Mix Test

Result

Mix Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

The ages of Amit and Rahul are in the ratio 12 : 7 respectively. After 6 years, the ratio of their ages will be 3 : 2. What is the sum of their present ages?

A
32 years

B
38 years

C
36 years

D
40 years

Solution

Let the present ages of Amit and Rahul be 12x and 7x respectively.
After 6 years the ratio of their ages =
Hence, 2 (12x + 6) = 3 (7x + 6)
24x + 12 = 21x + 18
3x = 6
x = 2
Hence, the sum of their present ages = (12x + 7x) = 19x = 19 ×2 = 38 years.
Question 2
1 / -0

The ratio between the speeds of a car and a train is 15 : 22. If the speed of the train is 42 km/hr more than that of the car, what is the speed of the car?

A
92 km/hr

B
90 km/hr

C
88 km/hr

D
84 km/hr

Solution

Let the speeds of the car and the train be 15x and 22x, respectively.
Hence, speed of the train = 15x + 42
22x = 15x + 42
7x = 42
x = 6
Hence, the speed of the car is 15 ×6 = 90 km/hr
Question 3
1 / -0

A batsman makes a score of 94 runs in the 5^th innings and thus increases his average by 6. Find his average after the 5^th innings.

A
72

B
70

C
74

D
76

Solution

Let the average after 5^th innings be x
Average after 4^th innings = (x – 6)
Hence, 4 (x – 6) + 94 = 5x
4x – 24 + 94 = 5x
x = 70
Question 4
1 / -0

A total of 450 candidates appeared for an examination, of which 405 passed. What is the pass percentage?

A
90%

B
91%

C
92%

D
88%

Solution

Pass percentage = % = 90%
Question 5
1 / -0

The sum of three consecutive multiples of 6 is 144. What is the greatest number?

A
50

B
54

C
56

D
58

Solution

Let the numbers be 6x, 6x + 6, 6x + 6x + 12.
Then, 6x + (6x + 6) + (6x + 12) = 144
18x + 18 = 144
x = 7
Hence, the greatest number = 6x + 12 = 6 ×7 + 12 = 54
Question 6
1 / -0

In a two digit number, the digit in the unit's place is three times the digit in the ten's place and the sum of the digits is equal to 12. What is the number?

A
40

B
42

C
39

D
Data inadequate

Solution

Let the ten's digit be x. Then, unit's digit = 3x.
Hence, x + 3x = 12
x = 3.
So, ten's digit = 3, unit's digit = 9
Hence, the number is 39.
Question 7
1 / -0

900 boys and 600 girls appear for an examination test and 42% of the boys and 37% of the girls pass. What is the percentage of the total students who failed in the examination?

A
64%

B
62%

C
72%

D
60%

Solution

Total number of students = 900 + 600 = 1500.
Number of students passed = (42% of 900 + 37% of 600) = 378 + 222 = 600.
Number of failures = 1500 – 600 = 900
Hence, the percentage of students who failed = × 100 % = 60%
Question 8
1 / -0

A tank is filled with 16 buckets of water. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to of its present capacity?

A
65

B
60

C
58

D
56

Solution

Let the capacity of new bucket be x.
Then, the capacity of tank = 16x.
New capacity of bucket = x.
Hence, the required number of buckets = = 56
Question 9
1 / -0

The ratio of incomes of A and B is 4 : 3 and the ratio of their expenditures is 3 : 2. What is the income of A, if each of them saves Rs. 2000 at the end of the year?

A
Rs. 8000

B
Rs. 7500

C
Rs. 10,000

D
Rs. 12,000

Solution

Let the incomes of A and B be Rs. 4x and Rs. 3x respectively and let their expenditures be Rs. 3y and 2y respectively.
Then, 4x – 3y = 2000..... (i) and 3x – 2y = 2000......(ii)
On multiplying (i) by 2 and (ii) by 3 and subtracting, we get : x = 2000.
Hence, income of A = 4x = 4 × 2000 = Rs. 8000.
Question 10
1 / -0

A is twice as good a worker as B and together they finish a piece of work in 24 days. How many days will A take alone to finish the work?

A
40 days

B
36 days

C
34 days

D
32 days

Solution

If A takes x days to do a work, then B takes 2x days to do the same work.

So,

x = 36 days.
Hence, A alone can finish the work in 36 days.
Question 11
1 / -0

A train 300 m long is running at a speed of 64 kmph. How much time will the train take to cross a man who is running at a speed of 10 kmph in the same direction of the train?

A
15 sec

B
20 sec

C
22 sec

D
21 sec

Solution

Relative speed of the train = 64 – 10 = 54 kmph × = 15 m/s
Hence, the time taken by the train to cross the man = sec = 20 sec
Question 12
1 / -0

Two trains are moving in the same direction at 54 kmph and 45 kmph. The faster train crosses a man in the slower train in 24 sec. What is the length of the faster train?

A
60 m

B
80 m

C
100 m

D
120 m

Solution

Relative speed of the faster train = 54 – 45 kmph = 9 × m/s = m/s
So, the distance covered by the faster train in 24 s = × 24 = 60 m
Hence, the length of the faster train is 60 m.
Question 13
1 / -0

On dividing the number 20,452 by a certain number, the quotient is 79 and the remainder is 149. What is the divisor?

A
262

B
257

C
267

D
269

Solution

Divisor =

=
Question 14
1 / -0

What is the smallest 4-digit number which is exactly divisible by 58?

A
1044

B
1042

C
1040

D
1046

Solution

Smallest 4-digit number is 1000
So, on dividing 1000 by 58, the remainder is 14.
Number to be added = 58 – 14 = 44.
Hence, the required number = 1044.
Question 15
1 / -0

Find the odd one out in the given series.

3, 27, 4, 27, 5, 27, 7

A
4

B
7

C
3

D
5

Solution

In the given series, the terms at odd places are 3, 4, 5, 6.......and at even places is 27. So, 7 is the odd one.