D. 

  • 44

  • 40

  • 50

  • 54

Solution:

44

Q28.

Which statement is wrong:

(a) Index of base year is 100

(b) Fisher's is the ideal index number

(c) There are three test of adequacy

(d) Dorbish-Bowley is A.M. of Lespeyer's and Paasche's index number 

  • a

  • b

  • c

  • d

Solution:

c

Q29.

Which statement is wrong:

(a) Consumer price index is commonly known as cost of living index.

(b) In Paasche's index weights are based on base year quantities

(c) Factor reversal test gives us value index number 

(d)  In time reversal test P01 x P10 = 1

  • a

  • b

  • c

  • d

Solution:

b

Q30.

Which one is wrong:

(a) If r = 0.6, then the value of coefficient of determination is 0.36

(b) If r =0, then both lines will be perpendicular

(c) If cov(x,y) is negative then r is negative

(d) If bxy is negative then  r is positive

  • a

  • b

  • c

  • d

Solution:

d

Q31.

The mean and S.D. of group A is 23 and 20, and 13 and 26 of group B. which group is more consistent.

  • A

  • B 

  • Both 

  • None

Solution:

A

Q32.

If x and y are related as 2x + 3y + 9 = 0, and Q.D. of x is 3.24, find the Q.D. of y

  • 2.89

  • 5.76

  • 1.19

  • 2.16

Solution:

2.16

Q33.

Find the 3rd decile of 17, 10, 15, 18, 9, 12

  • 9

  • 10.2

  • 21.56

  • 17.45

Solution:

10.2

Q34.

The two regression equations are 5x + 8 = 4y,  2x = 3y. Find the value of x when y is 10.

  • 4

  • 6

  • 6.4

  • 8.3

Solution:

6.4

Q35.

If rxy = 0.45, and u = (210 - x)/9 and v = 4(y - 4), find the value of ruv 

  • -0.45

  • 0.45

  • 6

  • 6.4

Solution:

-0.45

Q36.

An unbiased die is thrown for three times. Find the probability that digit 3 appears at most one times.

  • 25/27

  • 2/18

  • 25/36

  • 1/12

Solution:

25/27

Q37.

What is the probability that in a leap year there are 53 Monday and Sunday

  • 2/7

  • 1/7

  • 3/7

  • 4/7

Solution:

1/7

Q38.

There are 6 boys and some girls in a group. The probability of selecting 2 boys from the group is 1/3. Find the number of girls in the group.

  • 1

  • 2

  • 3

  • 4

Solution:

4

Q39.

Five letters are sent to different persons and address on the five envelops are written at random. What is the probability that all letters reach at correct address.

  • 1/120

  • 2/89

  • 0.56

  • 0.22

Solution:

1/120

Q40.

In binomial distribution X ~ B( 8, 0.5 ), find mode it uni-modal or bi-modal

  • 4, 5, bi-modal

  • 3, bi-modal

  • 2, 3, bi-modal

  • 3, uni-modal

Solution:

3, uni-modal

Q41.

A box contains 200mitems and it is known that 2% of item are defective.  Find the probability of boxes having maximum 2 defective item is ( e-4 = 0.0183)

  • 0.24

  • 0.34

  • 0.78

  • 0.55

Solution:

0.24

Q42.

In a moderately skewed distribution, the median is double the mean, then the mode is 'n' times the median. Find 'n'

  • 2

  • 3

  • 4

  • 5

Solution:

2

Q43.

The 2nd term of an infinite geometrical series is 3/2 and its sum is 8. Find r.

  • 1 or 4

  • 3/5 or 1/4

  • 3/5 or 6

  • 8 or 5

Solution:

3/5 or 1/4

Q44.

A polygon has 44 diagonals. Find the number of its sides.

  • 11

  • 12

  • 13

  • 14

Solution:

11

Q45.

What is the number of ways that 4 boys and 3 girls can be seated, so that boys and girls sits alternate.

  • 44

  • 168

  • 120

  • 166

Solution:

120

Q46.

How many triangles can be formed by joining 12 points, in which 7 points lie on the striaght line.

  • 120

  • 435

  • 445

  • 185

Solution:

185

Q47.

A Supreme Court Bench consists of five judges. In how many ways the bench can give a majority decision? Also calculate the ways of negation not affecting the majority decision . 

  • 18 ways 

  • 22 ways 

  • 16 ways 

  • 15 ways 

Solution:

NA

Q48.

In how many ways can a committee of 3 ladies and 4 gents be chosen from 8 ladies and 7 gents ? What is the number of ways if Miss X refuses to serve if Mr. Y is a member ? 

  • 1540

  • 1500

  • 1520

  • 1510

Solution:

NA

Q49.

If x, 2x + 2, 3x + 3 are first three terms of a geometric progression, find its fourth term. 

  • 20/2

  • - (27/2)

  • 27

  • 2/27

Solution:

NA

Q50.

Find the sum of the series \({2 \over 9} + {1 \over 3} + {1 \over 2} + ..... + {81 \over 32}\) . 

  • \({2059 \over 288}\)

  • \({2059 \over 200}\)

  • \({2045 \over 288}\)

  • \({2669 \over 255}\)

Solution:

NA