The correct answer is A

Explanation:

Average = 12∗(1+2+3+4+5) ∗

= 12 ∗ 15∗

= 12 ∗ 3= 36

The Correct answer is (B)

Answer with explanation:

The digit 5 has two place values in the numeral, 5 * 10⁵ = 50,000 and 5 * 10¹ = 50.

∴Required difference = 50000 – 50 = 49950

The Correct answer is (B)

Explanation:

Principal (P) = Rs. 2500

Rate of interest(r) = 4%

Time (t) = 2 years

Compound Interest = Amount ? Principal

Amount(A)=P		1 +	r		t
			100

= 2500		1 +	4		2
			100

= 2500 +

C.I. = 2704 ? 2500 = Rs. 204

The Correct answer is (B)

Explanation:

Sohan’s capital be C1 = 80000

Mohan’s capital be C2 = 65000

Sohan’s time be T1 = 12 months

Mohan’s time be T2 = 6 months

Profit earned = 20000

Apply formula:

Therefore, Sohan’s share =

Solution: 2

Ratio of their profits=

Therefore, Profit of Sohan: Profit of Mohan = 32:13

Then, Sohan’s share =

The Correct answer is (D)

Explanation:

Let the age of son = X years

∴Age of mother would be =2X

As per question 20 years ago;

10 (X -20) = 2X – 20

10X – 200 = 2X – 20

10X – 2X= – 20 + 200

8X = 180

X== 22.5 years

∴Age of mother = 22.5 * 2 = 45 years

The correct option is (B)

Explanation:

The year 1996 is divisible by 4, so it is a leap year with 2 odd days.

As per the question, the first day of the year 1996 was Monday, so the first day of the year 1997 must be two days after Monday. So, it was Wednesday.

The correct answer is B

Answer with explanation:

Let the speed of stream = X km/hr

Speed of boat = 5 km/hr

Speed upstream = 3km/hr

Apply formula: Speed upstream = speed of boat – speed of stream

∴ 3 = 5 – X

X = 5 – 3 = 2 km/hr

The Correct answer is (B)

Explanation:

The hands of a clock coincide only once between 11 O’ clock and 1 O’ clock, so in every 12 hours, the hands of a clock will coincide for 11 times.

∴ In a day or 24 hours, the hands of a clock will coincide for 22 (11+11) times.

The Correctoption is(B)

Answer with explanation:

Let AB be the height of lighthouse and C and D be the positions of the ships.

AB = 100 meters, ∠ACB = 45°, ∠ADB = 60°

AC = AB (100m)

AC = 100 m

Distance between ships, CD = AC + AD

The Correct answer; option (A)

Explanation:

x % of a given number ‘n’ =

x = 40 and n = 280

∴ 40 % of 280 =* 280 = 112

Correct answer; option (B)

Answer with explanation:

Net part of the tank filled in one hour;

1/12 part of the tank can be filled in one hour.

The tank will be filled completely in 12 hours.

Solution 2:

X = 6 hours and Y = 12 hours

	6*12
	12—6

=12 hours

The Correct answer is (B)

Answer with explanation:

C.P. = Rs. 2000

S.P. = Rs. 2500

Profit or Gain = S.P. -C.P.

= 2500 – 2000 = 500

Apply formula: Profit % =Profit ∗100
                                      C.P.
       =500 ∗100 =25 %
         2000

The correct answer is (B)

Answer with explanation:

• Distance = 500 meters
• Time = 4 minutes ⟶ 4 x 60 = 240 seconds

Speed =⁵⁰⁰⁄₂₄₀=²⁵⁄₁₂m/s

We need answer in km/hr:

Speed in km/hr=²⁵⁄₁₂*¹⁸⁄₅=⁹⁰⁄₁₂⟶³⁰⁄₄= 7.5 km/s

The Correct answer is (B)

Answer with explanation:

Principal amount = Rs. 36000

Rate of interest = 6

Number of years or time = 6 years

The correct option is (C).

Answer with explanation:

Length of the train is equal to the distance covered by train to cross the pole. So, we will find the distance travelled by the train in 7 seconds by applying the following formula:

Distance= Speed x Time

Speed is given in Km/hr so we will convert it into m/s as answers are given in meters.

Speed=90* = 25 m/s

Time = 7 seconds

Distance = 25 * 7= 175 meters

The Correct answer is (B)

Explanation:

Worker A completes the task in 8 days. So in one day he will completepart of the task.

So, A’s one day work =

Similarly, B’s one day work =

∴ (A+B)’s one day work =

of the task is completed in one day so both will complete the whole task in^days

The Correct answer is (B)

Answer with explanation:

The mixture has 10% water, so the milk would be 90% of 60 liters.

Milk =  90  * 60 = 54 liters
            100        

∴Water = 60 ? 54 = 6 liters

Let water to be added = x liters

Now,   6+x  * 100 = 20
           60+x       

  6+x  =    1  
  60+x      5  

30 + 5x = 60+x

30 – 60 = x ? 5x

– 30 = – 4x

x =30  =7.5 liters
      4     

Answer: C

Explanation:

5^1/4 x (125)^0.25
5^1/4 × (5³ )^1/4= 5 =5

Answer: B

Explanation:

By Division Method

Therefore the HCF is 73

Answer: C

Explanation:

Area of a triangle = ½ * base * height
So, the area = ½* 5 * 10
                   =25 square meters

Answer: D

Explanation:

C’s share = [C’s ratio/ sum of ratios] * total amount
C’s share = (5/10) * 1260
C’s share = 630

Answer: B

Explanation:

A runs 1km = 1000 m, it means B runs 1000 – 40 = 960 meters
Time is taken by B for 40 meters = 5 seconds
Time is taken by B for 960 meters = × 960=120 seconds

The time in which B covered 960 meters, A has covered 1000 meters.
∴ A’s time over the course = 120 seconds
                                           = 2 minutes

Answer: B

Explanation:

The sample space when a dice is rolled, S = (1, 2, 3, 4, 5 and 6)
So, n (S) = 6
E is the event of getting an even number.
So, n (E) = 3
So, the probability of getting an even number P (E) =
                                    = = 3/6 = 1/2

Answer: C

Explanation:

Surface area of cube = 6 a²
600 = 6 a²
a² = 100
                                                    a= =10 cm
Diagonal of cube = a = × 10 = 10 cm

Answer: B

Explanation:

18.834 + 818.34 – ? = 618.43

Or, 18.834 + 818.340 – 618.43 =?

837.174 – 618.430 = 218.744

Answer: D

Explanation:

Answer: B

Explanation:

Let the face value of the share = Rs. 100
Dividend per share = 9
As per the question, an income of Rs. 180 is obtained from an investment of Rs. 4000.
So, an income of Rs. 9 is obtained from an investment of Rs. = (4000/180) * 9 = 200
So, the market price of the share = Rs. 200

Answer: C

Explanation:

Let 5 men can reap a field in x days
So, put the same quantities on the same side.
Men: Days
Now, Men and Days are inversely proportional to each other. If we increase the number of men fewer days will be required to complete the work.
Inversely proportional means

i.e., 5: 15 = 28: x
Or, x = (28*15)/ 5
Or, x = 84 days
Hence, 5 men can reap a field in 84 days.

Answer: C

Explanation:

Face value = Rs. 2700
TD = Rs. 200
PW (present worth) = FV (face value) – TD (true discount)
                                = 2700 ? 200 = Rs. 2500
True discount is the simple interest on the present value for the unexpired time.
Now, simple interest on Rs. 2500 for unexpired time = Rs. 200
The rate of simple interest

Banker’s discount is the simple interest on the face value of the bill for unexpired time, i.e., simple interest on Rs. 2700 for unexpired time or remaining time.
R = 8%
Banker’s discount

Answer: C

Explanation:

Let log_2√2 [1/256] = x

We know that log_a y = x is similar to a^x = y

So, we can write it as [1/256] = (2√2) ^x

Or, (2√2) ^x = [1/2⁸]

Or, [2¹ * 2^1/2]^x = 1/2⁸

Or, 2^3x/2 = 2-8

Therefore, 3x/2 = -8

Hence, x = (-8 * 2)/ 3 = -16/3

Answer: C

Explanation:

= 80

∴ ?=14²= 14 × 14 = 196

Answer: B

Explanation:

Let the required number be x.
So, according to the question:

Answer: C

Explanation:

The second number is one more than twice the first,
2 x 2 +1 = 5

The third number is one less than twice the second,
5 x 2 -1 = 9

The fourth number is one more than twice the third,
9 x 2 +1 = 19

The fifth number is one less than twice the fourth.
19 x 2 – 1 = 37

Therefore, the sixth number is one more than twice the fifth. So, the missing number:
37 x 2 + 1 = 75.

Answer: D

Explanation:

Adding 2 to the L.H.S and R.H.S of the equation:

x²+2+=34+2[∵(a+b)²=a²+b²+2ab]

(x+)²= 36

(x+)= +6,-6

Answer: D

Answer with the explanation:

The word RUMOUR consists of 6 words in which R and U are repeated twice.
Therefore, the required number of permutations =
Or, = 180

Hence, 180 words can be formed by arranging the word RUMOUR.