221. A rectangular carpet has an area of 120 sq.m and a perimeter of 46 m. The length of its diagonal is:_________?
A. 15 m
B. 16 m
C. 17 m
D. 20 m
✅ The correct answer is option C. 17 m.
Mathematics
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222. One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in?
A. 81 min
B. 108 min
C. 144 min
D. 192 min
✅ The correct answer is option C. 144 min.
223. There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?
A. 17
B. 29
C. 23
D. 31
✅ The correct answer is option B. 29.
224. 3 men and 7 women can complete a work in 10 days . But 4 men and 6 women need 8 days to complete the same work . In how many days will 10 women complete the same work?
A. 50
B. 30
C. 40
D. 13
✅ The correct answer is option C. 40.
Work done by 4 men and 6 women in 1 day = 1/8
Work done by 4 men and 6 women in 1 day = 1/8
Work done by 3 men and 7 women in 1 day = 1/10
Let 1 man does m work in 1 day and 1 woman does w work in 1 day. The above equations can be written as
4m + 6w = 1/8 —(1)
3m + 7w = 1/10 —(2)
Solving equation (1) and (2) , we get m=11/400 and w=1/400
Amount of work 10 women can do in a day = 10 × (1/400) = 1/40
Ie, 10 women can complete the work in 40 days
225. Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full is_______?
A. 6 hrs
B. 6 2/3 hrs
C. 7 hrs
D. 7 1/2 hrs
✅ The correct answer is option C. 7 hrs.
226. The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is____________?
A. Rs. 3500
B. Rs. 4000
C. Rs. 4050
D. Rs. 5000
✅ The correct answer is option B. Rs. 4000.
227. A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
A. Rs.8000, Rs.17000
B. Rs.9000, Rs.16000
C. Rs.18000, Rs.7000
D. Rs.10000, Rs.15000
✅ The correct answer is option D. Rs.10000, Rs.15000.
228. In a series of six consecutive even numbers, the sum of the second and sixth numbers is 24. What is the fourth number?
A. 8
B. 12
C. 6
D. 14
✅ The correct answer is option B. 12.
229. Danish his car at a speed of 120 kmph for the first 2 hours and then at a speed of 100 kmph for the next half an hour. Find the distance covered by him during the entire journey.
A. 300 km
B. 290 km
C. 250 km
D. 240 km
✅ The correct answer is option B. 290 km.
Total distance = (120*2) + (100*(1/2)) = 290 km
Total distance = (120*2) + (100*(1/2)) = 290 km
230. A class has 90 students. If the ratio of boys and girls is 7:8, find the number of boys in the class.
A. 48
B. 42
C. 60
D. 70
✅ The correct answer is option B. 42.
7x+8x=90 15x=90 x=6 Number of boys=7x=42
7x+8x=90 15x=90 x=6 Number of boys=7x=42