What is the largest number which divides both
235 -1 and 291 -1?
34
90
127
129
What is the largest power of 10 that divides
tbe product 29 x 28 x 27 x . . . 2 x 1 ?
4
5
6
7
What is the remainder when 6599 is divided by 11 ?
0
5
9
10
If the roots of the equation x2 — bx + c = 6 differ by 5, then which one of the following is correct?
b2 = 4c + 5
c2 = 4b - 5
b2+c2 = 5
b2 - c2 = 5
In a party of 160 persons, 75 persons take tea, 60 persons take coffee and 50 persons take milk 15 of them take both tea and coffee, but no one taking milk takes tea. If each person in the party takea at least one drink, then what is the number of persona taking milk only ?
50
40
30
20
6. A, B, C, D and E enter into a business. They invest money in the ratio 2 : 3 : 4 : 5 : 6. However, the time invested by them is in the ratio 6 : 6 : 4 : 3 : 2. If the profit distributed is directly proportional to time and money invested, then who receives the highest amount of profit ?
C
Both B and D
Both C and D
All get equal profit
Coosider the foflowing numbers
1. 437
2. 797
3. 1073
How many of the above numbers are prime
Only two
All three
None
A can do a certain work at twice the speed of B. Purther, B can do the same work at 1 5 times the speed of C. All of them together can finish the work in 12 days. In how many days can C alone finish the work ?
36 days
45 days
60 days
66 days
The sum of digits of a 2-digit number is 12. When the digits are reversed, the number becomes greater by eighteen. What is the difference between the digits in the number ?
1
2
3
4
The time taken by a train to cross a man travelling in another train is 10 seconds, when the other train is travelling in the opposite direction. However, it takes 20 seconds, if both the trains are travelling in the same direction. The length of the first train is 200 m and that of the second train is 150 m. What is the speed of the first train ?
60 km/hr
56 km/hr
54 km/hr
52 km/hr
If a, b, c, d, e and f satisfy
2a = 3b = 6c = 9d = 12e = 18f, then what is the value of (a + b)/(c + d + e + f) ?
4/7
2
5/2
9/2
If a, b, c are non-zero real numbers such that a + b + c = 0, then what are the roots of the equation ax2 + bx + c = 0 ?
2, 1 + (c/a)
1, a/c
1, c/a
2, (c/a) - 1
Twelve percent of bananas bought by a fruit vendor got lost during transportation. On selling the remaining bananas, the vendor’s overall profit turned out to be 4%. If the vendor had not lost any bananas and had sold them at the price of the remaining bananas, what would have been his profit percentage ?
8 1/9%
9 1/11%
18 2/11%
None of these
If the positive square root of (5+3 √2 ) (5-3 √2 ) is α, then what is the positive square root of 8 + 2α ?
2 + √3
3 - √2
√7 - 1
√7 + 1
When every even power of every odd integer (greater than 1) is divided by 8, what is the remainder ?
3
2
1
The remainder is not necessarily 1.

Which of the statements given above ie/are correct ?
1 only
2 only
Both 1 and 2
Neither 1 nor 2
It is given that 5 does not divide n — 1, n and n + 1, where n is a positive integer. Which one of the following is correct ?
5 divides (n2 + l)
5 divides (n2 — l)
5 divides (n2 + n)
5 divides (n2 - n)
What is the largest 5-digit number, which leaves remainder 7, when divided by 18 as well as by 11 ?
99981
99988
99997
99999
In a business dealing, A owes B Rs. 20,000 payable after 5 years, whereas B owes A Rs. 12,000 payable after 4 years. They want to settle it now at the rate of 5& simple interest. Who gives how much money in this settlement ?
Both are at par
B gives Rs. 6,000 to A
A gives Rs. 6,000 to B
A gives Rs. 4,000 to B
Average marks in Mathematics of Section A comprising 30 students is 65 and that of Section B comprising 35 students is 70. What are the average marks (approximately) of both the sections if it was detected later that an entry of 47 marks was wrongly made as 74 ?
67 28
67-58
68 11
68-63

2207
2247
2317
2337
Consider the following atatemento in respect of all factors of 360:
1. The number of factors is 24.
2. The sum of all factors is 1170.
Which of tbe above statements ia/are correct.
1 only
2 only
Both 1 and 2
Neither 1 nor 2
Consider a 6-digit number of the form XYXYXY. The number is divisible by :
3 and 7 only
7 and 13 only
3, 13 and 37 only
3, 7, 13 and 37

a
b
c
d

2
4
8
16
Let m and n be natural numbers. What is the minimum value of (m + n) such that 33m + 22n ia divisible by 121?
3
4
5
10
The product of two numbers is 2160 and their HCF is 12. If tbe sum of the squares of the squares of the two numbers is 4896, tben what is tbe mean of the two numbers ?
24
36
48
96
The age of Q exceeds the age of P by 3 years. The age of R is twice the age of P and the age of Q is twice the age of S. Further, the age difference of R and S is 30 years. What is the Sum of the ages of P and Q ?
35 years
38 years
39 years
45 years
If a, b aod c are tbe sides of a triangle ABC, then √a + √b - √c is always :
Negative
Positive
Non-negative
Non-positive
There are four bells which ring at on interval of 15 minutes, 25 minutes, 35 minutes and 45 minutes respectively. If all of them ring at 9 A.M., how many more times will they ring together in the next 72 hours.
0
1
2
3

One
Two
Three
Four
The number 9730- 1430 is divisible by :
37 but not 83
83 but not 37
Both 37 and 83
Neither 37 nor 83
Consider the following statemento :
1. log10 50 is a rational number.
2. log100 10 is an irrational number.
Which of the statements given above is/are correct?
1 only
2 only
Both 1 and 2
Neither 1 nor2

a
b
c
d

1
2
4
6
A, B aod C can complete a work in x, 1.5x and 2x days zespectîvely.If they complete the work together, in what ratio should they be paid?
2 : 3 : 4
6 : 4 : 3
3 : 2 : 1
4: 3 : 2

1 and 2 only
2 and 3 only
1 and 3 only
1, 2 and 3
What is the last digit of the sum S = 927 + 279 ?
3
6
7
9

a
b
c
d
The speed of a boat in still water is 15 km/hr. If it can travel 42 km downstream and 28 km upstream in the same time, then what is the speed of the stream ?
2.5 km/hr
3 km/hr
4.5 km/hr
6 km/hr
What is the difference between simple interest and compound interest on Rs. 10,000 for two years at 20% per annum compounded half-yearly ?
Rs.842
Rs.756
Rs.641
Rs.542

1 only
2 only
Both 1 and 2
Neither 1 nor 2

1 only
2 only
Both 1 and 2
Neither l nor 2
For what values of m, is mx2 + mx + 8x + 9 a perfect square ?
1,4
4,9
9,16
4,16

a
b
c
d

1 and 2 only
2 and 3 only
1 and 3 only
1, 2 and 3

a
b
c
d

a
b
c
d
What is the minimum value of 6 - 4 sin θ
0 ≤ θ ≤ π/2?
1
2
4
6

1
2
3
6

2
3
4
5

-1
0
1
2

a
b
c
d
If 2 cos2 θ + sin θ -2 = 0, 0 < θ ≤ π/2, then what is the value of θ ?
π/6
π/4
π/3
π/2
A woman is standing on the deck of a shipi which is h (in metres) above water level. She observes the angle of elevation of the top of a tower as 60° and the angle of depression of the base of the tower as 30°. What is the height of the tower ?
2h
3h
4h
5h
Let ABC be a right-angled triangle with sidea 5 cm, 12 cm and 13 cm. If p is the length of the perpendicular drawn from vertex A on the hypotenuse BC, then what is the value of 13p?
24
48
60
90
OABC is a rhombua whoae three vertices lie on a circle with centre at O. If the area of the rhombus is 32?3 aquare cm, then what ia the radius of the circle ?
4 cm
6 cm
8 cm
16 cm
The surface area of a cube is increased by 25%. If p is the percentage increase in its length, then which one of the following is
16 <p <18
14 <p <16
12 <p <14
10 <p <12
A solid cube is cut into two cuboids of equal volume. What is the ratio of total surface area of the given cube to that of one of the cuboids ?
2 : 1
3 : 2
4 : 3
5 : 3
The length of a diagonal of a cuboid is 11 cm. The surface area is 240 square cm. What is the sum of its length breadth aod height ?
16 cm
17 cm
18 cm
19 cm
What is the area of the circle (approximately) inscribed in a triangle with side lengths 12 cm, 16 cm and 20 cm ?
48 square cm
50 square cm
52 square cm
54 square cm
Two times the total surface area of a solid right circular cylinder is three times ito curved surface area. If h is the height and r is the radius of the base of the cylinder, then which one of the following is correct ?
h = r
h = 2r
2h = 3r
3h = 4r
A floor of a big hall has dimensions 30 m 60 cm and 23 m 40 cm. It is to be paved with square tiles of same size. What is the minimum number of tiles required ?
30
36
169
221
How long will a man take to walk around the boundary of a square field of area 25 hectares at the rate of 5 km/hr ?
36 minutes
30 minutes
24 minutes
18 minutes

a
b
c
d
If the length of a rectangle is increased by 66 2/3% then bar what percent should the width of the rectangle be decreased in order to maintain the same area ?
50%
45%
40%
35%
What is the maximum area that can be covered by three non-intersecting circles drawn inside a rectangle of sides 8 cm and 12 cm ?
16π square cm
18π square cm
20π square cm
24π square cm

a
b
c
d
A solid iron ball is melted and 64 smaller solid balls of equal aize are made uaing the entire volume of iron. What is the ratio of the surface area of the larger ball to the aum of the surface areas of all the smaller balls ?
0.25
0.50
0.75
1
A triangle ABC has been divided into four smaller triazzgles P, Q, It, S wbose peztzoeteza aze 16 cm, 12 cm, 4 cm aod 12 cmo respectively. P, R and S contain the vertices A, B and C respectively. What is the perimeter of the triangle ABC ?
18 cm
20 cm
22 cm
24 cm

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Class 0 - 30 30 - 60 60 - 90 90 - 120
Frequency 4 5 7 4
What is the mode of the distribution ?
60
72
75
80
Class 0 - 30 30 - 60 60 - 90 90 - 120
Frequency 4 5 7 4
If the median (P) and mode (Q) satisfy the relation 7 (Q - P) = 9R, then what is the value of R ?
6
5
3
1
Class 40 - 50 50 - 60 60 - 70 70 - 80
Frequency 4 3 1 2
What is the mean of the distribution ?
51
52
54
56
Class 40 - 50 50 - 60 60 - 70 70 - 80
Frequency 4 3 1 2
If M is the median then what ia the value of 3M ?
53 1/3
60
160
180
The plinth of a houae has an area of 200 square metres. It is rectangular in sdape and its length and breadth are in the ratio 2 : 1. The owner of the house extends the terracé by 1 at on each side. What is the percentage of area that has increased in the terrace relative to the plinth ?
40%
32%
20%
15.5%

6248 cubic cm
5896 cubic cm
5680 cubic cm
The. volume of a cuboid is 3600 cubic cm. The areas of two adjacent faces are 225 square cm and 144 square cm. What is the area of the other adjacent face ?
400 square cm
360 aquaré cm
320 aquare cm
300 square cm
The perimeter and the area of a right-angled triangle are 36 cm and 54 aquare cm respectively. What is the length of the hypotenuse ?
12 cm
14 cm
15 cm
16 cm

10
11
12
13
The perimeter of a sector of a circle of radius 5.2 cm is 16.4 cm. What is the area of the sector ?
15.6 square cm
15 square cm
14.4 square em
14.1 square cm

Question:
What is the length of QC ?
4.4 cm
4.2 cm
3.6 cm
3.2 cm

Question:
If < ABD = θ, then what is sin θ equal to ?
0.4
0.5
0.6
0.8

Question:
What is the radius of the circle ?
5 cm
4.8 cm
4.4 cm
4 cm

Question:
What is the area of the circle ?
100π square cm
96π square cm
50π square cm
48π square cm

Question:

a
b
c
d

Question:

a
b
c
d

Question:

a
b
c
d

Question:

a
b
c
d

Question:
What is the relation between x and y ?
x = y
2x = 3y
x = 3y
3x = 4y

Question:
If y = 15, then what is < ACB equal to ?
30°
40°
45°
60°