AIBA Savar Mock – 01

1. The product of two consecutive numbers is 12 more than the square of the smaller number. Find the greater number.

Check whether the number 168 is divisible by 3

Quantity A: number of 2’s in the prime factorization of 32

Quantity B: number of 2’s in the prime factorization of 60

If b is an integer and 396/b  is an integer, which of the following could be the value of b?

Out of 60 students, 15 prefer to study at night. What percent of students prefer nighttime studying?

A number is divided by two; then its decimal point is moved to the left two spaces. This is the same as taking what percent of the number?

Two friends, Jawad & Raiyan had some mushrooms each. One of them had 15 mushrooms more than the other.
The mushrooms that Jawad had were 60% of the total mushrooms they had. How many mushrooms did each
have?

A tank has 5 inlet pipes. Three pipes are narrow and two are wide. Each of the three narrow pipes works at 1/2 the rate of each of the wide pipes. All the pipes working together will take what fraction of time taken by the two wide pipes working together to fill the tank?

Working at their respective constant rates, Paul, Abdul and Adam alone can finish a certain work in 3, 4, and 5 hours respectively. If all three work together to finish the work, what fraction of the work will be done by Adam?

17. Rakib, Raja, and Rajib paid a total of 369 taka for their dinner at a restaurant. If Rakib paid 𝟐/𝟑 of the total amount, Raja paid 82 taka, and Rajib paid the rest, what fraction of the total amount Rajib paid? 

What must be added to x/y to make 2y/x ?

It took 64 people 77 days to construct a house. What fraction of the work can be completed by 44 people in 96 days?

A,B and c together earn Rs. 300 a day, while A and C together earn Rs.188 and B and C together earn Rs. 152 a day .What is the daily earning of C?

9. What is the unit digit of the sum 344 + 553 + 212?            

11. If (ax)^16(by)^12(cxy)^17(dxy)^11 >0, and all the variables are non-zero numbers, which of the following must be true?

14. 𝟐/𝟏𝟎𝟎 + 𝟕/𝟏𝟎𝟎𝟎𝟎 + 𝟒/𝟓𝟎𝟎𝟎𝟎= ?

15. If the value of X and Y in 𝑿𝒁/𝒀 are both tripled, how does the value of 𝑿𝒁/𝒀 change?

8. What is the unit digit of 177^28 – 133^23?

What is the greatest number of rectangles with integer side lengths and perimeter 10 that can be cut from a piece of paper with width 24 and length 60?

I forgot the last digit of a 7-digit telephone number. If 1 randomly dial the final 3 digits after correctly dialling the
first four, then what is the chance of dialling the correct number?

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

The ratio of girls to boys in a class is 8:7. The number of students in the class cloud be any of their following except

In a class of 100 students, 75 have at least one android, 80 have at least one iphone, and 55 have at least one
feature phone. If x and y are respectively the greatest and lowest possible number of students that have all three
of these devices, x – y is:

If 55% of the people who purchase a certain product is female ,what is the ratio of the number of females who purchase the product to the number of males who purchase the product ?

What’s the distance between 1 and 8 on a number line?

If perimeter of equilateral triangle is 9√6, what is the height of the triangle?

If the sum of four consecutive numbers is 38, what is the mean of the largest and the smallest of the four numbers?

 Choose the synonym of the word: “Candid”

Choose the antonym of the word: “Adversity”

1. She is interested ___ learning new languages.

10. They are playing football ___ the field.

11. The students are waiting ___ the bus.

which of the following does not belong to the group ?

ingenious (antonym)

sakib is very consistent. here consistent means?

Cramped (antonym)

tedious (antonym)

disengage (antonym)

innovate (antonym)

unkempt (antonym)

occult means

handy means

resentment (synonym)

synonym of Conjugal

synonym of Bombastic

synonym of belligerent

brutal means?

Arrogant is opposite to?

Aberration

Conciliatory

Inherent

Kinship

10. If Q is completed on Friday, which of the following must be true?

11. If U is completed on Thursday, any of the following could be true EXCEPT:

12. If T is completed on Monday, which of the following must be true?

In order to gain full course credit for her tour of a historic city, Amara must visit exactly seven famous landmarks — a cathedral, a museum, a fountain, a garden, a library, a palace, and a statue. Any tour plan that Amara devices will allow her to keep to her timetable and is thus acceptable, except that she must plan her tour to conform to the following conditions:

• The museum must be one of the first three places visited.
• The garden must be visited immediately before the fountain.
• The library cannot be the first or last place visited.
• The palace must be either the first or the last place visited.
• The statue must be one of the last three places visited.

Questions:

1. Which of the following is an acceptable order for Amara to tour all seven landmarks?

If, on her tour, Amara visits the cathedral, the library, and the museum, one directly after the other in the order given, she must visit the fountain.

If Amara begins her tour in the garden, which of the following could be the fourth landmark she will visit on the tour?

If Amara is to visit the statue sixth, she could visit the garden in any of the following positions on her tour EXCEPT

If Amara visits exactly one landmark between her visits to the museum and the statue, that place must be either the

A project manager is scheduling exactly six tasks—P, Q, R, S, T, and U—for a project that will be completed Monday through Saturday. Each task will be completed in one full day, and exactly one task will be scheduled for each day. The following conditions apply:

• P must be completed before R.
• Q must be completed immediately before or after the day on which T is completed.
• S must be completed on Wednesday.

Questions:

1. Which of the following is an acceptable schedule of tasks for the week?

• Mon. Tues. Wed. Thurs. Fri. Sat.

7. Any of the following could be completed on Saturday EXCEPT:

8. If T is completed on Tuesday, which of the following could be true?

Rumana loves band music. She always prefers Souls to Symphony and Miles to Feelings. She always prefers Feedback to Little River Band (LRB) and LRB to feelings. She always refers Miles to any other band whose name begins with S, except Souls, and she always chooses to listen to a band she prefers.

Rumana’s mother gives her one cassette by each of the band mentioned. Which of the following cannot occur?

Which of the following cannot be true?

9. If P is completed on Monday, which of the following must be true?

Rumana’s father gives her several cassettes. If the first cassette she plays is by strings, which of the following must be true?

Rumana’s sister gives her one cassette by each of the bands mentioned. Which of the following correctly states the order in which Rumana must play some of these cassettes?

10. If Leena is assigned to Shift 3, which of the following must be true?

Question No 11 – 13 The relative solidity of five materials — X, Y, Z, A, and B — is to be determined. One material is more hard than another if drawing an edge of the first material across a surface of the second material produces a graze; otherwise, the first material is either equally hard or not as hard as the second. The following results have so far been obtained: X grazes Y.
Z grazes A.
Y does not graze B.

11. Which of the following could be the five materials in order from the most solid to the least solid if no two of them are equally hard?

12. If Y grazes A, which of the following must be true?

13. If A grazes B, any of the following pairs of materials could be the same solidity as each other EXCEPT: