Quant Quiz for SSC/ RAILWAYS/ DSSSB/ UPSC/ IB)– Part- 27

This *Online Free *Quant Quiz contains 15 questions on Mix topics and the topics are important for competitive exams like RAILWAYS, SSC, UPSC, IB, and DSSSB. Try to attempt this quiz in a time bound manner not taking more than 5-7 minutes in solving it.

**Q1.**
5% of one number (X) is 25% more than another number (Y). If the difference
between the numbers is 96 then find the value of X?

**(a)**
90

**(b)**
100

**(c)**
92

**(d)**
96

**Q2.**
The ratio of A’s age 3 years ago and B’s age 5 years ago is 4:5. If A is 4
years younger than B then what is the present age of B?

**(a)**
16

**(b)**
14

**(c)**
11

**(d)**
15

**Q3.**
The simple interest on a certain sum at 15% per annum for 5 year is Rs1500 more
to the simple interest on the same at 12% per annum for the same period. Find
the sum-

**(a)**
Rs 12000

**(b)**
Rs12500

**(c)**
Rs 8000

**(d)**
Rs 10000

**Q4.**
The total of the ages of a class of 60 girls is 900 years. The average age of
20 girls is 12 years and that of the other 20 girls is 16 years. What is the
average age of the remaining girls?

**(a)
**14
years

**(b)
**15
years

**(c)**
16 years

**(d)**
17 years

**Q5.**
A person cover 32km downstream is 240 minutes and same person cover 48 km
upstream in 1440 minutes. Then find the rate of current?

**(a)**
4kmph

**(b)**
5kmph

**(c)**
3kmph

**(d)**
2kmph

**Q6.**
By selling an article at certain price and 170% profit is earned. If CP is 20%
increased then what will be profit

**(a)**
130%

**(b)**
125%

**(c)**
100%

**(d)**
150%

**Q7.**
A boat goes 30 km downstream and 18 km upstream in 6 hours, again it goes 40
downstream and 20 km upstream in 223 hours. Find speed of boat.

**(a)**
6 km/h

**(b)**
8 km/h

**(c)**
10 km/h

**(d)**
12 km/h

**Q8.**
P×3/4 = Q×7/11. Find P∶Q.

**(a)**
33:28

**(b)**
21:44

**(c)**
44:21

**(d)**
28:33

**Q9.**
Simple interest at the rate 5% of a sum of money at the end of 15 year is Rs
250 less than the sum. Find principal.

**(a)**
Rs 1500

**(b)**
Rs 750

**(c)**
Rs 1000

**(d)**
Rs 2000

**Q10.**
Average of 17 numbers is 60, average of first 9 numbers is 64 and average of
last 9 numbers is 56, find the ninth number.

**(a)**
50

**(b)**
38

**(c)**
42

**(d)**
56

**Q11.**
If 32% of any number is 270 more than 17% of the same number, then find the
number

**(a)**
1200

**(b)**
1800

**(c)**
1500

**(d)**
1400

**Q12.**
The ratio of income of A, B and C is 3:7:4 and the ratio of their expenditure
is 4:3:5 respectively. If A saves Rs 300 out of Rs 2400, find the savings of C.

**(a)**
Rs 565

**(b)**
Rs 570

**(c)**
Rs 575

**(d)**
Rs 580

**Q13.**
P, Q and R can complete a work in 20 days, 24 days and 30 days respectively.
They start working together and worked for 4 days after which P left. Q also
left the work 6 days before the completion of work. In how many days, the work
was completed?

**(a)**
16 days

**(b)**
14 days

**(c)**
15 days

**(d)**
12 days

**Q14.**
A can complete a task in 15 days B is 50% more efficient than A. Both A and B
started working together on the task and after few days B left task and A
finished the remaining 13 of the given work. For how many days A and B worked
together.

**(a)**
3

**(b)**
5

**(c)**
4

**(d)**
6

**Q15.**
Train A completely crosses train B which is 205 m long in 16 second. If they
are travelling in opposite direction and sum of speed of both are 25 m/s. then
find the difference (in meter) between lengths of both trains.

**(a)**
5

**(b)**
6

**(c)
**8

**(d)**
10

**SOLUTIONS:-**

**Sol
1.**
(b)

X − Y = 96

Y = 4, X = 100

**Sol
2. (**d)
A = B – 4

B = 15, A = 11

**Sol
3.**
(d) 75% of P – 60% of P = 1500

P = Rs. 10000

**Sol
4.**
(d) 20(12) + 20(16) + 20x = 900

20x = 900 − 240 − 320

x = 17years

**Sol
5.**
(c) Let speed of person = x km/h

Speed of current = y km/h

x + y = 8

x − y = 2

x = 5km/h, and y = 3 km/h

**Sol
6.**
(b) Let CP = 100, Then SP = 100 + 170 = 270

New CP = 120

New profit = 270−120/120 × 100 =125%

**Sol
7. (**b)
Let speed of boat = u km/h and speed of flow = v km/h

On solving the equation, we get u = 8 km/h, and v = 2 km/h

**Sol
8.**
(d) P/Q = 28/33 = 28:33

**Sol
9.**
(c) Let sum of money = Rs P

P−250=P×15×5/100

4P−1000=3P

P=Rs 1000

**Sol
10.**
(c) Sum of 17 numbers = 17 × 60 = 1020

Sum of first 9 numbers = 64 × 9 = 576

Sum of last 9 numbers = 54 × 9 = 486

9th number = 576 + 486 – 1020 = 42

**Sol
11.**
(b) Let number be x

So 32% of x – 17%

x = 270 x=270×100/15=1800

**Sol
12.**
(c) Salary of A = 3x = Rs 2400, B = 7x = Rs 5600, C = 4x = Rs 3200

Expenditure of A, B and C = 4y, 3y & 5y respectively.

Saving of A is 300

Expenditure = 4y = (2400 – 300) = 2100, ? = 525

Expenditure of B = 3y = 1575

Savings of B = 4025

Expenditure of C = 5y = 2625

Savings of C = 575

**Sol
13.**
(b) Let total work = 120 units

Work done in 1st four days = 4 (6+5+4) = 60 units.

Work done in next x days = x (5+4) = 9x units.

Work done in last 6 days = 6×4 = 24 units.

∴ 60 + 9x + 24 = 120 ⇒ x = 4

So, total number of days = 4 + 4 + 6 = 14 days

**Sol
14.**
(c) A can complete work in 15 days and B will complete work in 10 days.

They together will complete whole work in =15×10/25=6 days

A and B together worked for = 6 × 2/3= 4 days

**Sol
15.**
(d) In 16 second distance covered by both A and B = 16 × 25 = 400 m

So length of A = 400 – 205 = 195

Required difference = 10 m

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