IB ACIO Exam Paper 2013 – Mathematics

Intelligence Bureau ACIO Exam Paper 2013 – Mathematics

In increasing 20 by P percentage gives the same result as decreasing 60 by P percentage, what is P percentage of 70 ?
(a) 50
(b) 140
(c) 14
(d) 35

If the Republic Day of India in 1980 falls on Saturday, X was born on March 3, 1980 and Y is older to X by four days, then Y’s birthday fell on
(a) Thursday
(b) Friday
(c) Wednesday
(d) None of these

There are six tasks and six persons. Task 1 cannot be assigned to either person 1 or 2 ; task 2 must be assigned to either person 3 or person 4. Every person has to be assigned a task. In how many ways can be assignment be done ?
(a) 144
(b) 180
(c) 192
(d) 360

A number when divided by divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisior ?
(a) 13
(b) 59
(c) 35
(d) 37

In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people?
(a) 15!/(8!)
(b) 7! * 8!
(c) (15C8)*6!7!
(d) 15C8 * 8!

What is the sum of all positive integers lying between 200 and 400 that are multiples of 7 ?
(a) 8729
(b) 8700
(c) 8428
(d) 8278

The difference between the ages of two brothers is a prime number. Sum of their ages is also a prime number. If the elder brother is 28 years old, how many different values can be age of the younger brother take ?
(a) 2
(b) 3
(c) 4
(d) 1

Find the least five digit number which on divided by 12, 18, 21 and 28 leaves the same remainder.
(a) 11019
(b) 10081
(c) 10059
(d) 10289

In what ratio should a 20% methyl alcohol solution be mixed with a 50% methyl alcohol solution so that the resultant solution has 40% methyl alcohol in it ?
(a) 1 : 2
(b) 2 : 1
(c) 1 : 3
(d) 2 : 3

A train covers certain distance between two places at a uniform speed. If the train moved 10 kmph faster, it would take 2 hours less. And, if the train were slower by 10 kmph, it would take 3 hours more than the scheduled time. Find the distance covered by the train
(a) 300 kms
(b) 600 kms
(c) 800 kms
(d) 1200 kms

In how many ways can be letters of the word ASSASSINATION be arranged so that all the S are together ?
(a) 10!
(b) 14!(4!)
(c) 1,51,200
(d) 36,28,800

In a lottery 10,000 tickets are sold and ten prizes are awarded. What is the probability of not getting a prize if you buy one ticket ?
(a) 9/10,000
(b) 9/10
(c) 999/1000
(d) 9999/10000