Q1. A, B and C together start a business. The ratio of investment of A and B is 7 : 8 and that of B and C is 4 : 9. B gets a share of Rs. 7104 in annual profit. What is C’s share in the profit?
(a) Rs. 16984
(b) Rs.16894
(c) Rs. 15984
(d) Rs. 14894
Q2. If 27N4 is divisible by 11, then what is the value of N?
(a) 2
(b) 7
(c) 9
(d) 6
Q3. A watch having marked price as Rs 8400 is sold for Rs 5040 after two successive discounts. If the first discount is 25% then what is the numerical value of second discount percentage?
(a) 0.15
(b) 0.2
(c) 0.25
(d) 0.3
Q4. If P : Q : R = 2 : 3 : 5, then what is the value of (P + Q) : (Q + R) : (R + P)?
(a) 5:8:7
(b) 2:3:5
(c) 5:8:10
(d) 4:9:25
Q5. Average age of 20 students is 21 years. 2 students leave the group and 1 new student joins the group. The average now becomes 20 years. If age of one of the student who left the group is 26 years and the one who joined is 20 years, then what is the age (in years) of the other student who left the group?
(a) 24
(b) 34
(c) 22
(d) 36
Q6. How many numbers are there from 300 to 650 which are completely divisible by both 5 and 7?
(a) 8
(b) 9
(c) 10
(d) 12
Q7. Raman can do a work in 5 days, Jatin can do the same work in 7 days and Sachin can do the same work in 9 days. If they do the same work together and they are paid Rs 2860, then what is the share (in Rs) of Raman?
(a) 1260
(b) 700
(c) 900
(d) 870
Q8. If the diameter of a sphere is 14 cm, then what is the surface area (in cm2) of the sphere?
(a) 616
(b) 308
(c) 462
(d) 636
Q9. After two successive discounts of 20% and 35%, an article is sold for Rs 50700. What is the marked price (in Rs) of the article?
(a) 92500
(b) 98500
(c) 97500
(d) 94000
Q10. Rs 3200 is divided among A, B and C in the ratio of 3 : 5 : 8 respectively. What is the difference (in Rs) between the share of B and C?
(a) 400
(b) 600
(c) 800
(d) 900
Solutions
S1. Ans.(c)
Sol. A : B = 7 : 8
B : C = 4 : 9 = 8 : 18
∴ A : B : C = 7 : 8 : 18
Sum of ratios = 7 + 8 + 18 = 33
Now, C’s share = 18/8×7104
= Rs. 15984
S2. Ans.(c)
Sol. 27N4 is divisible by 11
Sum of odd places number – sum of even places number = 0
∴ (4 + 7) – (N + 2) = 0
⇒ 11 – N – 2= 0
⇒ N = 9
S3. Ans.(b)
Sol. 8400×75/100×x/100=5040
⇒x=(5040×100)/(75×8400)×100
⇒x=80
∴ 20% discount
S4. Ans.(a)
Sol. ATQ,
P : Q : R = 2 : 3 : 5
∴ P = 2x, Q = 3x, R = 5x
Hence,
(P + Q) : (Q + R) : (R + P)
= (2x + 3x) : (3x + 5x) : (5x + 2x) = 5 : 8 : 7
S5. Ans.(b)
Sol. Let age of other student who left the group be x
∴ 21 × 20 + 20 – 26 – x
= 20 × 19
⇒ x = 34 years
S6. Ans.(c)
Sol. Numbers divisible by both 5 & 7 must be divisible by LCM of 5 and 7 ie 35.
∴ B/w 300 & 650, numbers divisible by 35 starts from 315 and ends at 630.
∴ total 10 numbers
S7. Ans.(a)
Sol. We know, the wages are divided in the ratio of the work efficiency
Now,
(63 + 45 + 35) units → 2860
∴ 63 units → 2860/143×63
= 1260
∴ Raman’s share = Rs 1260
S8. Ans.(a)
Sol. Radius of sphere, r = 7cm
∴ surface area = 4πr²
=4×22/7×7×7
= 616 cm²
S9. Ans.(c)
Sol. Let the marked price be Re x
∴ x × 0.8 × 0.65 = 50700
⇒ x=50700/(0.8×0.65)=97500
S10. Ans.(b)
Sol. ATQ,
A : B : C = 3 : 5 : 8
16 units → 3200
3 units→3200/16×3=600
∴ Required difference = Rs 600
