#everydayquiz #30Questions
Directions (Q. 1–2): What approximate value should come in the place of question mark (?) in the following questions?
1. 4201 ÷ 59.998 × 29.88 = ? × 21.145
1) 90
2) 80
3) 85
4) 100
2. 959.98 × 780.01 ÷ 23.99 = ?
1) 30200
2) 30800
3) 31200
4) 21200
5) 30600
3. A man bought a mobile and a laptop for Rs. 78000. He sold the mobile at a gain of 25% and the laptop at a loss of 15%, thereby gaining 5% on the whole. Find the cost price of mobile.
1) Rs. 39000
2) Rs. 34000
3) Rs. 30000
4) Rs. 38000
5) Rs. 32000
4. In a regular week, there are 6 working days and for each day the working hours are 8. A man gets Rs. 40 per hour for regular work and Rs. 45 per hour for overtime. If he earns Rs. 10,500 in 5 weeks, then how many hours does he work for?
1) 220
2) 240
3) 260
4) 210
5) 280
5. A class has an equal number of boys and girls. Ten girls left the class to practice for music, leaving thrice as many boys as girls in the classroom. What was the total number of girls and boys present initially in the classroom?
1) 50
2) 40
3) 35
4) 30
5) 38
6. Surbhi's science test consist of 85 questions from three sections- i.e. A, B and C. 10 questions from section A, 30 questions from section B and 45 question from section C. Although, she answered 70% of section A, 50% of section B and 60% of section C correctly. She did not pass the test because she got less than 60% of the total marks. How many more questions she would have to answer correctly to earn 60% of the marks which is passing grade?
1) 4
2) 2
3) 5
4) 6
5) 8
7. A house owner wants to get his house painted. He is told that this would require 45 kg of paint. Allowing for 6.25% wastage and assuming that the paint is available in 4 kg tins, the number of tins required for painting the house?
1) 18
2) 11
3) 14
4) 13
5) 12
8. One litre of water is evaporated from 8 litre solution containing 5% sugar. The percentage of sugar in the remaining solution is:
1) 5.71%
2) 6.12%
3) 5%
4) 7.17%
5) 6%
9. Two men together start a journey in the same direction. They travel 12 and 20 km/day respectively. After travelling for 8 days the man travelling at 12 km/day doubles his speed and both of them finish the distance in the same time. Find the number of days taken by them to reach the destination.
1) 28 days
2) 26 days
3) 24 days
4) 30 days
5) 22 days
10. Divide Rs. 12615 between P and Q so that P's share at the end of 6 years may equal to Q's share at the end of 8 years, compound interest being 5%.
1) Rs. 6015, Rs. 6600
2) Rs. 6615, Rs. 6000
3) Rs. 7615, Rs. 5000
4) Rs. 6215, Rs. 6400
5) Rs. 6415, Rs. 6200
Answers:
1. 4
? = (4200 / 60 * 30)/21 = 70*30/21 = 100
2. 3
? = 960 * 780 / 24 = 31200
3. 1
Let the cost price of mobile be Rs. x and laptop be Rs.(78000-x)
x * 25/100 - (78000-x) * 15/100 = 78000 * 5/100
25x + 15x – 78000 × 15 = 78000 × 5
40x = 78000 × 20
x = Rs. 39000
4.3;
Suppose the man works overtime for x hours.
Now, working hours in 5 week = 5 × 6 × 8 = 240 hr.
240 × 40 + x × 45 = 10, 500
9600 + 45x = 10,500
x = (10500 - 9600)/45 = 20hr
Total hours = 240 + 20 = 260hr
5. 4; Let the number of boys and girls be x each
3(x – 10) = x 2x = 30
x = 15
Total number of students = 2x = 30
6. 2; Number of questions attempted correctly
= 70% of 10 + 50% of 30 + 60% of 45
= 7 + 15 + 27 = 49
Passing grade = 60/100 * 85 = 51
Reqd Ans = 51 - 49 = 2
7. 5; Total paint required = 45 + wastage = 45 + x
x/(45 + x) * 100 = 6.25
100x = 281.25 + 6.25x
x = 3kg
Total number of tins = (45 + 3)/4 = 12 tins
8. 1
Sugar contained = 5/100 * 8 = 0.4
Now, % sugar in remaining solution = 0.4/7 * 100 = 5.71%
9. 3;
For distance,
Distance travelled in 8 days by 1st man,
D1 = 12 × 8 = 96 km.
and by 2nd man,
D2 = 20 × 8 = 160 km
For remaining distance, let both take t days
to reach the final destination.
x – 96 = 2 × 12 × t
x – 96 = 24 t .......... (i)
and x – 160 = 20 t ...... (ii)
From (i) and (ii); we get,
x – 96 – x + 160 = 24 t – 20 t
64 = 4 t
t = 16 days.
Total number of days = 16 + 8 = 24 days.
10. 2
Q's share = 1 / (1 + 5/100)^6 : 1 / (1 + 5/100)^8
= 1 : (100/105)^2
= 21^2 : 20^2
= 441 : 400
P's share = 441/841 * 12615 = Rs. 6615
Q's share = 400/841 * 12615 = Rs. 6000
1.A is thrice as good a workman as B and therefore, able to finish a job in 60 days less than B. Working together they will do it in:
(1) 20 days
(2) 22.5days
(3) 25 days
(4) 30 days
(4) 30 days
(5) None of these
2.Two pipes A and B can fill a tank in 20 minutes and 30 minutes respectively. If both pipes are opened together. The time taken to fill the tank is:
(1) 50 minutes
(2) 12 minutes
(3) 25 minutes
(4) 15 minutes
(5) None of these
3.If 6 men and 8 boys can do a piece of work in 10 days and 26 men and 48 boys can do the same in 2 days. The time taken by 15 men and 20 boys to do the same type of work will be:
(1) 5 days
(2) 4 days
(3) 6 days
(4) 7 days
(5) None of these
4.If a man walks 20 km at 5 km/hr, he will be late by 40 minutes. If he walks at 8 km per hr, how early from the fixed time will he reach?
(1) 15 minutes
(2) 25 minutes
(3) 50 minutes
(4) 1.5 hours
(5) None of these
5.A boy rides his bicycle 10 km at an average speed of 12 km per hr and again travels 12 km at an average speed of 10 km per hr His average speed for the entire trip is approximately:
(1) 10.4 km/hr
(2) 10.8 km/hr
(3) 11.0 km/hr
(4) 12.2 km/hr
(5) None of these
6.A train 180 m long moving at the speed of 20 m/sec. over takes a man moving at a speed of 10m / sec in the same direction. The train passes the man in:
(1) 6 sec
(2) 9 sec
(3) 18 sec
(4) 27 sec
(5) None of these
7.The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels to wards B at 60 km / hr another train starts from B at 9 a.m. and travels towards A at 75 km/ hr At what time do they meet?
(1) 10 a.m.
(2) 10 :30 a.m.
(3) 11 a.m.
(4) 11 :30 a.m.
(5) None of these
8.In covering a certain distance, the speeds of A and B are in the ratio of 3 : 4. A takes 30 minutes more than B to reach the destination. The taken by A to reach the destination is:
(1) 1 hour
(2) 1.5 hours
(3) 2 hours
(4) 2.5 hours
(5) None of these
9.In an examination, there were 1000 boys and 800 girls. 60% of the boys and 50% of the girls passed. Find the percent of the candidates failed?
(1) 46.4
(2) 48.4
(3) 44.4
(4) 49.6
(5) None of these
10.If A exceeds B by 40%, B is less than C by20%, then A : C is :
(1) 28 : 25
(2) 26 : 25
(3) 3 : 2
(4) 3 : 1
(5) None of these
Answers with Explanation
1.Successive discounts of 10%, 20% and 50% will be equivalent to a single discount of
(1) 36%
(2) 64%
(3) 80%
(4) 56%
(5) None of these
2.A retailer offers the following discount schemes for buyers on an article.
I.Two successive discounts of 10%
II.A discount of 12% followed by a discount of 8%
III. Successive discounts of 15% and 5 %,.
IV. A discount of 20%.
The selling price will be minimum under the scheme
(1) I
(2) II
(3) III
(4) IV
(5) None of these
3.A mixture contains 80% acid and rest water. Part of the mixture that should be removed and replaced by same amount of water to make the ratio of acid and water 4 : 3 is
(1) 1/3 rd
(2) 3/7 rd
(3) 2/3 rd
(4) 2/7 rd
(5) None of these
4.An employer reduces the number of his employees in the ratio 9 : 8 and increase their wages in the ratio 14 : 15 If the original wage bill was Rs. 18,900, find the ratio in which the wage bill is decreased.
(1) 20 : 21
(2) 21 : 20
(3) 20 : 19
(4) 19 : 21
(5) None of these
5.The batting average for 40 innings of a cricketer is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. The highest score of the player is
(1) 165
(2) 170
(3) 172
(4) 174
(5) None of these
6.A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the ratio of gold and copper in C will be
(1) 5 : 7
(2) 5 : 9
(3) 7 : 5
(4) 9 : 5
(5) None of these
7.In a laboratory, tow bottles contain mixture of acid and water in the ratio 2:5 in the first bottle and 7 : 3 in the second. The ratio in which the contents of these two bottles be mixed such that the new mixture has acid and water in the ratio 2 : 3 is
(1) 4 : 15
(2) 9 : 8
(3) 21 : 8
(4) 1 : 2
(5) None of these
8.The average of three numbers is 154. The first number is twice the second and the second number is twice the third. The first numbers is
(1) 264
(2) 132
(3) 88
(4) 66
(5) None of these
9.The average salary of all the staff in an office of a corporate house is Rs. 5 ,000. The average salary of the officers is Rs. 14, 000 and that of the rest is Rs. 4,000. If the total number of staff is 500, the number of officers is
(1) 10
(2) 15
(3) 25
(4) 50
(5) None of these
10.The average marks of 40 students in an English exam is 72. Later it is found that three marks 64,62 and 84 were wrongly entered as 68, 65 and 73. The average after mistakes were rectified is
(1) 70
(2) 72
(3) 71.9
(4) 72.1
(5) None of these
Answers with Explanation
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