Contents
IDO – Prelim Question Paper – 2019
- If the length of a rectangle is increased by 20% and the breadth is reduced by 20%, what will be the effect on its area?
(A) 4% increase
(B) 6% increase
(C) 4% decrease
(D) None of the above
- P and Q can do a work in 12 days, Q and R in 15 days, R and P in 20 days. Find in what time P will do it alone?
(A) 30 days
(B) 20 days
(C) 24 days
(D) 60 days
- If 10% of an electricity bill is deducted, Rs.45 is still to be paid. How much was the bill?
(A) Rs.55
(B) Rs.50
(C) Rs.45
(D) Rs.40
- HCF and LCM of two numbers are 16 and 240 respectively. If one of the number is 48, the other number is
(A) 32
(B) 64
(C) 80
(D) 160
- If p, q, r, s and t are five consecutive odd numbers, their average is
(A) 5(p+4)
(B) 9(p+4)/5
(C) p+4
(D) (p+t)/4
- A man purchases two watches at Rs.560. He sells one at 15% profit and other at 10% loss. Then he neither gains nor lose. The cost price of each watch is
(A) Rs.224, Rs.336
(B) Rs.220, Rs.340
(C) Rs.234, Rs.326
(D) Rs.244, Rs.316
- By selling an article for Rs.450, a man loses 25%. At what price he will sell in order to gain 25%?
(A) Rs.600
(B) Rs.650
(C) Rs.700
(D) Rs.750
- In what time Rs.2,400 will amount to Rs.2,646 at 5% p.a. compounded annually?
(A) 2 years
(B) 3 years
(C) 4 years
(D) 5 years
- At what rate of interest per annum will a sum double itself in 8 years?
(A) 12½%
(B) 17½%
(C) 22½%
(D) 27½%
- A man is walking at a speed of 10 km/hr. After every kilometre, he takes rest for 5 min. How much time will be taken to cover a distance of 5 km.?
(A) 45 minutes
(B) 50 minutes
(C) 55 minutes
(D) 1 hour
- The ratio of two numbers is 15 : 11. If their HCF is 13, then the numbers are
(A) 75, 55
(B) 42, 22
(C) 104, 44
(D) 195, 143
- A man can swim downstream at 8 km/hour and upstream at 2 km/hour. The speed of the current is
(A) 3 km/hour
(B) 4 km/hour
(C) 5 km/hour
(D) 6 km/hour
- If the average of a, b, c be M and ab + bc = -ca, then the average of a², b², c² is
(A) M²
(B) 3M²
(C) 9M²
(D) 27M²
- Three years ago the population of a town was 2,50,000. If it had increased by 3%, 4% and 6% in the last three years, the present population of the town is
(A) 2,83,268
(B) 2,83,468
(C) 2,83,668
(D) 2,83,868
- P, Q and R starts a business. P invests 3 time as much as Q invests and Q invests ⅔ of what R invests. If the total profit is Rs.1320, then the share of P will be
(A) Rs.760
(B) Rs.720
(C) Rs.600
(D) Rs.660
- If the cost price of 25 articles is equal to the selling price of 20 articles, the gain % is
(A) 20
(B) 25
(C) 30
(D) 45
- A bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. If the total value is Rs.35, how many coins of each type are there?
(A) 70
(B) 50
(C) 30
(D) 20
- A person distributes his pens among four friends A, B, C and D in the ratio ⅓:¼:⅕:⅙. What is the minimum number of pens that the person should have?
(A) 19
(B) 38
(C) 57
(D) 58
- A water tap can fill a cistern in 20 minutes and another can fill in 30 minutes. If both are opened simultaneously, the cistern will be full in
(A) 12 minutes
(B) 10 minutes
(C) 25 minutes
(D) 60 minutes
- If 90% of A = 30 % of B and B = x% of A, then the value of x is
(A) 600
(B) 800
(C) 900
(D) 300
IDO – Prelim Question Paper – 2007
8. The present age of the father is equal to the square of that of the son. When the age of the son will be equal to half the present age of the father, then age of the father will be equal to 8 times the present age of the son. The present age of the father is
(A) 36
(B) 49
(C) 64
(D) 25
9. Two equal numbers of .6., .6666, 6.6 and 66⅔% are
(A) 6.6, .6666
(B) .6., 66⅔%
(C) .6666, 66⅔%
(D) 6.6, 66⅔%
10. The ratio of the present ages of a man and his wife is 4 : 3. It will be 9 : 7 four years hence. The ratio was 7 : 5 at time of their marriage. How many years ago they got married?
(A) 8 years
(B) 4 years
(C) 2 years
(D) 10 years
14. If 20% of (x+y) = 50% of x, then x : y is equal to
(A) 2 : 3
(B) 3 : 2
(C) 2 : 5
(D) 5 : 2
21. A and B can do a work unitedly in 4 days. B independently takes 6 more days than that of A to do the work. A independently can do the work in
(A) 4 days
(B) 3 days
(C) 6 days
(D) 8 days
27. A certain type of German Silver contains copper, zinc and nickel in the ratio 4 : 3 : 2. The weight of zinc which is to mix with 54 kg. of such type of German Silver so that the ratio of the metals is 6 : 5 : 3 is
(A) 2 kg
(B) 4 kg
(C) 6 kg
(D) 8 kg
34. ABCD is a rectangle whose sides are 3 units and 2 units long. The length of the shortest path from A to C following the lines of the diagram is 5 units. How many different shortest paths are there from A to C?
(A) 10
(B) 8
(C) 12
(D) 6
35. A cistern can be filled up by a tap in 5 hours while it can be emptied by another tap in 6 hours. If both the taps are turned on together when the cistern is empty the time taken to fill up the cistern is
(A) 15 hrs
(B) 20 hrs
(C) 25 hrs
(D) 30 hrs
40. A two-digit number is 5 times the sum of the digits. The digits are reversed if 9 is added to the number. The number is
(A) 54
(B) 45
(C) 44
(D) 53
44. If cost price : selling price = 10 : 11, the gain percent is
(A) 5%
(B) 10%
(C) 50%
(D) 100%
45. The product of two consecutive positive even numbers is 528. The numbers are
(A) 12, 44
(B) 66, 8
(C) 88, 6
(D) 22, 24
52. The sum of two positive numbers is 8 and their product is 15. The sum of the reciprocals is
(A) ⁸/₁₅
(B) ¹⁵/₈
(C) ³/₅
(D) ⁵/₃
58. Of five numbers, the average of the first four is 26 and that of the last four is 25. The difference of the first and the fifth number is
(A) 1
(B) 4
(C) 2
(D) 5
62. The ratio of two numbers is 7 : 8 and their sum is 60. Their H.C.F. is
(A) 4
(B) 6
(C) 2
(D) 8
63. A man encashed a cheque of Rs.700 from a bank and got 100 notes of Rs.5 and Rs.10. The numbers of Rs.5 note is
(A) 40
(B) 50
(C) 60
(D) 70
64. The minimum value of
(A) ⁵/₉
(B) 0.5.9.
(C) √(⁹/₆₄)
(D) (.8)²
65. A bag contains some 1 Re and 50 paise coins amounting to Rs.260. If of 1 Re coins be replaced by the same number of 50 paise coins, the total amount is Rs.215. At first the number of coins 1 Re was
(A) 160
(B) 180
(C) 80
(D) 90
73. If 5 times of a positive whole number is 3 less than twice the square of the number. The number is
(A) 3
(B) 5
(C) 7
(D) 9
74. The simplest value of
(A) 100
(B) 693
(C) 597
(D) 594
75. In an election 10% of the total voters remained absent. 3% of casted votes were rejected. The elected candidate defeated his rival by getting 56% of the legal votes in 2619 votes. The total of voters was
(A) 20,000
(B) 25,000
(C) 30,000
(D) 40,000
76. The number which is reciprocal of itself is
(A) 10
(B) 1
(C) 100
(D) 1000
79. The length of each side of a square is increased by 10%. Then its area is increased by
(A) 10%
(B) 31%
(C) 12%
(D) 21%
82. The cost of 2 tables and 3 chairs together is Rs.1075. Again the cost of 3 tables and 8 chairs together is Rs.1875. The cost of each table is
(A) Rs.750
(B) Rs.570
(C) Rs.850
(D) Rs.425
96. In an examination, the candidates passed in Bengali, Mathematics and in both subjects are 85%, 70% and 65% respectively. If the total number of candidates is 60 the number of candidates failed in both subjects is
(A) 39
(B) 12
(C) 6
(D) 10
97. A man reduces the use of sugar by 25% due rise of price 25%. His cost of sugar then increases or decreases by
(A) 50% increase
(B) 50% decrease
(C) 6¼% increase
(D) 6¼% decrease
98. The area of a rectangle is 1350 sq.m. If the breadth is increased by 10 m and the length is decreased by 5 m. it becomes a square. The length of the rectangle is
(A) 30 m
(B) 45 m
(C) 135 m
(D) 90 m