Quant Quiz

Quant Quiz

1. Mr. Rao invests a sum of Rs. 41, 250 at the rate of 6 p.c.p.a. What approximate amount of compound interest will he obtain at the end of 3 years?

A) Rs. 8,l00 

B) Rs 7,425 

C) Rs 8,210

D) Rs 7,879 

E) Rs 7,295

2.The profit after selling a pair of trousers for Rs. 863 is the same as the loss incurred after selling the same pair of trousers for Rs. 631. 

What is the cost price of the pair of trousers?

A) Rs 750 

B) Rs 800 

C) Rs 763 

D) Cannot be determined

E) None of these

3.The ratio of the length and the breadth of a rectangular plot is 6 : 5 respectively;

 if the breadth of the  plot is 34 metre less than the length, what is the perimeter of the rectangular plot?

A) 374 metre 

B) 408 metre 

C) 814 metre

D) 748 metre 

E) None of these

4. Ninad, Vikas and Manav enter into a partnership. Ninad‘ invests some amount at the beginning. 

Vikas invests double the amount after 6 months and Manav invests thrice the amount invested by Ninad afier 8 months.

 They earn a profit of Rs 45,000 at the end of the year. What is Manav’s share in the profit?

A)Rs 25,000 

B)Rs 15,000 

C)Rs 12,000 

D)Rs 9,000 

E) None of these

5. The cost of 7 tables and 12 chairs is Rs 48,250. What is the cost of 21 tables and 36 chairs?

A) Rs 96,500 

B) Rs l,25,500  

C) Rs l,44,750 

D) Cannot be determined

E) None of these

6. ‘A’ can complete a piece of work in 12 days. ‘A’ and ‘B’ together can complete the same piece of work in 8 days. 

In how many days can ‘B’ alone complete the same piece of work?

A) 15 days 

B) 18 days 

C) 24 days

D) 28 days 

E) None of these

7. What approximate value should come in place of the question mark (?) in the following question?

6523 ÷ 544 × l.2=?

A)21 

B)33 

C)14

D)8

E)28

8. Raman drove from home to a neighbouring town at the speed of 50 km/hr and on his return journey, 

he drove at the speed of 45 km/hr and also took an hour longer to reach home. What distance did he cover each way?

A)450 km 

B)225 km 

C)900 km 

D)500 km 

E) None of these

9. The average weight of a group of 75 girls was calculated as 47 kg. It was later discovered that the weight of one of the girls was read as 45 kg, 

whereas her actual weight was 25 kg. What is the actual average weight of the group of 75 girls? (Rounded off to two digits after decimal)

A)46.73 kg 

B) 46.64 kg

C) 45.96 kg 

D) Cannot be determined

E) None of these

10. In how many different ways can the letters of the word ‘MIRACLE’ be arranged? 

A) 720 

B) 5040 

C) 2520  

D) 40320 

E) None of these

11. The sum of the two digits of a two-digit number is 12 and the difference between the two-digits of the two-digit number is 6.
 What is the two-digit number? 

A) 39 

B) 84

C) 93 

D) Cannot be determined

E) None of these

12. If an amount of Rs. 74, 336 is equally divided amongst 150 people, how much approximate amount would each person get?

A) Rs. 522 

B) Rs. 485 

C) Rs. 496

D) Rs. 488 

E) Rs. 5 10

13. Mr. Sarang invests 6% of his monthly salary i.e. Rs 2,100 on insurance policies. 

Also he invests 8% of his monthly salary on family mediclaim policies and another 9% of his salary on NSCs. 
What is the total annual amount invested by Mr. Sarang? 

A) Rs 11,400 

B) Rs 96,600 

C) Rs 8,050

D) Rs 9,500 

E) None of these

14. A trader sells 145 metre of cloth for Rs 12,325 at the profit of Rs 10 per metre’ of cloth. What is the cost price of 1 metre of cloth?

A) Rs. 65 

B) Rs. 75 

C) Rs. 95

D) Rs 85

E) None of these

15. There are 7 dozen candles kept in a box. If there are 14 such boxes, how many candles are there in all the boxes together?

A) 1176 

B) 98 

C) 1216 

D) 168 

E) None of these

Answers:-
1. D
2. E
3. D
4. B
5. C
6. C
7. C
8. A
9. A
10. B
11. E
12. C
13. B
14. B
15. A

1. (D) CI = P [(1+6/100)^T-1 ] 
= 41250 [(1+6/100)^3-1 ] 
= 41250 ((53 × 53 × 53 - 50 × 50 × 50)/(50 × 50 × 50)) 
= 41250 ((148857 - 125000)/125000) 
=  (41250 - 23877)/125000 =Rs. 7879 

2.(E) CP of the pair of trousers = (863+631)/2 
= 1494/2 = kg 747 

3. (D) Let the length and breadth of the plot be 6x metre and 5x metre respectively. 
6x – 5x = 34 
X = 34 
Perimeter of the plot = 2(6 * 34 + 5 * 34) 
= 748 metre 

4.(B) Let the investment of Ninad be Rs x 
Investment of Vikas = Rs. 2x 
And investment of Manav = Rs. 3x 
Ratio of their investments 
= x * 12 : 2x * 6 : 3x * 4 
= 12x : 12x : 12x = 1 : 1 : 1 
Manav’s share in the profit = 1/3 * 45000  
= Rs. 15000

5. (C) Cost of 21 tables and 36 chairs = 3 * (48250) 
= Rs. 144750 

6. (C) Work of A for 1 day = 1/12
Work of (A + B) for 1 day = 1/8 
Work of B for 1 day = 1/8 – 1/12 = 1/24 
B alone can complete the same work in 24 days. 

7. (C) ? = 6523 ÷ 544 * 1.2 
= 6523/544  ×1.2=14 (App.)

8. (A)  Let the distance covered by him each way be x km. 
x/45 – x/50 = 1 
(10x-9x )/450=1 
x=450  

9. (A) Actual average wt. = (75 ×47 +25-45)/75 
= (3525-20)/75=3505/75 
= 46. 73 kg. 

10.(B) Reqd. different ways = 7p7
= 7!
= 5040

11. (E) Let the number be 10x + y 
x + y = 12 
and x – y = 6 
x = 9 
and y = 3 
or, x =3 
and y = 9 
Hence the no. may be 93 or 39. 

12.(C) The amount each would get = 74336/50 
= Rs. 496 (App.) 

13. (B) Total amount invested = 2100 * 23/6 = Rs. 8050 
Annual investment =Rs. 8050*12 = 96,600

14. (B) Let the cost of 1 metre of cloth be Rs. x.
(x + 10) * 145 = 12325 
145x + 1450 = 12325 
x = (12325-1450)/145=Rs.75 

15. (A) Total no. of candles = 14 * 7 * 12 = 1176