1.
Find the measure of the central angle of the sector whose perimeter is 25 cm and the radius of the circle is 7 cm?
Correct Answer
D. 90°
2.
A laborer can do a job in 50 hours. After 5 hours he takes a break. What fraction of the job is yet to be done?
Correct Answer
D. 0.9
3.
In an army selection process, the ratio of selected to unselected candidates was 6:1. If 30 less had applied and 10 less selected, the ratio of selected to unselected would have been 7:1. How many candidates had applied for the process?
Correct Answer
A. 910
4.
Three containers whose volumes are in the ratio of 2 : 3 : 4 are full of mixture of spirit and water. In the 1st container the ratio of spirit and water is 4 : 1 in 2nd container the ratio is 11 : 4 and in the 3rd container ratio is 7 : 3. All the three mixtures are mixed in a big container. The ratio of spirit and water in the resultant mixture is:
Correct Answer
C. 11 : 4
5.
What equal installment of annual payment will dis-charge a debt which is due as Rs. 848 at the end of 4 years at 4% per annum simple interest?
Correct Answer
B. Rs. 200
6.
A man can row three-quarters of a kilometre against the stream in 11 minutes and down the stream in 7 minutes. The speed (in km/hr) of the man in still water is:
Correct Answer
D. 5
Explanation
We can write three-quarters of a kilometre as 750 metres,
and 11 minutes as 675 seconds.
Rate upstream =
750
m/sec
=
10
m/sec.
675
9
Rate downstream =
750
m/sec
=
5
m/sec.
450
3
Rate in still water =
1
10
+
5
m/sec
2
9
3
=
25
m/sec
18
=
25
x
18
km/hr
18
5
= 5 km/hr.
7.
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:
Correct Answer
C. 3 : 4
Explanation
Let the speed of the train be x km/hr and that of the car be y km/hr.
Then,
120
+
480
= 8
1
+
4
=
1
....(i)
x
y
x
y
15
And,
200
+
400
=
25
1
+
2
=
1
....(ii)
x
y
3
x
y
24
Solving (i) and (ii), we get: x = 60 and y = 80.
Ratio of speeds = 60 : 80 = 3 : 4.
8.
A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:
Correct Answer
C. 16 km
Explanation
Let the distance travelled on foot be x km.
Then, distance travelled on bicycle = (61 -x) km.
So,
x
+
(61 -x)
= 9
4
9
9x + 4(61 -x) = 9 x 36
5x = 80
x = 16 km.
9.
A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:
Correct Answer
D. 40
Explanation
Let distance = x km and usual rate = y kmph.
Then,
x
-
x
=
40
2y(y + 3) = 9x ....(i)
y
y + 3
60
And,
x
-
x
=
40
y(y - 2) = 3x ....(ii)
y -2
y
60
On dividing (i) by (ii), we get: x = 40.
10.
The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:
Correct Answer
D. 2520 m2
Explanation
We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103.
Solving the two equations, we get: l = 63 and b = 40.
Area = (l x b) = (63 x 40) m2 = 2520 m2.
11.
The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
Correct Answer
B. 50% increase
Explanation
Let original length = x and original breadth = y.
Original area = xy.
New length =
x
.
2
New breadth = 3y.
New area =
x
x 3y
=
3
xy.
2
2
Increase % =
1
xy x
1
x 100
%
= 50%.
2
xy
12.
A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
Correct Answer
D. 8 months
Explanation
Suppose B joined for x months. Then,
Then,
85000 x 12
=
3
42500 x x
1
x =
85000 x 12
= 8.
42500 x 3
So, B joined for 8 months.
13.
A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew of his capital and B withdrew of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:
Correct Answer
A. Rs. 330
Explanation
A : B =
4x x 3 +
4x -
1
x 4x
x 7
:
5x x 3 +
5x -
1
x 5x
x 7
4
5
= (12x + 21x) : (15x + 28x)
= 33x :43x
= 33 : 43.
A's share = Rs.
760 x
33
= Rs. 330.
76
14.
A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:
Correct Answer
B. 3.696 kg
Explanation
External radius = 4 cm,
Internal radius = 3 cm.
Volume of iron
=
22
x [(4)2 - (3)2] x 21
cm3
7
=
22
x 7 x 1 x 21
cm3
7
= 462 cm3.
Weight of iron = (462 x 8) gm = 3696 gm = 3.696 kg.
15.
66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:
Correct Answer
A. 84
Explanation
Let the length of the wire be h.
Radius =
1
mm
=
1
cm.
Then,
2
20
22
x
1
x
1
x h = 66.
7
20
20
h =
66 x 20 x 20 x 7
= 8400 cm = 84 m.
22
16.
A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
Correct Answer
C. 1200
Explanation
2(15 + 12) x h = 2(15 x 12)
h =
180
m =
20
m.
27
3
Volume =
15 x 12 x
20
m3
= 1200 m3.
17.
A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
Correct Answer
C. Rs. 72
Explanation
C.P. = Rs.
100
x 392
= Rs.
1000
x 392
= Rs. 320
122.5
1225
Profit = Rs. (392 - 320) = Rs. 72.
18.
Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Correct Answer
C. 5.6
Explanation
Cost Price of 1 toy = Rs.
375
= Rs. 31.25
12
Selling Price of 1 toy = Rs. 33
So, Gain = Rs. (33 - 31.25) = Rs. 1.75
Profit % =
1.75
x 100
%
=
28
% = 5.6%
31.25
5
19.
Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:
Correct Answer
D. 44%
Explanation
Suppose, number of articles bought = L.C.M. of 6 and 5 = 30.
C.P. of 30 articles = Rs.
5
x 30
= Rs. 25.
6
S.P. of 30 articles = Rs.
6
x 30
= Rs. 36.
5
Gain % =
11
x 100
% = 44%.
25
20.
X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
Correct Answer
B. 10 days
Explanation
Work done by X in 4 days =
1
x 4
=
1
.
20
5
Remaining work =
1 -
1
=
4
.
5
5
(X + Y)'s 1 day's work =
1
+
1
=
8
=
2
.
20
12
60
15
Now,
2
work is done by X and Y in 1 day.
15
So,
4
work will be done by X and Y in
15
x
4
= 6 days.
5
2
5
Hence, total time taken = (6 + 4) days = 10 days.
21.
A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?
Correct Answer
B. 13 days
Explanation
Ratio of times taken by A and B = 100 : 130 = 10 : 13.
Suppose B takes x days to do the work.
Then, 10 : 13 :: 23 : x x =
23 x 13
x =
299
.
10
10
A's 1 day's work =
1
;
23
B's 1 day's work =
10
.
299
(A + B)'s 1 day's work =
1
+
10
=
23
=
1
.
23
299
299
13
22.
Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
Correct Answer
C. 8 hours 15 minutes
Explanation
Number of pages typed by Ravi in 1 hour =
32
=
16
.
6
3
Number of pages typed by Kumar in 1 hour =
40
= 8.
5
Number of pages typed by both in 1 hour =
16
+ 8
=
40
.
3
3
Time taken by both to type 110 pages =
110 x
3
hours
40
= 8
1
hours (or) 8 hours 15 minutes.
4
23.
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Correct Answer
C. 6 years
Explanation
Mother's age when Ayesha's brother was born = 36 years.
Father's age when Ayesha's brother was born = (38 + 4) years = 42 years.
Required difference = (42 - 36) years = 6 years.
24.
The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:
Correct Answer
B. 7 : 3
Explanation
Let the ages of father and son 10 years ago be 3x and x years respectively.
Then, (3x + 10) + 10 = 2[(x + 10) + 10]
3x + 20 = 2x + 40
x = 20.
Required ratio = (3x + 10) : (x + 10) = 70 : 30 = 7 : 3.
25.
A man has Rs.480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Correct Answer
D. 90
Explanation
Let number of notes of each denomination be x.
Then x + 5x + 10x = 480
16x = 480
x = 30.
Hence, total number of notes = 3x = 90.
26.
Spring : Spiral : : Bangle : ?
Correct Answer
B. Circle
Explanation
Shape of spring is spiral
& shape of bangle is circle
27.
Select the odd word from the given alternatives.
Correct Answer
D. 640
Explanation
Except 640, all are multiples of 50.
28.
A series is given, with one word missing. Choose the correct alternative from the given ones that will complete the series.
Oxygen, Toil, Arouse, Arson, Tenuous, ?
Correct Answer
B. Lustrous
Explanation
Position of letter ‘O’ shifts to its right.
29.
A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
ZYX, VUT, QPO, MLK, HGF, ?
Correct Answer
A. DCB
30.
Bhavin’s birthday is on Monday 29th May. On what day of the week will be Rachit’s Birthday in the same year if Rachit was born on 17th November?
Correct Answer
D. Friday
31.
The weights of 4 boxes are 90, 40, 80 and 50 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes and in a combination a box can be used only once?
Correct Answer
A. 200
Explanation
260 = 90 + 40 + 80 + 50
180 = 90 + 40 + 50
170 = 90 + 80
200 = Not a possible combination
32.
If 6#30=5; 8#24=3; 7#28=4; then what is the value of 8#40=?
Correct Answer
C. 5
Explanation
30 ÷ 6 =5
24 ÷ 8 =3
28 ÷ 7 =4
40 ÷ 8 = 5
33.
Select the missing number from the given responses.
Correct Answer
B. 23
Explanation
100 + 34 = 134
31 + 86 = 117
64 + 23 = 87
34.
A word is represented by only one set of numbers as given in any one of the alternatives. The Sets of numbers given in the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example ‘K’ can be represented by 42, 34 etc and ‘Z’ can be represented first by its row and next by its column, for example ‘K’ can be represented by 42, 34 etc and ‘Z’ can be represented by 87, 78 etc. Similarly, you have to identify the set for the word ‘REAL’.
Correct Answer
B. 85,10,31,04
35.
Forecast : Future :: Regret : ?
Correct Answer
D. Past
Explanation
Forecast related to Future. Similarly, Regret is the past activity.
36.
For the following questions Find the odd word/letters/number from the given alternatives.
Correct Answer
B. Tomato
Explanation
Tomato is different because it grow above the earth.
37.
A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
PMT, OOS, NQR, MSQ, ?
Correct Answer
D. LUP
Explanation
There is (-1,+2,-1) gap.
38.
A, B, C, D and E are standing in a line facing North. E is standing 40 metres left to B. A is standing 20 metres left to C. D is standing 20 metres right to E and 50 metres right to C. Where is B standing from D?
Correct Answer
A. 20 metres right
39.
If + means ÷, ÷ means –, – means x and x means +, what will be the value of the following expression:
8 + 4 ÷ 3 × 5 – 9 = ?
Correct Answer
A. 44
Explanation
8 ÷ 4 – 3 + 5 × 9
= 2 – 3 + 45 = 44
40.
In this question, some equations are solved on the basis of a certain system. On the same basis find out the correct answer from amongst the four alternatives for the unsolved equation.
8 × 5 × 0 = 805, 7 × 4 × 6 = 764, 6 × 8 × 9 = ?
Correct Answer
B. 698
Explanation
From the shifting of digits of numbers.
41.
Which of the following figures correctly represents the relations between: Doctors, Lawyers, Professionals
Correct Answer
C. C
42.
For the following questions Find the odd word/letters/number from the given alternatives.
Correct Answer
B. 4574
Explanation
45 – 74 is not same digit in both Numbers.
43.
A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
206, 309, 412, ?, 618, 721
Correct Answer
C. 515
Explanation
There is +103 in every pair.
44.
Arrange the following words as per order in the dictionary:
1. Zeal 2.Zebra 3.Zygote 4.Zinc 5.Zest
Correct Answer
B. 1, 2, 5, 4, 3
Explanation
Correct sequence is – Zeal, Zebra, Zest, Zinc, Zygote.
45.
If ‘WZB’ stands for ‘DAY’, how will you code ‘MONDAY’?
Correct Answer
A. NLMWZB
Explanation
Opposite letter group of pair so, NLMWZB.
46.
Select the missing number from the given alternatives.
Correct Answer
B. 8
Explanation
7 × 8 + 4 = 60,
9 × 9 + 9 = 90
8 × 8 + 6 = 70
47.
Line : Square :: Arc : ?
Correct Answer
C. Circle
Explanation
Square is made up of line and circle is made up of Arc.
48.
For the following question, find the odd word/letters/number from the given alternatives.
Correct Answer
A. Tabla
Explanation
Tabla is not wired instrument.
49.
Choose the correct alternative from the given ones that will complete the series.
41, 43, 47, 53, ?
Correct Answer
C. 61
Explanation
41, 43, 47, 53, 61 because there is gap of +2, +4, +6, +8.
50.
Arrange the following words as per order in the dictionary.
1. Launch
2. Laugh
3. Lattice
4. Latent
5. Latitude
Correct Answer
A. 4, 5, 3, 2, 1
Explanation
Correct dictionary order is :-
4. Latent
5. Latitude
3. Lattice
2. Laugh
1. Launch