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1. The total weight of three children and one man is the same as the weight of 6 children. If each child weighs 30 kgs, what is the weight of the man?
a.76
b. 95
c.110
d.90
e. None of these.
2. In a construction project, a contractor completed 6/10 of the project before another contractor completed an additional 1/5 of the project. What fraction of the project is left undone?
a.1/3
b. 4/9
c.1/5
d.1/4
e. None of these.
3. What is the value of z in the sequence of 2, 5, 10, 17, 28, z?
a.15
b.
26
c.
37
d.
41
e. None of these.
4. If │x-12│=4x, then x=?
a.-8
b.-4
c.1
d.4
e. None of these.
5. A man spent ½ of his money and then lost ¼ of the remainder. He was left with TK. 3600. How much did he start with?
a.8000
b. 8600
c.9600
d.9200
e. None of these.
6. If p and q are positive integers and p(p+q) is even, which w hich of the following must be true?
a.If p is odd, then q is odd
b. if p is odd, then q is even
c.if p is even then q is even
d.if p is even, then q is odd
e. None of this. 7. An investor made a profit profi t of TK. 420 plus 30% of the amount originally origin ally paid for a stock. If the cost of the stock was originally TK. 2800 what percent of the cost was the total profit?
a.35
b. 50
c.45
d.30
e. None of these.
8. Tasty Cookies sells two kinds of cakes: Lemon for TK. 40 and Lazeez for TK. 25. On a certain day, the shop sold 100 cakes and got TK. 2980 in revenue from the sales. How many Lemon cakes did they sell?
a.30
b. 32
c.40
d.48
e. None of these.
9. If x is an even integer and x/12 is an odd integer, which of the following in NOT an even integer?
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a.x2/9
b. x2/12
c.(x2)24
d.x2/36
e. None of these
10. The ratio of red and black marbles in a jar is 3:5. If the number of red marbles is increased by 20% and the number of the black marbles is increased by 5 units then the new ratio of red and black marbles remains the same. How many red marbles were in the jar?
a.12
b. 15
c.24
d.30
e. None of these
11. Given 2x+2y=6z, 2x-2y= 2z and y-z=0, how many unique solutions are there for y?
a.1
b.2
c.3
d.4
e. None of these
12. Apu can have his mobile phone repaired for TK. 4000, or he can trade it in and receive. TK. 2000 credit toward the purchase of a new mobile that sells for TK. 8400. If Apu trades in his current mobile phone, the cost to him of purchasing the new mobile is what percent greater than the cost of having his current mobile phone repaired?
a.44
b. 60
c.70
d.75
e. None of these
13. On a particular day, a shop sold 3 fewer laptops of brand X than two times the number of laptops of brand Y. If a customer who bought a laptop of X brand had purchased a laptop of Y brand instead of X brand, the number of brand X and the number of brand Y sold would have been the same. What is the total number of laptop sold?
a.8
b. 9
c.10
d.12
e. None of these
14. In a club, 40% of the members were female. Forty new male became members of the club and as a result the percent of female members dropped to 30%. How many female members are there in the club now?
a.40
b. 42
c.46
d.48
e. None of these
15. Fifteen men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take, if 3 women do as much work as 2 men do?
a.25
b. 28
c.30
d.36
e. None of these
16. If the average (arithmetic mean) of three numbers x, y and z is 20. What is the average of the numbers (3x+25), (3y+10), (3z+5)?
a.30
b. 45
c.60
d.70
e. None of these
17. A number m is 8 times another number n. The percentage that n is less than m is?
a.90%
b. 87.25%
c.66.66%
d.12.50%
e. None of these
18. A shopkeeper sold an article for TK> 450 at a discount of 10% on the labeled price. He would have earned a profit of 25%, had there been no discount. What was the profit earned, in percentage, at the discounted price?
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a.10
b. 12
c.12.5
d.20
e. None of these
19. The average age of 8 people increases by 2 years when two women are included in place of two men aged 20 and 24. Find the average age of the two women.
a.30
b. 32
c.35
d.40
e. None of these
20. If the price of pen is discounted by 40%, for TK. 120 you can buy 4 more pens than you could buy at the original price. How many pens could be bought for TK. 120 at the original price?
a.6
b. 8
c.10
d.12
e. None of these
21. A person covers a certain distance at a certain speed. If the decreases his speed by 20%, then he takes 10 minutes more to cover the distance. Find the time taken by him to cover the distance. Find the time taken by him to cover the distance at original speed?
a.64
b. 60
c.48
d.40
e. None of these
22. Is x and y are integers and x+y<12, and x>6, what is the smallest possible value of x-y?
a.3
b. 4
c.5
d.6
e. None of these
c.-x+2<-8
d.x-2<9
e. None of these
23. If x<10, than it must be true that?
a.-x<-10
b. – x-2<12
24. The average of the five numbers is 7. If one of the numbers is multiplied by 3, the average of the numbers increases to 9.5. Which of the five numbers is multiplied by 3?
a.4
b. 5
c.5.6
d.6
e. None of these
25. Given that xy>0 and x>y, which of the following must be true?
I.x=y>0
II. x2+y2>xy
III. x2-y2>0
a.I
b. II
c.III
d.II & III
e. None of these.
26 to 30: Each problem consists of a problem followed by two statements. Decide whether the data in the statements are sufficient to answer the question. Select your answer according to whether:
a. Statements (1) alone is sufficient, bur statement (2) alone is not sufficient to answer the question. b. Statements (2) alone is sufficient, bur statement (1) alone is not sufficient to answer the question. Connect us:
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c. Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient. d. Each statement alone is sufficient. e. Statements (1) and (2) together are not sufficient, and additional data is needed to answer the question. 26. If n is an integer, is (n 3 + n2 – n+2) an odd integer?
a. N is >0
b. n is an odd integer
27. If x and y are integers and x>5, what is the value of (x-y) ?
a.x+y<10
b. y>1
28. If P is an integer greater than 30, is P>40?
a.P is a multiple of 3
b. P is a multiple of 8
29. What is the value of m+n?
a.mn=16
b. m/n=4/3
30. If xyz>0, is x>0?
a.xy>0
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b. xz>0
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