Quantitative Aptitude Quiz for UPSI: 23 April 2021

Updated Fri, 23 Apr 2021 03:53 PM IST

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Q 1 - If an amount of Rs. 100000 and 150000 invested by two person A and B respectively. If the earned profit of Rs. 24000 than what should be the share of A and B?

A - Rs 8600, Rs 12400
B - Rs 9600, Rs 14400
C - Rs 10600, Rs 15400
D - Rs 11600, Rs 16400


Q 2 - If an amount of Rs. 20000 and Rs.

Source: safalta

25000 invested by two partners in a business. But B left the business hand C joined the business with the capital of Rs. 15000 after the period of 4 year. An amount of Rs. 46000 earned as profit by the firm then what should be the share in profit of C?


A - Rs. 12000
B - Rs. 11000
C - Rs. 10000
D - Rs. 9000


Q 3 - Partners of a firms are A, B and C. Conditions of investments are: twice the A investment is equal to thrice the capital of B and the capital of B is four times in the comparison of C capital. What should be the share in profit of B if profit earned by Rs. 297000?

A - Rs 108000
B - Rs 118000
C - Rs 128000
D - Rs 138000


Q 4 - With an amount of Rs. 21000 started business by A. after some time , B joined the business by investing amount of Rs. 36000. If profit of the firm divided equally between them then find out how many month after B join the business?

A - 1
B - 5
C - 3
D - 4



Q 5 - If Rs. 1460 rent for a shadow hired by three person which are A,B and C. A puts in 10 cow for 20 days, B 30 cows for 8 days and C 16 cows for 9 days. How much rent paid by each partner?

A - 300, 400, 500
B - 200, 300, 380
C - 500, 600, 360
D - 100,200, 300


Q 6 - A can run 1 km in 3 min.10sec. And B can cover the same distance in 3 min. 20 sec. By what distance can A beat B?

A - 80 m
B - 70 m
C - 60 m
D - 50 m
 

Q 7 - In 100m race, A runs at 6 kmph. If A gives B a start of 4m and still beats him by 12 seconds, what is the speed of B?

A - 1.8 km/hr
B - 2.8 km/hr
C - 3.8 km/hr
D - 4.8 km/hr

Q 8 - A, B, C are the three contestants in a km race. If A can give B a start of 40m and A can give C a start of 64m, how many meters start can B give C?

A - 25 m.
B - 20 m.
C - 35 m.
D - 45 m.

Q 9. - A can run 1 km in 4min. 50 sec. and B in 5 min. How many meters start A give B in a km race so that the race may end in a dead heat?

A - 500/3 m
B - 400/3 m
C - 100/3 m
D - 200/3 m

Q 10 - In a race of 600m, A can beat B by 60m and in a race of 500m, B can beat C by 50m. By how many meters will A beat C in a race of 400m?

A - 46 m.
B - 56 m.
C - 66 m.
D - 76 m.

 Solution: 

1.
Answer - B

Explanation
Ratio of investment of A and B = 100000 : 150000 = 2:3 
Share of A  = (24000*2/5 ) = Rs. 9600
Share of B = ( 24000*3/5 ) = Rs. 14400

2.
Answer - A


Explanation
A: B: C =  (2000*12): (25000*12): (15000*8)=  12:5:6
Share of C = (46000* 6/23) = Rs. 12000

3.
Answer - A

Explanation
If capital of C be Rs. x . then Capital of B = 4x Rs. 
2( A's capital) = 3(B's capital) = Rs. (3*4x) = Rs. 12x
∴  A's capital = Rs. 6x
⇒ A's capital + B's capital + C's capital = 11x = 297000 
⇒ x = 27000
∴ B's share: 4x = Rs 108000 

4.

Answer - B

Explanation
We assume that after the period of x month B joined the business.
Capital of A = (21000*12)= Rs. 252000
Capital of B = {36000* (12-x) }= Rs. (432000-36000x)
252000= 432000- 36000x ⇒ 36000x= 180000 ⇒ x= 5
Hence, B joined after 5 months.

5.
Answer - C

Explanation
A, B and C  paid rent in the ratio = (10*20): (30*8): (16*9) = 25:30:18
Rent paid by A = Rs.( 1460* 25/73) = Rs. 500
Rent paid by B = Rs. (1460*30/730= Rs. 600
Rent paid By C = Rs. (1460* 18/73) = Rs. 360
 

6.
Answer - D

Explanation

Clearly, A beats B by 10 sec.

Distance covered by B in 10 sec. = (1000/200*10)m = 50m 

∴A beat B by 50 m.

7.
Answer - D

Explanation

Time taken by A to run 100m = (60*60/6000*100) sec. = 60 sec.

B covers (100-4) m in (60 +12) sec.

∴ B's speed = 96/72m/sec. = (96/72*18/5) km/hr = 4.8 km/hr

8.
Answer - C

Explanation

While A covers 1000m, B covers (1000-40)=960m and C covers (1000-64) =936m.

When B covers 960 m, C covers 936 m.

When B covers 1000m, C covers (936/960*1000)m =975m

∴ B gives C a start of (1000-975) m = 25 m.

9.
Answer - C

Explanation

Time taken by A to run 1 km = 290 sec.

Time taken by B to run 1 km = 300 sec.

A can give B a start of (300-290) = 10sec.

In 300 sec, B runs (1000/300*10) m = 100/3 m

∴ A can give B start of 100/3 m.

10.
Answer - D

Explanation

If A runs 600m, B runs 540 m.

If A runs 400m, B runs (540/600*400) m = 360m 

When B runs 500m, C runs 450m.

When B runs 360 m, C runs (450/500*360) m = 324 m.

∴ A beats C by (400-324) m =76 m.

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