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Test Paper 1 |
1 a>b>c and all three belong to natural numbers find the
value of b If
(a+1)(b+1)(c+1)-1=1000
A 10 B11 C 13 D 14
2 . If a,b,c,d are in continued proportion then what
is the value of "n' ?
a = an +bn+cn
d bn+ cn +dn
A 2 B 3 C4
D 5
| 3 | If |a|=3,| b|=4 and | a+ b|=1 then | a- b|=? |
| A | 5 |
| B | 6 |
| C | 7 |
| D | 8 |
| E | None of these |
| 4. | The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria? |
| A | 10 |
| B | 12 |
| C | 16 |
| D | 18 |
| E | 20 |
| 5 | If certain cells are spherical and are 0.008 millimeter in diameter how many such cells would be required to make a single row 1 millimeter in length?(The cells are placed so that each is tangent to the next with centers all in a straight line) |
| A | 8 |
| B | 80 |
| C | 100 |
| D | 125 |
| E | 1,250 |
| 6. | The diagonal of a square is doubled to make another square.The area of the new square will |
| A | become 4 times |
| B | become half |
| C | become 5 times |
| D | become 2 times |
| E | None of thes |
| 7. | When the circumference of a circle decrease from 3Π to Π its area decreases by approximately what %? |
| A | 88% |
| B | 69 8/9% |
| C | 78 8/9% |
| D | 44% |
| E | 88 8/9% |
| 8 | 4o brand A television sets and 80 brand B television sets were purchased for a motel chain. If the price of each brand B set was twice the price of each brand A set, what percent of the total bill was the price of a brand B set? |
| A | 0.25% |
| B | 0.5% |
| C | 0.625% |
| D | 0.833% |
| E | 1.0% |
| 9 | A merchant purchased 2000 fruits at Rs.40/- per 100 and spent Rs.200 on transport and other expenses. If 10% of them were spoiled, he sold the remaining at Rs.9/- per dozen. His gain percent in this sale is? |
| A | 5% |
| B | 15% |
| C | 25% |
| D | 35% |
| E | None of the |
10. 42. If x + y + z = 1, then xy + yz + zx is
[A] < 1/2 [B] 1/2 [C] >1/2 [D] none of these
11. X,Y,and Z take 20, 30 and 60 days
respectively to complete a job independently.
They set out to complete a job together . However Y leaves after 4 days and Z
leaves after another 6 days .
How many more days will it take for X alone to complete the job now?
A 4 B 3 C 5 D 6
12 A rectangular block of dimensions 5*6*7 cm. Is
dropped into a cylindrical vesssed of radius 6 cm. And height 10 cm.. If the
level of fluid in the cylinder rises by 4 cm.,
What portion of the block is immersed in the fluid?
A22/7*15/18 B22/7*24/35 C22/7*22/34 D22/7*12/15
13. A family uses a mixture of a blend of 2 coffees costing Rs. 30 and Rs. 60 respectively.If the family uses only the expensive variety, it will have to spend Rs.450 more. The annual consumption of coffee of the family is 20Kgs. In what ratio are the two blends being used?
A3:1 B2:3 C4:5 D2:1
.14 If x*y*z = (x2+y2)z, then value of 4*3*2 is
A650 B675 C550 D625
15. Ashish travels a distance of 100 km in the
following manner, at 20 kmph for the 1st 50 kms,at 25 kmph for the
next 50 kms. He returns at a constant speed of 25kmph.
What was his average speed for the journey?
A22.50 B23.52 C24.60 D22.35
16 X is 25% more efficient than Y and his
hourly wages are 25% more.
If X is paid Rs.75, how much will Y receive for the same work?
A65 B90 C75 D110
17 . Anand goes to a shop to buy the walkman costing Rs.2250. The rate of sales tax is 6% he wants the dealer to reduce the price so that he has to pay Rs.2000 inclusive of tax. Find the reduction needed in he percent of the walkman.
A15 B16 C17 D18
18.. X buys an apple from Y for Rs.5 and sells it to Z for Rs.10. He later buys the apple back from Z for Rs.12 and sells it to Y for Rs.15. What is his profit over the venture?
A8 B6 C12 D10
19. A man XY of height 1.75 cm stands at a distance of 4 metres from a pillar AB. If the pillar is at the height of 5.25 m from the ground, what is the length of the man's shadow on the ground ?
A 1m B2m C5m D6m
20. A spherical ball of 8 cm diameter is melted into a cone with base 20 cm in diameter. Find its height.
A2.56cm B3 cm C2 cm D 3.75 cm
21 .
P is the product of all the prime numbers between 1 to 100. Then the number of
Zeroes at the end of P are:
(A)
1
(B) 24
(C) 0
(D) none of these
22. An
oil tank is 9/10 full. When 50 litres of oil are removed, the tank is 5/6 full.
Find the capacity of the tank in
litres.
A. 600 B. 750 C 100 D 1200
23.
The sum of two prime numbers between 70 and 90 is 162. Their difference is
.A 10 B)
16
C. 14 D 4. or 16
24. Consider a 99 digit number created by writing side by side the first fifty
four natural number as follows:
12345678910111213……5354
The above number when divided by 8 will leave a remainder of
A. 6
B)4
C. 2 .D 0
25. A man engaged a servant on the condition that he would pay him Rs. 90 and
also give him a turban after service of one year. He served only for nine months
and received a turban and Rs. 65. Find the value of the turban in rupees.
A 10
B). 9
C 0 . D 2.50
26 A point P moves in a plane such that its distance from another point Q is
always 7 cm. If the point P moves
from
its starting position in the plane, say P1,
a distance of 44 cms and halts at point P2,
what is the distance
between
P1 and P2?
A 0 B 14 C 21 D 7
27
The compound
interest calculated yearly on a certain sum of money for the second year is Rs.
880 and for
the third year
is Rs.
968. Calculate the rate of interest
A 12 B 10 C 11 D 9
Directions for questions 28 to 33
Each question is followed by 2
statements
Mark (A) if statement a alone is suficient but statement b alone is not
sufficient
Mark (B) if statement b alone is sufficient but statement a alone is not
sufficient
Mark (C) if both statements a & b together are sufficient but neither
statements
alone is sufficient
Mark (D) if each statement alone is sufficient
Mark (E) if statement a & b together are not sufficient
28. What will be Raghu's age 5 year's from now
29. In a class of 50 students how many girls scored over 80% in chemistry test
30. In 1980, what was Vithal's monthly average income
31. Is X=Z, X,Y,Z are real numbers.
32. What is the value of X? X is a real number
Directions for questions 33 to 37
Five brothers have among them a pair of twins who are neither the oldest nor the youngest. E is older than C but younger than B. D is younger than 3 brothers
33. The youngest is
A ) A B) B C)C D) D
34. One of the twin pair is
A) B B) C C) D D) E
35. The eldest is
A) B B) C C) D D) B
36. The one who has as many elder brothers as younger brothers is
(A ) A (B)B (C)E (D) None of these
37. Who is the fourth brother
(A)A (B)B (C)D (D)E
38.A man invests Rs. 4000 in shares. He
invests Rs. 800 in 7%dividend paying shares at Rs. 8.00,
Rs. 1400 in 8% dividend paying shares at Rs.
7.00 and the remainder in 9% dividend paying
shares. If all the shares have a face value of Rs. 10.0 each and his %
return on investment is
10.25% at what price did he buy the 9% dividend paying shares ?
A Rs 8 Rs B
Rs 9 C Rs
8.50 D Rs 9.50
39 A
boy appears for 5 papers, each of the same number of maximum marks. He scores in
each of
the
papers in the ratio of 6: 7: 8: 9: 10. If his average score in all the five
papers together was
60%, then in how many papers did he
get more than 50% marks ?
(A)2 (B)3 (C)4 (D)5
| 40 | In between 6 p.m. and 7 p.m. when will both the hands be in oppsite direction? |
| A | 33 3/11 min past 6 |
| B | 36 min past 6 |
| C | Never happens |
| D | 25 min past 6 |
| E | 36 min past 7 |
| 41 | How many kg of Mirchi powder costing Rs.40 kg must be mixed with 16 kg of Mirchi powder costing Rs.55 kg so that 25% may be gained by selling the mixture at Rs.60 kg? |
| A | 24 kg |
| B | 14 kg |
| C | 16 kg |
| D | 28 kg |
| E | 12 kg |
| 42 | If y,2y+2,3y+3 are in G.P. then their fourth term is |
| A | - 3 |
| B | -9 |
| C | - 13.5 |
| D | -27 |
| E | - 8 |
| 43 | If triangle ABC the side BC is extended to D. if angle ABC=60 o and angle ACD=110oThen angleBAC= |
| A | 60o |
| B | 50 |
| C | 170o |
| D | 40o |
| E | None |
| 44. | If y>0 and sqrt(9y+36)= y then y=? |
| A | 6 |
| B | 5 |
| C | 4 |
| D | 2 |
| E | 12 |
| 45 | A frog is in a 19m. deep well. For every 3m jump the frog slips by 1m. How many jumps would get the frog out of the well? |
| A | 8 |
| B | 9 |
| C | 10 |
| D | 7 |
| E | None of the above |
| 46. | When 10 is divided by the positive integer n, the remainder is n-4. Which of the following could be the value of n? |
| A | 3 |
| B | 4 |
| C | 7 |
| D | 8 |
| E | 12 |
47. A sum of money placed at compound interest doubles itself in 4 years. In
how many years will it amount to eight times itself ?
(A) 8 years
(B) 16 years
(C) 12 years
(D) none of these
48. In an examination, every candidate must take either mathematics or science
or may take both if he so chooses.83.6% of the total took mathematics, 31.2% took science. If 370
candidates took both, find the total number of students.?
(A) 3200
(B) 2800
(C) 3000
(D) 2500
49.When 99
is divided by
the positive integer 8, the remainder is ..........
(A) 2
(B) 3
(C) 1
(D) 7
| 50 | How many liters of pure alcohol must be added to 10 liters of a mixture which is 15% alcohol to make a mixture which will be 25% alcohol? |
| A | 4/5 |
| B | 3/5 |
| C | 3/4 |
| D | 1/2 |
| E | 4/3 |
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