- Total number of questions : 20
- Time allotted : 30:00 Minutes:Seconds.
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1.

If one "automatic" solution is trivial solution. solution of a linear homogeneous equation is a

2.

Find the one which does not belong to that group ?

3.

There is a small island in middle of 100 m wide river and a tall tree stands on island. P and Q are points directly opposite to each other on two banks. If angles of elevation is 30º and 45º.

4.

An accurate clock shows 10 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 6 o'clock in the evening?

5.

How many times in a day, the hands of a clock are straight?

6.

How many bags of grain can be stored in a cuboid granary 12 m × 6 m × 5 m. If each bag occupies a space of 0.48 m⊃3;?

7.

Suresh wanted to keep volume of his right circular cone shaped cap same, but increase its height to 9 times. By how much should he increase or decrease the radius?

8.

A plot has a concrete path within its borders on all sides having uniform width of 4m. The plot is rectangular with sides 20m and 15m. Charge of removing concrete is Rs. 6 per sq.m. How much is spent in removing all the concrete?

9.

A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?

10.

A train 120 m long passes a telegraph post in 6 seconds. Find the speed of the train.

11.

If a train crosses a pole in 12 seconds while travelling at a speed of 45km/hr, then in how much time will the train cross a bridge of length 600m at same speed?

12.

In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?

13.

A car covers a distance of 624 km in 6 ½ hours. Find its speed?

14.

A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

15.

A squirrel can climb 5 metres of a pole in one minute but slips 2 metres in the next minute. How much time will the squirrel take to climb 26 metres?

16.

By factorizing 54x - 45y, answer must be

17.

A class eats 2/5 of chocolates on 1st day. On the 2nd day they eat 3/4 of the remainder. How many chocolates were there initially if still 75 chocolates are left?

18.

What value will replace the question mark in the following equations ?

5172.49+378.352+?=9318.678 ?-7328.96+5169.38

19.

The natural numbers below 660 which are divisible by 5 and 11 but not by 3 are?

20.

A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C ?

Total number of questions : 20

Number of answered questions : 0

Number of unanswered questions : 20

1.

If one "automatic" solution is trivial solution. solution of a linear homogeneous equation is a

Your Answer : (Not Answered)

Correct Answer : **B**

No answer description available for this question.

2.

Find the one which does not belong to that group ?

Your Answer : (Not Answered)

Correct Answer : **B**

Except 110, other numbers are divisible by 4.

3.

Your Answer : (Not Answered)

Correct Answer : **C**

No answer description available for this question.

4.

Your Answer : (Not Answered)

Correct Answer : **D**

Hour hand travels 30 degree per hour.

For, 8 hours, 8 x 30 = 240

5.

How many times in a day, the hands of a clock are straight?

Your Answer : (Not Answered)

Correct Answer : **C**

In 12 hours, the hands coincide or are in opposite direction 22 times.

In 24 hours, the hands coincide or are in opposite direction 44 times a day.

6.

Your Answer : (Not Answered)

Correct Answer : **A**

No answer description available for this question.

7.

Your Answer : (Not Answered)

Correct Answer : **B**

No answer description available for this question.

8.

Your Answer : (Not Answered)

Correct Answer : **B**

No answer description available for this question.

9.

A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?

Your Answer : (Not Answered)

Correct Answer : **B**

Speed = 60 * 5/18 = 50/3 m/sec

Length of the train = speed * time = 50/3 * 9 = 150 m

10.

A train 120 m long passes a telegraph post in 6 seconds. Find the speed of the train.

Your Answer : (Not Answered)

Correct Answer : **D**

No answer description available for this question.

11.

Your Answer : (Not Answered)

Correct Answer : **B**

No answer description available for this question.

12.

Your Answer : (Not Answered)

Correct Answer : **D**

T = 60/36 * 18/5 = 6 sec

13.

A car covers a distance of 624 km in 6 ½ hours. Find its speed?

Your Answer : (Not Answered)

Correct Answer : **A**

624/6 = 104 kmph

14.

A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

Your Answer : (Not Answered)

Correct Answer : **B**

No answer description available for this question.

15.

Your Answer : (Not Answered)

Correct Answer : **C**

No answer description available for this question.

16.

By factorizing 54x - 45y, answer must be

Your Answer : (Not Answered)

Correct Answer : **A**

No answer description available for this question.

17.

Your Answer : (Not Answered)

Correct Answer : **A**

Let there be 100 chocolates

215th of 100 40 chocolates eaten on first day

314th of the remaining 314th of (100-40) 45 chocolates

Chocolates left 100-40-45 15 chocolates

15 chocolates are left when 100 are there

75 chocolates are left when ? chocolates are there? = **500 Chocolates**

18.

What value will replace the question mark in the following equations ?

5172.49+378.352+?=9318.678 ?-7328.96+5169.38

Your Answer : (Not Answered)

Correct Answer : **B**

No answer description available for this question.

19.

The natural numbers below 660 which are divisible by 5 and 11 but not by 3 are?

Your Answer : (Not Answered)

Correct Answer : **A**

If the number is divisible by 5 and 11 it must be divisible by 55.

The numbers are less than 660.

Hence, dividing 659 by 55 gives the number of multiples of 55 = 11 (ignoring fraction part).

The 11 multiples of 55 which are less than 560, but of these 11 multiples some can be multiples of 3.

The numbers of such, multiples is the quotient of 11 by 3.

Quotient of 11/3=3.

Out of 11 multiples of 55, 3 are multiples of 3.

Hence, numbers less than 660 and divisible by 5 and 11 but not by 3=11−3=8

20.

Your Answer : (Not Answered)

Correct Answer : **C**

Let the age of A = \(A\), B = \(B\) and C = \(C\)

From given,

\(A = 3B\)

4 years ago,

\(A + 4 = 31\)

\(\Rightarrow A=27\)

sub in above \(B\) , we get \(B\) = 9

\(C = 2(27 - 4) + 4 = 46 + 4 = 50 \)

Hence B = 9years and C = 50years.

Total number of questions : 20

Number of answered questions : 0

Number of unanswered questions : 20

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