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Instruction:

  • Total number of questions : 20.
  • Time alloted : 30 minutes.
  • Each question carry 1 mark, no negative marks.
  • DO NOT refresh the page.
  • All the best :-).

1.

Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?

A.
8 kmph
B.
11 kmph
C.
12 kmph
D.
14 kmph

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Let the distance travelled by x km.

Then, x - x = 2
10 15

3x - 2x = 60

x = 60 km.

Time taken to travel 60 km at 10 km/hr = 60 hrs = 6 hrs.
10

So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.

Required speed = 60 kmph. = 12 kmph.
5

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2.

What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?

A.
344.35 cm2
B.
462 cm2
C.
498.35 cm2
D.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

h = 14 cm, r = 7 cm.

So, l = (7)2 + (14)2 = 245 = 75 cm.

Total surface area = rl + r2
= 22 x 7 x 75 + 22 x 7 x 7 cm2
7 7
= [154(5 + 1)] cm2
= (154 x 3.236) cm2
= 498.35 cm2.

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Direction (for Q.No. 3):
Find out the wrong number in the series.
3.

190, 166, 145, 128, 112, 100, 91

A.
100
B.
166
C.
145
D.
128
E.
112

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Go on subtracting 24, 21, 18, 15, 12, 9 from the numbers to get the next number.

190 - 24 = 166
166 - 21 = 145
145 - 18 = 127 [Here, 128 is placed instead of 127]
127 - 15 = 112
112 - 12 = 100 ... and so on.

Therefore, 128 is wrong.

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4.

What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?

A.
1
B.
14
C.
20
D.
21

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.

Number of such number =14

Required percentage = 14 x 100 % = 20%.
70

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5.

A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?

A.
45%
B.
45 5 %
11
C.
54 6 %
11
D.
55%

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Number of runs made by running = 110 - (3 x 4 + 8 x 6)

= 110 - (60)

= 50.

Required percentage = 50 x 100 % = 45 5 %
110 11

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Direction (for Q.No. 6):
Insert the missing number.
6.

2, 4, 12, 48, 240, (....)

A.
960
B.
1440
C.
1080
D.
1920

Your Answer: Option (Not Answered)

Correct Answer: Option B

Explanation:

Go on multiplying the given numbers by 2, 3, 4, 5, 6.

So, the correct next number is 1440.

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7.

An observer 1.6 m tall is 203 away from a tower. The angle of elevation from his eye to the top of the tower is 30. The heights of the tower is:

A.
21.6 m
B.
23.2 m
C.
24.72 m
D.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Let AB be the observer and CD be the tower.

Draw BE CD.

Then, CE = AB = 1.6 m,

      BE = AC = 203 m.

DE = tan 30 = 1
BE 3

DE = 203 m = 20 m.
3

CD = CE + DE = (1.6 + 20) m = 21.6 m.

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Direction (for Q.No. 8):

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

  • Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
8.

A boat takes a total time of three hours to travel downstream from P and Q and upstream back from Q to P. What is the speed of the boat in still water?

I. 

The speed of the river current is 1 km per hour.

 II. 

The distance between P and Q is 4 km.

A.
I alone sufficient while II alone not sufficient to answer
B.
II alone sufficient while I alone not sufficient to answer
C.
Either I or II alone sufficient to answer
D.
Both I and II are not sufficient to answer
E.
Both I and II are necessary to answer

Your Answer: Option (Not Answered)

Correct Answer: Option E

Explanation:

 I. Speed of the current = 1 km/hr.

II. PQ = 4 km.

Let the speed of the boat in still water be x km/hr. Then,

4 + 4 = 3. This gives x.
(x + 1) (x - 1)

Correct answer is (E).

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9.

A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by:

A.
100 m
B.
111 1 m
9
C.
25 m
D.
50 m

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

When B runs 25 m, A runs 45 m.
2

When B runs 1000 m, A runs 45 x 1 x 1000 m = 900 m.
2 25

B beats A by 100 m.

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10.

The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

A.
4 years
B.
8 years
C.
10 years
D.
None of these

Your Answer: Option (Not Answered)

Correct Answer: Option A

Explanation:

Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.

Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50

5x = 20

x = 4.

Age of the youngest child = x = 4 years.

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Direction (for Q.No. 11):

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

11.

What is the principal sum?

I. 

The sum amounts to Rs. 690 in 3 years at S.I.

II. 

The sum amounts to Rs. 750 in 5 years at S.I.

 III. 

The rate of interest is 5% p.a.

A.
I and III only
B.
II and III only
C.
I and II only
D.
I and III only, or II and III only
E.
Any two of the three

Your Answer: Option (Not Answered)

Correct Answer: Option E

Explanation:

Clearly, any two of the three will give us the answer.

Correct answer is (E).

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12.

Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:

A.
36
B.
45
C.
48
D.
49

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Relative speed = (60+ 90) km/hr

   = 150 x 5 m/sec
18

   = 125 m/sec.
3

Distance covered = (1.10 + 0.9) km = 2 km = 2000 m.

Required time = 2000 x 3 sec = 48 sec.
125

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13.

A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

A.
69.5 km/hr
B.
70 km/hr
C.
79 km/hr
D.
79.2 km/hr

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Let the length of the train be x metres and its speed by y m/sec.

Then, x = 8     =>     x = 8y
y

Now, x + 264 = y
20

=> 8y + 264 = 20y

=> y = 22.

Therefore Speed = 22 m/sec = ( 22 x 18 ( km/hr = 79.2 km/hr.
5

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14.

(17)3.5 x (17)? = 178

A.
2.29
B.
2.75
C.
4.25
D.
4.5

Your Answer: Option (Not Answered)

Correct Answer: Option D

Explanation:

Let (17)3.5 x (17)x = 178.

Then, (17)3.5 + x = 178.

3.5 + x = 8

x = (8 - 3.5)

x = 4.5

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Direction (for Q.No. 15):

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

  • Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
15.

What is the capacity of a cylindrical tank?

I. 

Radius of the base is half of its height which is 28 metres.

 II. 

Area of the base is 616 sq. metres and its height is 28 metres.

A.
I alone sufficient while II alone not sufficient to answer
B.
II alone sufficient while I alone not sufficient to answer
C.
Either I or II alone sufficient to answer
D.
Both I and II are not sufficient to answer
E.
Both I and II are necessary to answer

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

I gives, h = 28 m and r = 14.

Capacity = r2h, which can be obtained.

Thus, I alone gives the answer.

II gives, r2 = 616 m2 and h = 28 m.

Capacity = (r2 x h) = (616 x 28) m3.

Thus, II alone gives the answer.

Correct answer is (C).

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16.

How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?

A.
40
B.
400
C.
5040
D.
2520

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

'LOGARITHMS' contains 10 different letters.

Required number of words = Number of arrangements of 10 letters, taking 4 at a time.
= 10P4
= (10 x 9 x 8 x 7)
= 5040.

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17.

Find the highest common factor of 36 and 84.

A.
4
B.
6
C.
12
D.
18

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

36 = 22 x 32

84 = 22 x 3 x 7

H.C.F. = 22 x 3 = 12.

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Direction (for Q.No. 18):

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

  • Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
18.

What is the number?

I. 

The sum of the two digits is 8. The ratio of the two digits is 1 : 3.

 II. 

The product of the two digit of a number is 12. The quotient of two digits is 3.

A.
I alone sufficient while II alone not sufficient to answer
B.
II alone sufficient while I alone not sufficient to answer
C.
Either I or II alone sufficient to answer
D.
Both I and II are not sufficient to answer
E.
Both I and II are necessary to answer

Your Answer: Option (Not Answered)

Correct Answer: Option C

Explanation:

Let the tens and units digit be x and y respectively. Then,

 I. x + y = 8 and x = 1
y 3

I gives, 4y = 24       y = 6.

So, x + 6 = 8       x = 2.


II. xy = 12 and x = 3
y 1

II gives, x2 = 36       x = 6.

So, 3y = 6       y = 2.


Therefore, Either I or II alone sufficient to answer.

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Direction (for Q.No. 19):

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

  • Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
19.

What is the sum which earned interest?

I. 

The total simple interest was Rs. 7000 after 7 years.

 II. 

The total of sum and simple interest was double of the sum after 5 years.

A.
I alone sufficient while II alone not sufficient to answer
B.
II alone sufficient while I alone not sufficient to answer
C.
Either I or II alone sufficient to answer
D.
Both I and II are not sufficient to answer
E.
Both I and II are necessary to answer

Your Answer: Option (Not Answered)

Correct Answer: Option E

Explanation:

Let the sum be Rs. x.

I gives, S.I. = Rs. 7000 and T = 7 years.

II gives, Sum + S.I. for 5 years = 2 x Sum         Sum = S.I. for 5 years.

Now, S.I. for 7 years = Rs. 7000.

S.I. for 1 year = Rs. 7000 = Rs. 1000.
7

Thus, I and II both are needed to get the answer.

Correct answer is (E).

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Direction (for Q.No. 20):

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

20.

What is the present age of Tanya?

I. 

The ratio between the present ages of Tanya and her brother Rahul is 3 : 4 respectively.

II. 

After 5 years the ratio between the ages of Tanya and Rahul will be 4 : 5.

 III. 

Rahul is 5 years older than Tanya.

A.
I and II only
B.
II and III only
C.
I and III only
D.
All I, II and III
E.
Any two of the three

Your Answer: Option (Not Answered)

Correct Answer: Option E

Explanation:

  I. Let the present ages of Tanya and Rahul be 3x years and 4x years.

 II. After 5 years, (Tanya's age) : (Rahul's age) = 4 : 5.

III. (Rahul's age) = (Tanya's age) + 5.


From I and II, we get 3x + 5 = 4 . This gives x.
4x + 5 5

Tanya's age = 3x can be found. Thus, I and II give the answer.


From I and III, we get 4x = 3x + 5. This gives x.

Tanya's age = 3x can be found. Thus, I and III give the answer.


From III : Let Tanya's present age be t years.

Then Rahul's present age = (t + 5) years.

Thus, from II and III, we get : t = 4 . This gives t.
t + 5 5

Thus, II and III give the answer.

Correct answer is (E).

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