Quant Quiz for Competitive Exams (Banking/ SSC/ RAILWAYS/ Insurance)
This quiz contains 15 questions from arithmetic topics and are important for competitive exams like Banking, RAILWAYS, SSC and insurance exams. Try to attempt this quiz in a time bound manner not taking more than 10-12 minutes in solving it.
Q1. The sum of the digits of a two-digit number is 81 less than the number. What is the difference between the digits of the number?
(a) 6
(b) 3
(c) 1
(d) Cannot be determined
Q2. Two numbers are such that their difference, their sum and their product are in the ratio of 1:7:24. The product of the numbers is:
(a) 24
(b) 36
(c) 48
(d) 60
Q3. The traffic lights at three different signal points change after every 45 seconds, 75 seconds and 90 seconds respectively. If all change simultaneously at 7: 20: 15 hours, then they will change again simultaneously at
(a) 7: 28: 00 hours
(b) 7: 27: 45 hours
(c) 7: 27: 30 hours
(d) 7: 27: 50 hours
Q4. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?
(a) 4
(b) 10
(c) 15
(d) 16
Q5. Three girls start jogging from the same point around a circular track and each one completes one round in 24 seconds, 36 seconds and 48 seconds respectively. After how much time will they meet at one point?
(a) 2 minutes 20 seconds
(b) 2 minutes 24 seconds
(c) 3 minutes 36 seconds
(d) 4 minutes 12 seconds
Q6. Ratio between curved surface area and total surface area of a circular cylinder is 3: 5. If curved surface area is 1848 cm3 then what is the height of cylinder?
(a) 28
(b) 14
(c) 17
(d) 21
(e) 7
Q7. 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
(e) 12
Q8. Present age of A is 3 years less than present age of B. Ratio of B’s age 5 year ago and A’s age 4 year hence is 3 : 4 then find present age (in years) of A.
(a) 20
(b) 17
(c) 23
(d) 26
(e) 29
Q9. Elena’s age after 15 years will be 5 times of her age 5 years back. What is the present age of Elena?
(a) 10
(b) 37
(c) 35
(d) 11
(e) None of these
Q10. A mess has provisions for 60 days. If after 15 days 500 men strengthen then and the food lasts 40 days longer, how many men are there in the mess?
(a) 3500
(b) 4000
(c) 6000
(d) 8000
(e) None of these
Q11. Raman, Rohit and Raja are partners and invest in a business. Raman invests 1/4th of total and Rohit invest 1/3th of the total. What is the ratio of profit of Raman, Rohit and Raja respectively?
(a) 4: 3: 1
(b) 3: 4: 4
(c) 3: 4: 5
(d) 4: 3: 5
Q12.What must be added to each term of the ratio 9 : 5 so as to make it equal to 4 : 3?
(a) 7
(b) 15
(c) 6
(d) Can’t be determined
Q13. A rectangular courtyard 3.78 m long and 5.25 m wide is to be paved exactly with square tiles, all of the same size. What is the largest size of the tile which could be used for the purpose?
(a) 14 cm
(b) 21 cm
(c) 42 cm
(d) None of these
Q14. A bag contains Rs. 4100 in the form of Rs. 5, Rs. 2 and Rs. 1 coins. The numbers of coins are in ratio 4: 6: 9. So, find the number of 1 Rs. coins.
(a) 400
(b) 500
(c) 900
(d) 700
Q15. The ratio of cooper and Tin in a 63kg alloy is 4: 3. Some amount of copper is extracted from the alloy and the ratio becomes 10: 9. How much copper is extracted?
(a) 6 kg
(b) 8 kg
(c) 12 kg
(d) 10 kg
SOLUTIONS:-
Sol 1. (d) 10x + y – (x + y) = 81
9x = 81, So x = 9
Required numbers are 90, 91, 92, 93… 99.
Sol 2. (c) Let numbers be x and y.
ATQ, x + y = 7a, x – y = a, and xy = 24a
On solving, x = 4a, y = 3a
Hence 24a = 4a*3a. So, a = 2
Required product = 24*2 = 48
Sol 3. (b) LCM of 45, 75 and 90 = 450
So traffic lights will change again at 7min 30sec = 7:27:45 hrs.
Sol 4. (d) L.C.M. of 2, 4, 6, 8, 10, 12 = 120 sec.
Number of times it toll together in 30 minutes = 1800/120 + 1 = 16 times.
Sol 5. (b) L.C.M. of 24, 36, 48 = 144.
So, the three girls will meet at one point in 144 seconds i.e., 2 min 24 sec.
Sol 6. (d) 2πrh/2πr(r+h) = 3/5
2h = 3r
And 2πrh = 1848
2×22/7×2/3h×h=1848
h=21
Sol 7. (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
Sol 8. (a) Let B’s age = ?
So A’s age = ?−3
?−5/?+1=3/4
?=23
A’s age = 23−3=20 ?????
Sol 9. (a) Let Elena’s age = x
x + 15 = 5 (x – 5)
x = 10 years
Sol 10. (b) Let No. of soldiers = x
60 × x = 15x + 40 (x + 500)
60x =15x + 40x + 20000
5x = 20000
x = 4000
Sol 11. (c) Let total units be 12
Hence units invested by Raman: Rohit: Raja -= 3:4:5
Sol 12. (d) Let 9: 5 = 9x and 5y
ATQ, 9x + y / 5x + y = 4/3
27x + 3y = 20x + 4y
7x = y, Can’t be determined as cannot be solved further.
Sol 13. (b) Largest size of the tile = H.C.F. of 378 cm and 525 cm = 21 cm.
Sol 14. (c) Rs5: Rs 2: Re 1
Ratio of no. of coins = 4: 6: 9
Total amount= Rs 20: Rs 12: Rs 9
Then ATQ, 41R = 4100, R = 100
Hence, no. of coins of Re 1 = 9R = 900
Sol 15. (a) Initial Copper: Tin = 4:3
Final Copper: Tin = 10:9
Since only Copper is extracted, hence Tin remains same, therefore, (4: 3)*3 = 10: 9
Diff. between ration of copper = 2R,
ATQ, 21R = 63, R = 3
So, 2R = 6 kg copper extracted
0 responses on "Quant Quiz for Competitive Exams (Banking/ SSC/ RAILWAYS/ Insurance) : PART – 39"