1.Let R = qs—4. When s=8, R=16. When s=10, R is equal to
a. 11
b. 14
c. 20
d. 21
Answer-d
2.
Answer d
3. If 272/3 × 81-1/2 = 3x, the value of x is
a. -1
b. 0
c. 1
d. 2
Answer -b
4. 0.333 .... × 0.444 .... is equal to
a. 0.148148148 ....
b. 0.777 ....
c. 0.121212 ....
d. 1.333 ....
Answer-a
5.
Answer-d
6.
Answer-c
7.
Answer-c
8.
Answer-c
9. On converting the following base-2 numeral in base ten, 1101101, we get
a. 96
b. 104
c. 108
d. 109
Answer-d
10. The number of prime factors of (6)10×(7)17×(55)27
a. 54
b. 64
c. 81
d. 91
Answer-d
11. A train crosses a pole in 15 seconds, while it crosses 100 meter long platform in 25 seconds. The length of the train is -
a. 125m
b. 135 m
c. 159 m
d. 175 m
Answer-c
12.Two taps A and B can fill a tank in 12 minutes and 15 minutes respectively. If both the taps are opened simultaneously and the tap A is closed after 3 minutes, then how much more time will it take to fill the tank by tap B?
a. 7 min & 15 sec
b. 7 min & 45 sec
c. 8 min & 5 sec
d. 8 min & 15 sec
Answer-d
13. The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio, the liquids be mixed in both the vessels so that the new liquid contains half milk and half water?
a. 7:5
b. 1:2
c. 2:1
d. 6:5
Answer-a
14.A car covers a distance of 715 km at a constant speed. If the speed of the car would have been 10 km/hr more, then it would have taken 2 hours less to cover the same distance. What is the original speed of the car?
a. 45 km/hr
b. 50 km/hr
c. 55 km/hr
d. 65 km/hr
Answer-c
15.A is 50% as efficient as B. C does half of the work done by A and B together. If C alone does the work in 40 days, then A, B and C together can do the work in
Answer-a
16. A person covered some distance in 12 hours. He covered half the distance by rail @ 75 km per hour and the rest by car @ 45 km/hr. The total distance covered by him was
a. 450 km
b. 675 km
c. 337.5 km
d. 1350 km
Answer-b
17. A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A's share, 4 times B's share and 7 times C's share are all equal. The share of C is
a. Rs. 84
b. Rs. 147
c. Rs. 196
d. Rs. 240
Answer-a
18. A and B entered into a partnership investing Rs. 12000 and Rs. 9000 respectively. After 3 months C also joined them with a capital of Rs. 15000. The share of C in the half yearly profit of Rs. 9500 is
a. Rs. 3500
b. Rs. 3000
c. Rs. 2500
d. Rs. 4000
Answer-c
19.A can do a piece of work in 12 days and B can do it in 18 days. They started the work together but A left 3 days before the completion of the work. The total number of days to complete the work is
Answer-b
20.The ratio of income of A and B is 5:4 and their expenditure is as 3:2. If at the end of the year, each saves Rs. 800, then the income of A is
a. Rs. 1700
b. Rs. 1800
c. Rs. 2000
d. Rs. 2200
Answer-c
21.A and B can together finish a work in 30 days. They worked at it for 10 days together and then B left. The remaining work was done by A alone in 30 more days. B alone can finish the work in
a. 48 days
b. 60 days
c. 75 days
d. 90 days
Answer-d
22.The ratio between the curved surface area and the total surface area of a right circular cylinder is 1:2. If the total surface is 616 sq. cm, the volume of the cylinder is
a. 1848 cm3
b. 1232 cm3
c. 1078 cm3
d. 980 cm3
Answer-c
23.A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 6 : 5. The smaller side of the rectangle is
a. 30 cm
b. 60 cm
c. 72 cm
d. 108 cm
Answer-b
24.A man walking at the rate of 6km per hour crosses a square field diagonally in 9 seconds. The area of the field is-
a. 125 sq. cm
b. 112.5 sq. cm
c. 110 sq. cm
d. 100√2 sq. m
Answer-b
25.A rectangular carpet has an area of 240 sq. cm. If its diagonal and the longer side are together equal to five times the shorter side, the length of the carpet is -
a. 10 cm
b. 24 cm
c. 26 cm
d. 27.5 cm
Answer-b
26.The ratio of 435 : 25 is same as
a. 4 : 1
b. 2 :1
c. 7 : 5
d. 7 :10
Answer-a
27. A sphere and a cube have equal surface areas. The ratio of the volume of the sphere to that of the cube is
a. √π : √6
b. √π : √6
c. √π : √3
d. √6 : √π
Answer-d
28.The marked price of a table is Rs. 3000 and is available at successive discounts of 20% and 10% respectively. If there is an additional discount of 5% on cash payment, then what is the cash price of the table?
a. Rs. 2400
b. Rs. 2160
c. Rs. 2100
d. Rs. 2052
Answer-d
29.A trader marks his goods 25% above the C.P. but discounts 15% on the marked price. His gain percent in the deal is-
Answer-b
30. A certain sum becomes Rs. 5290 in 2 years and Rs. 6083.50 in 3 years at C.I. The rate of interest per annum is -
a. 10%
b. 12%
c. 15%
d. 16⅔ %
Answer-c
31.A person borrowed Rs. 500@ 3% per annum S.I and Rs. 600 @4½% per annum on the agreement that the whole amount will be returned only when the total interest becomes Rs. 126. The number of years, after which the borrowed sum is to be returned, is
a. 2
b. 3
c. 4
d. 5
Answer-b
32.A sum of Rs. 12,000 doubles in 5 years at C.I. What will be the amount after 20 years?
a. Rs. 1,20,000
b. Rs. 1,92,000
c. Rs. 1,24,000
d. Rs. 96,000
Answer-b
33. A person sold 320 mangoes for the C.P. of 400 mangoes. His gain percent is
a. 10%
b. 15%
c. 12½%
d. 25%
Answer-d
34.On selling each of the rwo radios for Rs. 5000, a person neither gained nor lost. If he had sold one radio at 25% gain, then at what percent loss did he sell the other radio?
Answer-a
35. A person bought some oranges @ Rs. 10 per dozen and bought the same amount of oranges @ Rs. 8 per dozen. He sold these oranges @ Rs. 11 per dozen and gained Rs. 120. The total number of oranges bought by him was -
a. 30 dozen
b. 40 dozen
c. 50 dozen
d. 60 dozen
Answer-d
36.On selling a certain commodity for Rs. 425, there is as much gain as loss on selling it for Rs. 355. The C.P. of the commodity is
a. Rs. 370
b. Rs. 385
c. Rs. 390
d. Rs. 400
Answer-c
37.A sum of Rs. 800 amounts to Rs. 920 in three years at S.I. If the rate of interest is increased by 5% then the amount will increase to
a. Rs. 950
b. Rs. 980
c. Rs. 1010
d. Rs. 1040
Answer-d
38.Of the three numbers, second is twice the first and is also thrice the third. If the average of the three numbers is 44, the largest number is
a. 24
b. 36
c. 17
d. 72
Answer-d
39.A house owner wants to get his house painted. He is told that this would require 25 kg of paint. Allowing for 15% wastage and assuming that the paint is available in 2kg tins, the number of tins required for painting the house is -
a. 15
b. 12
c. 10
d. 20
Answer-a
40.Price of food grains have risen by 10% and of other items of consumption by 15%. If the ratio of an employee's expenditure on food grains and other items is 2:5, by how much should his salary be increased so that he may maintain the same level of consumption as before, assuming that his present salary is Rs. 3500?
a. Rs. 300
b. Rs. 350
c. Rs. 375
d. Rs. 475
Answer-d
1. A clock shows the time as 6 a.m. If the minute hand gains 2 minutes every hour, how many minutes will the clock gain by 9 p.m.?
(a) 30 minutes
(b) 25 minutes
(c) 28 minutes
(d) 34 minutes
2. Find the right number, from the given options, at the place marked by the question mark: 2, 4, 8, 32, 256, ?
(a) 4096
(b) 8192
(c) 512
(d) 1024
3. Find the number missing at question mark:
10, 11, 23, 39, 64, ?, 149
(a) 100
(b) 103
(c) 78
(d) 128
4. A super fast bus of KSRTC starting from 'Trivandrum' and reaches 'Attingal' in 45 minutes with an average speed of 40 km/hr. If the speed is increased by 10 km/hr how much time it will take to cover the same distance?
(a) 34 minutes (b) 36 minutes (c) 38 minutes (d) 40 minutes
5. The difference between 6 times and 8 times of a figure is 14. What is the figure?
(a) 12 (b) 9 (c) 7 (d) 6
6. If 92y = 36 what is 9y?
(a) 4 (b) 6 (c) 9 (d) 18
7. One fourth percent of 180 is:
(a) 4.5 (b) 0.45 (c) 0.045 (d) 45
8. A candidate appearing for an examination has to secure 40% marks to pass paper I. But he secured only 40 marks and failed by 20 marks. What is the maximum mark for paper I?
(a) 100 (b) 200 (c) 180 (d) 150
9. Find the missing number 32, 52, 74, 112, 135 ...............
(a) 16 (b) 15 (c) 17 (d) 14
10. If 250 is increased to 300, what is the percentage increase?
(a) 16.67 (b) 20 (c) 23 (d) 17
11. The ratio of 9 seconds to 10 hours is .............
(a) 1:40 (b) 1:4000 (c) 9:10 (d) 1:400
12. A person lost 10% when he sold goods at Rs.153. For how much should he sell them to gain 20%?
(a) 204 (b) 250 (c) 240 (d) 210
13. What will be xy if 7862xy is to be divisible by 125?
(a) 25 (b) 00 (c) 75 (d) 50
14. A train of 100 meters long is running at the speed of 36 km per hour. In what time it passes a bridge of 80 meters long?
(a) 30 seconds (b) 36 seconds (c) 20 seconds (d) 18 seconds
15. If two-third of a bucket is filled in one minute then the time taken to fill the bucket completely will be .......
(a) 90 seconds (b) 70 seconds (c) 60 seconds (d) 100 seconds
16. If a quarter kilogram costs Rs. 60 then how much will cost for 150 grams?
(a) Rs. 30 (b) Rs. 24 (c) Rs. 36 (d) Rs. 40
17. If 3 men or 6 boys can do a piece of work in 20 days then how many days with 6 men and 8 boys take to do the same work?
(a) 5 (b) 8 (c) 10 (d) 6
18. Find the sum of first 100 natural numbers
(a) 5050 (b) 5005 (c) 9900 (d) 9050
19. Two poles of height 6 meters and 11 meters stand on a plane ground. If the distance between their feet is 12 meters then find the difference in the distance between their tops:
(a) 12m (b) 5m (c) 13m (d) 11m
20. How many balls of radius 4 cm can be made from a solid sphere of lead of radius 8 cm?
(a) 4 (b) 8 (c) 16 (d) 2
21. The solution to x2 +6x+9 = 0 is ........
(a) x1 = + 3, x2 = -3 (b) x1 = 3, x2 = 3
(c) x1 = -3, x2 = -3 (d) No solution
22. What is the chance of getting a 2 or 4 in rolling a die?
(a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
23. At what rate of simple interest per annum an amount will be doubled in 10 years?
(a) 10% (b) 7.5% (c) 16% (d) 15%
24. Five times an unknown number is 5 less than 50. The unknown number
(a) 10 (b) 11 (c) 9 (d) 5
25. The acute angle between the hour hand and minute hand of a clock at 4 PM
(a) 900 (b) 1200 (c) 1500 (d) 2400
26. Water is filled in a cylindrical vessel in such a way that its volume doubles after every five minutes. If it takes 30 minutes for the vessel to be full, then the vessel will be one fourth full in
(a) 20 minute (b) 25 minutes
(c) 7 minutes 30 seconds (d) 10 minutes
27. If 10 cats can kill 10 rats in 10 minutes how long will it take 100 cats to kill 100 rats
(a) 1 minutes (b) 10 minute (c) 100 minutes (d) 10000 minutes
28. If 75 % of a number is added to 75, the result is the number itself, then the number is:
(a) 250 (b) 750 (c) 400 (d) 300
29. A school has enough food for 400 children for 12 days. How long will the food last if 80 more children join them?
(a) 6 days (b) 7 days (c) 10 days (d) 8 days
30. The sum of two consecutive numbers is 55, which is the largest number?
(a) 25 (b) 28 (c) 26 (d) 27
31. When a shop keeper sold 2/3 of an item, he got the cost price of the whole lot. What is the percentage of his profit?
(a) 33 1/8 % (b) 66 2/3 % (c) 25 % (d) 50 %
32. The perimeter of a rectangular field is 480 meters and the ratio between the length and breadth is 5:3. The area of the field is:
(a) 7,200m2 (b) 15,000m2 (c) 54,000m2 (d) 13,500m2
33. If you add 100 to a certain number, the result will be more than, if you multiply that number by 1000 what is that number?
(a) 1.5 (b) 1.0 (c) 2.5 (d) 2.0
34. A student has to secure 40 % marks to pass. He gets 150 marks and fails by 30 marks. What is the maximum marks?
(a) 400 (b) 500 (c) 475 (d) 450
35. The circumcentre of an obtuse triangle will always be in the
(a) Interior of the triangle
(b) Midpoint of the diameter
(c) Exterior of the triangle
(d) Midpoint of the side of the triangle
36. What is the degree measure of a semicircle?
(a) 360 (b) 90 (c) 270 (d) 180
37. Which among the following is the point of intersection of the medians of a triangle?
(a) Circumcentre (b) Centroid (c) Orthocenter (d) Incentre
38. The height of a cone and its base diameter are equal. If the base radius is 'r' what is its slant height?
(a) 3r (b) 4r (c) √5r (d) √3r
39. The radii of two spheres are in the ratio 2:3. What is the ratio of their surface areas?
(a) 4:9 (b) 2:3 (c) 8:27 (d) 4:6
40. What is the common ratio of the progression 3√2, 6, 6√2 ?
(a) 3 (b) 2 (c) √2 (d) √3
41. In class of 100 students 50 students passed in Mathematics and 70 passed in English, 5 students failed in both Mathematics and English. How many students passed in both the subjects?
(a) 25 (b) 30 (c) 50 (d) 45
42. Speed of a boat in still water is 9 km/hr. It goes 12 km down stream and comes back to the starting point in three hours.What is the speed of water in the stream?
(a) 3 km/hr (b) 4 km/hr (c) 4.5 km/hr (d) 5 km/hr
43. A student was asked to add 16 and subtract 10 from a number.He by mistake added 10 and subtracted 16. If his answer is 14 what is the correct answer?
(a) 20 (b) 26 (c) 30 (d) 32
44. Find the area of a right angled triangle whose hypotenuse is 10 cm and base 8 cm.
(a) 48 sq.cm (b) 34 sq.cm (c) 24 sq.cm (d) 42 sq.cm
45. Find the next term of the series: 3, 6, 9, 18, 27, 54, ......
(a) 81 (b) 69 (c) 63 (d) 57
46. A number consists of 20 plus 20% of its value. The number is:
(a) 20 (b) 22 (c) 25 (d) 30
47. 20% of 5 + 5% of 20 =
(a) 5 (b) 2 (c) 6 (d) 21
48. The angle between the minute hand and the hour hand of a clock, when the time is 8.30
(a) 800 (b) 600 (c) 1050 (d) 750
49. Rs. 1581 is divided among A, B and C in the ratio 10 : 15 : 6. What is the share of B?
(a) 306 (b) 765 (c) 700 (d) 510
50. The sum of four consecutive counting numbers is 154. Find the smallest number:
(a) 36 (b) 37 (c) 38 (d) 31
Answers
1 A 11 B 21 C 31 D 41 A
2 B 12 A 22 B 32 D 42 A
3 A 13 D 23 A 33 B 43 B
4 B 14 D 24 C 34 D 44 C
5 C 15 A 25 B 35 C 45 A
6 B 16 C 26 A 36 D 46 C
7 C 17 D 27 B 37 B 47 B
8 D 18 A 28 D 38 C 48 D
9 C 19 C 29 C 39 C 49 B
10 B 20 B 30 B 40 C 50 B
1. Minimum number that should be added to 23087 to make it completely divisible by 8 is ......
(a) 1 (b) 2 (c) 3 (d) 4
Ans (a)
2. The angles ABC are 5x0, 7x0 and 6x0 respectively. What is the measure of the Ð BCA?
(a) 500 (b) 600 (c) 700 (d) cannot decide
Ans (c)
3. 390× 1000 × 201 × 34 = ?
(a) 895 (b) 1540 (c) 1620 (d) 1780
Ans (c)
4. Ratio of costs of a table and a chair is 5:3 . If the tables cost Rs. 500 more than the cost of chair's, what is the chair's cost?
(a) Rs. 1250 (b) Rs. 1750 (c) Rs. 1450 (d) Rs. 750
Ans (d)
5. 1646 − 13 × 18 + 249 = ? + 875
(a) 786 (b) 687 (c) 2486 (d) 2356
Ans (a)
6. A number when divided by 5 leaves the remainder 3. What is the remainder when the square of the same number is divided by 5?
(A) 9 (b) 3 (c) 0 (d) 4
Ans (d)
7. 12% 650 + ? % of 400 = 110
(a) 25 (b) 18 (c) 8 (d) 80%
Ans (c)
8. train 'A' crosses a 160 m standing train 'B' in 15 sec and a standing person in 9 sec. What is its speed?
(a) 96 km/hr (b) 72 km/hr (c) 84 km/hr (d) 92 km/hr
Ans (a)
9. The type of matrix
√2 0 0
0 √3 0
0 0 √2
is?
(a) Scalar (b) Unit (c) Diagonal (d) Transpose
Ans (c)
10. The value of log 10000 is
(a) 4 (b) 8 (c) 5 (d) 6
Ans (a)
11. The sum of all numbers between 800 and 1100 which are divisible by 79 is
(a) 2846 (b) 2844 (c) 3844 (d) 3584
Ans (b)
12. The difference between the squares of any two consecutive integers is equal to
(a) Product of two numbers (b) Sum of two numbers
(c) Difference of two numbers (d) An even number
Ans (b)
13. 74 is divided into two parts so that 5 times one part and 11 times the others part are together equal to 454. Then the parts are
(a) 14,60 (b) 60,14 (c) 30,44 (d) 20,34
Ans (b)
14. If 4 workers can make 42 toys in 6 days, how many toys can 12 workers make in 3 days?
(a) 63 (b) 28 (c) 252 (d) 7
Ans (a)
15. The price of 349 coconuts are Rs 2094. What will be the price of 26 dozens of coconuts?
(a) Rs 1662 (b) Rs 1562 (c) Rs 2062 (d) Rs 1872
Ans (d)
16. The area of a rectangular field is 10 times of its length. If the breadth of the field is 10m, what is its length?
(a) 40m (b) 25m (c) 20m (d) data inadequate
Ans (d)
16. The salary of an employee was reduced by 40% first and then was increased by 50%. How much percent did he lose?
(a) 15% (b) 20% (c) 10% (d) 12%
Ans (c)
17. If 9 men & 15 women can do a piece of work in 25 days, then 39 men and 10 women will complete the same work in
(a) 7 days (b) 6 days (c) 5 days (d) 4 days
Ans (c)
18. One person took a loan of Rs. 5000 for 3 yrs on simple interest. After three years he paid back Rs. 6200 including the principal and the interest accrued. Calculate the rate of interest.
(a) 6% (b) 7% (c) 8% (d) 7.5%
Ans (c)
19. The smallest number which when added to the number 1154 makes it a perfect square is
(a) 1 (b) 2 (c) 3 (d) 4
Ans (b)
20. The present age of Ramesh is ¼ of his father's age. After 4 years, the sum of their ages will be 68. What is the present age of Ramesh?
(a) 10 yrs (b) 15 yrs (c) 16 yrs (d) 12 yrs
Ans (b)
21. Sheet metal required to make a hollow cone of height 24 cm and radius 7 cm is
(a) 407 cm2 (b) 250 cm2 (c) 704 cm2 (d) 400 cm2
Ans (c)
22. If 42 men can do a work in 15 days, how many men are required to complete it in 21 days?
(a) 24 (b) 36 (c) 30 (d) none of these
Ans (a)
23. Average marks in Maths in a class of 40 students is 45. Average of all the 30 boys is 50. Then the average marks obtained by the girls is
(a) 30 (b) 35 (c) 25 (d) none of these
Ans (a)
24. The largest angle of a quadrilateral is two times the smallest angle. If the angles form a series (a, a+d, a+2d, a+3d), the other two angles would be
(a) 600, 1200 (b) 800, 1000 (c) 900, 1000 (d) 700, 900
Ans (b)
25. A mixture of 20 kg of spirit and water contains 10% water. How much water must be added to this mixture to raise the percentage of water to 25%
(a) 4 kg (b) 5 kg (c) 8 kg (d) 30 kg
Ans (a)
26. A shopkeeper bought locks at the rate of 8 locks for Rs. 34 and sold them at 12 locks for Rs. 57. The number of locks he should sell to have a profit of Rs. 900 is
(a) 1400 (b) 1600 (c) 1800 (d) 2000
Ans (c)
27. A person travels equal distance with speed of 3 km/hr; 4 km/hr and 5 km/hr. and takes a total time of 47 minutes. The total distance (in km) is
(a) 1 (b) 3 (c) 4 (d) 5
Ans (a)
28. The perimeter of a circular and another square field are equal. Find the area in sq.m of the circular field if the area of the square field is 484 sq.m.
(a) 888 (b) 770 (c) 616 (d) None of these
Ans (c)
29. If the compound interest on a certain sum for 2 yrs at 10% annum is Rs. 2100, the simple interest on it at the same rate for 2 yrs will be.
(a) Rs. 1700 (b) Rs. 1800 (c) Rs. 1900 (d) Rs. 2000
Ans (d)
30. The diagonal of a square A is x + y. The diagonal of a square 'B' with twice the area of A is
(a) 2(x + y) (b) x + 2y (c) √2 (x + y) (d) 2x + 4y
Ans (c)
31. If 10x+3y : 5n+2y = 9:5, then x : y is
(a) 3:5 (b) 5:3 (c) 2:5 (d) 1:2
Ans (a)
32. A conical tent of radius 12m and height 16m is to be made. Find its cost if canvas is Rs. 10 per m2
(a) Rs 7543 (b) Rs 7445 (c) Rs 7342 (d) 7600
Ans (a)
33. 1, 5, 14, 30, ?, 91
(a) 45 (b) 55 (c) 46 (d) 60
Ans (b)
34. 1, 2, 4, 6, 7, 10, 10, ?, 13
(a) 7 (b) 11 (c) 14 (d) 12
Ans (c)
35. 2, 6, 30, 60, 130, ?
(a) 210 (b) 216 (c) 200 (d) 160
Ans (a)
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