1.When a bicycle is in motion, the force of friction exerted by the ground on the two wheels is such that it acts
(a) In the backward direction on the front wheel and in the forward direction on the rear wheel.
(b) In the forward direction on the front wheel and in the backward direction on the rear wheel.
(c) In the backward direction on both the front and rear wheels.
(d) In the backward direction on both the front and rear wheels.
Ans. (d)
2. A certain radioactive element A, has a half life = t seconds.In (t/2) seconds the fraction of the initial quantity of the element so far decayed is nearly
(a) 29%
(b) 15%
(c) 10%
(d) 45%
Ans. (a)
3. john weighe twice as much as Marcia. Marcia’s weight is 60% of Bob’s weight.Dave weighs 50% of Lee’s weighs 190% of John’s wight. Which of these 5 persons weighs the least?
A) Bob
B) Dave
C) John
D) Lee E) Marcia
Ans) E
4. A trip takes 6 hours to compleate. After traveling 1/4 of an hour, 1 3/8 hours, and 2 1/3 hours, howmuch time does need to complete the trip?
A) 2 1/12hours
b) 2hours, 2 1/2 minutes
c) 2 hours,5minutes
d) 2 1/8 hours
ANS) B
5. Which of the following plots would be a straight line ?
(a) Logarithm of decay rate against logarithm of time
(b) Logarithm of decay rate against logarithm of number of decaying nuclei
(c) Decay rate against time
(d) Number of decaying nuclei against time
Ans. (b)
6. If the sum of the roots of the equation ax2 + bx + c=0 is equal to the sum of the squares of their reciprocals then a/c, b/a, c/b are in
(a) AP
(b) GP
(c) HP
(d) None of these
Ans. (c)
7. A man speaks the truth 3 out of 4 times. He throws a die and reports it to be a 6. What is the probability of it being a 6?
(a) 3/8
(b) 5/8
(c) 3/4
(d) None of the above
Ans. (a)
8. If cos2A + cos2B + cos2C = 1 then ABC is a
(a) Right angle triangle
(b) Equilateral triangle
(c) All the angles are acute
(d) None of these
Ans. (a)
9. Image of point (3,Cool in the line x + 3y = 7 is
(a) (-1,-4)
(b) (-1,4)
(c) (2,-4)
(d) (-2,-4)
Ans. (a)
10. City B is 5 miles east of City A. City C is 10 miles southeast of City B. Which of the following is the closest to the distance from City A to City C?
Ans: 14 miles
11. If the area of a square increases by 69%, then the side of the square increased by
Ans: 30%
12. There are 30 socks in a drawer. 60% of the socks are red and the rest are blue. What is the minimum number of socks that must be taken from the drawer without looking in order to be certain that atleast two blue socks have been chosen?
Ans: 20
13. The mass number of a nucleus is
(a) Always less than its atomic number
(b) Always more than its atomic number
(c) Sometimes more than and sometimes equal to its atomic number
(d) None of the above
Ans. (c)
14. How many bonds are present in CO2 molecule?
(a) 1
(b) 2
(c) 0
(d) 4
Ans. (d)
15. In a balanced chemical equation
(a) Atoms are conserved
(b) Molecules are conserved
(c) Moles are conserved
(d) Reactant and product molecules are preserved
Ans. (a)
16.A catalyst
(a)always slows down the reaction
(b)always starts a rection that would not have ocurred at all otherwise
(c)causes changes in the rate of the reaction
(d)changes the quantities of the products formed
Ans. (c)
17. If the sum of n terms of two series of A.P are in the ratio 5n+4:9n+6. Find the ratio of their 13th terms
(a) 129/231
(b) 1/2
(c) 23/15
(d) None of the above
Ans. (a)
18. If the letters of the word “rachit” are arranged in all possible ways and these words are written out as in a dictionary, what is the rank of the word “rachit”.
(a) 485
(b) 480
(c) 478
(d) 481
Ans. (d)
19. Ravi’s salary was reduced by 25%.Percentage increase to be effected to bring the salary to the original level is
(a) 20%
(b) 25%
(c) 33 1/3%
(d) 30%
Ans. (c)
20. A and B can finish a piece of work in 20 days .B and C in 30 days and C and A in 40 days. In how many days will A alone finish the job
(a) 48
(b) 34 2/7
(c) 44
(d) 45
Ans. (a)
Following questions are based on letters analogy.First pair of letters should have the same relationship as the second pair of letters or vice versa.
21. ? : BGLQ : : YDIN : VAFK
(a) EKNS
(b) DKMT
(c) DLMS
(d) EJOT
Ans. (d)
(a) In the backward direction on the front wheel and in the forward direction on the rear wheel.
(b) In the forward direction on the front wheel and in the backward direction on the rear wheel.
(c) In the backward direction on both the front and rear wheels.
(d) In the backward direction on both the front and rear wheels.
Ans. (d)
2. A certain radioactive element A, has a half life = t seconds.In (t/2) seconds the fraction of the initial quantity of the element so far decayed is nearly
(a) 29%
(b) 15%
(c) 10%
(d) 45%
Ans. (a)
3. john weighe twice as much as Marcia. Marcia’s weight is 60% of Bob’s weight.Dave weighs 50% of Lee’s weighs 190% of John’s wight. Which of these 5 persons weighs the least?
A) Bob
B) Dave
C) John
D) Lee E) Marcia
Ans) E
4. A trip takes 6 hours to compleate. After traveling 1/4 of an hour, 1 3/8 hours, and 2 1/3 hours, howmuch time does need to complete the trip?
A) 2 1/12hours
b) 2hours, 2 1/2 minutes
c) 2 hours,5minutes
d) 2 1/8 hours
ANS) B
5. Which of the following plots would be a straight line ?
(a) Logarithm of decay rate against logarithm of time
(b) Logarithm of decay rate against logarithm of number of decaying nuclei
(c) Decay rate against time
(d) Number of decaying nuclei against time
Ans. (b)
6. If the sum of the roots of the equation ax2 + bx + c=0 is equal to the sum of the squares of their reciprocals then a/c, b/a, c/b are in
(a) AP
(b) GP
(c) HP
(d) None of these
Ans. (c)
7. A man speaks the truth 3 out of 4 times. He throws a die and reports it to be a 6. What is the probability of it being a 6?
(a) 3/8
(b) 5/8
(c) 3/4
(d) None of the above
Ans. (a)
8. If cos2A + cos2B + cos2C = 1 then ABC is a
(a) Right angle triangle
(b) Equilateral triangle
(c) All the angles are acute
(d) None of these
Ans. (a)
9. Image of point (3,Cool in the line x + 3y = 7 is
(a) (-1,-4)
(b) (-1,4)
(c) (2,-4)
(d) (-2,-4)
Ans. (a)
10. City B is 5 miles east of City A. City C is 10 miles southeast of City B. Which of the following is the closest to the distance from City A to City C?
Ans: 14 miles
11. If the area of a square increases by 69%, then the side of the square increased by
Ans: 30%
12. There are 30 socks in a drawer. 60% of the socks are red and the rest are blue. What is the minimum number of socks that must be taken from the drawer without looking in order to be certain that atleast two blue socks have been chosen?
Ans: 20
13. The mass number of a nucleus is
(a) Always less than its atomic number
(b) Always more than its atomic number
(c) Sometimes more than and sometimes equal to its atomic number
(d) None of the above
Ans. (c)
14. How many bonds are present in CO2 molecule?
(a) 1
(b) 2
(c) 0
(d) 4
Ans. (d)
15. In a balanced chemical equation
(a) Atoms are conserved
(b) Molecules are conserved
(c) Moles are conserved
(d) Reactant and product molecules are preserved
Ans. (a)
16.A catalyst
(a)always slows down the reaction
(b)always starts a rection that would not have ocurred at all otherwise
(c)causes changes in the rate of the reaction
(d)changes the quantities of the products formed
Ans. (c)
17. If the sum of n terms of two series of A.P are in the ratio 5n+4:9n+6. Find the ratio of their 13th terms
(a) 129/231
(b) 1/2
(c) 23/15
(d) None of the above
Ans. (a)
18. If the letters of the word “rachit” are arranged in all possible ways and these words are written out as in a dictionary, what is the rank of the word “rachit”.
(a) 485
(b) 480
(c) 478
(d) 481
Ans. (d)
19. Ravi’s salary was reduced by 25%.Percentage increase to be effected to bring the salary to the original level is
(a) 20%
(b) 25%
(c) 33 1/3%
(d) 30%
Ans. (c)
20. A and B can finish a piece of work in 20 days .B and C in 30 days and C and A in 40 days. In how many days will A alone finish the job
(a) 48
(b) 34 2/7
(c) 44
(d) 45
Ans. (a)
Following questions are based on letters analogy.First pair of letters should have the same relationship as the second pair of letters or vice versa.
21. ? : BGLQ : : YDIN : VAFK
(a) EKNS
(b) DKMT
(c) DLMS
(d) EJOT
Ans. (d)
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