Hello and welcome to exampundit. Here is a set of Quantitative Aptitude Quiz for SBI PO 2018 Prelims examination based on miscellaneous problems.
1. Rs. 425 is divided among 4 men, 5 women and 6 boys such as the share of a man, a woman and a boy may be in the ratio of 9 : 8: 4. What is the share of a woman?
1) 35
2) 32
3) 34
4) 36
5) None of these
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Option: 3
Explanation: Men : Women : Boy= 9*4 : 8*5 :4*6 = 36 : 40 : 24 = 9: 10:6
Share of 5 women= 425 * 10/25 = 170
Share of a woman= 170/ 5 =34
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2. In 30 litres mixture of milk and water, the ratio of milk and water is 7 : 3. Find the quantity of water to be added in the mixture in order to make this ratio 3:7 .
1) 50
2) 40
3) 30
4) 60
5) None of these
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Option: 2
Explanation: M= 30 * 7/10 = 21
W= 30 * 3/10 = 9
21/ 9 +X = 3/7
X= 40
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3. A , B and C are partners. A receives 2/5 of the profit and B and C share the remaining profit equally. A’s income is increased by Rs. 220 when the profit rises from 8% to 10%. Find the capital invested by A.
1) 11000
2)16500
3) 19500
4) 8250
5) None of these
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Option: 1
Explanation: A= 2/5
B+ C= 1 – 2/5 =3/5
2%= 220
100%= 220* 100/2 = 11000
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4. Two partners invested Rs. 50000 and Rs. 70000 respectively in a business and agreed that 70 % of the profits should be divided equally between them and the remaining profit in the ratio of investment. If one partner gets Rs. 90 more than that the other, find the total profit made in the business.
1)2000
2) 1800
3) 1600
4) 1500
5) None of these
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Option: 2
Explanation: Ratio = 5: 7
7X/10 * ½ = 7X/20
3X/10 * 5/12 =X/8
3X/10 * 7/12= 7X/40
7X/20 + 7X/40 – 7X/20 + X/8 = 90
21X/40 – 19X/40 = 90
X= 1800
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5. The sum of present ages of the father and the son is 56 yrs. 4 yrs hence the son’s age will be 1/3 that of the father . What is the present age of son?
1) 12
2) 10
3) 14
4) 15
5) None of these
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Option: 1
Explanation: Son= X/3 F= X
X/3 – 4 + X – 4 = 56
4X/3 – 8 = 56
X= 48
F= 48 S=16
Present age of son= 16 -4= 12
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6. A machine is sold for Rs. 5060 at a gain of 10%. What would have been the gain or loss % if it had been sold for Rs. 4370?
1)5% loss
2) 5% profit
3) 10% loss
4) 10% profit
5) None of these
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Option: 1
Explanation: 110 = 100
5060= 100*5060/110 = 4600
Loss= 4600 – 4370 = 230
% loss= 230/4600 * 100 = 5% loss
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7. A sum of money becomes triple itself in 20 yrs at SI. Find the rate of interest.
1) 12
2) 10
3)15
4) 20
5) None of these
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Option: 2
Explanation: Amount= 3 Principal= 1 SI= 2
Rate= 2*100 / 1 *20 = 10
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8. If 2 kg of metal of which 1/3 rd is zinc and the rest is copper, be mixed with 3 kg of metal of which ¼ th is zinc and the rest is copper. What is the ratio of zinc to copper in the mixture?
1) 43 : 17
2) 15:40
3) 17 :43
4) 40: 15
5) None of these
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Option: 3
Explanation: 2 *1/3 = 2/3 – Zinc
2* 2/3 = 4/3 = Copper
3 *1/4 = ¾ - Zinc
3 * ¾ = 9/4- Copper
2/3 +3/4 : 4/3 + 9/4 = 17/12 : 43/12 = 17: 43
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9. 4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish in 10days. In how many days will 10 women finish it?
1)40
2) 32
3) 36
4) 45
5) None of these
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Option: 1
Explanation: 4 men + 6women= 1/8 days
3 men + 7 women = 1/10 days
By solving the equation 10women=1/40
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10. P, Q and R can do a work in 6 , 8 and 12 days respectively. Doing that work together they get an amount of Rs. 1350. What is the share of Q in that amount?
1) 450
2) 350
3)475
4) 375
5) None of these
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Option: 1
Explanation: P : Q ; R= 1/6 : 1/8 : 1/12
4 : 3 : 2
Q= 3/9 * 1350 = 450
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